Kyle's car average 380 miles on a 16-gallon tank of gas. How far can he drive on 6 gallons of gas?

Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

3x + 4x + 5x = 180 degrees which means that 12x = 180.

divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

45 + 60 + 75 = 180 degrees so we're good there.

45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

7 0

3 years ago

Alligator 1 initial weight is 4 lbs. the rate of growth is 2 lbs. per month. Alligator 2 initial weight is 8 lbs. the rate of gr

LekaFEV [45]

Answer:

4 months

Step-by-step explanation:

Let the number of months be x

Alligator 1 weight = 4 + 2x

Alligator 2 weight = 8 + x

4 + 2x = 8 + x
2x - x = 8 - 4
x = 4

The answer is 4 months

7 0

2 years ago

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi

Vesnalui [34]

Answer:

(a) $X\sim N(\mu = 73, \sigma = 16)$

(b) 0.7910

(c) 0.0401

(d) 0.6464

Step-by-step explanation:

Let X = amount of time that people spend at Grover Hot Springs.

The random variable X is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

The distribution of the random variable X is:

$X\sim N(\mu = 73, \sigma = 16)$

(b)

Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-73}{16})\\=P(Z>-0.8125)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.

(c)

Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:

$P(60$

*Use a z-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

6 0

3 years ago

Why do certificates of deposit tend to offer better interest rates than money market accounts?

Musya8 [376]

Because in the money market the money can be withdrawn in any moment buy in the certiicates of deposit there is a maturity date, that is when money can be withdrawn.

8 0

3 years ago

If the sum of 1 and the product of p and 8 is equal to 62 less than p

Ierofanga [76]

Uhh I think isa carrot

5 0

2 years ago