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tester [92]
3 years ago
12

Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.

Mathematics
2 answers:
alekssr [168]3 years ago
5 0
C=2pir
a=pir^2
69.08=c=2pir
divide both sides by 2
34.54=pir
divide both sides by pi
34.54/pi=r
sub that

a=pir^2
a=pi(34.54/pi)^2
a=(34.54^2)/pi
a=(34.54)/3.14
a=379.94

area of rug is 379.94 square inches
DochEvi [55]3 years ago
4 0
<span>The answer to your question would be </span><span>216.9112</span>.
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Selected value of each decimel number when it is rounded to the nearest whole number ​
PtichkaEL [24]

Answer:

  1. 5
  2. 6
  3. 6
  4. 5

Remember the decimal <em>hundredths</em> rounding ruleset.

  • If a decimal is below .50, round down.
  • If a decimal is .50, round up.
  • If a decimal is above .50, round up.

View this array below to get a better image.

\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

6 0
2 years ago
Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
LenaWriter [7]
Easy peasy


the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))



A.

section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24

section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216



section A has an average rate of change of 24
section B has an average rate of change of 216
3 0
3 years ago
Multiply, (2x^4-3y^2)(x^2+5y^4)
Ad libitum [116K]
10x^4y^4+2x^6-15y^6-3x^2y^2
7 0
3 years ago
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What is the quotient of 75 divided by 5
Sav [38]

Answer:

15

Step-by-step explanation:

75/5 equals 15

this that when 15 is multiplied 5 times, it equals 75

therefore the answer is 15

7 0
2 years ago
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Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
3241004551 [841]

Answer:

There is sufficient evidence that fuel economy goal has been attained.

Step-by-step explanation:

The hypothesis :

H0 : μ < 30.2

H1 : μ ≥ 30.2

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 32.12 ; s = 4.83 ; n = 50

Test statistic :

(32.12 - 30.2) ÷ (4.83/√(50))

1.92 ÷ 0.6830651

T = 2.811

Using the Pvalue from test statistic calculator :

Since we used the sample standard deviation, we use the T distribution

df = n - 1 = 50 - 1 = 49

Pvalue(2.811, 49) ; one tailed = 0.00354

At α = 0.05

Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained

4 0
3 years ago
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