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Luden [163]
3 years ago
10

Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary)

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Answer:

x = 5\sqrt{3}

Step-by-step explanation:

Using the tangent ratio in the outer right triangle

and tan30° = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}

tan30° = \frac{opposite}{adjacent} = \frac{x}{15}

Multiply both sides by 15

15 × tan30° = x

x = 15 × \frac{\sqrt{3} }{3} = 5\sqrt{3}

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The correct answer should be 4. 2 times 0.3 is 0.6. 3.4 plus 0.6 equals 4. ;)
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2 years ago
Simplify the following expression into the form a + bi, where a and b are rational numbers.
vagabundo [1.1K]
The answer is -16 - 10i.

Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
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Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
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Since we know that i = -1,
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7 0
3 years ago
Read 2 more answers
Whatbnis made up of a whole number and a fraction
andrew-mc [135]
A mixed fraction... is made out of a whole number and a fraction.   3 7/10
8 0
3 years ago
Ok needed asap and likee go in order
Ksenya-84 [330]

Answer:

4. A

5. B

6. C

Step-by-step explanation:

4.

In total there are 12 possible shakes.

The combinations are:

ice cream - pineapple - peanuts

ice cream - pineapple - granola

ice cream - strawberry - peanuts

ice cream - strawberry - granola

ice cream - banana - peanuts

ice cream - banana - granola

yogurt - pineapple - peanuts

yogurt - pineapple - granola

yogurt - strawberry - peanuts

yogurt - strawberry - granola

yogurt - banana - peanuts

yogurt - banana - granola

Therefore the chance is 1/12 for the combination ice cream, pineapple and granola.

5.

To find the total possible outcomes, count the last value in the tree diagram. There are 8 possible outcomes.

6.

Find the total number of balls by adding each of the colours.

1 + 3 + 8 = 12

There is 1 red ball. The probability of getting a red ball out of the total is 1/12.

The probability in words ordered in comparison to the fractions:

impossible-----unlikely------------likely-------------certain

0/12------------ 1/12--5/12--------7/12---11/12----------12/12

Since 1/12 is between 1/12 and 5/12, the possibility is unlikely.

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3 years ago
Kit pays an annual premium of $1,575 for automobile insurance, including comprehensive coverage of up to $750,000. He pays this
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29850. 14 x 1575 is how much he paid. Subtract that from the cost of the car ($51900). 51900 -22050 = 29850
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