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3 years ago

Help mee plzz :))tyy

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Step-by-step explanation:

Given prism has:

Length = 5 in, width = 4 in & height = 6 in

Surface area of prism

$2(lw + wh + lh) \\ = 2(5 \times 4 + 4 \times 6 + 5 \times 6) \\ = 2(20 + 24 + 30) \\ = 2 \times 74 \\ = 148 \: {in}^{2} \\$

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

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

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

7 0

2 years ago

Mathhhhhhh testtttt Add a statement, equation and concluding statement

Tom [10]

Answer:

Charlene earns $700 per week

Kristi earns $550 per week

Sascha earns $800 per week

Step-by-step explanation:

Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.

Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.

The next step here is to put the variables on one side and to put the numeric values on the other.

2k+s=1900

Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.

2(s-250)+s=1900

2s-500+s=1900

3s=2400

s= 800

We now have Sandra's weekly pay, which we can use to find the others' pay.

c= s-100

c= 800-100

c= 700

k= c-150

k= 700-150

k= 550

7 0

2 years ago

Which angles are supplementary to eachother

Harman [31]

Answer:

14 and 15

Step-by-step explanation:

6 0

2 years ago

He figure is rotated counterclockwise. Which rotation could have taken place?

ruslelena [56]

Answer:

a 90° rotation

I'm not sure about answer...

7 0

3 years ago

How much money is needed to buy 1/4 pound of butter at $.92 a pound, 4 pounds of sugar at $.24 a pound, and 6 eggs at $.72 a doz

gayaneshka [121]

Answer:

E. None of these

Step-by-step explanation:

1/4 of a pound of butter costs $0.23

4 pound of sugar costs $0.96

6 eggs costs $0.36

Add those together, and you get $1.55

5 0

2 years ago