All categories

2 years ago

How do the acute and obtuse angles compare to the right angles?

1 answer:

6 0

Acute: The angle is LESS than 90 Degrees
Obtuse: The angle is MORE than 90 Degrees
Right: The angle is EXACTLY 90 Degrees

You might be interested in

Cheryl spends 3/10 of her savings on a book and 2/5 of it on a pen. What fraction of her savings does Cheryl spend.

Musya8 [376]

7/10 is the answer k

5 0

3 years ago

Read 2 more answers

Differentiate with respect to X <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Bcos2x%7D%7B1%20%2Bsin2x%20%7D%20

Mice21 [21]

Power and chain rule (where the power rule kicks in because $\sqrt x=x^{1/2}$ ):

$\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'$

Simplify the leading term as

$\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}$

Quotient rule:

$\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}$

Chain rule:

$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

$(1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)$

Put everything together and simplify:

$\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

5 0

3 years ago

the school choir members have collected 6,000 aluminum cans. If the recycling center pays $2.00 for 500 cans. how much money wil

lapo4ka [179]

$24.00. 6,000 divided by 500 is 12 times the $2 per 500 is $24

4 0

3 years ago

Read 2 more answers

A stock was purchased at $15.75 per share, and sold at $19.25 per share.

BARSIC [14]

ANSWER:
B. $3.50

STEP BY STEP EXPLANATION:

We start out with buying the stock for $15.75 then sell it at $19.25. We need to find the difference.

Subtract $15.75 from $19.25

19.25 - 15.75 = 3.50

To check your work add $3.50 to $15.75

15.75 + 3.50 = 19.25

Hope this helps and please mark brainliest! : )

3 0

3 years ago

Quesuon 10 of 10

Bad White [126]

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2 + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q= 5

Hence (p, q) is (2, 5)

7 0

3 years ago