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3 years ago

what is the first step?

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Changing the cos to sin from the following identity cos x ^2 + sin x ^2 =1

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The area of a rectangular wall of a barn is 192 sq. Ft. It's length is 8 ft. Longer than twice it's width. Find the length and w

Novay_Z [31]

Answer: length = 24 ft

Width = 8 ft

Step-by-step explanation:

Let L represent the length of the barn.

Let W represent the width of the barn.

The area of a rectangular wall of a barn is 192 sq. Ft. This means that

LW = 192- - - - - - - - - - - - - - -1

It's length is 8 ft longer than twice it's width. This means that

L = 2W + 8

Substituting L = 2W + 8 into equation 1, it becomes

W(2W + 8) = 192

2W² + 8W = 192

2W² + 8W - 192 = 0

Dividing through by 2, it becomes

W² + 4W - 96 = 0

W² + 12W - 8W - 96 = 0

W(W + 12) - 8(W + 12) = 0

(W - 8)(W + 12) = 0

W = 8 or W = - 12

Since the width cannot be negative, then W = 8

L = 192/W = 192/8

L = 24

6 0

2 years ago

At what rate would you need to invest $12000 and make $2880 after 8 years?

Nady [450]

Answer:

Step-by-step explanation:

5 0

2 years ago

A is the midpoint of BC. BA = 3x+8 AC=23. solve for x

AnnyKZ [126]

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

7 0

3 years ago

Read 2 more answers

In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

4 0

3 years ago

Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They

bonufazy [111]

Answer:

D.) $115

Step-by-step explanation:

9.95 x 4 = 39.8

12.95 x 2 = 25.9

15.95 x 2 = 31.9

39.8 + 25.9 + 31.9 = 97.6

97.6 x 0.18 = 17.568

97.6 + 17.568 = 115.168

115.168 ≈ 115

3 0

2 years ago

Read 2 more answers

￼what is the first step?

what is the first step?