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mylen [45]
3 years ago
15

The side of a square is 11.2 cm. what is the length of the diagonal

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0
You can work out the diagonal by using Pythagoras theorem. (a^2 = b^2 + c^2)

As it is a square, all 4 sides are the same so it would be:
11.2^2 + 11.2^2 = diagonal^2
250.88 = diagonal^2
Square root both sides to get what the diagonal is equal to.
diagonal is 15.8 cm
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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse B A is 9.8 inches, the length of C B is 6.3 inch
german

Answer:

\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)

Step-by-step explanation:

Consider right triangle ABC with right angle C.

In this triangle,

  • BA = 9.8 in
  • CB = 6.3 in
  • CA = 7.5 in

Write trigonometric functions:

\cos \angle B=\dfrac{BC}{AB}=\dfrac{6.3}{9.8}\\ \\\sin \angle B=\dfrac{AC}{AB}=\dfrac{7.5}{9.8}

Hence,

\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)

7 0
3 years ago
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Solve for x. Please help quick, it’s my last question for my test
Sladkaya [172]

Answer:

x = 9

Step-by-step explanation:

84 + (7x + 5) + (180 - (17x-1)) = 180

84 + 7x + 5 + (181 - 17x) = 180

270 + (-10x) = 180

90 = 10x

x = 9

3 0
3 years ago
The graph shows a probability distribution. What is P(X<5)
Thepotemich [5.8K]

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note:  The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5.  The resulting area, on the left, is a trapezoid.  The area of a trapezoid is equal to:

 (average length)·(width, which here is:

  2 + 5

----------- · 0.02  =  (7/2)(0.2) =  0.70

      2

Thus, P(x < 5) = 0.70

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3 years ago
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Nastasia [14]

Answer:

For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Hope this helped

3 0
3 years ago
Help on thisi please
SVETLANKA909090 [29]

Answer:

False for both

Step-by-step explanation:

Neither of these images are symmetrical vertically nor horizontally.

4 0
3 years ago
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