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bija089 [108]
4 years ago
15

The diagram below shows a sandbox and the frame that

Mathematics
1 answer:
Mashutka [201]4 years ago
3 0

Answer:

8x+16  ft^2

Step-by-step explanation:

First we find the total area of the large rectangle

A = l*w

A = (x+3) * (x+5)

FOIL

A = x^2 +5x+3x+15

A = x^2 +8x+15

Now we find the area of the inner rectangle

A = lw

A = (x+1) (x-1)

FOIL

A = x^2 -x+x -1

A = x^2 -1

To find the shaded area, take the large rectangle and subtract the small rectangle

x^2 +8x+15 - (x^2 -1)

Distribute the minus sign

x^2 +8x+15 - x^2 +1

Combine like terms

8x+16

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crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

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3 years ago
Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The boat rental costs $1.50 for every 15 minutes.
dem82 [27]

Answer:they would pay a total amount of $9

Step-by-step explanation:

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The number of hours for which they rented the boat would be

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Converting to minutes, It becomes

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What is the word form of 348500
Roman55 [17]
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Hope this helps!
7 0
3 years ago
Evaluate the expression
Marrrta [24]
The answer would be 16

11 + (8-3)^2 - 20 = 16
3 0
3 years ago
I need to know how to set up this problem. Please help
ELEN [110]

your total would be $10 and you have 1 variable. so it would be ($2x) for the pounds of veggies, plus the 3.50 for the basket, equals $10. then solve for X from there

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4 years ago
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