Evaluate F=9/5C+32 for C = 35 degrees. 82 63 67 95

Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs

Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

$AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}$

$AB \approx 7.616$

BC

$BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}$

$BC \approx 6.325$

AC

$AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}$

$AC \approx 5.831$

Now we determine the area of the triangle by Heron's formula:

$A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}$ (1)

$s = \frac{AB+BC + AC}{2}$ (2)

Where:

$A$ - Area of the triangle.

$s$ - Semiparameter.

If we know that $AB \approx 7.616$ , $BC \approx 6.325$ and $AC \approx 5.831$ , then the area of the triangle is:

$s \approx 9.886$

$A = 18$

The area of the triangle is 18 square units.

7 0

2 years ago

What does X equal 9.6x − 15.4 = −4.4x − 11.2 A.) x = 0.3 B.)x=−0.3 C.) x = −3 D.) x = 3

sweet [91]

The answer is A) x=0.3

Step-by-step explanation:

Move all terms containing xx to the left side of the equation.

14x−15.4=−11.2

Move all terms not containing x to the right side of the equation.

14x=4.214x=4.2

Divide each term by 14 and simplify

x=0.3

3 0

2 years ago

Which table shows a proportional relationship and the correct amount of each ingredients

ollegr [7]

I am pretty sure that it is table one because each number from the original recipe to the teachers recipe is multiplied by three.

5 0

3 years ago

What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw?

polet [3.4K]

Answer:

2/10 on the first draw and 1/9 on the second draw

Step-by-step explanation:

In the first draw, 2 marbles are yellow out of 10, but on the second draw, you don't replace a yellow marble leaving 1 yellow marble out of 9 total marbles in the bag.

6 0

2 years ago

What is the center of the data?

satela [25.4K]

Answer:

$Median = 13$

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

$n = 13$ --- number of observation

So, the median is:

$Median = \frac{n + 1}{2}$

$Median = \frac{13 + 1}{2}$

$Median = \frac{14}{2}$

$Median = 7th$

The median is at the 7th position

At the 7th position, is 13

Hence:

$Median = 13$

5 0

2 years ago

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