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2 years ago

5

What part of the circumference is an arc whose measure is 30°?

1 answer:

Radda [10]2 years ago

7 0

Circumference of a circle:
C = 2 r π;
Length of an arc:
L = r π α / 180°
L = r π · 30° / 180° = r π /6
r π /6 : 2 r π = 1/6 : 2 = 1/12
Answer: A ) 1/12

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Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

<u>Question</u>:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

<u>Answer</u>:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

<u>Step-by-step explanation:</u>

<u>Given</u>:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

<u>To Find:</u>

Whose basket is heavier and by how much?

<u>Solution:</u>

<u>Step 1: Finding the weight of Ted’s basket </u>

Weight of Ted’s basket = Number of apple in the basket X Weight of each apple

Weight of Ted’s basket = $5 \times 7\frac{1}{4}$

Weight of Ted’s basket = $5 \times \frac{29}{4}$

Weight of Ted’s basket = $\frac{145}{4}$

Weight of Ted’s basket = 36.25 --------------------------------(1)

<u>Step 2: Finding the weight of Robin’s basket </u>

Weight of Robin’s basket = Number of apple in the basket X Weight of each apple

Weight of Robin’s basket = $6 \times 6\frac{1}{2}$

Weight of Robin’s basket = $6 \times \frac{13}{2}$

Weight of Robin’s basket = $\frac{78}{2}$

Weight of Robin’s basket = 39 ounces--------------------------(2)

<u>Comparing equation (1) and (2)</u>

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket > Weight of Ted’s basket

5 0

3 years ago

Vis inversely proportional to r, when r = 3, V= 10.

guapka [62]

Answer:

Constant of proportionality = 30

Example: r = 6, V = 5

Step-by-step explanation:

Inverse proportion: V*r = constant

Given r=3, V=10, constant = V*r = 30

Example:

r = 6, V = 30/6 = 5

8 0

2 years ago

Asa trust grow where ships grapefruit in box of 10. One season , The grower shipped 20,400. Boxes of grapefruit. How many grapef

Scorpion4ik [409]

Divide 20,400 by 10 and you get 2,040

7 0

3 years ago

In this diagram, if Z is the centroid of ABC and CT = 15, what is ZT? A. 5 B. 7.5 C. 10 D. 30

Kisachek [45]

The answer is A........5

3 0

3 years ago

To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o

Karolina [17]

Answer:

x = -1

x = 3

Step-by-step explanation:

$\sf x^2 - 2x = 3$

Add 1 to both sides:

$\sf \implies x^2 - 2x+1 = 3+1$

Factor the left side:

$\sf \implies (x-1)^2 = 4$

Square root both sides:

$\sf \implies x-1 = \pm2$

Therefore:

$\sf \implies x-1=-2 \implies x=-1$

$\sf \implies x-1=2 \implies x=3$

6 0

2 years ago