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Mademuasel [1]
3 years ago
8

In rhombus ABCD, AB=14 and AC=19. Find the area of the rhombus to the nearest tenth. A 190.7 B 228.3 C 195.4 D 179.8

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.

s = (a + b + c)/2

s = (14 + 14 + 19)/2 = 23.5

s - a = 23.5 - 14 = 9.5

s - b = 23.5 - 14 = 9.5

s - c = 23.5 - 19 = 4.5

=================

Area = sqrt(s * (s - a) * (s - b) * (s - c) )

Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)

Area = sqrt(9543,9)

Area = 97.69

But ABC is only 1/2 the rhombus. The area is twice that amount.

Area = 2 * 97.69 = 195.4

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Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

Probability( 2 Liquorice) = 12 / 20 * 11 / 19

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) =  3/20 * 2/19

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Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}

<u><em>Thus, the probability should be 111 / 190</em></u>

5 0
3 years ago
13 - 4x = 1 - x<br><br>Step by step please​
Virty [35]

Answer:

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Subtract 13 from both sides.

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Add x to both sides.

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Divide both sides by -3.

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3 0
2 years ago
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Which system of equations is represented by the graph?
Tom [10]

Answer:

C

Step-by-step explanation:

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So that puts us at choice A or C.

Both A or C differ by the numerator for the other function.

We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.

Let's do that:

A:  -x-10=0                           C.  -x+10=0

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A says x-intercept -10

C says x-intercept 10

Your graph intercepts the x-axis at 10 so the answer is C.

4 0
3 years ago
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Darya [45]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Answer:

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