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2 years ago

How could you use coordinate geometry to prove that BC AD?

Mathematics

1 answer:

leva [86]2 years ago

4 0

Answer:

3) Prove the lengths are the same.

Step-by-step explanation:

Congruent is a measure of the lengths of the sides not the slopes.

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*trigonometry and area.*

soldier1979 [14.2K]

Answer:

The correct answer is that the area of the regular octagon is 309 cm²

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)

6 0

2 years ago

Simplify 1+sinx/cosx+cosx/1+sinx

Dmitry [639]

$\frac{1 + sin(x)}{cos(x)} + \frac{cos(x)}{1 + sin(x)}$
$\frac{[1 + sin(x)][1 +sin(x)]}{cos(x)[1 + sin(x)]} + \frac{cos(x)[cos(x)]}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x)}{cos(x)[1 + sin(x)]} + \frac{cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x) + cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + 1}{cos(x)[1 + sin(x)]}$
$\frac{1 + 1 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2[1 + sin(x)]}{cos(x)[1 + sin(x)]}$
$\frac{2}{cos(x)}$
$2sec(x)$

6 0

2 years ago

The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is

Lesechka [4]

9514 1404 393

Answer:

increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0

2 years ago

10x^3 - 25x^2 + 20 How to factor this

patriot [66]

5(2x^2-x-2)(x-2)

Step-by-step

Answer: $5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)$

5 0

2 years ago

A store donated 2 1/4 cases of crayons to a day care center.Each case holds 24 boxes of crayons ; each box holds 8 crayons, How

aleksandr82 [10.1K]

2 1/4 x 24 x 8

9/4 x 24= 54

54 x 8 = 432 crayons

7 0

3 years ago