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4 years ago

the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?

Mathematics

1 answer:

Alisiya [41]4 years ago

8 0

Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

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Question 3 please :) (exact values)

Travka [436]

Answer:

(a) h = 160 - 5·x

(b) V = 4·x² × h = 4·x² × (160 - 5·x) = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x)

Step-by-step explanation:

(a) The given dimensions of the cuboid (rectangular prism) are;

'4·x' meters by 'x' meters by 'h' meters

Let the 4·x meters represent the length, 'l', of the cuboid, let the x meters represent the width, 'w', of the cuboid, and let the h meters represent the height 'h' of the cuboid

Therefore, we are given that the cuboid is a wire cage, with the total length of the sides (edges) of the cuboid equal to 640 meters

Therefore, the sum of the edges are;

Top(4·x + x + 4·x + x) + Side(h + h + h + h) + Bottom(4·x + x + 4·x + x) = 640

20·x + 4·h = 640

∴ h = (640 - 20·x)/4 = 160 - 5·x

h = 160 - 5·x

(b) The volume of a cuboid, V, is given as follows;

V = The area of the base of the cuboid × The height of the cuboid

The area of the base of the cuboid = l × w = 4·x × x = 4·x²

The height of the cuboid = h = 160 - 5·x

∴ V = 4·x² × (160 - 5·x) = 640·x² - 20·x³

V = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x) QED.

8 0

3 years ago

A mathematical phrase represented by numbers, variables, and operations is a(n)

blondinia [14]

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

5 0

3 years ago

Read 2 more answers

Mr. Hinckley owns 83 acres of land, he divides the land into eight equal sections to sell to eight buyers which phrase describes

anygoal [31]

Alright, lets get started.

Mr. Hinckley owns 83 acres of total land.

He divides the land into eight equal sections to sell to eight buyers.

It means, we could find the land each buyer receives by dividing total land by 8.

So, each buyer receives land = $\frac{83}{8}$

So, each buyer receives land = 10.375 acres

So, the answer is 10.375 acres lands received by each buyer. : Answer

Hope it will help :)

3 0

4 years ago

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Write an inequality for the graph A. x > -3 B. x < -3 c. x > -3 _

earnstyle [38]

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

5 0

4 years ago

Adding and subtracting intergers. FREE BRAINLIST AND POINTS!. WRONG OR SCAM ASNWERS WILL BE REPORTED AND DEALED WITH. RIGHT ANSW

s344n2d4d5 [400]

Answer:

1. 21

2. -22

3. -19

4. -17

5. -5

6. 11

7. 7

8. -9

9. -6

10. -20

11. -1

12. 20

13. -21

Step-by-step explanation:

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3 years ago

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