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4 years ago

An angle measures 12° less than the measure of a complementary angle. what is the measure of each angle?

Mathematics

1 answer:

RSB [31]4 years ago

6 0

(x-12)+ (x)=90 degrees

2x-12=90 degrees

2x=102

x=51

((51)-12)=39

so 39 is your answer

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Nady [450]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the probability of getting exactly 5 “heads” in 10 coin flips ?

castortr0y [4]

There are $\dbinom{10}5=\dfrac{10!}{5!(10-5)!}=252$ ways of getting exactly 5 heads in 10 tosses. There are $2^{10}=1024$ possible outcomes. So the probability of getting exactly 5 heads is

$\dfrac{252}{1024}=\dfrac{63}{256}\approx24.61\%$

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3 years ago

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Identity the coefficients of 7p - 3r + 6 - 5s

grandymaker [24]

The coefficients are 7, 3, and 5. Coefficient just means the number before the variable

5 0

3 years ago

Which inequality is true when G = 3/5 ?

GREYUIT [131]

Answer:

D. 15G > 9

Step-by-step explanation:

Given: G = 3/5

Here we have to check each options and find which is true.

Let's start from A.

G - 1 > 2/5

G > 2/5 + 1

G > 7/5 is not true.

B. -10G > 6

Dividing both sides by -10 , we get

G < -6/10

G < -3/5 Is not true.

C. 1 2/5 + G > 3

Now convert 1 2/5 to improper fraction.

1 2/5 = 7/5

7/5 + G > 3

G > 3 - 7/5

G > (15 - 7)/5

G > 8/5 is not rule.

D. 15G > 9

Dividing both sides by 15, we get

G > 9/15

Now we have to simplify 9/15

G > 3/5 which is true.

Answer: D. 15G > 9

Thank you.

4 0

4 years ago

In a circle, a 90degrees sector has area 144pi in2. What is the radius of the circle?

RUDIKE [14]

Answer:

The radius of the circle is 24 inches.

Step-by-step explanation:

Central angle in a sector is 90 degrees

Area of a sector is $144\pi\ \text{inch}^2$

The area of sector is given by the formula as follows :

$A=\dfrac{\theta}{360}\pi r^2$

r is the radius of circle

$r=\sqrt{\dfrac{360 A}{\theta \pi}} \\\\r=\sqrt{\dfrac{360 \times 144\pi }{90\times \pi}} \\\\r=24\ \text{inch}$

So, the radius of the circle is 24 inches.

6 0

4 years ago