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marishachu [46]
3 years ago
10

the perimeter of a rectangle of a rectangular field is 76 ft. The length is 12 ft longer than the width. Find the fields dimensi

ons
Mathematics
1 answer:
timurjin [86]3 years ago
8 0
It’ll be length= 12ft width= 26ft
(76-24)/2= width
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Three times a number is six more than twice the number.
dexar [7]
The answer is
3x = 2x + 6

5 0
3 years ago
The low temperatures for a week in winter were -2° F, -15° F, -7° F, 1° F, -4° F, 5° F, 8° F. What was the average low
Novay_Z [31]

Answer: -2 F

Step-by-step explanation:

To find the average, or <em>mean, </em>of a data set, you must first combine all of the values in the set. Since some of these values are negative, it seems more difficult to solve. But it isn't. To find the mean of any data sets, you can find the absolute value of each numerical value. If you combine these regularly, it would be -15, but that is incorrect. The answer is -2 because some of the values may be negative, but you can find the answer easily. Just remember: To find the mean of data sets with negative values, you can find their absolute values, and solve from there. If this does not work for you, then find another solution. But the correct answer is -2 F.

3 0
3 years ago
Please help im confused
andre [41]

Answer:

The third one

Step-by-step explanation:

Since this is looking down on the cubes from above, I feel it is safe to assume that it is the third one.

From left to right, top to bottom:

3, 2, 2

2, 2, 1

2, 2, 1

We can see that all but 3 layers are 2 blocks high. The 3 block area is the top left corner, since it is 1 block higher than the 2 block areas, and the 1 block areas are the middle right and the bottom right areas.

4 0
3 years ago
A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=72,000+60x
myrzilka [38]

Answer:

Step-by-step explanation:

Given

Cost Price c(x)=72000+60x

Price p(x)=300-\frac{x}{20}

Revenue generated R(x)=P(x)\times x

where x=no of units

R(x)=300x-\frac{x^2}{20}

To get maxima and minima differentiate R(x)

\frac{\mathrm{d} R(x)}{\mathrm{d} x}=0

\frac{\mathrm{d} R(x)}{\mathrm{d} x}=300-2\times \frac{x}{20}=0

300=2\times \frac{x}{20}

x=3000

maximum Revenue R(x)=(300-\frac{300}{20})\times 300=4,50,000

(b)Profit=Revenue - cost

Profit=xp(x)-c(x)

Profit=300x-\frac{x^2}{20}-72000-60x

Profit(z)=240x-\frac{x^2}{20}-72000

differentiate Profit to get maximum value

\frac{\mathrm{d} z}{\mathrm{d} x}=240-2\times \frac{x}{20}

x=2400

maximum Profit z=2,16,000

(c)Now company decided to tax the company $ 55 for each set

Profit (z_1)=xp(x)-c(x)-55x

z_1=300x-\frac{x^2}{20}-72000x-60x^2-55x

z_1=185x-\frac{x^2}{20}-72,000

differentiate Profit to get maximum value

\frac{\mathrm{d} z_1}{\mathrm{d} x}=0

\frac{\mathrm{d} z_1}{\mathrm{d} x}=185-\frac{2x}{20}=0

x=1850

P(z_1\ at\ x=1850)=99125

company should charge 207.5 $ for each set

         

6 0
4 years ago
Angle A is in standard position and terminates in quadrant IV. If sec(A) = 4/3 , complete the steps to find cot(A).  Use the ide
Reptile [31]
We know that
tan²(A)+1 = sec²(A)--------> tan²(A)= sec²(A)-1
tan²(A)= (4/3)²-1------> tan²(A)=16/9-1-----> 7/9
tan²(A)=7/9
if the angle A is in the IV quadrant
then
tan (A) is negative
therefore
tan (A)=-√(7/9)-----> tan (A)=-√7/3
so 
cot (A)=1/tan(A)------> cot (A)=-3/√7----> -(3/7)*√7

the answers are
a) the identity is tan²(A)= sec²(A)-1
b) tan (A)=-√7/3
4 0
4 years ago
Read 2 more answers
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