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3 years ago

A triangle that contains angles of 35°, 90°, and 55° is a(n) _______ triangle. A. right B. acute C. obtuse D. equiangular

2 answers:

4 0

Since one of the angles is 90 degrees (right angle) and the other two angles are less than 90 degrees (acute angles) it is a right triangle because it cousins of right angle. Hope this helped!

frosja888 [35]3 years ago

4 0

A. Right

This is bc 90° is a right angle.

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was 65 gallons of water in the pool before Ann starting adding water.

3 0

2 years ago

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Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third, and so on. On which day will Roberta jog 13 laps if

-BARSIC- [3]

It seems that she runs two more laps each day, so:

day 1- 3

day 2- 5

day 3- 7

day 4- 9

day 5- 11

day 6- 13

simple patterns baby

5 0

3 years ago

Which interval contains the median sandwich price?

lakkis [162]

Answer:

C $11–$12

Step-by-step explanation:

I got this right

7 0

2 years ago

Determine the value of x 10

Luden [163]

Answer:

Also 10

Step-by-step explanation:

This type of triangle has two sides of equal length

3 0

3 years ago

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For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of sc

mr Goodwill [35]

In a normal distribution 68.27% of the values are within one standard deviation from the mean, 95.5% of the values are within two standard deviations from the mean, and 99.7 % of the values are within three standard deviations of the mean

With that you have the answer to the three questions:


a. significantly high (or at least 2 standard deviations above the mean).

99.5% of the values are within 2 standard deviations from the mean, half of 100% - 95.5% = 4.5% / 2 = 2.25% are above the mean, so the answer is 2.25%

b. significantly low (or at least 2 standard deviations below the mean).

The other half are below 2 standard deviations, so the answer is 2.25%

c. not significant (or less than 2 standard deviations away from the mean).

As said, 95.5% are within the band of two standard deviations from the mean, so the answer is 95.5%.

7 0

3 years ago

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