All categories

3 years ago

1. Two students went to McDonald's. They each bought the same snack, which included a shake

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

12-2=10 b=10

Step-by-step explanation:

You might be interested in

What is the perimeter of a sandbox that measures 5 feet by 6 feet?

hjlf

Answer:

22 feet

Step-by-step explanation:

6+5+6+5

= 11+11

= 22

6 0

2 years ago

Simplest radical form

Anton [14]

Answer:

Step-by-step explanation:

A(7,1), B(5,-6)

(AB)² = (-6-1)² + (5-7)² = 53

AB = √53

3 0

3 years ago

Find the GCF of 38, 76, and 114.

valentina_108 [34]

Answer:

GCF = 38

Step-by-step explanation:

38 = 2×19

76 = 4×19 = 2²×19

114 = 2×3×19

GCF = 2×19 = 38

3 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

$56,820 rounded to the nearest dollar

Alex_Xolod [135]

Well, if that is a comma in the number, it is already rounded. If the comma is supposed to be a decimal, the answer would be $57.

6 0

3 years ago