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likoan [24]
3 years ago
15

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

Mathematics
2 answers:
quester [9]3 years ago
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
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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 <u>as time increases, the amount of water in the pool increases</u>.

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 <em>rate of change</em> (which is also the <em>slope </em>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:

<u>11 gallons per minute</u>

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 <u>65 gallons</u> 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
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It seems that she runs two more laps each day, so:

day 1- 3

day 2- 5

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day 5- 11

day 6- 13

simple patterns baby

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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<br> 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]
<span>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:

</span>
<span>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%.
</span>
7 0
3 years ago
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