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allsm [11]
3 years ago
7

The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th

is rectangle.
Mathematics
2 answers:
AveGali [126]3 years ago
8 0
Let \ell the length and w the width. By the ratio of the sides:

\dfrac{w}{\ell}=\dfrac{4}{7}\Longrightarrow \dfrac{w}{31.5}=\dfrac{4}{7}\Longrightarrow w=\dfrac{4\cdot31.5}{7}\Longrightarrow \boxed{w=18~in.}

Now, we'll find the perimeter p. We'll use the formula below:

p=2(\ell+w)\\\\
p=2(31.5+18)\\\\
p=2\cdot49.5\\\\
\boxed{p=99~in.}

The area of a rectangle is S=w\cdot\ell. Then:

S=w\cdot\ell\\\\
S=18\cdot31.5\\\\
\boxed{S=567~in.^2}
pav-90 [236]3 years ago
3 0

Answer:

width=18

Step-by-step explanation:

So im not gonna give you the full everything but you get the width by doing (4/7)31.5  and that equals you answer which in this case is 18

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Which function below is the inverse of f(x)= 3x+5/7
Ipatiy [6.2K]
Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x

so

f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3
\frac{y- \frac{5}{7} }{3}=x
replace with f⁻¹(x)

f⁻¹(x)=\frac{y- \frac{5}{7} }{3}
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A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​
Yuliya22 [10]

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

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Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

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