Two window washers, Tori and Nathan, lean a ladder against the side of a building so that Tori can wash a window while Nathan holds the ladder. The top of the ladder reaches the window, which is 12 feet off the ground. The base of the ladder is 5 feet away from the building. How long is the ladder?

Answers

Answer 1

Answer:

13 feet

Step-by-step explanation:

This is a right triangle problem

Use the Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Take the square root of both sides

c = 13


Related Questions

-4(y - 2) = 12
y = ?​

Answers

Answer:

Hello! answer: -1

Hope that helps!

plz help me this for my grade

Answers

Answer:

[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].

Thus, we have the equation:

[tex]V=5\cdot 4\cdot 6[/tex]

Solving, we get:

[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].

Answer:

120

Step-by-step explanation:

length time width time height

6 times 4 times 5

would be you equation the 120 would be your volume  

5 times the sum of 24 and 7

Answers

Answer:

Your answer should be 155!

Step-by-step explanation:

Sum means to add, so 24 + 7 = 31

31 x 5 = 155

I hope this helps!

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.

What is Sum?

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given,

5 times the sum of 24 and 7

Sum is nothing but addition.

When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.

Times means multiplication.

We have to convert 5 times the sum of 24 and 7 to expression.

When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.

5×(24+7)

Firstly we calculate value in parenthesis.

twenty four plus seven is thirty one.

5×31

The product of 5 and 31 is 155.

155

Hence 155 is the answer for 5 times the sum of 24 and 7.

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Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.

16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list

Answers

Answer:

I believe the answer is 64 x 12x

Step-by-step explanation:

16(12x)4 =

16 x 4(12x)

64 x 12x

In the triangle below, what is the length of the side opposite the 60° angle?

A. /3
B. 3/3
C. 6
D. 2/3

Answers

Step-by-step explanation:

[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]

Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58

Answers

Answer:

A is the answer it sounds more likely

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

What is probability?

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

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HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

1080 in^2

Step-by-step explanation:

Answer:

180 in^2

Step-by-step explanation:

A 12" wide by 30" flag has the area  A = (1/2)(base)(height) square inches, or 180 square inches.

Right Triangles

Solve the right triangle shown in the figure
∠C = 90°, BC = 7.50mi, AC = 11.43mi

a. AB = 19.5mi, ∠A = 31.2°, ∠B = 58.8°
b. AB = 16.mi, ∠A = 35.2°, ∠B = 54.8°
c. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
d. No triangle satisfies the given conditions.

Please select the best answer from the choices provided

Answers

Answer:

C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°

Step-by-step explanation:

I calculated it logically

Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm

Answers

Answer:

53.76 cm3

Step-By-Step Explanation

If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)​

Answers

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Please help this is very important to my grade

Answers

Answer:

3, 6, 2.7( The is one I cannot see cuz of glare)

Step-by-step explanation:

The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?​

Answers

Answer:

$8.5 per hours

Step-by-step explanation:

102/12=8.5

119/14=8.5

136/16=8.5

153/18=8.5

Answer:

8.5

Step-by-step explanation:

102/12=8.5

119/14=8.5

136/16=8.5

153/18=8.5

5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Answers

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

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

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

In the figure shown above, all the corners form right angles. What is the area of the figure in square units?

Answers

9514 1404 393

Answer:

  70 square units

Step-by-step explanation:

The overall outline is 15 units wide and 8 units high, for an area of ...

  A = WH

  A = (15 units)(8 units) = 120 units²

__

The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...

  A = (5 units)(10 units) = 50 units²

__

The shaded area is the difference between the overall area and the white space taken out:

  shaded = 120 units² -50 units² = 70 units²

URGENT PLZ HELP

use the graph to write an equation of the line

Answers

y=3/2x
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think

Solve for 44.
4 4 = [?]
510
51
44/42

Answers

Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.

The two opposite inside angles are given as 51 and 51

Angle 3 = 51 + 51 = 102 degrees.

Answer:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

thus our equation is

[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

cancel 102° from both sides:

[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]

By straight line theorem we acquire:

[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]

substitute:

[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]

cancel 72° from both sides:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

hence, the measure of [tex]\angle 4[/tex] is 108°

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Answers

Okay thank youu I needed this


The area of a rectangle is 99 ft”, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle

Answers

Answer: Width = 5.5ft

Length = 18ft

Step-by-step explanation:

Let the width of the rectangle be x

Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:

= (2 × x) + 7 = 2x + 7.

Therefore, length × width = area

x × (2x + 7) = 99

2x² + 7x = 99

2x² + 7x - 99 = 0

2x² + 18x - 11x - 99 = 0

2x(x + 9) - 11(x + 9) = 0

(2x - 11) = 0

2x = 0 + 11

2x = 11

x = 11/2

x = 5.5

The width is 5.5ft

Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft

If each collectible coin weighs 2.5 grams, how much do 3 collectible coins weigh all together?
A) 9.5 grams
B) 8.5 grams
7.5 grams
D 6.5 grams

Answers

Answer:

Hello! answer: 7.5 grams

Step-by-step explanation:

To find the answer we simply just do 2.5 × 3 so... 2.5 × 3 = 7.5 so 7.5 grams is the answer! Hope that helps!

51
13
14
a) How many words (with or without any meaning) can be formed by arranging the
letters in the word MEDITERRANEAN?
How many words ?

Answers

Answer:

may be 13 I hope this is the right answer

Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.

Х
?
Recheck
Try again

Answers

Answer:

f(x) = -4x² - 24x - 38

Step-by-step explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38

Rewrite log44=1 in exponential form.

Answers

Answer:

The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].

Step-by-step explanation:

After some research in the web, we find that correct statement is:

Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.

We obtain its exponential form by using the definition of logarithm:

[tex]4^{\log_{4} 4} = 4^{1}[/tex]

[tex]4 = 4^{1}[/tex]

A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?

Answers

the 6 would be the thousandth

Answer:

It is in the thousandths place

Step-by-step explanation:

The first number after the decimal is the tenths place. 0.006

The second number after the decimal is the hundredths place. 0.006

The third number after the decimal is the thousandths place. 0,006

Hope this helps!

A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.

What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?

a. 83
b. 213
c. 185.4
d. 205.

Answers

Answer:

D) 205

Step-by-step explanation:

Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)

Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3

Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100

So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)

= 83 - 10 + 24 + 110 = 207  

The closest to this calculated estimated figure ie 207, is 205.

If a =5 and b=3 what is the value of the 2a-3b+3a

Answers

Answer:

If a = 5 and b = 3, then that means 2a - 3b + 3a = 16

Step-by-step explanation:

2a - 3b + 3a

(2×5) - (3×3) + (3×5)

10 - 9 + 15 = 16

xy^-3 is equivalent to ______

Answers

Answer:

xy3 your welcome tell me if I got it right ✅

Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.

Answers

Answer:

he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars

Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.

Answers

Answer:

E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.

Step-by-step explanation:

The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.

what is 75 as a fraction of 125? give your answer in its simplest form.​

Answers

75 as a fraction of 125 would be 75/125

Now Lets simplify

75/25=3

125/25=5

We get 3/5

We can not reduce 3/5 anymore, so the answer is 3/5

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let 75 be x fraction of 125. Therefore, we can write the statement as,

x × 125 = 75

x = 75/125

x = 3 /5

Hence, 75 is 3/5 fraction of 125.

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