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Georgia [21]
3 years ago
10

The length of a rectangle is 10 yd less than three times the width, and the area of the rectangle is 77 yd^2. Find the dimension

s of the rectangle.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

W=7 and L=11

Step-by-step explanation:

We have two unknowns so we must create two equations.

First the problem states that  length of a rectangle is 10 yd less than three times the width so: L= 3w-10

Next we are given the area so: L X W = 77

Then solve for the variable algebraically. It is just a system of equations.

3W^2 - 10W - 77 = 0

(3W + 11)(W - 7) = 0

W = -11/3 and/or W=7

Discard the negative solution as the width of the rectangle cannot be less then 0.

So W=7

Plug that into the first equation.

3(7)-10= 11 so L=11

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A slice is made perpendicular to the base of a right rectangular prism as shown.
Eduardwww [97]

Answer:

The correct option is 1. The area of cross section area is 48 mm².

Step-by-step explanation:

From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.

The area of a rectangle is the product of its dimensions.

A=l\times w

Where, l is length of the rectangle and w is width of the rectangle.

The area of cross section is

A=4\times 12

A=48

Therefore the area of cross section area is 48 mm². Option 1 is correct.

8 0
3 years ago
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
dusya [7]
In this question weight of a flea and an ant is given, but their units are different. So comparing and finding out the weight of flea and ant would be difficult. First thing that needs to be done is to bring the units of both the flea and the ant under same unit.
Weight of flea = 8 decigrams
Weight of ant = 3 milligrams.
Now let us convert the weight of the flea from decigrams to milligrams.
We already know that
1 decigram = 100 milligram
Then
8 decigrams = 100 * 8 milligrams
                     = 800 milligrams
Then
The weight by which the flea is greater than the ant = (800 - 3) milligrams
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So the flea weighs 797 milligrams more than the ant.

5 0
3 years ago
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How does the length of the hypotenuse ina right triangle relate to the lengths of the legs?
Simora [160]
I am pretty sure it is "D"
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3 years ago
Tracy packages snack mix at a grocery store. She uses 1/5 of her supply of peanuts to make a trail mix and 3/5
Usimov [2.4K]

Answer:

she'll use in total 1/5 + 3/5 = 4/5 from her 16 pounds of peanuts so 4/5 * 16 = 12.8

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I really need help would please like help thanks
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The reciprocal of a whole number N is "1 over" that number \frac{1}{N}.

10/9
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8 0
3 years ago
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