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3 years ago

7

The length of a rectangle is 1 units less than the width. The area of the rectangle is 20 units. What is the width, in units, of

the rectangle?

1 answer:

Degger [83]3 years ago

5 0

Answer:

5

Step-by-step explanation:

20 has many factors, including 4&5.

4 is one less than 5, so 4 is the length and 5 is our width.

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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.

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3 years ago

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Answer:

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Step-by-step explanation:

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expeople1 [14]

Answer:

The correct answer is 16w.

Step-by-step explanation:

w = 1w

1⋅w⋅16 =

1⋅1w⋅16 =

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Therefore, the correct answer is 16w.

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2 years ago

How to slove 7 - w = 2.2

vova2212 [387]

Subtract 2.2 from 7 and that will be equal to w

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oee [108]

Answer:

6.25 would be the answer I believe but I don’t know your choices

Step-by-step explanation:

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