If you place a 37-foot ladder against the top of a 15-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

33.8

Step-by-step explanation:

a²+b²=c²

15²+b²=37²

225+b²=1369

-225     -225

b²=1144

√1144

b=33.8

Answer 2

The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

If you place a 37-foot ladder against the top of a 15-foot building.

Let BC be the distance from the bottom of the ladder to the bottom of the building.

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]

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Related Questions

PLEASE SOMEONE HELP IM SO CLOSE TO BEING DONE FOR THE YEAR
NO LINKS OR FILES

Answers

Answer:

Step-by-step explanation:

The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.

A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?

Answers

Answer:

294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

please show work, thanks ​

Answers

Answer:

4) 1400 [tex]in^3[/tex]

5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]

6) 315 [tex]ft^2[/tex]

Step-by-step explanation:

[tex]4)[/tex]

[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]

[tex]5)[/tex]

[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]

[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]

[tex]6)[/tex]

[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]

[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]

[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]

[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]

3) Find the percent of each number
38% of 50=
27% 300=
60% 75=​

Answers

Answer:19, 81, 45

Step-by-step explanation:

helpppppppppppp plzzzzzzzzzxzx

Answers

Answer:

The answer would be A. :)

Can someone help with this question

Answers

I think its is C beacuse it makes the most sence but D is incorrect
The answer is D since she has 9 rings and 4 are gold the rest is N

In the circle below, AB=CD. Chord AB = 8x and chord CD = 2x + 3. Find
the value of x.

Answers

I think X=3/4 but I’m not 100% sure

Can one of you lovely people help me please ?

Answers

Answer:

the answer is

C. = x=22.82

22.82! Is the correct answer

(~‾▿‾)~

what's the answer ?

[tex] \sqrt{ {4}^{4} \times 0} [/tex]

Answers

Answer:

/~ 4× 4= 4^2= +4

Step-by-step explanation:

I dont have the right lines so ill show you from another example

Answer:

Solution given;

[tex] \sqrt{ {4}^{4} \times 0} [/tex]

[tex] \sqrt { 0} [/tex]=0

type the correct answer in each box. if necessary, use / for the fraction bar(s). If a = 0.6 and b = 0.75, then a•b = ____ and a/b = _____

Answers

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

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12 yd. 3 yd. 9 yd. 6 yd. Find the area of the shape. 39 square yards 56 square yards 72 square yards 106 square yards​

Answers

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

Which of the following statements is true?

Answers

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

Please someone help me!!!!:)

Answers

Answer:

275.4cm

Step-by-step explanation:

A = pi*r^2

r = 9

A = 3.14 * 9^2

A = 3.14 * 81

A = 275.4

Hope this helps!

A rappelling rope used for outdoor programs, rescue and industrial work, can safely support a weight "W" (in pounds) provided, where "d" is the rope's diameter (in inches). Determine the diameter of rope that would be needed to support a weight of at least 5,500 pounds.

Answers

Answer:

D =  ( d * 5500 ) / W

Step-by-step explanation:

Diameter of rope " d "  supports "w" weight

i.e.  d = W

d ( inches ) = W ( pounds )

   ? ( inches ) = 5500 pounds

The Unknown diameter  D ( ? ) = d * 5500 / W

 

Sheldon picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten?

A. 4 8/10 kg.
B. 3 4/5 kg.
C. 3 5/10 kg.
D. 3 8/10. kg.

Answers

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

This comes with no question

Answers

Answer:

It has to be 145 degrees.

Step-by-step explanation:

There would be 2 60's and one 95. 360-95-(60*2)=145.

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off. After 6.25% sales tax, what was the total cost

Answers

Answer:

$32.13

Step-by-step explanation:

IXL

The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Now,

Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

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pls give me a real answer and the correct one if u try to be a bot ill report you

Answers

Answer:

The value of expression 7m - 6 is 60

Step-by-step explanation:

Given expression;

7m - 6

The value of m = 8

Find:

The value of expression 7m - 6

Computation:

in given expression 7m - 6 , 7 and 6 are constant and m is a variable

Given that value of variable m is 8.

So, by putting value of variable m in the given expression.

7m - 6

7(8) - 6

56 - 6

60

The value of expression 7m - 6 is 60

I don’t understand this plz help

Answers

Answer:

2sqrt(5)

Step-by-step explanation:

Using Fourmla of distance between two points

Find the fourth proportional of 5,9,4

Answers

Answer:

let

Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x

5.x=9.4

5x=36

x=36/5

x=7.2

answer

Fine as has a Z-score of 2.23 on his SAT. How did he do compared to the rest of his students?
a) There is not enough information given.
b) he did the same as most other students
c) he did worse than most other students
d) he did better than most other students.

Answers

A since they didn’t tell you what the other students have gotten therefore you can’t complete the data

#2 find the r and h
find the surface area as we

Answers

Answer:

2) 96

3) 121

Step-by-step explanation:

2) 8 x 12 = 96

3) 11 x 11 = 121

Answer:

surface area of the cyclinder=2πr²+2πrh

=(2×3.14×12²)+(2×3.14×12×8)

=904.32+602.88

=1507.2mi²

Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.
1,6,6, 5, 2, 2, 0, 5, 6, 7
What is the median of the data?
O A 2
OB. 4
O c. 5
OD. 6
O E. 7

Answers

The median in this data set is C. 5

write the expanded from of the expression 4(2x-8)

Answers

Answer:

8x - 32

Step-by-step explanation:

the cost of fun for kids magazine for x number of months is shown below

The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.

The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?​

Answers

Answer:

Kidz comic costs the most

Step-by-step explanation:

Given

Family Fun

[tex]C(x) = 1.99x[/tex]

Kidz Comics

[tex]m = 1.85[/tex] --- monthly rate

[tex]b = 10[/tex] --- delivery charge

Required

Which is more expensive

A linear function is represented as:

[tex]f(x) = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex] --- i.e. the base charge

So, for Kidz comic; We have:

[tex]f(x) = mx + b[/tex]

[tex]C(x) = 1.85x + 10[/tex]

To calculate the annual cost, we set x = 12; i.e. 12 months.

So, we have:

[tex]C(x) = 1.99x[/tex] ---- Family Fun

[tex]C(12) = 1.99 * 12[/tex]

[tex]C(12) = 23.88[/tex]

[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic

[tex]C(12) = 1.85*12 + 10[/tex]

[tex]C(12) = 22.2 + 10[/tex]

[tex]C(12) = 32.2[/tex]

By comparison

[tex]32.2 > 23.88[/tex]

Hence, Kidz comic is more expensive

Help wit my math im struggling n ion understand

Answers

Answer:

y<-3/2x+1

Step-by-step explanation:

5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to f(x) =
-3(x - 2)2 + 14?
A. f(x) = -3x2 + 2
B. f(x) -3x² +26
*C. f(x) = -3x2 - 4x + 18
D. f(x) = -3x2 + 12x + 2

Answers

The answer to the problem is C

Which lines are parallel to 8x + 4y = 5? Select all that apply.
A. y = –2x + 10
B. 16x + 8y = 7
C. y = –2x
D. y – 1 = 2(x + 2)

Answers

Answer:

A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

Options A, B, C are all correct

Solve for x: 4(x + 5) = 3(x - 2) -2(x + 2)

I’ll mark brainiest I need an answer ASAP

Answers

Answer:

1: D

2 (but actually 3) B

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:

4(x+5)=3(x-2)-2(x+2)

4x+20=3x-6-2x-4

Next combine like terms: 4x-3x+2x=-20-6-4

                                           3x=-30

                                             x=- 10

What do we call the vertical axis?

Answers

y-axis is the vertical axis on the Cartesian coordinate plane. ... A y-axis is the line on a graph that is drawn from bottom to top. This axis is parallel to which coordinates are measured. The numbers placed on the y-axis are called y-coordinates

Answer:

On the Cartesian coordinate plane, the y-axis is the

vertical axis. A y-axis is a line drawn from bottom to top ona graph. 

This axis runs parallel to the axis along which coordinatesare measured. The numbers on the y-axis are referred to as y-coordinates.

Step-by-step explanation:

-

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