A carpenter leans a 20-foot ladder against a building so that an angle of 60° is formed between the ladder and the ground. How many feet away from the
building is the bottom of the ladder?
O 10/3ft
O 20 ft
O 20V2 ft
O 10 ft

Answer:0

Step-by-step explanation:

Simplifying

2x + -1x + 7 = x + 3 + 4

Reorder the terms:

7 + 2x + -1x = x + 3 + 4

Combine like terms: 2x + -1x = 1x

7 + 1x = x + 3 + 4

Reorder the terms:

7 + 1x = 3 + 4 + x

Combine like terms: 3 + 4 = 7

7 + 1x = 7 + x

Add '-7' to each side of the equation.

7 + -7 + 1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

0 + 1x = 7 + -7 + x

1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

1x = 0 + x

1x = x

Solving

1x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0

0 = x + -1x

Combine like terms: x + -1x = 0

0 = 0

Simplifying

0 = 0

The solution to this equation could not be determined.

Answer:

3+x sqrt 7 -13 is a radical equation.

The value of radical equation is,

⇒ 7√x = 14

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

All the equations are,

⇒ x +√5 = 12

⇒ x² = 16

⇒ 3 + x√7 = 13

⇒ 7√x = 14

Since, A radical equation is an equation with at least one variable put on a radical form.

In this question, there is only one kind of variable which is x.

Then, you need to find the equation where x is in the radical form.

Hence, The radical form can be expressed with square root symbol.

Therefore, The option with √x would be only,

⇒ 7√x = 14

Thus, The value of radical equation is,

⇒ 7√x = 14

Learn more about the mathematical expression visit:

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Answer:

I think its b plz don't get mad I am not so sure

Answer:

Step-by-step explanation:

A. is 65

B. is 78

C. is 37

Answer:

Angle (A) : 65 degree

Angle (B) : 78 degree

Answer:

13.1666666666666.....and so on the 6 repeating forever. So it is a repeating decimal.

Step-by-step expl

Answer:

Step-by-step

Monthly Payment $1,088.41

Total Interest Paid $1,121.77

Total Paid $26,121.77

Mark  brainliest if this answer is correct please

Answer:

16.896

Step-by-step explanation:

Answer:

16.896

Step-by-step explanation:

Answer:14

Step-by-step explanation:0.35 times 14 equals 4.9

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6+3=9

6*3=18

18-9=9

Answer:

86.14 in.²

Step-by-step explanation:

Area of the composite figure = area of semicircle + area of rectangle + area of triangle

= (½πr²) + (L*W) + (½bh)

Where,

r = ½*6 = 3 in.

L = 8 in.

W = 6 in.

b = 16 - 8 = 8 in.

h = 6 in.

Plug in the values and solve

Area of composite figure = (½*π*3²) + (8*6) + (½*8*6)

= 14.14 + 48 + 24

= 86.14 in.²

Answer:

11

Step-by-step explanation:

Do kcf (keep,change,flip)

First, covert 2 3/4 into an improper fraction

Then after you do that you get 11/4

so you do the equation 11/4 ÷ 1/4

when you do kcf it would be 11/4 × 4/1=

11/4×4/1=44/4 simplify divide both by 4 = 11

Answer:

perimeter ≅ 29.1 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/16

You can use the fact that you can think of the solid as made up of 12 cubes with side length of 1 unit.

The volume of the image of the dilated solid is for k = 1/4 is

3/16 cubic units

Remember that volume, area, length etc all are measured relatively.

If you are 1.7 meters tall, then you're height is measured relative to meters. This is called unit of the measurement. It means that if we collect 1 meter and 0.7 meters too,they together will be equally tall as you.

Similarly, if we say that a triangle has area of 40 square inches, then it means that its area is equal to 40 squares of 1 inch sides.

Since the original solid was of 12 cubic units. it means its volume was equal to the total volume of 12 cubes with 1 unit side length.

Now since the scale factor of the dilation is k, that means each of the cube got its side length multiplied by k

Now  volume of 12 cubes with side length k units is given by

[tex]V = 12 \times k^3[/tex]

Since it is given that k = 1/4, we have:

[tex]V = 12 \times (\dfrac{1}{4})^3 = \dfrac{3}{16} \: \rm unit^3[/tex]  now there are 3/16 cubes with 1 unit length.

Thus,

The volume of the image of the dilated solid is for k = 1/4 is

3/16 cubic units

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Answer:

Your answer is 132 in square

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Answer:

See below.

Step-by-step explanation:

You don't show what the function is, but I'll explain how to do it.

The average rate of change of function f(x), from x = a to x = b, is given by the fraction:

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Since I don't know what the function is, I cannot evaluate the function at x = a and at x = b, which in your case are x = 2 and x = 3, but you can do it.

Here are the steps you need to do:

1) Evaluate the function at x = 3. Get a value for f(3).

2) Evaluate the function at x = 2. Get a value for f(2).

3) Evaluate the following fraction, after writing the values for f(3) and f(2) that you found in steps 1) and 2) above.

[tex] \dfrac{f(3) - f(2)}{3 - 2} [/tex]

The denominator above is easy. It's just 1.

Try it and see what you get. You can write the function and your answer in the comments if you need more help.

WITH WHAT THE SCREEN MAD BLURRY

Answer:

Step-by-step explanation:

please

Answer:

5 3/8

-

1 5/8

= 3 3/4

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

3.75=3.75/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10 to the power of 2 = 100

3.75/1×100/100=375/100

Find the Greatest Common Factor (GCF) of 375 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,

375 ÷ 25

_______ = 15/4

100 ÷ 25

Simplify the improper fraction,

=3 3/4

In conclusion,

3.75=3 3/4

Answer:

a) 46° b) 66° c) 4 cm

Step-by-step explanation:

a) because it is isosceles triangle, therefore, 2 opposite angles, and angle sum of triangle is 180 so 180-67-67=46

b) because again, isosceles triangle so two opposite sides,

x+x+48=180

2x=132

x=66

c)because it is equilateral, so therefore all angles are 60 degrees and all sides equal.

Answer:

10

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.

600 / 6 = 100

10 x 10 = 100

Answer:

Yes

Step-by-step explanation:

Answer:

ɡabemakes a base salary of 1500 per month

he also earns a 3 commision onall of hos sales what must the amount of hid

Answer:

(3,0)

Step-by-step explanation:

2x + 2y = 6  divide thru by 2 and you get  x + y = 3  

Name   x + y = 3  equation (1) and  x - y = 3 equation (2)

Add equations (1) and (2)  

 (1)   x+ y = 3

 (2) x - y = 3    

        2x = 6

          x = 3  

Substitute x = 3 into equation (1).  So, 3 + y = 3

                                                                    y = 0

Answer:

D) 234 square ft

Step-by-step explanation:

The formula for area is: length x width.

The length is 9 in or (using the scale) 18 ft.

The width is 6.5 inches or (using the scale) 13 ft.

Multiply 18 x 13 to get 234 square ft.

Hope it helps!

Answer:

52 millimetres

Answer:

Step-by-step explanation:

[tex]\Delta \% =100\left(\frac{final value-initial value}{initial value}\right)\\ \\ \Delta \% =100\left(\frac{2758526-2838233}{2838233}\approx -2.8\% [/tex]