Please help me with this

Answers

Answer 1

Answer:

x° = 54°

Step-by-step explanation:

The angle where the diameter meets the tangent line is a 90° angle, so the angle x° is complementary to the angle 36°. (Thus the sum of angles in the triangle is 180°.)

x = 90 -36 = 54

b² + 12b + 32

To factor, let's find two numbers that multiply to 32, and add to 12.

I find the two numbers as 4 and 8.

We can expand 12b as 4b + 8b, and factor the pairs.

Factor:

b² + 12b + 32
b² + 4b + 8b + 32
(b² + 4b) + (8b + 32)
b(b + 4) + 8(b + 4)
(b + 8)(b + 4)

The factored form is (b + 8)(b + 4)

a² - a - 20

Using the same process, find two numbers that multiply to -20 and add to -1

The numbers are 4 and -5

Factor:

a² - a - 20
a² + 4a - 5a - 20
(a² + 4a) + (-5a - 20)
a(a + 4) -5(a + 4)
(a - 5)(a + 4)

The factored form is (a - 5)(a + 4)

What is the title of this picture?

Answers

Answer:

Snake who just put on a pair of socks.

Step-by-step explanation:

It looks like you're just missing two letters, p and s.

I hope this helped :)

A sphere has a radius of 5 inches. What is its volume?4
Sphere V= 3
2. Substitute the radius into the formula:
V = 4659
2. Evaluate the power
V = 4(125)
3 Simplify:
VE
It in

Answers

The volume of a sphere with a radius of 5 inches should be 523.6

A pool measuring 8 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1008 square meters, what is the width of the path?

Answers

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients: 1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check: 25*-8 = -200 25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x

x² +17x - 200 = 0

x² + 25x - 8x - 200 = 0

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0 or x - 8 = 0

x = 0 -25 x = 0 + 8

x = -25 x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

I need help on question 45-50

Answers

Here is all the help you need:

-- Profit = (Retail price) minus (Wholesale price)

-- Wholesale price = (Retail price) minus (Profit)

-- Retail Price = (Wholesale price) plus (Profit)

-- English money works just like US money: £1.00 = 100p

If 115% of a number is 460, what is 75% of the number?Please explain the work behind the solution

Answers

In linear equation, 300 is 75% of the number.

What are instances of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.
Finding both intercepts of an equation in this form is rather simple (x and y).
When resolving systems of two linear equations, this form is also incredibly helpful.

115% of a number is 460,

let number is x .

x = 460/115 * 100

46000 / 115 = x

x = 400

400 * 75/100 = 300

Learn more about linear equation

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460 / 1.15 = x

x * 0.75 = your answer

x = 400

400 * 0.75 = 300

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