A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answer: 3[tex]\sqrt{2}[/tex] = 4.24 = 4.2

Step-by-step explanation:

d = [tex]\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}[/tex]

= fill in the distance formula

=3[tex]\sqrt{2}[/tex]

Answer:

isn't a fortnight 14?

Step-by-step explanation:

Answer:

805.05333.....

Step-by-step explanation:

To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]

but since 20.7 is not the height then you would need to find it

So imagen a line down the very middle of the pyramid

and connect that with the 20.7in line then connect it again and that makes a triangle.

So there is a formula and it is a²+b²=c²

in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7

a²+5.5²=20.7²   --->   428.49-30.25=a²   --->398.24=a²  --->19.955951.....=a

11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....

Answer:

volume = 805.05 in³

Step-by-step explanation:

Here's my calculations.

first, finding the true height (not the slope length):

using the Pythagorean theorem:

height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24

height = √398.24 = 19.96 in

base = 11 x 11 = 121

volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³

Answer:

A) x > -8

Step-by-step explanation:

-4x < 32

-x < 8

x > -8

Answer:

B. 35 Square Miles

Step-by-step explanation:

Answer:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Step-by-step explanation:

Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.

i think this is what your looking for?!

Answer:

40

Step-by-step explanation:

add 80 and 60

subtract 140 from 180

180-140=40

Answer:

Step-by-step explanation:

Required equation:

Answer:

[tex]g(x)=-2\sqrt[3]x[/tex]

or

[tex]g(x) = -2f(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]x[/tex]

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

We can represent g(x) as:

[tex]g(x) = n * f(x)[/tex]

So, we have:

[tex]g(x) = n * \sqrt[3]x[/tex]

For:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]2 = n * \sqrt[3]{-1}[/tex]

This gives:

[tex]2 = n * -1[/tex]

Solve for n

[tex]n = \frac{2}{-1}[/tex]

[tex]n = -2[/tex]

To confirm this value of n, we make use of:

[tex](x_2,y_2) = (1,-2)[/tex]

So, we have:

[tex]-2 = n * \sqrt[3]1[/tex]

This gives:

[tex]-2 = n * 1[/tex]

Solve for n

[tex]n = \frac{-2}{1}[/tex]

[tex]n = -2[/tex]

Hence:

[tex]g(x) = n * \sqrt[3]x[/tex]

[tex]g(x)=-2\sqrt[3]x[/tex]

or:

[tex]g(x) = -2f(x)[/tex]

Answer:

YOU DONT KNOW HOW TO ROUND SMH

Step-by-step explanation:

LEARN KID LEARN CMON ITS EASY

pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35

The answer in fraction form is in the picture

Answer:

4.84

Step-by-step explanation:

4+2/5+2/5+1/25

Answer:

A.

i believe you are right

Answer:

3) 2p - 4

1) 8 - d

2) (d + 9) - 6

3) 1/2(x + s)

Answer:

65.73

Step-by-step explanation:

use the law of sines

a/Sin A = b /Sin B

36/sin 84 = 33/sin x

sin x = (33(sin 84))/36

x = 65.73

Answer:

The answer is "[tex]40.2^{\circ}[/tex]"

Step-by-step explanation:

Please find the graph file.

Let

[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

[tex]t(5t + 1) -3(5t + 1) = 0[/tex]

Factor out 5t + 1

[tex](t -3)(5t + 1) = 0[/tex]

Split

[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]

Solve for t

[tex]t = 3[/tex] or [tex]5t = -1[/tex]

Time cannot be negative.

So:

[tex]t = 3[/tex]

Answer:

7/37 bc you add all of them up and it's 37 so

Answer:

500 millilitres

Step-by-step explanation:

I hope it will help you

Answer:

Step-by-step explanation:

1 litre = 1000 millilitres

0.5 Litre = 500 milliliters

Answer:

9 sugar cookies

Step-by-step explanation:

Let the number of sugar cookies be x.

If the number of oatmeal cookies was six more than the number of sugar cookies, then oatmeal cookies can be represented by x + 6.

So, we know that Samuel ate half of the oatmeal cookies and 2/3 of the sugar cookies, for a total of 18 cookies. Let's represent this with an equation.

x + x + 6 = 18

2x + 6 = 18

2x = 12

x = 6

So x represents 6. Recall that he ate 2/3 of the sugar cookies, so 2 parts of sugar cookies is 6.

Therefore, we can do this:

(3/2) x 6 = 9 cookies

This is essentially saying, "I want to find 3 parts if 2 parts is 6 cookies."

He ate 9 sugar cookies.

Answer:

x = -6

Step-by-step explanation:

3/2x + 8 = -1

3/2x = -9

x = -9 x 2/3

x = -6

Hope that helps! A Brainliest would be appreciated! :)

<3 Cin

The subtraction is one of the four basic arithmetic operations in mathematics. The operation subtraction is used here to determine the number of students who come to school by bus. The bus travelers are 10.

The operation subtraction represents the process of removing objects from a collection. The minus sign implies the subtraction. We can also describe subtraction as the decreasing or removing physical and abstract quantities.

The subtraction method consists of three parts of numbers, they are minuend, subtrahend and difference. The number in a subtraction sentence from which we subtract another number is the minuend, and after that it is subtrahend and last number is the difference.

Here the total present students = 50

The number of students by car = 20

The number of students by scooter = 10

The number of students by auto = 10

Then the number of students who travel by bus = 50 - ( 20 + 10 + 10) = 10

Thus the number of bus travelers are 10.

To know more about subtraction, visit;

https://brainly.com/question/57005

#SPJ3

Your question is incomplete most probably your full question was:

A servey was conducted of 50 high school students about how they come to school. 20 of them come by car, 10 of them by scooter and 10 of them by auto. How many come by bus?

Answer:

Step-by-step explanation:

B is correct:  We Divide it (the coefficient b) by 2 and square the result.

Answer:

B. Divided it by 2 and square the result.

Step-by-step explanation:

here is your answerrrrrrrrrrr

Answer:

x is 38°

Step-by-step explanation:

180° - 142° = 38°.

Hope this will help❤️

We have to do blue Area- white area, so 32

Answer:b

Step-by-step explanation:

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units