What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

What Is The Area Of This Triangle?Enter Your Answer As A Decimal In The Box. Round Only Your Final Answer

Answers

Answer 1

Answer:

38.6 in^2

Step-by-step explanation:

Find the third side using law of cosines

11.1^2 + 7^2 - 2(11.1)(7)cos 84   = x^2

  x = 12.49

semi perimeter =  (11.1 + 7 + 12.49)/2 = 15.29

Heron's formula for triangle area with 3 side lengths given

sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2


Related Questions

7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?

Answers

Answer:

17.29162

Step-by-step explanation:

[tex]\sqrt{18^2-5^2}[/tex]

__________________________________________

Evaluate the equation/expression:

[tex]17.29162[/tex]

I hope this helps you

:)

Which distribution has the greatest spread? A. distribution 1 B. distribution 2 C. distribution 3 D. distribution 4

Answers

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

Based on the graphs of the equations y = 2x + 4 and y = x2 – x + 4, the solutions are located at points:

(3, 10) and (–2, 0)
(–2, 0) and (0.5, 3.75)
(3, 10) and (0, 4)
(0.5, 3.75) and (0, 4)

Answers

the answer is among the choices is letter choice B

The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The system of the equations are given below.

y = 2x + 4            …1

y = x² – x + 4       …2

From equation 1 and 2, then the equation will be

x² – x + 4 = 2x + 4

   x² – 3x = 0

  x(x – 3) = 0

            x = 0, 3

At x = 0, the value of the y will be

y = 2(0) + 4

y = 0+ 4

y = 4

At x = 3, the value of the y will be

y = 2(3) + 4

y = 6 + 4

y = 10

Thus, the solution of the equations will be (0, 4) and (3, 10).

Then the correct option is C.

The graph of the line and the parabola is given below.

More about the solution of the equation link is given below.

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Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?

Answers

Answer:

15.85

Explanation:

Po = D1 / (k-g)

Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate

Po = (5.10 (1-0.13)) / (0.15-(-0.13))

Po= 15.85

Stacy buys a bagel assortment that has 6 oat bagels for every 2 blueberry bagels. Naomi buys a bagel assortment that has 9 oat bagels for every 5 blueberry bagels. Each girl bought 10 blueberry bagels.

Stacy’s Bagels
Oat 6 12 18 24 30 36
Blueberry 2 4 6 8 10 12

Naomi’s Bagels
Oat 9 18 27 36 45 54
Blueberry 5 10 15 20 25 30

Find the number of oat bagels that each girl bought.

Stacy bought
oat bagels, and Naomi bought
oat bagels.

Answers

Answer: Stacy: 30 Naomi: 18

Step-by-step explanation:

Stacy- ratio of oat to blueberry is 6:2 we want to find x:10

10 is 5 times 2, and whatever you do to the bottom you have to do to the top, and 6 times 5 is 30


Naomi- ratio of oat to blueberry is 9:5 we want to find x:10

The 10 is 2 times 5, and whatever you do to the bottom you have to do to the top, and 9 times 2 is 18

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Answers

Answer:

152 sq in

Step-by-step explanation:

Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)

Area of a triangle is:

A = 1/2 b•h

= 1/2 •8•4

= 16

There are 2 of these triangles.

A_bases = 32

Then there are 3 rectangle sides, area of a rectangle is:

A = l × w (or b•h)

6 × 5 = 30

6 × 8 = 48

6 × 7 = 42

Add up all the areas.

32 + 30 + 48 + 42

Total surface area is:

A = 152 sq in

Answer:

152

Step-by-step explanation:

I really need this, someone help

Answers

6+6+8+14=34 all you need to do is add them I think

(PLEASE HELP DUE TODAY!!!!!!!!!!!!!!!!!1) Did you know that 1000 can be written as the sum of the 5 consecutive positive integers beginning with 198? That is,1000=198+199+200+201+202 Also, 1000 can be written as the sum of 16 consecutive positive integers beginning with 55. That is,1000=55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70 It is also possible to write 1000 as a sum of 25 consecutive positive integers. This is the maximum number of consecutive positive integers that could be used to create the sum. Determine the smallest of the positive integers in this sum. Explain or show how you got your answer.

Answers

Answer:

Alright! So, the formula is

x+x+1+x+2+x+3+x+4....x+24

You can do 25x+300=1000

25x=700

x=28

25x+300=1000
1000-300=25x
700=25x
700/25=x
28=x
x=28

What is the area of the figure?

Answers

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

b1: length of one of the bases  ⇒ 7cmb2: length of the other base     ⇒ 19cmh: length of the height               ⇒ 8 cm

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!

Write the word sentence as an inequality. A number y minus 1/2 is no more than −3/2 .

Answers

Answer:

y - 1/2 ≤ -3/2

Step-by-step explanation:

y minus 1/2

y - 1/2

is no more than   means is less than or equal to  ≤

y - 1/2 ≤ -3/2

If the labor force is 300,000 workers,
but 24,000 are unemployed, what is the
unemployment percentage?
A. 3%
B. 8%
C. 18%
D. 24%

Answers

Answer:

8%

Step-by step explanation:

We are given:

Total workers: 300,000Unemployed workers: 24,000

The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.

Formula:

[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Now, simplify the equation.  The easiest way to simplify the equation is to temporially ignore the "100".

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]

Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S

[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Don't forget to multiply the result by 100 as it was temporaily hidden.

[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]

Let 100 be 100/1. Thus, our equation will be:

[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]

Multiply the numerator with the numerator and the denominator with the denominator.

[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Cancel the "0's" on the L.H.S to make it easier to simplify.

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]

Thus, 8% of the workers are unemployed workers.

WILL GIVE BRAINLIEST!!!!

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?


A. 8 red, 7 green, 7 blue

B. 10 red, 7 green, 5 blue

C. 10 red, 8 green, 4 blue

D. 11 red, 6 green, 5 blue

E. 12 red, 6 green, 4 blue

Answers

Answer:

E. 12 red, 6 green, 4 blue

Step-by-step explanation:

To find the number of colored pencils for each color, we must find ratios.

480 red: 240 green: 160 blue

Then we divide them to the simplest ratios.

We divide all the numbers by 80.

6 red: 3 green: 2 blue

There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.

12 red: 6 green: 4 blue

The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.

Without looking, Carlos pulls out 22 pencils.

The pencils were distributed randomly in the bin.

To find the numbers of pencils of each color:

First, we will find the ratio.

Red : Green : Blue

= 480 : 240 : 160

We will factor out the common factor,

= 12: 6: 4

Therefore, 12 red, 6 green, 4 blue are the pencils of each color.

To learn more about the ratio;

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Find the value of x.
44°
76°
to

Answers

Answer:

120°

Step-by-step explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

Question : -

Find the value of x .

Given : -

Angle 1 = 44°

Angle 2 = 76°

Angle 3 = Not given we can assume it as y°

Angle 4 = x°

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Solution : -

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

44° + 76° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

60° + x° = 180°

x° = 180° - 60°

x° = 120°

Therefore, value of angle x is 120° .

# [tex] \sf{ \bold{Keep \: Learning}}[/tex]

If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?

Answers

Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.

Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.​

Answers

since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.

[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]

[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]

Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.

Answers

3.36/3= 1.12

Cost per unit = cost /units

Solve the inequality: 3 < -5X+2X

Answers

Answer:

Inequality Form:

X< −1

Interval Notation:

(−∞,−1)

Step-by-step explanation:

Answer:

[tex]x < -1[/tex]

Step-by-step explanation:

First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]

Which number is located between 1.2 and 1.4 on the number line

Answers

I’m pretty sure 1.3 is in-between 1.2 and 1.4

2/5 = 1/2x how would i solve this

Answers

[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

Find the product of 3.6 and 0.003

Answers

Answer:

0.0108

Step-by-step explanation:

3.6 multiplied by 0.003

1. First you write down the numbers one on top of the other

0.003

x   3.6

-----------

2. Multiply 6 by all the numbers in 0.003

0.003

x   3.6

-----------

  0018

3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place

0.003

x   3.6

---------------

     0018

+ 00090

---------------

4. Add the numbers you got

0.003

x   3.6

---------------

     0018

+ 00090

---------------

   00108

5. Count the number of decimal points or numbers after the decimal point in both numbers and add them

3.6 = one decimal place

0.003= three decimal places

Three plus one = four

6. Count the total number of decimal places

0010.8 = one decimal place

001.08 = two decimal places

00.108 = three decimal places

0.0108 = four decimal places

What is the slope of a line perpendicular to the line with equation y = 4x + 5?


4


−14

−4

−5

Answers

Answer:

Slope= 4

Step-by-step explanation:

y=mx+b

4x

4= slope

What is the area of this figure? ​

Answers

Answer:

Area=length×width

=12m×15m

=180m

so,the area is 180.

hope it helps!


Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.

Answers

Answer:

Step-by-step explanation:

$8 per hour + average commision $260 per car sold ≥ $1040 per week.

This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.

The possible outcomes for tossing a coin four times are shown below.

If a coin is tossed four times, what is the probability of getting exactly three heads?

A. 1/3

B. 1/2

C. 1/4

D. 1/8

Answers

Step-by-step explanation:

I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Where can parentheses be placed to make 6+2³-4×3 value 500

Answers

~Denki Kaminari here~

6 + 2³ - 4  ×  3 = 500

The parentheses will most likely go before the exponent because that will raise your number up higher.

(6 + 2)³ - 4  ×  3 = 500

(8)³ - 4 × 3 = 500

512 - 12 = 500

500 = 500

So the parentheses will go around the (6 + 2).

hope this helps :D

PLEASE HELP ASAP DUE TOMORROW

Answers

The area of the shaded part of the given figure is 60 square inches'

How to calculate the area of a composite shape.

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

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Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he billed a total of $304.80 for his purchase?

Answers

Answer:

$25.40

Step-by-step explanation:

Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40

Need help answering this

Answers

You just have to substitute 2 into t.

f(t) = 40 + 6 = 46

The answer is 46

1 + a to the power 3
[tex]1 + {a}^{3} [/tex]

Answers

Explanation:

Given that, 1 to the power of 3
Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.
Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

Martin is saving money to buy a new phone that costs $1,000 by selling trees. He is using an app to manage his
sales, but it keeps a fraction of each sale. His net pay is modeled by the function P(x) = x2 + 20x– 196, where x
represents the number of sales. How many sales does Martin need to make to earn $1,000?

Answers

Answer: 26 sales

Step-by-step explanation:

If you plug in 26 you will get exactly $1,000

Martin needs to sale 8 pieces to make it $1000.

How to elaborate the problem ?

Martin has to save $1000.

He is using an app to manage all the sales, but if keeps fraction of every sales.

The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]

How many sales does martin need ?

We have to solve the given quadratic equation.

Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a

⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2

⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2

⇒ x= -10±[tex]\sqrt{296}[/tex]

⇒ x= -10±17.2

We habe to take the maximum value of x. So we neglect the negative sign.

Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.

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