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3 years ago

1.If x2 = 60, what is the value of x?

1 answer:

5 0

Q1, The answer is B. plus or minus the square root of 60

x² = 60
x = ?

Since a² = -√a or a² = +√a, then
x = -√60 or
x = +√60

Q2. The answer is C. 2.83 inches

The area of the square (A) with side s is:
A = s²
Since A = 8 in², then s² = 8 in²
s = √8 in²
s ≈ 2.828 in
s ≈ 2.83

Q3. The answer is D. plus or minus 11

x² = 121
x² = 11²
Since a² = -√a or a² = +√a, then
x = -√11² or x = +√11²
x = -11 or x = + 11

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If Angle B is two more than three times the measure of Angle C, and Angle B and Angle C are complementary angles, find each angl

dolphi86 [110]

Answer:

The measure of angle B is 68° and the measure of angle C is 22°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

m∠B+m∠C=90° -----> equation A

m∠B=3(m∠C)+2 ----> equation B

Substitute equation B in equation A and solve for m∠C

3(m∠C)+2+m∠C=90

4(m∠C)=90-2

4(m∠C)=88

m∠C=88/4

m∠C=22°

Find the value of m∠B

m∠B=3(22)+2=68°

therefore

The measure of angle B is 68° and the measure of angle C is 22°

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3 years ago

A student answer 86 problems on a test correctly and received a grade of 98% how many problems were on the test if all the probl

adoni [48]

Answer:

87 or 88

Step-by-step explanation:

86 is 98% of 87.755102

So, the number of problems must have been 87 or 88

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2 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

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3 years ago

What is the measure of ABD?

Lostsunrise [7]

Answer:

try d or c

Step-by-step explanation:

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3 years ago

Which of the following is most likely the next step in the series? Choices: 10A, 21b, 32C, 43d, 54E, 65f. . A.66g. B.76g. C.76G.

Katena32 [7]

First, we pay attention to the numerical coefficients of the terms in the series: 10, 21, 32, 43, 54, 65. Conclusively they form an arithmetic sequence with a common difference of 11. Thus, the next numerical coefficient is 76. Then, we pay attention to the letters which are just arrange alphabetically. The next letter ought to be G which needs to be capitalized. Thus, the answer is letter C. 76G.

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3 years ago