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3 years ago

11

PLEASE ANSWER FAST I NEED FOR A TEST QUICKLY!

1 answer:

goblinko [34]3 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

Looking at the diagram, we can deduct that the appropriate formula to use is form power of a point, specifically when two secants intersect outside of a circle. Using this, you get the equation:

(x + 5 + 7)(7) = (x + 1 + 8)(8)

And, you can simplify and solve:

(x + 12)(7) = (x + 9)(8)

7x + 84 = 8x + 72

84 = x + 72

x = 12

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Simplify the following <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%201%20%7D%20%7B%20%5Cfrac%2

Anon25 [30]

Good evening, Riley!

Used properties:

$\star~\boxed{\mathsf{a = \dfrac{ax}{x}, \ \ x\neq 0}}\\ \\ \\ \star~\boxed{\mathsf{\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{ad}{bc}}}$

Now, note that:

$\mathsf{1 = \dfrac{x}{x},\ x\neq 0}$

So:

$\mathsf{\dfrac{\frac 1 x + \frac x x }{\frac 1 x} = \dfrac{\frac{x+1}{x}}{\frac 1 x}}=} \mathsf{\dfrac{x}{1}\dfrac{x+1}{x} = \boxed{x + 1}}$

8 0

3 years ago

Please help!! 10 points.

TiliK225 [7]

Answer:

$\boxed{ \text{1. 59.44 in}^{2} \text{; 2. 352.7 in}^{2} \text{; 3. 471.6 in}^{2}}$

Step-by-step explanation:

1. Area of base

The radius given is that of the circumcircle.

The general formula for the edge length a of a regular polygon is

a = 2Rsin(π/n)

So,

a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in

The general formula for the area of a regular polygon is

A = ¼na²cot(π/n)

So,

A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²

2. Lateral area

The general formula for the lateral area L of regular prism is

L = nah

So,

L = 5 × 5.878 × 12 = 352.7 in²

3. Total area

Total surface area = lateral area + 2×base area

S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

$\boxed{ \text{B = 59.44 in}^{2} \text{; L = 352.7 in}^{2} \text{; S = 471.6 in}^{2}}$

3 0

4 years ago

If f(x)=5x what is f square -1 (x)?

Gnom [1K]

Answer:

$\frac{x}{5}$

Step-by-step explanation:

$f {}^{ - 1} (x)$

means inverse.

Find the inverse of the function.

$f(x) = 5x$

Replace y with and vice versa.

$x = {5y}$

Solve for y

$\frac{x}{5} = y$

The inverse function is

$\frac{x}{5}$

6 0

3 years ago

You roll a standard number cube. find P(3or4)<br><br>A) 1/6<br><br>B) 1/3<br>C) 5/6<br>D) 1/2

Art [367]

That's a 2/6 probability, so 1/3 -- B.

6 0

3 years ago

Which algebraic expression is equivalent to the expression below? 9(3x - 6) + 11x A. 16x + 54 B. 38x - 6 C. 16x - 54 D. 38x - 54

lesya [120]

Answer:

D. 38x−54

Step-by-step explanation:

8 0

3 years ago