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3 years ago

The sum of the measure of the interior angles of a polygon is 1980°. What polygon is it? 10-gon 11-gon 12-gon 13-gon

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

13-gon

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is:

S = 180° (n − 2)

If S = 1980°, then:

1980° = 180° (n − 2)

11 = n − 2

n = 13

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Which expression is equivalent to 6+4.5(32f-14f)

vichka [17]

Answer:

$6 + 4.5(32f - 14f) = 6 + 81f$

Step-by-step explanation:

Let us apply the distributive property to find an equivalent expression for:

$6 + 4.5(32f - 14f)$

For all real numbers a, b, and c, the distributive property says that:

$a(b + c) = ab + ac$

We apply this property to get:

$6 + 4.5(32f - 14f) = 6 + 4.5 \times 32f + 4.5 \times - 14f$

$6 + 4.5(32f - 14f) = 6 + 144f - 63f$

We simplify the RHS to get:

$6 + 4.5(32f - 14f) = 6 + 81f$

8 0

3 years ago

What is the correct Unit Rate for 54 pints of juice in 3 containers? *

PilotLPTM [1.2K]

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = $\dfrac{1}{18}\ \text{containers}$

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

7 0

3 years ago

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.

igomit [66]

Answer:

$c(t) = 120 [0.7]^{t}$

Step-by-step explanation:

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.

From that moment forward, the medicine's concentration drops by 30% each hour.

Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as

$c(t) = c(0) [1 - \frac{30}{100}]^{t}$

⇒ $c(t) = c(0) [1 - 0.3]^{t}$

⇒ $c(t) = 120 [0.7]^{t}$ . (Answer)

7 0

3 years ago

Read 2 more answers

A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over

solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

Sonja [21]

Answer:

173/3 feet per second

Step-by-step explanation:

So we know that jackrabbits can travel at 40 miles per hour, and we are trying find how fast they can travel in feet per second. To do this, we must first convert the 40 miles per hour into feet per hour:

$\frac{40mi}{1hr}*\frac{5280ft}{1mi}=\frac{211200ft}{1hr}$

So now we know that 40 miles per hour is equal to 211200 feet per hour. Now we have to convert feet per hour to feet per second. To do this, we must first find the feet per minute (60 min = 1 hr):

$\frac{211200ft}{1hr}*\frac{1hr}{60min}=\frac{211200ft}{60min}=\frac{3520ft}{1min}$

So now we know that 211200 feet per hour is equal to 3520 feet per minute. Now we have to convert feet per minute into feet per second (60 s = 1 min):

$\frac{3520ft}{1min}*\frac{1min}{60s}=\frac{3520ft}{60s}=\frac{176ft}{3s}=\frac{173}{3}ft/s$

So now we know that 3520 feet per minute is equal to 173/3 feet per second.

Since 40 miles per hour equals 211200 feet per hour which equals 3520 feet per minute which equals 173/3 feet per second, 40 miles per hour equals 173/3 feet per second.

The jackrabbits can run at 173/3 feet per second.

I hope this helps. :)

5 0

3 years ago