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3 years ago

The fair spinner shown in the diagram above is spun.

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

No diagram given. Repost.

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sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Ilia_Sergeevich [38]

Answer:

Therefore $\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

$\cos \beta=\frac{2}{5}$

$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

$\cos \alpha=\sqrt{\frac{576}{625}}$

$\cos \alpha=\frac{24}{25}$

$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

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

$\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

7 0

3 years ago

Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,

lord [1]

The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.

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4 years ago

A quality of control inspector found that 1.3% of 1500 computers inspected were defective. How many computers were defective?

Valentin [98]

Okay to find percentages of things you have to take that original value (1500) and multuply it by the percentage. But when you multiply you put the percentage into a decimal and move it over to the right side two decimal places to the left. For example 10.0% would mean you need to multiply by 0.10 okay?

So for this problem you need to do 1500 *.013 and you get 19.5 computers.

5 0

3 years ago

I need help with one question ummm but can u pwease help me?

Eva8 [605]

Answer:

31 days BRAINLIEST

Step-by-step explanation:

7x4+3=31

7 days in week

3 0

2 years ago

Read 2 more answers

What is the length of AB?

Nadusha1986 [10]

Answer:

10.5??

Step-by-step explanation:

3 0

4 years ago