What is the area of this triangle in coordinate plane

Mathematics

2 answers:

Paul [167]2 years ago

7 0

base = 4

height = 3

area = base*height/2

area = 4*3/2

area = 12/2

<h3>area = 6, so the answer is choice B</h3>

mina [271]2 years ago

6 0

Answer:

Step-by-step explanation:

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

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

here b = 4 and h = 3, hence

A = $\frac{1}{2}$ × 4 × 3 = 6 units ² → B

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m∠AOB = 6x + 5, m∠BOC = 4x - 2, m∠AOC = 8x + 21

AnnZ [28]

The sum of angle AOB and angle BOC is equal tot he angle of AOC so

6x+5 +4x-2 = 8x+21

10x+3=8x+21

Subtract three and 8x from both sides

2x=18

Divide by two

x=9

Hope this helped!

6 0

3 years ago

A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample

marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.8982