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snow_lady [41]
3 years ago
10

A rectangle is twice as long as it is wide, and has a perimeter of 48 inches, what is the area of the rectangle?

Mathematics
2 answers:
IceJOKER [234]3 years ago
5 0
Answer: A = 128 in^2

Explanation:
Assume:
X is the width
And 2x is the length

We know Perimeter = 48

P = 2(x + 2x) = 48
2x + 4x = 48
6x = 48
x = 8

Now we found the width which is 8
And the length is 2 times the width which is 8 x 2 = 16

Now that we have both length and width we can find the area

A = 16 x 8 = 128
Margarita [4]3 years ago
5 0

Answer:

  • 128 inches²

Step-by-step explanation:

P = 2w + 2l

l = 2w

48 = 2w + 2×2w

48 = 2w + 4w

48 = 6w

w = 48 : 6

w = 8 inches

l = 2w

l = 2×8inches

l = 16 inches

A = w×l

= 8in × 16in

= 128 inches²

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Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.
rjkz [21]

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

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3 years ago
Please help easy stuff.......
nataly862011 [7]

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So, for the first function, you have

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3 0
2 years ago
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The daily temperatures in fall and winter months in Virginia have a mean of 62°F. A meteorologist in southwest
marshall27 [118]

Answer:

,, assuming the true mean temperature 62 degrees Fahrenheit there is a 0.1% probability that the null hypothesis is true by chance alone

8 0
2 years ago
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Point D is in the interior of ∠ABC. What is m∠DBC?
Rudiy27

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

3 0
2 years ago
How many solutions does the equation x^2-9x=-8 have?
Elza [17]
X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
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x-8=0
x-8+8=0+8
x=8

x-1=0
x-1+1=0+1
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There are 2 solutions, which are 1 and 8 
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