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2 years ago

Need help.................

Mathematics

1 answer:

sergeinik [125]2 years ago

5 0

First set up a proportion
240/160 = 320/200
Cross multiply and if the left equals the right it is similar.

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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

Help please simplify: 4(3b)

Aleonysh [2.5K]

Answer: 12b

Step-by-step explanation: you multiply 4 by 3 but keep the b

8 0

2 years ago

Read 2 more answers

Pls can some help me

maxonik [38]

-4.75= z/2

Multiply both sides by 2

-4.75(2)= z/2(2)

Cross out 2 and 2, divide by 1 and becomes z

z=-9.5

Answer: z= -9.5

7 0

2 years ago

Read 2 more answers

Kayla buys two pairs of jeans for j dollars each and one shirt for 15 dollars. she has 60 dollars to spend. The equation 2j+ 15-

weeeeeb [17]

Kayla buys two pairs of jeans for j dollars each and one shirt for 15 dollars. The cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents)

From the given information

Let the cost of two pairs of jeans be 2j
The cost of 1 shirt = 15
Total amount to spent = $60

∴

The equation is said to be expressed as:

2j + 15 - 60 = 0

Collect like terms

2j = 60 - 15
2j = 45

Divide both sides by 2

$\mathbf{\dfrac{2j}{2}= \dfrac{45}{2}}$
j = 22.5

Therefore, we can conclude that the cost of one pair of jeans is $22.5 (twenty-two dollars and fifty cents).

Learn more about cost here:

brainly.com/question/13910351?referrer=searchResults

5 0

2 years ago

Find the area of this shape

Korolek [52]

Answer:

1496π square meters

Step-by-step explanation:

A=2πrh+2πr²

=2π(17)(27)+2π(17)²

= 918π + 578π

=1496π

6 0

2 years ago