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AlekseyPX
3 years ago
9

A room decorator wants to purchase fabric. Each yard of fabric costs $2.90. Write a rule for the cost of the fabric. Let c equal

the total cost and f equal the number of yards of fabric.
Mathematics
1 answer:
STatiana [176]3 years ago
8 0
Expression: 2.90f = c
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Find the compunt intrest on rs 31250 at 12 % per annum for 12 1/2 years
postnew [5]

Answer:

<h2>$128847</h2>

Step-by-step explanation:

given Principle at 31250

and rate = 12%

and time 12.5 years

the amount would be given by the equation

P(1+\frac{rate}{100})^{time}

plug in values to get

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50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle
aalyn [17]

Answer:

EF=4\sqrt{3}

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

A_{\text{rect}}=8(6)=48\text{ cm}^2

The area of the triangle is 1/4 of this. Therefore:

\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

\displaystyle 12=\frac{1}{2}(DE)(DF)

Since DE = DF:

24=DF^2

Thus:

DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

(DE)^2+(DF)^2=(EF)^2

Therefore:

(2\sqrt6)^2+(2\sqrt6)^2=EF^2

Square:

24+24=EF^2

Add:

EF^2=48

And finally, we can take the square root of both sides:

EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
Get it right and ill paypal 25$ if ur fast
Lady bird [3.3K]

ight what do i gotta answer tho

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2 years ago
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