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2 years ago

Write as a fraction 7%

Mathematics

2 answers:

gavmur [86]2 years ago

3 0

7/100

just divide the percent by 100.

Nadusha1986 [10]2 years ago

3 0

Answer:

7/100

This answer doesn't really require an explanation.

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

Can you help me please?

11111nata11111 [884]

Answer:

The answer is B

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is 862,840 rounded to

aliya0001 [1]

862,840 is rounded to 900,000

3 0

2 years ago

What is the lowest common denominator of 1/3 and 2/5

Citrus2011 [14]

Answer:

Step-by-step explanation:

3 and 5 are not common denominators so you have to find the lowest common denominator which is 15 because 3 times 5 is 15

8 0

2 years ago

Betty and Adam are playing cards. Betty has won 6 hands and Adam has won 24 hands. What is the ratio of the number of hands Bett

pshichka [43]

Betty : Adam
6 : 24
1 : 4

The answer is 1 : 4

Hope this helps.

4 0

3 years ago