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Katyanochek1 [597]
2 years ago
5

PLEASE ANSWER ASAP WILL GIVE BRAINLIEST!!!!!!!!

Mathematics
2 answers:
Temka [501]2 years ago
8 0

Answer: 32 inches by 64 inches

Step-by-step explanation:

(3/8) × 32 = 12

(3/8) × 64 = 24

32 inches by 64 inches

Alex Ar [27]2 years ago
3 0

Answer: c. is corect

hope this helps

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A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the
kramer

Answer:

18.73ft^3

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top=(side)^2=x^2

Area of one side face=l\times b=xy

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box=V=lbh=x^2y

Total cost=9(x^2)+5x^2+4(4xy)=14x^2+16xy

204=14x^2+16xy

204-14x^2=16xy

y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}

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Differentiate w.r.t x

V'(x)=\frac{1}{8}(102-21x^2)=0

V'(x)=0

\frac{1}{8}(102-21x^2)=0

102-21x^2=0

102=21x^2

x^2=\frac{102}{21}=4.85

x=\sqrt{4.85}=2.2

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

V''(x)=\frac{1}{8}(-42x)

Substitute the value

V''(2.2)=-\frac{42}{8}(2.2)=-11.55

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value  of x

y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft

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5 0
3 years ago
What is the area of a equilateral triangle with a height of 7 yards?
Andrej [43]
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3 years ago
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qwelly [4]

Answer:

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Step-by-step explanation:

<u>Angles And Parallel Lines </u>

If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary

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4x-3=65

Operating

4x=65+3=68

x=\frac{68}{4}=17

So the value of the angle x is 17°

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The area of a rectangle is equal to its length times its width. If the area of a rectangle
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d

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