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IRINA_888 [86]
2 years ago
5

12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.​

Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Answer:

32

Step-by-step explanation:

given the triangle is right triangle

c^2 = a^2 + b^2

40^2 = 24^2 + b^2

1600 = 576 + b^2

b^2 = 1024

b = 32

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Vladimir79 [104]

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

4 0
3 years ago
The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,
shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0
1 year ago
What is the initial value of the equation shown?
hodyreva [135]
C. −6, is the best option
7 0
3 years ago
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What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2
Dimas [21]
Find how many numbers are divisible by two and three, then place that number above the total number of items in the set as a fraction. Like this:
\frac{Total-numbers -divisible-by-2-and-3}{Total-numbers-in-set}

4 0
3 years ago
there's some number that if you subtract 15 from it first, and then multiply that total by 7, the result is 28. find the number
yulyashka [42]
(x-15)*7=28

x-15=4

x=19

Final answer: 19
6 0
3 years ago
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