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3 years ago

Can someone please help me

Mathematics

2 answers:

Reptile [31]3 years ago

6 0

The answer is 36 degrees because 2x+2x+6x=10x
10x=180 degrees
x=18 degrees.
2x=36 degrees.

BabaBlast [244]3 years ago

5 0

First, we have to find what x equals. If all the angles add up to 180°, then we can make the equation 2x+2x+6x=180. If we combine like terms, the equation simplified to 10x=180. If we divided both sides by 10, we get that x=18. Now, we can plug in x in 2x to get 2(18). 2×18=36. Angle C is 36°!

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3 years ago

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A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the

lawyer [7]

The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram

<h3><u>Solution:</u></h3>

Given that carpenter bought 750 nails

Each nail has a mass of $5.2 \times 10^{-3}$ kilogram

To find: total mass, in kilograms of the nails bought

The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail

Number of nails bought = 750

Mass of each nail = $5.2 \times 10^{-3}$ kilogram

total mass of the nails bought = number of nails bought x mass of each nail

$\text {total mass of the nails bought }=750 \times 5.2 \times 10^{-3}$

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3 years ago

Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to

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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))

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Using the Pvalue from test statistic calculator :

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3 years ago

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o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

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S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

$\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9$

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$S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24$

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$S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36$

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

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likoan [24]

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3 years ago