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Anton [14]
3 years ago
10

What is 8 + ¼ ÷ ⅖ using order of operations

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer:

exact form: 69/8

mixed number form: 8 5/8

Step-by-step explanation:

                          ^

1/4 ÷ 2/5 = 5/8   |

5/8+8 = ______|

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The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

6 0
3 years ago
The area of a regular hexagon is 14.96 cm2. What is the perimeter of the hexagon? A. 1.2 space c m B. 1.2 square root of 3 space
victus00 [196]

Answer:

14.4 cm

Step-by-step explanation:

The formula for the area of a regular hexagon in terms of its side length s is ...

... A = (3√3)/2·s²

Then the side length is ...

... s = √(2A/(3√3))

and the perimeter is ...

... P = 6s = √(8A√3)

For your area, this is ...

... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm

7 0
3 years ago
Read 2 more answers
a counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counte
nekit [7.7K]
For the trapezoid, the equation used to solve for the area is,
                           A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
                          1224 = (0.5)(70.5 + 65.5)(h)
                                     h = 18
Thus, the height of the counter top is 18 inches. 
7 0
3 years ago
I need help with this question?
Delicious77 [7]
If I remember right the answer is c
5 0
3 years ago
Help on questions 11 and 15 Add and simplify if possible
Svetllana [295]
\frac{16+x}{x^3}+\frac{7-4x}{x^3}=\frac{16+x+7-4x}{x^3}=\frac{23-3x}{x^3}\\\\======================================\\\\\frac{5}{t-1}+\frac{3}{t}=\frac{5t}{t(t-1)}+\frac{3(t-1)}{t(t-1)}=\frac{5t+3t-3}{t^2-t}=\frac{8t-3}{t^2-t}
7 0
3 years ago
Read 2 more answers
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