Mathematics College

ben positions his ladder against a wall so that the top of the ladder is 15 feet above the ground. about how long is his ladder?
A. 16.2 feet
B. 18.6 feet
C. 10.5 feet
D. 21 feet

Ben Positions His Ladder Against A Wall So That The Top Of The Ladder Is 15 Feet Above The Ground. About

Answers

Answer 1

Answer: 16.2 ft

Step-by-step explanation:

Using the Pythagorean theorem, if we let the length of the ladder be x,

[tex]6^{2}+15^{2}=x^{2}\\\\261=x^{2}\\\\x=\sqrt{261} \approx \boxed{16.2 \text{ ft}}[/tex]

Related Questions

please help asap 20 points
Which properties describe a RECTANGULAR PRISM?

A) 4 faces, 6 vertices, 8 edges

B) 4 faces, 8 vertices, 12 edges

C) 6 faces, 8 vertices, 12 edges

D) 6 faces, 6 vertices, 8 edges​

Answers

Answer:

C) 6 faces, 8 vertices, 12 edges

Step-by-step explanation:

6 faces: base and top face (2) and side faces (4)

8 vertices: 4 on the top, 4 on the bottom

12 edges: 4 on the top, 4 on the bottom, 4 on the sides

Answer:

I'm pretty sure the answer is C

Rocky pays a flat rate of $5 per month plus $0.10 per minute for
his long-distance phone plan. He wants his total monthly bill to be
less than $20.


Need Help

Answers

For his total monthly bill to be under a twenty dollars he could make a 149 calls
20-5=15
15/.10=150
150-1=149
15-.10=14.9
14.9+5=19.9
So the maximum number of calls he can make is 149 a month

A flagpole casts a shadow 3.5 meters long. Anita is standing near the pole. Her shadow is 0.75 meters long. Anita’s height is 1.5 meters. How tall is the flagpole?

Answers

The flagpole is 7m high

The heights and the shadows are in the same ratio because the sun is shining from the same angle, so the triangles formed are similar.
Notice that Anita's height is twice as long as her shadow, so the height of the flagpole will be
2x3.5=7m


The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km

Mark the position of the fishing boat F with a cross

Answers

Answer:

a) 35km

b) 070 degrees

Step-by-step explanation:

The full marks look at the things that qu (c) did

like this image

what is the name of the polynomial 7x+1 ?

Answers

Answer:

binomial

Step-by-step explanation:

y - X=-5
y = 2x2-3x-5
PLEASE HELP
(use substitution)

Answers

Answer:

x=1 y=-4

Step-by-step explanation:

quick answer please!!​

Answers

Answer:

I think the last one is correct

the last one is the correct answer

-3(2d)+ (-5e +6) + (3d-8) I'm standard form

Answers

Answer:

−3d−5e−2

Step-by-step explanation:

PLEASR HELP ASAP PRETTY EASY QUESTION JUST STUCK

Answers

Answer:

m1 is 36º and m2 is 54º

Step-by-step explanation:

So this looks like a 90º angle, just split up in two different other angles. This angle altogether is 90º.

So let's make an equation.

(x+18) + 3x = 90

Now just solve for x, you can get rid of the parenthesis.

x + 18 + 3x = 90

Combine the like terms first --

x + 3x = 4x

Now it is 18 + 4x = 90

Now to isolate 4x you have to subtract 18, so do it on both sides. 18-18=0 90-18= 72

Now the equation is 4x = 72

Now to isolate x you do opposite operation and divide 4x/4 and 72/4 = 18

So, x equals 18. Now you know what x is, you have to find out what m1 and m2 is. Replace x with 18.

m1-- 18 + 18 = 36

m2-- 3(18)= 54

So, m1 is 36º and m2 is 54º

Hope this helps!!

-Ketifa

M1 36 and m2 is 56 I believe

Needing help with problem 1..

Answers

w=6. Hope this helps!!

Simplify (3/5x-5)(3/5x+5)

Answers

Answer:

9/25x^2 -25

Step-by-step explanation:

Can you plz help right answer plz

Answers

Answer:

4.8 inches

Step-by-step explanation:

hey douglas you want to divide 240 by 50 and you’d get 4.8 inches

4) Ellen deposited $2,500 into a savings account
that earns 5% interest per year. Her friend's
bank offers a 6 1/2% annual interest rate. How
much more money would Ellen's money have
earned in one year if she had deposited her
money at her friend's bank?
A) $12.50
B) $32.50
C) $16.25
D) $37.50

Answers

Answer:

c

Step-by-step explanation:

can yall help me please thanks you.

​

Answers

Answer:

5/2

Step-by-step explanation:

1/2 + 6/2 + 5/2 = 12/2 or 6

Answer:

5/2

Step-by-step explanation:

1/2+6/2= 5/2

12/2=6

1/2+6/2+5/2= 6

The best fruit punch requires 2/5 cup of juice concrete to 3/7 cups of water. To maintain the same taste, how many cups of water should be used for every cup of juice concentrate?
a. 6/35
b. 14/15
c. 29/35
d. 15/14
​

Answers

Answer:

D) 15/14

Step-by-step explanation:

Divide 3/7 by 2/5

Answer is D) I hope this helped :)

2/8 of 24=
2/8 times 24=

Answers

Answer:

2/8 of 24 is 6

2/8 times 24 is 6 also

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7.

Answers

Answer:

Answer: The equation of the parabola is (x+5)^2=-24(y-1)(x+5)

2

=−24(y−1) .

Please show work will give alot of points

Answers

1. F=ma
F = (2500)(4.8)
F = 12,000 N
2. a = F/m
a = 250/40
a = 6.25m/s^2
3. m = F/a
m = 50/1.2
m ≈ 41.67 kg
4. Speed = Distance covered/time
= 2300/4.25*
≈ 541.18 mph
*15 minutes is 0.25 hours (15 times 4 = 60)

5. same formula above
250/45 ≈ 5.56 km/min

remember these formula triangles for the future :)

If 3 cans of orange juice cost $2.15, what will 9 cans cost?​

Answers

Answer: $6.45

Step-by-step explanation:

Take the total cost of 3 cans of orange juice

$2.15

Now multiply $2.15 by 3

$2.15x3

You will get

$6.45

Answer:

3 : $2.15

9 : ? (more)

9/3 × $2.15 = $6.45

What are all of the zeros in this equation?

Answers

x³ - 2x² + x = 0

x(x² - 2x + 1) = 0

x(x - 1)² = 0

x = 0 or x - 1 = 0

x = 0 or x = 1

-14.7 = w/5 - 2.2 what is w

Answers

Answer:

w=−62.5

Step-by-step explanation:

Answer: w=-62.5
Explanation:
-14.7 = w/5 - 2.2
Add 2.2 to both sides, so -14.7 + 2.2 = w/5 - 2.2 + 2.2.
Simplify, so -12.5 = w/5.
Multiply all terms by the same value to eliminate fraction denominators, so 5( -12.5) = 5(w/5).
Cancel multiplied terms that are in the denominator, so 5(-12.5) = w.
Multiply the numbers, so -62.5 = w.
Final answer is w = -62.5

A king size candy bars costs $1 with each candy bar having 1,500 calories. If you bought 6 candy bars and took 2 days eating them (eating the same amount each day) how many calories would you consume a day?

Answers

Answer:

4,500 calories a day

Step-by-step explanation:

If you ate the same amount each day, that means you would eat 3 a day, since 6 divided by 2 is 3.

Find how many calories you would eat each day by multiplying 3 by 1,500

3(1,500)

= 4500

So, you would eat 4,500 calories a day

12 week as a percent of 1 year ​

Answers

Answer:

91/365 x 100 =24.93%

Step-by-step explanation:

3 weeks - 91 days

1 year - 365 days

Multiply the fraction with 100 then u get the result.

Ans - 91/365 x 100 =24.93%

Answer:

24.93%

Step-by-step explanation:

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5.

Answers

Answer:

It would be subtract the product of 2 and 4 from the product of 5 and 3, then add 5 because it’s parenthesis then you would multiply/devide then add/subtract whatever comes first

Step-by-step explanation:

5x3 - (2x4) + 5

5x3 - 8 + 5

15 - 8 + 5

7 + 5

12

(Hice los cálculos aquí en caso de que lo necesitaras)

Please Help Me Someone...

Answers

Answer:

B. ( im sorry if its wrong, i just can't see the picture clearly )

Holly wants to make a frame for a painting. The painting is square and has an area of 225 square inches. a. Write an equation to represent the area of the painting, using s for side length. Then, solve the equation for s. b. The framing material costs $1.35 per inch. How much will she spend?

Answers

Answer:

a) area = side²

225 in² = side²

side = √225 = 15 inches

b) 15 inches per side x 4 sides x $1.35 per inch = $81.00

Step-by-step explanation:

19.8.EE.6 Find the missing RISE given the similar triangles below:*
8.
14
4

Answers

Answer:

7

Step-by-step explanation:

Given that these triangles are similar, their sides are in ratio. Let x denote the missing RISE.

Top triangle : bottom triangle

14/8 = x/4

1.75 = x/4

x=7

Find the value of X

Answers

Answer:

Step-by-step explanation:

8/10 = x-1 / x+2

4/5 = x-1 / x+2

4(x+2) = 5(x-1)

4x + 8 = 5x -5

13  = x

there you go :)

Martin’s running ability is measured by this proportion: StartFraction 1 over 7 EndFraction = StartFraction 3 over 21 EndFraction Use the proportion to identify the values of the variables that complete the rate table

Answers

Answer:

A=49

B=10

C=105

Step-by-step explanation:

Hope this helps :D !!

Answer:

I am doing edg and A=49 B=10 and C =105 i guessed and i got them correct hope this helps

Step-by-step explanation:

Brain plants trees. He uses 3 parts fertilizer to plant 5 parts to soil to fill the hole around each tree.If Brain uses a total of 80 gallons of fertilizer and soil how much of the 80 gallons is fertilizer?

Answers

Answer:

Step-by-step explanation:jj

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