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3 years ago

If θ is an acute angle and sin θ = 2 1 , then cos θ =

1 answer:

3 0

First of all i think theres a mistakein the question;
i think it is sin θ = $\frac{1}{2}$

and then sin 30° = $\frac{1}{2}$

thus θ= 30° $\frac{ \sqrt{3} }{2}$

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Suppose you flip 3 quarters, one at a time. What is the probability that you will

Semenov [28]

Answer:

The probability of the combination {H, T and H} is 0.125.

Step-by-step explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

$P(\text{H},\text{T and H}) = P(\text{H})\times P(\text{T})\times P(\text{H})$

$=0.50\times 0.50\times 0.50\\=0.125$

Thus, the probability of the combination {H, T and H} is 0.125.

7 0

3 years ago

Use the first and last data points to find the slope intercept equation of a trend line.

andriy [413]

Answer:

y = $\frac{16}{3}x-79$

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points $(x_1,y_1)$ and $(x_2,y_2)$ are lying on a line then slope 'm' of the line will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{47-15}{7-1}$

= $\frac{32}{6}$

= $\frac{16}{3}$

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = $\frac{16}{3}(x-15)$

y = $\frac{16}{3}x-\frac{16}{3}(15)+1$

y = $\frac{16}{3}x-80+1$

y = $\frac{16}{3}x-79$

4 0

3 years ago

Adi is t inches shorter than sunnee sunnee is n inches taller which expression repesent adies hight in inches

kramer

Answer:

adi's height = n-t inches

Step-by-step explanation:

from this question

we have Adi to be t inches shorter than sunnee.

sunnee's height = n inches tall

to get adis height, we have to subtract the height difference t from sunnee's height.

the height difference is how many inches by which Adi is shorter = t

adies height = sunnee's height, n - difference in height, t

= (n-t) inches

this expression represents adis height in inches .

8 0

3 years ago

A. A farmer irrigates her fields with 120,000 cubic yards of water. She has a 1,000-acre farm. How

horsena [70]

Answer:

120 cc yards of water

Step-by-step explanation:

A farmer has 1,000-acre farm. And she irrigates her fields with 120,000 cubic yards of water. We are asked to find how many cubic feet of water does she apply per acre?

1000 acre is irrigated by = 120000 cc yard of water

Hence 1 Acre is irrigated by

$= \frac{120000}{1000}$ cc yards of water

Hence 1 Acre is irrigated by 120 cc yards of water .

8 0

3 years ago

A scale drawing uses the scale 3 in =20ft find the missing measure 57 in = ft

Margarita [4]

If 3 inch....................................20 ft
?inc...........................................57 feet

(57*3)/20=171/20=8.55 inch

8 0

3 years ago