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2 years ago

Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The

Mathematics

1 answer:

dolphi86 [110]2 years ago

7 0

9514 1404 393

Answer:

sides: 12 feet
front: 28 feet

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

40 = 3x +4 . . . . . . . . divide by 2, collect terms

36 = 3x . . . . . . . . . subtract 4

12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

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3 years ago

How much will the taxi driver earn if he takes one passenger 4.8 miles and another passenger 7.3 miles? Explain your process.

Bezzdna [24]

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Step-by-step explanation:

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3 years ago

A portable CD player costs $48. How much is 25% of the cost

blsea [12.9K]

$x = 48 \times .25$
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2 years ago

What would the following equation look like in augmented matrix form? 2x+y=6 x-3y=-2

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2 years ago

HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

3 years ago