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2 years ago

Cover the costs:

Mathematics

1 answer:

Sergio039 [100]2 years ago

4 0

Answer:

D. 1,044 is the total amount of money Mrs. Smith collected

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The perimeter of the triangle below is 73 units. Find the value of x.

Evgesh-ka [11]

Answer:

3x+4x-1+x+2=73

8x+1=73

8x=73-1

8x=72

8x/8=72/8

x=9

6 0

1 year ago

Read 2 more answers

Which equation has 1 solution?

ser-zykov [4K]

Well, we can eliminate the first 2 options as an absolute value of either a positive or negative number will yield a positive number. The absolute value of 0 is 0. This there is only 1 solution for this, and that is 0. The solution would be C.

It can't be D, because in both cases the absolute value of -1 and 1 will be 1 and thus there are 2 solutions, -1 and 1.

5 0

3 years ago

Two points are located at (2,3) and (8,−5). Complete the equations below to show how you can use the Pythagorean theorem to find

ad-work [718]

Answer:

<h2>first blank:</h2><h2>c=sqrt(a^2+b^2)</h2><h2>second blank:</h2><h2>c=sqrt((8-2)^2+(-5-3)^2)</h2><h2 />

Step-by-step explanation:

c^2=a^2+b^2

sqrt(c^2)=sqrt(a^2+b^2)

c=sqrt(a^2+b^2)

c=sqrt((x2-x1)^2+(y2-y1)^2)

c=sqrt((8-2)^2+(-5-3)^2)

7 0

2 years ago

The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms?

wel

Answer:

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

7 0

2 years ago

Read 2 more answers

A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng

chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3 $\sqrt$ 3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3 $\sqrt$ 3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3 $\sqrt$ 3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3 $\sqrt$ 3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48 $\sqrt$ 3]

Divide both sides by 0.04

275 = 24l + 48 $\sqrt$ 3

Subtract 48 $\sqrt$ 3 from both sides

24l = 275 - 48 $\sqrt$ 3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm