The base of a ladder is placed 5 feet away from a 10-foot-high wall, so that
the top of the ladder meets the top of the wall. What is the measure of the
angle formed by the ladder and the ground? Round nearest degree
A
10 ft
63 degrees
O 79 degrees
O 73 degrees
68 degrees

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

Answer:

The answer is A. 77.

Step-by-step explanation:

Using trigonometry formula

We know, tan = opposite/adjacent

So, tan x° = 13/3

=> x° = [tex]tan^{-1}[/tex](13/3)

∴ x° = 77.005° ≈ 77.01°

Answer:

A 77

Step-by-step explanation:

Answer:

x = -7   or   y = 1

Step-by-step explanation:

Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...

x = -7   or   y = 1

Answer:

1.   5 in.

2.   12 in.

3.   3.5 in.

4.   30 ft

5.   4 m

6.   32 mm

7.   53.41 m

8.   18.85 ft

9.   87.96 in

10.  56.56 mm

11.   20.57 in

12.  25.71 yd

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

7=3x-63

add 63 to both sides

70=3x

divide by 3

x=23.33

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Answer:

1/2

Step-by-step explanation:

Answer:

16.125 is the perimeter

Step-by-step explanation:

Multiply 15.375 × 3 because a triangle has three sides and is equilateral.

15.375 × 3 = 16.125

Have a great day!

Answer:

No

Step-by-step explanation:

this is my opinion so No

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Answer:

Average velocity = 1

Step-by-step explanation:

f(3) = 3² - 3(3) + 4 = 4

f(1) = 1² - 3(1) + 4 = 2

[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]

Answer:

12.568m^2

Step-by-step explanation:

A=πr^2 where r is. radius

=3.142(2^2)

=3.142(4)

=12.568m^2

Answer:

8m

Step-by-step explanation:

Answer:

√29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:

a^2 + b^2 = c^2

2^2 + 5^2 = c^2

4 + 25 = c^2

c^2 = 29

c = √29

Since c is the hypotenuse and is the same length of the line, the line is √29 units long

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

Answer:

Step-by-step explanation:

Answer:

3x + y =0

Step-by-step explanation:

We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .

Slope :-

=> m = -1-0/3-0

=> m = -1/3

Using point slope form :-

=> ( x - x1) = m( y - y1)

=> ( x - (-1)) = -1/3( y - 3)

=> (x + 1 )3= -y + 3

=> 3x +3 = -y + 3

=> 3x + y = 0

✔️ Checking :-

=> 3(-1) + 3 = 0

=> -3+3=0

=> 0 = 0

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

Answer:

$49,057.50

Step-by-step explanation:

To find how much a percent is of a number you multiply that number and that percent then add the two

SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps

Answer:

64 cm

Step-by-step explanation:

If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8

Each side equals 8. 8•8=64 The area is 64cm.

Answer:

168

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Answer:

The answer should be 18.