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2 years ago

Help right now, 12/5 into a mixed number and 21/9

Mathematics

1 answer:

Alborosie2 years ago

4 0

12/5 (2 2/5)
21/9 (2 3/9) (2 1/3 if simplified!) should be your correct answers if I’m not mistaken! Hope this helps!

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The quotient of a number and 8 is 4. Write an algebraic equation for the word sentence.__________________-

Papessa [141]

Answer:

(x/8) = 4

Step-by-step explanation:

7 0

3 years ago

Which of the following is equivalent to (5) 7/3

Maslowich

22/3 is the same as (5) 7/3. It’s the improper form.

5 0

3 years ago

The circumference of the earth is about 40050 km. Which of the following is the closest approximation of the diameter? Use 3.14

prohojiy [21]

D is the answer
40050 divided by 3.14 is 12754.77707

7 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

5 (i + 2) = 8 (i -1)

Vinil7 [7]

5(i + 2) = 8(i -1)
5i + 10 = 8i -8
-3i + 10 = -8
-3i = -18
i = 6

5 0

3 years ago