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2 years ago

Find the exact value of x using the rules of special right triangles. Show all of the work.

Mathematics

1 answer:

defon2 years ago

7 0

Using the given angle use the law of Sines:

sin(angle) = opposite leg / hypotenuse

sin(45) = X / 6

x = 6 * sin(45)

x = 6 * √2/2

x = 3√2

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In a survey of a community, it was found that 55%

ella [17]

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that $P(A) = 0.55$

20% like winter season

This means that $P(B) = 0.2$

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that $P(A \cup B) = 0.6$

Proportion who like both:

This is $P(A \cap B)$ . The measures are related by the following equation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cap B) = P(A) + P(B) - P(A \cup B)$

Using what we have

$P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15$

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

$0.15t = 750$

$t = \frac{750}{0.15}$

$t = 5000$

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

7 0

2 years ago

On a game show, you get to throw a dart at a circle of radius 50 inches. If you miss, you get to throw again until you hit the c

ratelena [41]

There is a Math website that has a lot of Calculus story problems. He shows you how to solve problems.
patrickjmt.com
also on Youtube;
Patrickjmt channel. The Yourmathgal channel is also good,
both have over 800
videos. Have gone to
both since 2011.

5 0

3 years ago

Use the quotient of negative numbers:

strojnjashka [21]

If you divide negative by positive it will be negative.
If you divide positive by negative it will be negative.
If you divide 2 negatives you get a positive.
I hope this helps :)

4 0

3 years ago

An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle?

ryzh [129]

a+b=90°

a=b+44°

b+44°+b=90°

2b+44°=90°

2b=90°-44°

2b=46°

b=23°

a=23°+44°