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3 years ago

30-60-90 triangle..find the value of y ?

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

cos 30°=b/h

√3/2=6√3/y

y=6√3/√3/2

y=12

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Four circles, each with a radius of 2 inches, are removed from a square.

natka813 [3]

Given:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

Area of a square:

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

$A=s^2$

$A=8^2$

$A=64$ $in^2$

Thus, the area of the square is 64 square inches.

Area of the four circles:

The area of one circle is given by

$A=\pi r^2$

Substituting r = 2, we have;

$A=4\pi$

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

Area of the remaining square:

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

$Area=64-16\pi$

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

5 0

2 years ago

May someone help me with B) Thank you so much ❤❤

Tom [10]

180 degrees - 116 degrees =64 degrees (angle PDC)

180 degrees - 64 degrees = 116 degrees (angle APD)

3 0

3 years ago

I've always been super bad at fractions but plz what is this???

joja [24]

So..to make it easier you can jut multiply by 2 on both sides...

so you get 3y-2y=8+y..

which is equal to 0=8..but because they arent equal it means that there is no solution.

4 0

3 years ago

6. Evaluate the following expression: 10 + 4(6-2) А. 56 B. 82 С. 18 D. 26

irakobra [83]

Answer:

D. 26

Step-by-step explanation:

$10+4(6-2)\\10+4(4)\\10+16\\26$

7 0

3 years ago

Read 2 more answers

Life tests performed on a sample of 13 batteries of a new model indicated: (1) an average life of 75 months, and (2) a standard

frozen [14]

Answer:

(71.28, 78.72)

Step-by-step explanation:

We have the following information from the statement:

mean (m) = 75

sample standard deviation (sd) = 5

Sample size (n) = 13

Significance level (alpha) = 1 - 0.98 = 0.02

Degrees of freedom for t-d (df) = n - 1 = 13 - 1 = 12

The critical value would be:

t (alpha / 2) / df = T (0.01) / 12 = 2,681 (this for the table)

Margin of error equals:

E = t (alpha / 2) / df * sd / n ^ (1/2), replacing:

E = 2,681 * 5/13 ^ (1/2)

E = 3.72

Therefore, the interval of 98% confidence interval would be:

75 + 3.72 = 78.72

75 - 3.72 = 71.28

(71.28, 78.72)

5 0

3 years ago