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Ann [662]
2 years ago
15

For which acute angle are the sine of the angle and cosine of the angle equal? A. 30º B. 45º C. 60º D. 75º

Mathematics
2 answers:
yulyashka [42]2 years ago
6 0
For this case we have the following definitions:
 cosx= \frac{C.A}{h}
 sinx= \frac{C.O}{h}
 Where,
 x: angle
 C.O: opposite leg
 C.A: adjacent leg
 h: hypotenuse
 Since the hypotenuse is constant, then the angle for which the legs are equal is 45 degrees.
 We have then:
 sin45=cos45= \frac{\sqrt{2}}{2}
 Answer:
 B. 45º
Vera_Pavlovna [14]2 years ago
5 0
For a right triangle, the sine of an angle is the ratio of the length of the side opposite to it and the hypotenuse and the its cosine is the ratio between the side adjacent to it and the hypotenuse. From the given choices, the angle being referred to is letter B. 45°.
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Which of these is a two-step equation?<br> A.X+ 9 = 21<br> B.x= 11+2<br> C.2x + 9 = 21<br> D.x/3 = 9
inysia [295]
The answer would be C
2x + 9 = 21
1. 2x = 12
2. x = 6
4 0
3 years ago
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An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille
steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

r=18/2=9\ ft ----> the radius is half the diameter

Remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

h=4.5-0.5=4\ ft

assume

\pi =3.14

Find the volume of the water

V=(3.14)(9^{2})(4)

V=1,017\ ft^3

5 0
2 years ago
△ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°. Using the
True [87]
It is y=130 because they are congruent
8 0
3 years ago
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Evaluate 4 square root 9 square root 9 over 4 square root 9^5​
Sedbober [7]

\frac{\sqrt[4]{9}.\sqrt{9}}{\sqrt[4]{9^5}}

\frac{9^\frac{1}{4}.9^\frac{1}{2}}{9^\frac{5}{4}}

\frac{9^\frac{6}{8}}{9^\frac{5}{4}}

9^{\frac{6}{8}-\frac{5}{4}}

9^\frac{-1}{2}

8 0
2 years ago
HELP!!<br> Which table is a probability distribution table?
fomenos

Answer:

Table 1 is the only table which represents PROBABILITY DISTRIBUTION table.

Step-by-step explanation:

In any given probability distribution:

1) The probability of each event should be strictly POSITIVE.

2) Sum of all events in a a distribution should be 1.

Now, here

A) All of the values of probability (0.11, 0..5, 0.49,0.35)  are positive.

Also, 0.11 +  0.5 +  0.49 + 0.35  = 1

So, the given table is a PROBABILITY DISTRIBUTION.

B)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Blue) =  -1, which is negative.

C)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Green) =  -0.49, which is negative.

D)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Purple) =  -0.1, which is negative.

Hence, table 1 is the only table which represents  PROBABILITY DISTRIBUTION table.

3 0
3 years ago
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