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blsea [12.9K]
3 years ago
9

the width of the rectangle is 5 inches less than it's length, and the area is 84 square inches. what are the length and width of

the rectangle?
Mathematics
1 answer:
inysia [295]3 years ago
7 0
W= l - 5    where w = width and l = length

area = 84 = l*w = l(l-5)

l(l-5) = 84
l^2 - 5l - 84 = 0
(l - 12)(l  + 7) = 0 
l = 12 

length = 12 and width =  7 

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Please can someone help my assignment in math​
Zielflug [23.3K]

Answer/Step-by-step explanation:

1. B = 180 - (90 + 58) (sum of triangles)

B = 32°

Let's find a and b using trigonometric ratios:

Reference angle = 58°

Opposite = a = ?

Hypotenuse = c = 27

Adjacent = b = ?

✔️To find a, apply SOH:

Sin 58 = Opp/Hyp

Sin 58 = a/27

a = 27*Sin 58

a = 22.8972986 ≈ 22.9 (nearest tenth)

✔️To find b, apply CAH:

Cos 58 = Adj/Hyp

Cos 58 = b/27

b = 27*Cos58

b = 14.3 (nearest tenth)

2. B = 180 - (90 + 63) (sum of triangles)

B = 27°

Let's find a and b using trigonometric ratios:

Reference angle = 63°

Opposite = a = 11

Hypotenuse = c = ?

Adjacent = b = ?

✔️To find b, apply TOA:

Tan 63 = Opp/Adj

Tan 63 = 11/b

b = 11/Tan 63

b = 5.6 (nearest tenth)

✔️To find c, apply SOH:

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3 years ago
Which of the following square pyramids have a volume of 24 mm. choose all that apply
Norma-Jean [14]
The second and last one. 
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3 years ago
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aev [14]

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is <em>length</em> times <em>width, </em>times the height because it is a 3d object. <em>Length</em> times <em>width</em> is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

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3 years ago
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Blizzard [7]

Answer:

1/5

Step-by-step explanation:

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8 0
3 years ago
10 points to the person who answers this whole thing and I will mark you as brainliest.
olga2289 [7]

Answer:

Step-by-step explanation:

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