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3 years ago

Find the area of a triangle with the vertices a(0,2), b(8,2), and C(4-3)

2 answers:

4 0

Height of the triangle with AB as base = 2 – (–3) => 5

<span>Area = (1/2) * base * height => (1/2) * 8 * 5 ==> 20 sq. units. </span>

Dimas [21]3 years ago

3 0

First, consider (0,2) and (8,2). The y-value is the same for both points. x ranges from 0 to 8, so the length of this horizontal side of the triangle is (8-0), or 8.

Again, this horiz. side has a y-value of 2.
The third point is (4,-3). Therefore the vertical distance from the horizontal line to the third point is 2 - (-3), or 5.

Thus, the "base" of the triangle is 8 and the "height" is 5.

The area is A = (bh)/2. Substitute the values 8 and 5. Simplify your result. Answer: 20 square units.

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Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A = 0.7793

Aleksandr [31]

The measure of acute angle A to the nearest tenth of a degree is 51.2°

<h3>Measure of angles</h3>

From the given information, we are to determine the measure of the angle.

The angle we are to determine its measure is acute angle A

From the given information, we have that

sin A = 0.7793

Thus,

A = sin⁻¹(0.7793)

Using calculator

A = 51.1965°

A ≅ 51.2°

Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°

Learn more on Calculating measure of angles here: brainly.com/question/9171516

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7 0

1 year ago

Which best describes a number that cannot be irrational

vazorg [7]

Am irrational number is a number that cannot be expressed as a fraction for any integers. numbers of the form,where is the logarithm, are irrational if and are integers, one of which has a prime factor which the other lacks. is irrational for rational

8 0

3 years ago

Read 2 more answers

Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?

Serggg [28]

Answer:

Yes

Step-by-step explanation:

As long as the slopes of these two lines are not the same, they will intersect.

Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.

Slope of 1st line: $\frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}$

Slope of 2nd line: $\frac{-6-2}{-1-1} =\frac{-8}{-2}=4$

The slopes are not equal, therefore the lines intersect.

5 0

2 years ago

Root 8 + 3 root 32 - root 50

lisov135 [29]

$\sqrt{8} + 3 \sqrt{32} - \sqrt{50}$

$= \sqrt{4 \times 2} + 3 \sqrt{16 \times 2} - \sqrt{25 \times 2}$

$= 2\sqrt{ 2} + 12 \sqrt{2} - 5\sqrt{ 2}$

$= 9\sqrt{ 2}$

6 0

3 years ago

Michael made 9/12 of his free throws at practice. What is 9/12 in simplest form?

riadik2000 [5.3K]

It would be 0.75 as a decimal or 3/4

4 0

3 years ago

Read 2 more answers