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mote1985 [20]
3 years ago
5

The length of a rectangle is twice its width. if the area of the rectangle is 200 yd2 , find its perimeter.

Mathematics
2 answers:
Lorico [155]3 years ago
7 0
Width: x
Length: 2x
Area=x(2x)=2x^2
2x^2=200
x^2=100
x=10 or -10(reject as x>0) [width cannot be less than 0, doesnt make sense]
Perimeter
=x+x+2x+2x
=6x
=6(10)
=60 yd
castortr0y [4]3 years ago
6 0
The answer to this question is 60yd

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Nadya [2.5K]

Answer: no solution or zero solutions.

Step-by-step explanation:

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3 years ago
If there were 45 cars In a line that stretched 454 feet, what is the average car length?
jolli1 [7]

45 cars=454

Divide 45 on both sides to get the average length of a single car

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2 years ago
For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
Erin is making fruit salad.For each bowl of fruit salad,she needs 2/3 cup of strawberries.How many cups will she use if she make
grigory [225]
She needs 18 times of 2/3 cup, this is

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5 0
3 years ago
Read 2 more answers
Tracy is filling the box with unit cubes that are 1 inch on each side. She will fill the box with cubes without any gaps or over
balu736 [363]

Answer:

Volume = 48in^3

Step-by-step explanation:

Given

See attachment for box

Required

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So, from the attachment

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5 0
3 years ago
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