3 years ago

A student writes the statement

Mathematics

1 answer:

Katen [24]3 years ago

3 0

4. vertical angles are congruent

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3/4 of 22 as a mixed number in its simplest form

user100 [1]

Answer:

3+2times 4=34

Step-by-step explanation:

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2 years ago

Pls solve this<br> we need to find radius of this shape

Strike441 [17]

(not sure )
my method
let projection of b onto line dq be M
BM is 2r
then let the remaining angle ( right) be K
in triangle BMK ,
MK = 29-5-r
By Pyth. theorem ,
23^2 = (2r)^2+(29-5-r)^2
529=4r^2+576-48r+r^2
5r^2-48r+47=0
r = 8.493237063 or 1.106762937(rejected)

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3 years ago

a boy had to save 12.40 to buy a new shirt. what percent of the needed amount had he saved when he had 7.75

Eduardwww [97]

7.75 / 12.40 = 0.625 (100) = 62.5%

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3 years ago

Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

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3 years ago

Find the value g(-2), where g is defined below.<br> g(x) = 2x^2- 4x – 4

DanielleElmas [232]

Answer:

Step-by-step explanation:

For this question, simply plug in -2 for x:

$g(-2)=2(-2)^2-4(-2)-4\\g(-2)=2(4)+8-4\\g(-2)=8+8-4\\g(-2)=12$

Hope this helps!!

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3 years ago