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3 years ago

Given that sin A = 1/3 and angle A is in the first quadrant, find cos A

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

7 0

Hope this helps you.

scoundrel [369]3 years ago

3 0

Sin A = opposite / hypotenuse

If angle A is in the first quadrant, that means both x and y coordinate are positive.

Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.

Now you can use Pythagorean Theorem to solve for the length of adjacent side:

a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2

So adjacent side is 2√2.

So now we can solve for cosA:

cosA = adjacent / hypotenuse = 2√2 / 3

Final answer: 2√2 / 3

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-5=3/4x-2 solve for x and please show your work!

Nookie1986 [14]

-5 = $\frac{3}{4} x$ - 2 equals x = -4.

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Fifth, divide both sides by 3. / Your problem should look like: $- \frac{12}{3}$ = x.
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3 years ago

Match each unit rate on the left with an equivalent phrase on the right. Some

Stella [2.4K]

Answer:

C, E, D

Step-by-step explanation:

A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)

<h3>Application</h3>

When rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.

Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.

C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket

D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket

E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket

<h3>Matching</h3>

(38 apples)/(1 basket) = C: 38 apples/basket

(45 apples)/(1 basket) = E: 45 apples/basket

(42 apples)/(1 basket) = D: 42 apples/basket

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2 years ago

A nursery owner buys 5 panes of glass to fix

givi [52]

The cost of another 2 panes of glass is 5.70

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3 years ago

What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?

solong [7]

The general formula: y=mx+b

(6,2) ⇒ x=6,y=2
m=3
b=?

2=3*6+b
2=18+b
b=-16

<u>y=3m-16</u>

7 0

3 years ago

I need these done ASAP! do the properly for brainliest!

Vlad [161]

I can answer the slopes

Answer:

1. would have a slope of 2

2. would have a slope of -1.66

3.would have a slope of 0

4. would have a slope of -13

Step-by-step explanation:

(Y2 - Y1) / (X2 -X1)

1. (9-5) / (4-2) = 4 / 2 =2

2. (-5-5) / (3 - -3) = -10 / 6 = 1.66

3. (2 - 2) / (5 - -4) = 0 / 9 = 0

4. (-7 - 6) / (3 - 3) = -13 / 0 = -13

8 0

3 years ago