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3 years ago

Select the correct answer. What is the decimal form of 12%?

Mathematics

2 answers:

Leni [432]3 years ago

7 0

Answer:

.12

Step-by-step explanation:

sladkih [1.3K]3 years ago

6 0

Answer:

0.12%

Step-by-step explanation:

12%/100% = 0.12%

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G(x) = -2x -9 what is g(-7)?

tresset_1 [31]

Answer:

g(-7) = 5

Step-by-step explanation:

Step 1: Define

g(x) = -2x - 9

g(-7) is x = -7

Step 2: Substitute and Evaluate

g(-7) = -2(-7) - 9

g(-7) = 14 - 9

g(-7) = 5

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3 years ago

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The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.

algol13

Answer:

Step-by-step explanation:

There are a total of 16+25 = 41 students that own hamsters.

There are a total of 16+24 = 40 students that own dogs.

This is a difference of 41-40 = 1.

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3 years ago

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What are the characteristics of an independent clause? Select three options.

Alexxx [7]

Answer:

1,2,4

Step-by-step explanation:

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PLEASE ANSWER WILL GIVE BRAINLIEST!!

cestrela7 [59]

Answer: 5^6

Step-by-step explanation:

Since the expression has parenthesis, it means to multiply. When you multiply the powers, you get it in the form 5^n.

3 0

3 years ago

If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=15/17and cos b=

tensa zangetsu [6.8K]

The value of $cos(a+b)$ for the angles $a$ and $b$ in standard position in the first quadrant is $-\frac{36}{85}$

We need to find the value of $cos(a+b)$ . To proceed, we need to use the compound angle formula

<h3>Cosine of a sum of two angles</h3>

The cosine of the sum of two angles $a$ and $b$ is given below

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

We are given

$sin(a)=\dfrac{15}{17}\\\\cos(b)=\dfrac{3}{5}$

We need to find $sin(b)$ and $cos(a)$ , using the identity

$sin^2(\theta)+cos^2(\theta)=1$

To find $sin(b)$ , note that

$sin^2(b)+cos^2(b)=1\\\\\implies sin(b)=\sqrt{1-cos^2(b)}$

substituting $\frac{3}{5}$ for $cos(b)$ in the identity, we get

$sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}$

To find $cos(a)$ , note that

$sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}$

substituting $\frac{15}{17}$ for $sin(a)$ in the identity, we get

$cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}$

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

to find $cos(a+b)$ .

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\\\\=\dfrac{8}{17}\cdot\dfrac{3}{5}-\dfrac{15}{17}\cdot\dfrac{4}{5}=-\dfrac{36}{85}$

Learn more about sine and cosine of compound angles here brainly.com/question/24305408

8 0

2 years ago