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3 years ago

To obtain the length of an arc, what fraction is multiplied by the circumference of a circle (C = 2πr)?

2 answers:

5 0

The length of an arc is a portion of the circumference of the circle, and the circumference itself can be considered as a full arc length. The arc length is usually represented by letter 's'. To get the arc length, we must get the proportion of the arc measure and arc length.

Arc measure = Arc length
360º Circumference

Cross multiply and transpose to get the arc length's formula. Since arc measure is equal to the central angle that intercepts the arc, we can replace arc measure to central angle.

Answer: Letter D - central angle over 360

Arc length = Central angle x Circumference
360º

Alexxx [7]3 years ago

3 0

The arc length by definition is given by:
s = r * theta
Where,
r: radius of the circle
theta: central angle in degrees
Substituting values we have:
s = 2πr * (theta / 360)
Answer:
D. central angle over 360

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Which expression could be used to determine the reduction of -4 and 3 1/4

Setler79 [48]

Answer:

The expression that could be used is (-4)(3) + (-4)( $\frac{1}{4}$ ) ⇒ B

Step-by-step explanation:

Let us revise the distributive property:

The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers

a(b + c) = ab + ac

We will use this rule to solve the question

∵ The product of -4 and 3 $\frac{1}{4}$ = -4 × 3 $\frac{1}{4}$

→ We can right 3 $\frac{1}{4}$ as (3 + $\frac{1}{4}$ )

∵ 3 $\frac{1}{4}$ = (3 + $\frac{1}{4}$ )

∴ -4 × 3 $\frac{1}{4}$ = -4(3 + $\frac{1}{4}$ )

→ By using the rule above

∵ -4(3 + $\frac{1}{4}$ ) = (-4)(3) + (-4)( $\frac{1}{4}$ )

∴ -4 × 3 $\frac{1}{4}$ = (-4)(3) + (-4)( $\frac{1}{4}$ )

∴ The expression that could be used is (-4)(3) + (-4)( $\frac{1}{4}$ )

3 0

3 years ago

Please help me with this problem

deff fn [24]

Answer:

C. -3(√y)(∛x²)

Step-by-step explanation:

Recall the rule for exponents with fractions. The numerator represents the power the variable is raised by, and the denominator represents the which root will be taken.

y^1/2 equals √y

and x^2/3 equals ∛x²

So the answer is -3(√y)(∛x²)

Look at the attached image for more clarification

7 0

3 years ago

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

Valentin [98]

Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

Part C: Company A saves you 12.

Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5 8n + 40= 16

7(8) +30= 86 8(8) +40= 104

7(2) + 30= 44 8(2) + 40= 56

56 - 44= 12

7 0

3 years ago

NEED ANSWER ASAP . Which table represents a linear function?

alexira [117]

Answer:

Step-by-step explanation:

Answer choice C would be correct since both sides are increasing at a set rate, x is increasing by one while y is increasing by 2 every time. Hope this helps :)

6 0

3 years ago

Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney re

kakasveta [241]

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read $13\frac{3}{4}$ pages in $\frac{1}{4}$ of an hour.