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4 years ago

Use the graph and the translation (x,y) (x+1,y+4) to answer parts a and b below

Mathematics

1 answer:

ladessa [460]4 years ago

5 0

Answer:

R’=(6,0)

S’=(4,-4)

T’=(3,4)

V’=(1,0)

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Question 5 (2 points)

ollegr [7]

Answer:

c cuh

Step-by-step explanation:

(idk the answer)

4 0

3 years ago

A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

antoniya [11.8K]

Answer:

180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size

4 0

3 years ago

1. Write the angles in order from smallest to largest 45 40.5 R P 57

algol13

Hello!! :D

Answer: 40.5, 45, 57

Hope this helps! Have a wonderful day! :D

7 0

3 years ago

The distance d traveled by a train varies directly as the time t that it travels. The train travels 60 km in 1/2 hr. How far wil

wel

Answer:

I will probably travel around

3 0

3 years ago