What is the length of an arc if we know the radius of curvature is 12 in. and the area of the sector created is 252 in. sq.

Ratling [72]

9.09 is what your looking for.

7 0

3 years ago

Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the rema

Arturiano [62]

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

5 0

3 years ago

Read 2 more answers

A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number

Oksana_A [137]

Y=mx+b
m=slope
b=yint

two points
cost=y
(4,5.5) and (7,7.75)
slope=(y2-y1)/(x2-x1)
slope=(7.75-5.5)/(7-4)=2.25/3=0.75

y=0.75x+b
find b
(4,5.5)
x=4
y=5.5
5.5=0.75(4)+b
5.5=3+b
minus 3 fromboth sides
2.5=b

y=0.75x+2.5
3 hours
y=0.75(3)+2.5
y=2.25+2.5
y=4.75

answer is D

7 0

4 years ago

Read 2 more answers

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

4 years ago

You are re-tiling the entry to your home and want to create a fancy circular medallion in the center. You want to create a large

WINSTONCH [101]

You need 864.52 sq. in. of blue tile.

We need to find the area of the large circle (including blue and yellow) and the area of the yellow circle.

We have the circumference of the blue circle, 113.097.
C = πd
113.097 = 3.14d

Divide both sides by 3.14:
113.097/3.14 = 3.14d/3.14
36.018 = d

The diameter is twice as much as the radius, so r = 36.018/2 = 18.009.

The area of a circle is given by the formula
A = πr²
A = 3.14(18.009)² = 1018.38 sq. in.

The area of the small yellow circle is given by
A = 3.14(7²) = 3.14(49) = 153.86

Subtracting these two, we have
1018.38 - 153.86 = 864.52 sq. in.

3 0

3 years ago