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Ainat [17]
2 years ago
7

1.Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics
1 answer:
Ronch [10]2 years ago
6 0
Remember, for any right triangle, the hypotonuse is always longer than the 2 legs

if the legs are length a and b and the hypotnuse is c then
a²+b²=c²

test each


1.
7²+24²=25²?, 49+576=625? yes, this works
12²+15²=20?, 144+225=400?, no
9²+11²=14?, 81+121=196? no
15²+18²=21²? 225+324=441? no

first one is answer, 7 24 25



2.
9²+40²=41?, 81+1600=1681? yep
12²+15²=20²? 144+225=400? nope
2²+3²=4²? 4+9=16? no
8²+9²=10²?, 64+81=100?, no

answer is first one or 9,40,41
You might be interested in
The average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation o
frosja888 [35]

Answer:

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 5

The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 36}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

1 - 0.7881 = 0.2119

So 21.19% of the students use the computer for longer than 40 minutes.

Out of 10000

0.2119*10000 = 2119

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

8 0
3 years ago
On a map the key indicates that 1/4 inch = 1/2 mile. if two cities on themap are 4 1/2 inches apart what is the distance between
Ilya [14]
Let the actual distance be x mile.
1/4 inch = 1/2 mile
9/2 inch = x mile
(9/2)/(1/4)=x/(1/2)
            18=2x
              x=9

the actual distance is 9 mile.
8 0
2 years ago
Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
50 Points!
koban [17]

Answer:

The exact height of the actual building is 822.5 feet.

7 0
3 years ago
Solve the following system of equations.<br><br> 9x + 4y = 4<br><br> -5x + 7y = 7
enyata [817]

Answer:

this is the answer with steps

hope it helps!

7 0
3 years ago
Read 2 more answers
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