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3 years ago

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I need help with this problem

1 answer:

Misha Larkins [42]3 years ago

4 0

I think first 80 and second 90

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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

4 years ago

Read 2 more answers

you are traveling on a bus to camp, which is 200 miles away, at 50 mph. the number of miles, n, that you have to travel after t

ruslelena [56]

Answer:

Step-by-step explanation:

the answer is 4 hours mark me brainliest pls

3 0

3 years ago

Which recursive formula can be used to represent the sequence 2,6,10,14,18,...??? Help ASAP!!!!!

WINSTONCH [101]

We have the sequence 2, 6, 10, 14, 18, ... Always 4 being added, so we can say:

The first term is 2. The added is 4, so,

a1 = 2

$a_n=a_{n-1}+4$

Prove:

$a_2=a_{2-1}+4 => a_2=a_1+4=>a_2=2+4=6$

3 0

4 years ago

Read 2 more answers

The dance committee hired a DJ for the fall dance. The DJ charges

boyakko [2]

Answer: 4 hours

Step-by-step explanation:

4 Hours

Explanation:

Make h = hours

You add the $55 extra cost for the assistant

$125h + $55 = $555

Use additive inverse to isolate the term with the variable

$125h + $55 - $55 = $555 - $55

Use multiplicative inverse to isolate the variable

$\frac{125h}{125}$ = $\frac{500}{125}$

Hours would be: 4 Hours.

I hope this helps! Please mark brainliest.

7 0

2 years ago

Multiplying - make sure your answer is in fraction form.

IceJOKER [234]

Answer:

Multiplying - make sure your answer is in fraction form.

1.4 x 0.8 = 28/25

2.3 x 1.8 =207/50

2.37 x 1.2 =721/250

6 0

3 years ago