I need help quickly, I'm preparing for a test! Help is appreciated!
Solve each triangle. Round your answers to the nearest tenth. (#4)

I Need Help Quickly, I'm Preparing For A Test! Help Is Appreciated!Solve Each Triangle. Round Your Answers

Answers

Answer 1

The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.

Then the other two angles and the side CA will be

The side CA is given by the cosine rule. Then we have

[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]

Then angle A will be given by the sine rule. Then we have

[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]

Then the angle C will be

     ∠A + ∠B + ∠C = 180°

65.37° + 97° + ∠C = 180°

                       ∠C = 17.63°

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Related Questions

what is this? please help​

Answers

Answer:

50

Step-by-step explanation:

to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:

48+50+5+60+37+50=300

divide 300 by 6= 50

Answer: it is the first choice which is 50 .

Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .

SEE THE PICTURE ATTACHED

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.

Answers

Answer:

$134.89.

Step-by-step explanation:

Monthly interest = 0.06/12 and its for 5*12 months.

Amount after 5 years = 100(1 + 0.06/12)^(5*12)

= 100(1 + 0.06/12)^60

= $134.89

the dimensions of a rectangle can be represented by the expressions (x+7) and (x-3). if the area of the rectangle is 75 square feet, find the value of x.

Answers

Answer:

Step-by-step explanation:

Area of rectangle is  b*h

so

a = (x-3)(x+7)

75 = (x-3)(x+7)

75 = x²+4x-21

0 = x²+4x-96

(x+12)(x-8)=0

x = -12, or x = 8

X^2-11x+24
I need to convert the quadratic equation from expanded to factored form

Answers

Answer:

[tex](x - 3) \: (x - 8)[/tex]

Step-by-step explanation:

We were given the equation:

[tex] {x}^{2} - 11x + 24 = 0[/tex]

Therefore in order to factorize we first need to find the numbers that add to be equal to -11 and multiply to be equal to 24. The two numbers are:

[tex] - 8 \: and \: - 3 \\ \\ - 8 + ( - 3) = - 11 \\ - 8 \times - 3 = 24[/tex]

So the new equation is

[tex]{x}^{2} - 8x - 3x + 24 = 0 \\ \\ factorize: ( {x}^{2} - 8x) \: ( - 3x + 24) = 0 \\ \\ x(x - 8) \: - 3(x - 8) \\ \\ therefore : (x - 3) \: ( x - 8) = 0[/tex]

Answer:

Step-by-step explanation:

Comment

There are a lot of choices. Luckily the middle term is minus and the third term is plus, so you don't have to juggle minus signs around. Both factors are minus when put together with x.

-3 - 8

-4 - 6

-2 -12

-1 - 14

I think these are all the possible factors.

-4 + - 6 = - 10  Not the answer. It needs to be - 11

-2 + -12 = -14  Not the answer. It needs to be - 11

-1 + - 24 = -25 Just about as far away as you can get. Not the answer

So A must be right

-3 + -8 = - 11

That's what it should be. So the factors are

Answer:

(x -3)(x - 8)= x^2 - 11x + 24

Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?

Answers

Answer:

36

Step-by-step explanation:

You multiply354 and 16 then divide

4. Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week and there are four weeks in a month: Alice: $3 per day, Betty: $25 every two weeks, Cindy: $75 per month

Answers

Answer:

greatest to least: cindy, betty, alice

Step-by-step explanation:

multiply each amount by 20- 5 days times 4 weeks

3*20=60 for alice

25*3=75 betty

75*3=225 cindy

lim x→∞ √x²+x(2a+2b)+4ab-x
notice : all coefficients and variables are in the root
AND IF YOU CAN'T ANSWER, DON'T ANSWER THIS QUESTION!!!!!​
( WITH THE STEPS!)

Answers

[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]

9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.​

Answers

Answer: 37 students in the class

Step-by-step explanation:

Let n = number of books,

Let s = number of students

We get the following expressions:

n = 3s + 17

4 = [tex]\frac{n}{s-5}[/tex]

Solve this system using substitution:

[tex]4=\frac{3s+17}{s-5}[/tex]

[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]

[tex]4s -20 = 3s+17\\[/tex]

[tex]s-37 = 0\\[/tex]

[tex]s=37[/tex]

Determine the domain of the following graph:


Please help!! Desperate

Answers

The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the picture, a graph is shown.

The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.

The domain of the function:

D: x ∈ (-3, 7)

Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

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Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?

Answers

Answer:

-4 and -8

Step-by-step explanation:

(x+4)(x+8) = 0

x+4 = 0 or x +8 = 0

x = -4 or x = -8

The city library has 763,045 books. What is the value of the digit 6 in this
number?


I tried to do this problem but I have to do something like this

Answers

Answer:

The 6 is in the ten-thousands place

Step-by-step explanation:

6 written as a ten-thousand is 60,000

I need help understanding this, please explain it with the answer.

Suppose y varies inversely with x, and y = −3 when x = 14.

What is the value of y when x = −7?
This is the last question on my HW, and I'm tired, so help would be greatly appreciated :)

Answers

Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

When y varies inversely with x, the rule is given by:

[tex]y = \frac{k}{x}[/tex]

y = −3 when x = 14, hence we use this to find k.

[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]

Then:

[tex]y = -\frac{42}{x}[/tex]

Then when x = -7, y = -42/-7 = 6.

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Tata's age is 10 years younger than Kaka's age.
Three years from now, the sum of their ages
is 40 years. Tata's current age is
year.
a.12 b.15. c.22. d.25

help me -!

Answers

Answer:

c. 22

Step-by-step explanation:

Let x = Tata's age and y = Kaka's age.

x - 10 = y

x+3 + y+3 = 40

Now, we can substitute in x - 10 for y.

x + 3 + (x - 10) + 3 = 40

so 2x = 44

x = 22

Therefore, Tata's current age is 22.

the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?

Answers

Answer:

$70.76 or 70.7595

Step-by-step explanation:

Here’s the function:

67.39(1+0.05)^1

Hope this helps! ;-)

3. the stem-and-leaf plot shows the cost of lamps at a department store.



(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.

Answers

Answer:

I don't know F but if y'all do let me now.

Step-by-step explanation:

(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.

(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.

(e) Price and other details may vary based on product size and color.

The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.

The median cost

The stem and leaf plot that completes the question is added as an attachment.

The median cost is the leaf element at the middle.

The plot has 18 leaves.

So, the median position is:

Median = (18 + 1)/2 = 9.5th

This means that the median is the mean of the 9th and the 10th items.

So, we have:

Median = (58 + 58)/2

Median = 58

Hence, the median cost is $58

The modal cost

This is the element with the highest frequency in the plot.

From the attached plot 65 has the highest frequency of 3

Hence, the modal cost is 65

The difference between the most and least expensive lamps

From the plot, we have:

Most expensive = 78

Least expensive = 12

The difference (d) is:

d = 78 - 12

d = 66

Hence, the difference between the most and least expensive lamps is 66.

Number of lamps that cost more than $20 but less than $40

This means that we check the items in the range 20 to 40 (exclusive)

The elements in this range are:

25, 28, 30, 32 and  34

Hence, 5 lamps that cost more than $20 but less than $40

Ratio of lamps that cost less than $40 to more than $40

From the plot, we have:

Less than $40 =  6

More than $40 =  12

The ratio is represented as:

Ratio = 6 : 12

Simplify

Ratio = 1 : 2

Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2

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HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

OMG. I GOT IT ITS 7.

PLEASE HELP ME!!!!!!!

Graph the function () = 12 (2) squared on the coordinate plane

Answers

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

Can somebody help me find the area of this composite shape

Answers

Alone, this shape cannot have the area solved in one step.  So, you must break it up into multiple pieces.

For this, we can break it up into a rectangle, and a right triangle.

The area formula for a rectangle is [tex]area = l*w[/tex]

The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]

To find the area of the rectangle, multiply 14 * 18 = 252 m^2

To find the length of the triangle, subtract 20 - 14 = 6

To find the height of the triangle, subtract 18 - 11 = 7

So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2

21 + 252 = 273 meters squared

Hope this helps, feel free to ask any questions

- Jeron    :)

A bag containing... ​

Answers

draw a probability tree to symbolise it.
i) 280/8000 x 6/1= 1680/8000 (simplify if needed)
ii) 1638/8000(simplify if needed)
iii) 2730/8000(simplify if needed)

Which is the graph of the inequality?

3y−9x≥9

Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.


Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.


Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.


Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.

Answers

A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.

How to get the graph of the inequality?

Here we have the inequality:

3y - 9x ≥ 9

First, we should isolate y on one side of the inequality.

3y  ≥ 9x + 9

y  ≥ 3x + 3

Then, the graph will be a solid line of the form:

y =  3x + 3

Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.

Also, notice that for the line:

y = 3x + 3

if x = -1 we have:

y = 3*(-1) + 3 = 0

if x = 0 we have:

y = 3*0 + 3 = 3

Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.

"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."

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What is 10% of 695,000

Answers

Answer:

69500

Step-by-step explanation:

[tex]\frac{695000}{x}=\frac{100\%}{10\%}\\\frac{x}{695000}=\frac{10}{100}\\\Rightarrow x=69500[/tex]

factor out the ___ from the number to make it positive​

Answers

factor out the -1 to make it positive

Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.

Answers

Answer:

use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.

Step-by-step explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.

Answers

As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

What is Parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.

To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.

The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.

The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).

Using this formula, we can find the coordinates of the reflected parallelogram:

- The reflected image of point C(-4,-4) is (-4, 8).

- The reflected image of point D(-2, 0) is (-2, 4).

- The reflected image of point E(6, 1) is (6, 3).

- The reflected image of point F(4, -3) is (4, 7).

Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

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Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?

Answers

Answer:

4/663.

Step-by-step explanation:

There are  4 aces and 4 2's in a pack of cards.

Prob(First drawing an Ace) = 4/52 = 1/13.

After drawing this card there are now 51 cards left, so:

Prob(Next drawing a 2) = 4/51.

Required probability

= 1/13 * 4/51

=  4/663

Answer:

First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Since we cannot Reduce, There is your answer!

[tex]\frac{4}{663}[/tex]

∫Maybe·Kuro∫

You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer

Answers

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

how do u solve this equation? ↓
10 = 7 - m
thanksss

Answers

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

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The perimeter of a rectangle is 22,411 inches. The width of the
rectangle is 260 inches. What is the length, in inches, of the rectangle?

Answers

Answer:

Step-by-step explanation:

P = perimeter of the rectangle; and w = width of the rectangle.

Use the formula:

Length(L) = P/2 - w

Plug In:

22,411 ÷ 2 - 260

Solve:

22,411 ÷ 2 = 11205.510945.5

Answer is L = 10,945.5 inches
explain: perimeter is all 4 sides added together

We know one side is 260
we know the perimeter is 22,411

260 + 260 + L + L = 22,411
combine like terms

520 + 2L = 22,411
subtract 520 from both sides to isolate 2L

2L = 21,891
divide both sides by 2 to isolate L

L = 10,945.5 inches

I need help on this problem

Answers

Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

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A) an article in a research journal examining the effects on the body Xylitol B) personal testimony of a woman whose pet died after eating food with Xylitol C) a newspaper editorial railing against the effects of some food preservatives D) a brochure produced by the makers of Xylitol detailing its benefits and drawbacks Explain why scientists classify organisms and how scientists classify species. Please help!!!!!!!! Thank you sooo much! Lesson 4.04 Instructions You will research an environmental activist organization. You will communicate your findings on the Environmental Heroes: Anyone Can Be One worksheet by writing a reflection paragraph and sharing what you learned about using images with your words by choosing two media formats to include with your paragraph. Step 1: Choose one of these environmental advocacy organizations to research. You are welcome to research another environmental organization that protects one of your personal passions. (Right click on the link below and then Open hyperlink OR use the links on the last page of the 4.04 lesson) WildEarth Guardians Friends of the Everglades The Rainforest Foundation The Marine Mammal Center Ocean Conservancy American Farmland Trust Step 2: Visit the organizations website, and use your detective skills to answer the essential questions below. You may find some important information at the About or Our Mission section on the website. Search to find the following information and record your findings in the chart below: **When you record information from research, write it in your own words. Do not copy the words from your source. It is easy to get a thought in your own words! First, read the paragraph. Next, turn away from the computer and explain aloud what you have just read without referring to the original text. What you explained in your own words is what you should record in the chart below. Essential Questions The Answers What is the name of the organization? When were they founded? Why were they founded? (This information may be found in an Our Mission section of the website.) What do they actually do? What are their goals? (This information may be found in an Our Vision section of the website.) Why is their work important? Step 3: Write a five to seven sentence informational paragraph about the important work of the organization you have selected. Use the information you recorded in the chart above to help you write your paragraph. [Text Wrapping Break]Write your 5-7 sentence informational paragraph about your organization explaining how they help the environment HERE: Tips: Remember to include a topic sentence at the beginning of your paragraph. A topic sentence should restate the question and include the name of the organization. **All information should be in your own words. No portion of your paragraph should have copied words from the source you researched. Step 4: Choose (or create) TWO different media formats that will portray the mission of your organization. For example, on page 7 in the lesson when you learned about the Loggerhead Marinelife Center, they used multiple media formats to portray the goal and mission of the organization. You only need to choose TWO. Examples of different types of media formats are: Maps, organizer charts, graphs, pictures, hand drawn illustrations, audio, and video Place your TWO types of MEDIA here: