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2 years ago

Plot points at (0, 0) and (3, 4). Draw a line through the points. What is the slope of your line?

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

8 0

Answer:

4/3

Step-by-step explanation:

slope equation is y2-y1 over x2- x1. resulting in your slope of 4/3

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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

2 years ago

If it takes 21 minutes for 5 people to paint 7 walls how many minutes does it take 3 people to paint 5 walls

RideAnS [48]

Answer:

21 minutes divided by 7 walls = 3 minutes per wall for 5 people.

Assuming each worker has the same exact productivity, one person would take 15 minutes to paint a single wall (3 minutes x 5 people to get the amount of time for 1 worker per wall).

15 minutes for one worker multiplied by 5 walls = 75 minutes for one worker. Divide 75 minutes by 3 people = 25 minutes to paint all 5 walls with 3 people.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child

bezimeni [28]

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64