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katovenus [111]
3 years ago
5

Solve the equation. 6m+3=2m−4/2

Mathematics
1 answer:
Alborosie3 years ago
8 0
First, you need to isolate m. Do 6m-2m, which is 4m. Then, divide -4/2, which is -2. Then, minus 3 over to the other side. we then get 4m=-5. Then, divide for over, which is -5/4
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How can the radian measure of an angle determine the arc length on the unit circle?
Darina [25.2K]
A unit circle is the one which has radius equal to 1.

The relation between radius of circle (r), the arc length (s) and the radian measure of angle made by arc (Ф) is given as:

s = rФ

For a unit circle, r = 1, so the above equation becomes:

s= Ф

This means, the arc length will be equal to the angle made by that arc in radians.
8 0
3 years ago
An artist is creating a stained glass design. She uses a lead border around each piece. The radius of the circle is 2 ¼ in. Use
NARA [144]

Answer:

The correct answer is -

a. 4.5 inches.

b. side or arm (a)

c. (a) or 4.5, and 18

d. (d) 4.5, and 14.1428

e. 22/7 × r^2 = 15.90

Step-by-step explanation:

Given :

Radius or r = 2 ¼ inches

Solution:

a. the diameter of the circle -

d = 2r

= 2 ¼  *2

= 2.25*2

= 4.5

b. The diameter of the circle is the same length as one side or arm of the square which is

a = d = 4.5

c. The perimeter of the square

P = 4a = 4d = 4*4.5 = 18

d. Perimeter of the circle =

2πr = πd = (22/7)*4.5

= 14.1428

e. the area of the circle =

22/7 × r^2

= 15.90

4 0
3 years ago
Which brand of rice is the better buy? Explain your reasoning.
Ad libitum [116K]
So you have to divide the amount by how many you’re buying and get the unit rate per each ounce so the answer is b
5 0
3 years ago
Read 2 more answers
A local school has 14 kindergarten teachers. Of these teachers, 4 are Hispanic, 5 are bilingual, and 3 are both Hispanic and bil
navik [9.2K]

Answer:

P(Hispanic or Bilingual) = 0.429.

Step-by-step explanation:

This question is solved treating these events as Venn probabilities.

I am going to say that:

Event A: Hispanic

Event B: Bilingual

Out of 14 teachers, 4 are Hispanic, 5 are billingual, and 3 are both:

This means that:

P(A) = \frac{4}{14}, P(B) = \frac{5}{14}, P(A \cap B) = \frac{3}{14}

What is the probability that teacher is Hispanic or bilingual?

This is:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

With the values that the exercise gives us:

P(A \cup B) = \frac{4}{14} + \frac{5}{14} - \frac{3}{14} = \frac{4 + 5 - 3}{14} = \frac{6}{14} = 0.429

So

P(Hispanic or Bilingual) = 0.429.

6 0
3 years ago
Which value of v makes 12=12+\defray{v-8}{2}12=12+ 2 v−8 ​ 12, equals, 12, plus, start fraction, v, minus, 8, divided by, 2, end
ollegr [7]

The value of v which makes the statement true is 8.

<u><em>Explanation</em></u>

The given statement is:   12= 12+ \frac{v-8}{2}

For finding the value of v which makes the statement true, we will just solve the above equation for  v.

First we will <u>multiply both sides by 2</u> and then solve for v. So.......

12*2=(12+\frac{v-8}{2})*2\\ \\ 24=24+v-8\\ \\ 24=v+16\\ \\ v=24-16=8

Thus, the value of v which makes the statement true is 8.

8 0
3 years ago
Read 2 more answers
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