A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 21.09 feet 24.20 feet 37.47 feet 49.34 feet

Answer:

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

Step-by-step explanation:

(3x-4)= x=12. ( 2x-5)= 10. x=10

Answer:

is the 9 seven for five 1233

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −1

y-intercept: (0,0)

x    y

0    1

0  −1

Step-by-step explanation:

Given:

A line passes through (-1, 3) and (5,3).

To find:

The equation of the line.

Solution:

The line passes through (-1, 3) and (5,3). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{3-3}{5-(-1)}(x-(-1))[/tex]

[tex]y-3=\dfrac{0}{5+1}(x+1)[/tex]

[tex]y-3=0[/tex]

Adding 3 on both sides, we get

[tex]y-3+3=0+3[/tex]

[tex]y=3[/tex]

Therefore, the equation of the line is [tex]y=3[/tex].

Answer:

The container can hold 18 gallons

Step-by-step explanation:

Assume the container can hold x gallons

∵ The container is [tex]\frac{2}{3}[/tex]  full with water

∵ It can hold x gallons

→ Multiply [tex]\frac{2}{3}[/tex] by x to find the number of gallons in the container

∴ The number of gallons in the container = [tex]\frac{2}{3}[/tex] x

∵ 4 gallons of water pouring out

∵ It is  [tex]\frac{4}{9}[/tex] full

→ Multiply [tex]\frac{4}{9}[/tex] by x to find the number of gallons left in it

∴ The number of gallons left in the container = [tex]\frac{4}{9}[/tex] x

→ The difference between the numbers of gallons is 4 gallons

∵  [tex]\frac{2}{3}[/tex] x - [tex]\frac{4}{9}[/tex] x = 4

→ Subtract the terms of the left side

∴ [tex]\frac{2}{9}[/tex] x = 4

→ Multiply both sides by 9

∴ 2x = 36

→ Divide both sides by 18

∴ x = 18

∵ x represents the full of the container

∴ The container can hold 18 gallons

Answer:

1/4

Step-by-step explanation:

you can rearrange the problem to be

3/4 - 1/2

then you can convert to common denominators

3/4-2/4 = 1/4

Answer:

[tex]0.00000013=1.3*10^{-7}[/tex]

Step-by-step explanation:

Example of how scientific notation works:

[tex]150=1.50*10^{2}[/tex]

How many zeros are there?

6

How many spaces to make it 1.3?

1

6+1=7

[tex]0.00000013=1.3*10^{-7}[/tex]

Answer:

when x=6

26+x^2-1^3

26+6^2-1^3

26+36-1

61.

so the answer is.61

Answer:

$47.15

Step-by-step explanation:

22.55 divided by 11 is 2.05 so she made $2.05 on each shirt

2.05 x 23 is 47.15

Answer:

21.8°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

5(x+2)=10

Step-by-step explanation:

use the PEMDAS, solve first the one inside the parenthesis and then multiply the sum to 5

Answer:

The answer is A

Step-by-step explanation:

1st step: x(2x^2-x+4)  -5(2x^2-x+4)

2nd step: (2x^3-x^2+4x)  (-10x^2+5x-20)

3rd step: combine like terms 2x^3-11x^2+9x-20

Answer:

90

hope this helps!:)

Step-by-step explanation:

Given:

To find: The dimensions.

Answer:

Formula to find the perimeter of a rectangle = 2 × (Length + Width)

We know that 2X + 2Y = 66. Simplifying it, we get:

2(X + Y) = 66

X + Y = 66/2

X + Y = 33

Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.

Perimeter = 2 × (X + Y)

66 = 2 × 33

It's verified.

Now, we also have the expression representing the length, which is X + 3 = Y.

X + Y = 33

X + 3 = Y

Let's add both expressions.

X + Y + X + 3 = 33 + Y

2X + Y + 3 = 33 + Y

2X = 33 - 3 + Y - Y

2X = 30

X = 30/2

X = 15

Hence, the width [X] is 15.

Substituting this value into the expression representing the length,

15 + 3 = Y

18 = Y

Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.

Hope it helps. :)

Answer:

centi

Step-by-step explanation:

Hey there!

When you see/hear the word “octo-”

(or “-octa”) think of ‘octagon’ and how they have ‘EIGHT SIDES’. So this means that prefix means 8; when you see/hear the word “penta-” think of ‘pentagon’ because it ‘FIVE SIDES’. So means that prefix means 5; When you see/hear the word “milli-” think of ‘one thousandths’ (this comes in handy when you’re working with DECIMALS and SOME MEASUREMENTS); when you see/hear “centi-” think of

centigrade.. you’ll learn about that in measurements as well.. it equals 100

Now that we had to break down the meaning of the prefixes we reached our answer:

The one that has the meaning for hundred is “centi- (option D)” would most likely be your answer

Answer: D. Centi- ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

3636

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{4} x-2[/tex]

Step-by-step explanation:

The line has a positive slope, that much is clear. If we just count from the y-intercept up to the next clear point, we can see that it is 3 up and 4 to the right. That gives us a rise over run of 3 over 4, or [tex]\frac{3}{4}[/tex].

The y-intercept is -2, so that is the latter half of the equation.

Answer:

hiiii i total can help im doing this in school

Step-by-step explanation:

D

Answer:

The first one is already giving to us YYY so

the answer is GGG,YGY,GYG,YYG,GGY,YGG,GYY

Step-by-step explanation:

Answer:

2:9

Step-by-step explanation:

8 adult fish:36 baby fish

To simply both, divide by 4

2 adult fish: 9 baby fish

Answer:

68

Step-by-step explanation:

79 - 11 is 68, so I think 68 is the answer.

Answer:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x =  − 2  −  ln ( 6 )/ ln ( 4 )

Decimal Form:

x = −3.29248125 …

Hope this helps!

Answer:

[tex]9\times 10^7\ \text{grains of sand}[/tex]

Step-by-step explanation:

Given that,

A bricklayer needs to order 6300kg of building sand.

1 grain of this sand weighs [tex]7\times 10^{-5}\ kg[/tex].

We need to find how many grains of sand are there in 6300 kg.

It can be just calculated as follows :

1 grain of sand =  [tex]7\times 10^{-5}\ kg[/tex]

[tex]6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}[/tex]

or

= 90000000  grans of sand

So, 6300 kg is equal to [tex]9\times 10^7\ \text{grains of sand}[/tex].

Answer: The answer to -64 divided by 8 would be 8.