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3 years ago

Solve for x. Round your answer to the nearest tenth.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

1. x = 11.5

2. x = 14.35

Step-by-step explanation:

$1. \: sin(angleBAC) = \frac{BC}{AB}$

$sin(35°) = \frac{x}{20}$

x = 11.472 ≈ 11.5

$2. \: tan(angleBAC) = \frac{BC}{AB}$

$tan(64°) = \frac{x}{7}$

x = 14.352 ≈ 14.35

HOPE THIS HELPS AND HAVE A NICE DAY <3

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ElenaW [278]

Answer:

P=0.0899.

Step-by-step explanation:

We know that are 5 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement. We calculate the probability that exactly 3 black balls are drawn.

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We calculate the number of possible combinations:

$C_4^{14}=\frac{14!}{4!(14-4)!}=1001\\$

We calculate the number of favorable combinations:

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Therefore, the probability is:

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3 years ago

1/3 of a gallon of chocolate sauce is divided equally between 5 chocolate sundaes. How much chocolate sauce is on each sundae? A

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Answer:

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Step-by-step explanation:

It's just:

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3 years ago

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3 years ago

Read 2 more answers

What is the volume of the triangular prism to the nearest whole unit?

kolbaska11 [484]

Answer: $V=588\ ft^3$

Step-by-step explanation:

You need to use the following formula to calculate the volume of Triangular prism:

$V=ah$

Where "a" is the area of one triangular base and "h" is the height of the triangular prism.

Calculate "a" with this formula:

$a=\frac{bH}{2}$

Where "b" is the base of the triangle and "H" is the height.

In this case:

$b=14\ ft\\H=4\ ft$

Then, substituting values, you get that the area is the following:

$a=\frac{(14\ ft)(4\ ft)}{2}\\\\a=28\ ft^2$

Finally, you must substitute values into the formula for calculate the volume of the triangular prism, and you also must substitute $h=21\ ft$ , which is its height:

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4 0

3 years ago

Which ordered pair makes both inequalities true?y > –2x 3y < x – 2?

grin007 [14]

Whatever your choices are, just substitute the x and y values to the equations. If they satisfy the inequality, then they are the solutions. For example, point (7, 1) satisfies the inequalities.

y > -2x
1 > -2(7)
1 > -14 (true)

3y < x – 2
3(1) < 7 - 2
3 < 5 (true)

I hope I was able to help you. Have a good day.

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3 years ago