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fenix001 [56]
3 years ago
7

Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

\frac{21}{2} units²

Step-by-step explanation:

D and E lie on the x- axis and F is vertically below D

The triangle formed is right at D with legs of length 3 and 7

The area (A) of a right triangle is found using the formula

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

here b = 3 and h = 7, hence

A = \frac{1}{2} × 3 × 7 = \frac{21}{2} units ²

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Tresset [83]

The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

We are given the universal set as:

U = {2, 4, 6, 8, 10, 12, 14, 16}

We are also given that set A is:

A = {6, 10, 14}

We need to find A'

For this, we will subtract set A from the universal set, U.

So, we get that:

A' = U - A

A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}

Solving the expression, we get that:

A' = {2, 4, 8, 12, 16}

Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

Learn more about sets here:

brainly.com/question/2166579

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1 year ago
Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
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Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

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Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

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