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4 years ago

WILL MARK BRAINLIEST!

Mathematics

2 answers:

Alla [95]4 years ago

7 0

Answer:

Step-by-step explanation:

There is not enough information to determine congruency. The corresponding angles are congruent, but angle measures do not affect side lengths. For example, a 45-45-90 right triangle could have side measures of 1, 1, √2 and another 45-45-90 right triangle could have side measures of 2, 2, 2√2. They are both special right triangles, but they are not congruent until you know some side lengths. You can only say these are similar.

Genrish500 [490]4 years ago

5 0

Answer:

D) There is not enough information to determine congruency would be Ur best choice.

Step-by-step explanation:

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16% of what equals 44?

Tatiana [17]

44 is 16% of 275. 275 times 0.16 is 44

3 0

3 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

WILL GIVE BRAINLIEST

Virty [35]

You need to find circumference, so you would multiply the diameter by pi. So your answer is 212pi feet or 666.02 feet

6 0

3 years ago

PLEASE HELP PLEASE 9. A lake has an average depth of 4 feet. A new dam has just been completed, and the average depth of the lak

hoa [83]

Answer:

Step-by-step explanation:

I had the same question

6 0

3 years ago

Solve the system of equations using subtraction. Equation 1: 3x-2y= -2 Equation 2: 3x + y = 10 The solution is (? ,?) HURRY PLEA

Art [367]

Answer:

the solution is x = 2 and y = 4 OR (2,4)

Step-by-step explanation:

From the question

Equation 1: 3x-2y= -2

Equation 2: 3x + y = 10

Subtract equation 1 from equation 2, that is

3x + y = 10 - (3x -2y = -2)

You get

3x - 3x + y - (-2y) = 10 - (-2)

0 + y + 2y = 10 + 2

3y = 12

Divide both sides by 3

∴ y = 12/3

y = 4

Substitute the value of y into equation 2 to get x

3x + y = 10

3x + 4 = 10

Then,

3x = 10 - 4

3x = 6

Divide both sides by 3

∴ x = 6/3

x = 2

Hence, the solution is x = 2 and y = 4

5 0

3 years ago