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Sergeu [11.5K]
3 years ago
8

I need help with number 3 ‍♀️ I really need help with parallelograms over all plus my quiz is Thursday. Any help and can anybody

explain this in a way so I can understand?

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

c. 90

Step-by-step explanation:

The diagonals in a rhombus meet to form 90 degree angles.  This means all the angles in the center are 90 degrees

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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.

3 0
3 years ago
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asambeis [7]

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The usual price of the gift is $29.00

Marie will get 30% DISCOUNT on this price if she uses her coupon. So, the final price would be 30% less than $29.00

First, we need to find 30% of $29.00. Then we need to subtract that from original price (29).

Convert percentage to decimal first:

30% = 30/100 = 0.3

Now multiply this with 29 to get:

0.3 * 29 = $8.70

We subtract this from original price to get DISCOUNTED PRICE:

$29.00 - $8.70 = $20.30

6 0
3 years ago
Laura is bowling 5 games. Her first 4 scores were 118, 128, 124, and 98. To end up with an average score of at least 123.2, what
BartSMP [9]

Answer:

148

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8 0
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mezya [45]

Answer:

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Step-by-step explanation:

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Therefore volume of the sphere is 1.13\times 10^{-4}m^3

6 0
3 years ago
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