Mathematics College

If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot

Answers

Answer 1

Answer:

29.7 ft tall

Step-by-step explanation:

Answer 2

29.75ft. tall is the building.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, we have,

from the figure , we get,

Hypotenuse = 37 ft.

Base= 22 ft.

Let, the building = height = x ft.

Now , by Pythagorean theorem, we have,

x=√37²-22²

=√885

=29.75

Hence, 29.75ft. tall is the building.

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Related Questions

A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?

A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)

Answers

I think the answer is A. Because, 32 * 4, you would have to find the answer (A) so 32 * 4 = A.

The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?

Answers

Given:

A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=Bh[/tex]

Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.

Answer:

120 pi cubic units

Step-by-step explanation:

PLEASE HELP PLEASE (dont do links)

Answers

Answer:

-2(0)²+24(0)-54

= -54

Answer:

I think its C

Step-by-step explanation:

y intercepts (0,-54)

Za and Zb are
complementary angles. Za measures 59º.
What is the measure of Zb?

Answers

Complementary angles are two angles whose sum adds up to 90 degrees
Za + Zb = 90
You know Za measures 59
59 + Zb = 90

Solution: Zb is 31 degrees

Answer:

Zb = 31

Step-by-step explanation:

Complementary angles mean that the angles add up to 90 so:

Za + Zb = 90

59 + Zb = 90

Zb = 90 - 59

Zb = 31

Tell whether each number is rational or irrational.
0.121121112..

Answers

Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.

0.121121112.. is an irrational number but not rational.

What is Number system?

A number system is defined as a system of writing to express numbers.

0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.

We can see that 0.121121112... is not a terminating decimal because it goes on forever.

Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.

Therefore, we can conclude that 0.121121112... is an irrational number.

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Ile czystego alkoholu znajduje się we krwii

Answers

Answer:

100 ml

Step-by-step explanation:

please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?

Answers

Answer:

You'd want to divide.

Step-by-step explanation:

Let's say you got a 9/10 on a test.

You'd do 9 divided by 100 and multiply it by 10 to get 90%

That is how you solve a percentage problem

FORMAT IN LESS DETAILED EXPLANATION:

9/100x10=90%

Nine divided by one-hundred times ten equals ninety percent

HELP ASAP!!! I’m confused and need help guys!!! Thanks!!

Answers

Answer:

Triangle 2

Step-by-step explanation:

5, 12, 13

Use the Pythagorean Theorem

a^2 + b^2 = c^2

a = 5

b = 12

c = 13

25 + 144 = 169

a and b are side lengths

c is the hypotenuse

The theorem states that the square of the side lengths of a right triangle added together equals the square of the hypotenuse

Answer:

B is the right triangle because the sum of the square of each of the two shortest sides will equal the square of the longest side.

Step-by-step explanation:

Pythagorean Theorem says if a triangle is a right triangle with side lengths a, b, and c, then a^2 + b^2 = c^2 where c is the length of the longest side.

So, A. 16^2= 7^2 + 12^2 256 does not = 193 NOT a right triangle

B. 13^2= 5^2 + 12^2 169 = 169 Yes this is a right triangle

C. 9^2= 4^2 + 5^2 81 does not = 41 NOT a right triangle

D. 19^2= 8^2 + 15^2 361 does not = 289 NOT a right triangle

Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.

Required:
Develop a table showing the depreciation.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price= $47,000

Salvage value= $2,900

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1 8820 8820 38180

2 8820 17640 29360

3 8820 26460 20540

4 8820 35280 11720

5 8820 44100 2900

Can someone pleaseeee help me

Answers

Answer:

a). Common difference = 4

b). [tex]T_n=4n+3[/tex]

c). 51st term = 207

Step-by-step explanation:

Given arithmetic sequence is,

7, 11, 15, 19......

a). Common difference = Second term - First term

= 11 - 7

= 4

b). nth term of an arithmetic sequence is given by,

[tex]T_n=a+(n-1)d[/tex]

Here, n = number of term

a = First term

d = common difference

By substituting the values in the given formula,

[tex]T_n=7+(n-1)4[/tex]

[tex]T_n=4n+3[/tex]

c). 51st term of the sequence will be,

[tex]T_{51}=7+(51-1)4[/tex]

= 7 + 200

= 207

evaluate the math problem

Answers

Answer:

Step-by-step explanation:

square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.

Help ASAP 6x - 3(2 – 3x)

Answers

Answer:

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

The correct answer is 15x-6

Can you help me with this please??

Answers

Answer:

Step-by-step explanation:

.8 is the largest

In the troposphere, temperature as altitude increases.

Answers

Answer:

Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases

Step-by-step explanation:

Helppppp pleaseeeeeeee

Answers

Answer:

74 cm squared

Step-by-step explanation:

because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74

74 cm

The explanation is:

PLA ANWSERRR ITS EASY BUT PLS SHOW WORKKKK

Answers

Answer:

200 lbs

Step-by-step explanation:

Divide the total cost of the two books which is 50 by the current price for aluminum which is 0.25.

50/0.25=200

200 lbs yuhhhhhhhhhhh

A toy has been marked up by 75%. The tag lists the price as $63. Find the wholesale price.

Answers

Answer:

Solve this like you would for an Algebra problem :)

[tex]3n + 1.4n = 8.8\\4.4n = 8.8\\n = 2[/tex]

Answer:

n = 2

Step-by-step explanation:

3n + 1.4n = 8.8

4.4n = 8.8

n = 8.8 / 4.4

n = 2

GIVE BRAINLIEST!!!!

hope this helped,

-cheesetoasty

In the triangle below,
y = [ ? ) cm. Round to the
nearest tenth.
15 cm
х
35
90°
y
Enter

Answers

Answer:
y ≈ 12.3
Good luck

The volume of a cylinder of radius 14cm is 210cm”, what is the
curved and total surface area of the cylinder.

Answers

5km

Step-by-step explanation:

The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.

The volume of a cylinder of radius 14cm is 210cm².
curved and total surface area to be determined.

What is a cylinder?

The cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.

Here, Volume of cylinder(V) = 210 cm²

V=πr2h

h = V/πr2

h = 210/π*14²

h = 0.34105

Area of curved surface = 2πr*h
= 2*3.14*14*0.34
= 30.772 cm²

The total surface area of the cylinder,
A = 2πrh+2πr²
A = 2*π*14*0.34+2*π·*14²
A = 1261.412 cm²

Thus, The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.

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Write 3 1/9 as an improper fraction.

Answers

The answer is 319. 3 1/19 is = to 319

The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].

When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.

The given fraction is:

[tex]3\dfrac{1}{9}[/tex]

To convert this fraction into an improper fraction,

Multiply 3 with 9 then add it to the numerator,

[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]

Therefore,

[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]

Hence,

The improper fraction of [tex]3\dfrac{1}{9}[/tex] is [tex]\dfrac{28}{9}[/tex].

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5days a week 4 hours a day at $10.00 a day =?

Answers

Answer : $200 a week

Please explain step by step.

Answers

Answer:

Step-by-step explanation:

If you at the graph it shows that the dots in bettwen Y side (left side)

so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20

What is the value of y in the triangle ?

Answers

Answer:

Step-by-step explanation:

hope it helps

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