Answer:
probably bout like 4 dollars
Step-by-step explanation:
Dog in a Ditch
Oscar and Rasheed are identical twins. They are both 6 feet tall. They are on opposite sides of
a ditch that is 30 feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away
from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line
of sight makes a 75° angle below the horizontal. When Rasheed looks at Earl, his line of sight
makes a 40° angle below horizontal. Earl has walked % of the way across the ditch. How deep
is the ditch?
The ditch is 14.54 feet deep.
What is application of Trigonometry?Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.
As, both brother have height of 6 feet.
We will use the concept of application of trigonometry to find the depth of ditch.
The explanation is attached below
Now, by solving both equations we get
0.8391y= (2+√3)(30-y)
4.5711y=111.96
y= 24.49 feet.
Now,
x= 14.54 feet.
Hence, the depth of ditch is 14.54 feet.
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what is 52.56 rounded to nearest hundred
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
Suppose that in a random sample of 240 smartphone users, 160 used an iPhone. Conduct a hypothesis test at significance level 0.02 to test the claim that more than 58% of smartphone users use an iPhone.
State the null hypothesis, the alternative hypothesis, the test statistic, the (P-value or traditional method), and formulate your conclusion.
Null hypothesis: ____________________
Alternative hypothesis: __________________
Test Statistic:
p-value value: ________
Conclusion: __________________________________
Answer:
you will get the correct answer
Step-by-step explanation:
I need points ASAP!!
a juggler needs both rings and bowling pins no more than 12 of these no less than 5 rings
let x represent the rings and y the pins
The inequality that represent this scenario is x + y ≤ 12 and y > 5
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the rings and y represent the pin
There were no more than 12 of these, hence:
x + y ≤ 12
and
y > 5
The inequality that represent this scenario is x + y ≤ 12 and y > 5
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Answer:
there right i took the test
Step-by-step explanation:
cant add more because they covered it all
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answer:
The highest point will be (10, 75)
Step-by-step explanation:
I need help on this question
Step-by-step explanation:
FIFO means "first in - first out". so, it is airways the oldest in the inventory that is sold. that means the newest or youngest items in the inventory remain.
the end inventory shows 70 units.
that means, all the November units (64) plus 6 of June are still there.
a.
the cost of the ending inventory is
576 + 6×8 = 576 + 48 = $624
b.
the cost of goods sold is then
1727 - 624 = $1,103
control :
196 + 483 + (59-6)×8 = 679 + 53×8 = 679 + 424 =
= $1,103
correct.
Which equation implies that a and b are independent events? a. b. c. d. e.
Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If A and B are independent events, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Then, at the conditional formula:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
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Answer:
P(B/A)=(A)
Step-by-step explanation:
trust me
Find the surface area of the triangular prism. Be sure to include the correct unit in your answer.
Answer:
174 CM²
Step-by-step explanation:
First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)
We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24
There are 2 triangles therefore we get 2*24 which is 48 CM²
Now we calculate the area of the rectangles (7·10=70, 8·7=56)
Finally we add up all the numbers (70+56+48=174 CM²)
Therefore the surface area of the triangular prism is 174 CM², respectively.
23. Solve using the principles together. Don't forget to check.
7y - (4y - 14) = 23
---Distribute the negative sign into the terms in the parentheses
7y - 4y + 14 = 23
---Combine like terms
3y + 14 = 23
---Subtract 14 from both sides
3y = 9
---Divide both sides by 3
y = 3
Answer: y = 3
Answer Choice: A, 3
Hope this helps!
Answer:
A. The solution is y = 3.
Step-by-step explanation:
Given
7y - (4y - 14) = 23Distribute the value to the terms in parentheses.
7y - (4y - 14) = 237y - 4y + 14 = 23Simplify like terms and subtract 14 from each side.
3y + 14 - 14 = 23 - 143y = 9Divide by 3 on each side.
3y/3 = 9/3y = 3A. The solution is y = 3.
A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% an hour, how long will it take for half of the caffeine to be eliminated from the body?
Answer: 5 hours
Step-by-step explanation:
If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.
Find the area and the area of the figure.
Answer:
352
Step-by-step explanation:
sssplit the shapes and then do regular formula
a = lh
Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 times a number is at least 8. the sum of 2.1 and –1.2 times a number is no more than 8. the sum of 2.1 and –1.2 times a number is a maximum of 8. the sum of 2.1 and –1.2 times a number is greater than or equal to 8. the sum of 2.1 and –1.2 times a number is a minimum of 8.
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
Inequality functionsInequality are expressions not separated by an equal sign, Given the inequality;
2.1 + (-1.2x) ≥ 8
The sign ≥ means greater than or equal to
The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
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Answer:
The 1st, 4th, and 5th
Step-by-step explanation:
What is the surface area of the right cone below?
12
A. 123 sq. units
B. 141 sq. units
C. 64 sq. units
D. 143 sq. units
3-
The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
Calculating surface area of a coneFrom the question, we are to determine the surface area of the given right cone
The total surface area of a cone can be calculated by using the formula,
TSA = πrl + πr²
Where TSA is the total surface area
r is the radius
and l is the slant height
From the given information,
r = 3
l = 12
Putting the parameters into the formula, we get
TSA = (π×3×12) + (π ×3²)
TSA = 36π + 9π
TSA = 45π sq. units
TSA = 141.37 sq. units
TSA ≅ 141 sq. units
Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
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Find the values of x and y from the given equal ordered pair (2x, 3y) = (32,81)
Answer:
here,comparing the corresponding elements,
2x = 32 3y = 81
or x = 32/2= 16 or y = 81/3 = 27
x = 16
y = 27
i hope my answer is helpful to you and please mark me as brainliest
Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.
I accidentally deleted the thing that said answer but the answer is 170.7
Step-by-step explanation:
You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.
25. Write interval notation for the set
In interval notation, square brackets indicate that a function can take on that value (or uses a less/greater than or equal to sign). Parenthesis indicate that a function cannot take on that value (or uses a less/greater than sign).
In the case of the given set, both inequality signs are less/greater than or equal to. This indicates to us that we will use brackets in both instances because the set can be equal to -2 and 2.
Answer: [-2,2]
Answer Choice: D
Hope this helps!
give answer in simplest form with working out pls
Answer:
5 x 5+3/5= 25+3/5=28/5÷8/3
28/5 x8/3= 224/15 =14.93
1. SSS
2. SAS
3. SSA
4.ASA
5. AAA
6. AAS
7. HL
8. Not Enough Information
In a survey of adults, 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly. What is the conditional probability that an adult who lifts weights regularly, also runs regularly?
The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Let's suppose P(A) is the probability of adults who lift weights regularly.
P(A) = 18% = 0.18
Similarly,
P(B) = 32% = 0.32
P(A∩B) = 0.07
We know:
[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]
P(A|B) = 0.219 or
P(A|B) = 21.9%
Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
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if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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Swimming Pool On a certain hot summer's day, 366 people used the public swimming pool. The
daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $767.50.
How many children and how many adults swam at the public pool that day? There were
children at the public pool.
Answer:
c=__ and a=__
Step-by-step explanation:
767.50=1.25(c)+2.25(a).
366=c+a
normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)
HELP!!!!!!!!!! What does each line on the protractor stand for?
Answer:
degrees like in angles. from 0 to 180
nwcggov
A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
For the complex number z=5sqrt3/4 - 5/4i, what is the polar form?
Answer:
[tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]
Step-by-step explanation:
A complex number in polar form is [tex]z=r(\cos\theta+i\sin\theta)[/tex] where [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)[/tex], thus:
[tex]r=\sqrt{x^2+y^2}=\sqrt{(\frac{5\sqrt{3}}{4})^2+(-\frac{5}{4})^2}=\sqrt{\frac{75}{16}+\frac{25}{16}}=\sqrt{\frac{100}{16}}=\frac{10}{4}=\frac{5}{2}[/tex]
[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)=\tan^{-1}\biggr(\frac{-\frac{5}{4}}{\frac{5\sqrt{3}}{4}}\biggr)=\tan^{-1}\biggr(-\frac{\sqrt{3}}{3}\biggr)=\frac{11\pi}{6}[/tex]
Thus, the complex number in polar form is [tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]
4. explain why cos (-3pi/4) = cos (5pi/4)
Step-by-step explanation:
Rearrange the equations to solve.
cos(-3 • pi) = -1
cos((-3pi) / 4 radians) = -0.707
cos(5 • pi) = -1
cos((5pi) / 4 radians) = -0.707
They are the same because when multiplied, they are the same value, and always will be that way. They also have the same identity if you simplify and compare the results of that equation.
The value of cos (-3π/4) and the value of cos (5π/4) are same.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
We know that,
cos (-3π/4) = cos (3π/4)
Now,
cos (3π/4) = cos (π + π/4)
And,
cos (5π/4) = cos (π - π/4)
Now, we know that,
cos (π + x) = -cos (x) and cos (π - x) = -cos (x)
So the value of cos (π + π/4) = -cos( π/4) and cos (π - π/4) = -cos( π/4)
Hence cos (3π/4) = cos (5π/4) = -cos( π/4)
Hence both the values are same.
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Three friends just out of culinary school have applied for a loan to open a new restaurant in the heart of New York City. The bank gives them a loan in the amount of 1.3 million dollars. The three friends estimate that their business will be able to make a profit of approximately $0.7 million per year. They keep track of their debts, profits, and overall financial status on a balance sheet. They enter the debt as a negative value and all profits as positive values. Define a unit for the amount of time since the company began. Enter a variable for the amount of time since the company began and use this variable to write an expression for the expected financial status. 1. What was the financial status of the company when it began? 2. If the estimates were correct, how many years was it before the financial status of the company was 14.8 million dollars?
Answer:
The answer is 0.3 million per year
Step-by-step explanation:
ok
1. Which is a set of collinear points? (1 point)
J, H, I
L, H, J
J, G, L
L, K, H
Using half angle identities, find an EXACT expression for sin(7π/12).
Answer:
±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]
Step-by-step explanation:
We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] = ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].
Hope this helped! :)
I will be forever in your debt, ( and a brainiest) if you help me
Answer:
Step-by-step explanation:
12P3 = 12! / (12-3)!
= 12*11*10
= 1320.
8C7 = 8!/7! *(8-7)!
= 8.
Which of the following are roots of the polynomial function? Check all that apply. F(x) = x3 - 5x2 - 13x - 7
Answer:
Write properties of function:
x intercept/zero: [tex]x_{1} =-1;x_{2} =7[/tex]
Step-by-step explanation:
x² - 6x - 7 = x² - 7x + x - 7
⇒ x(x - 7) + 1(x - 7)
⇒ (x + 1) (x - 7)
Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
[tex]~~~~~~~~x^3 -5x^2 -13x -7=0\\\\\implies x^3 +x^2 -6x^2 -6x-7x-7=0\\\\\implies x^2(x+1) -6x(x+1) -7(x+1)=0\\\\\implies (x+1)(x^2 -6x -7) = 0\\\\\implies (x+1)(x^2 +x -7x-7)=0\\\\\implies (x+1) [x(x+1) -7(x+1)]=0\\\\\implies (x+1)(x+1)(x-7) = 0\\\\\implies (x+1)^2 (x-7) = 0\\\\\implies x = -1,~ x = 7\\\\\text{Hence, the roots are}~ -1~ \text{and}~ 7[/tex]
