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serious [3.7K]
3 years ago
10

What is the area of a triangle with vertices of (2,5),(4,-2) and (-2,0). Area= square units

Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer:

A=bh/2

Step-by-step explanation:

use the distance formula to find the length of the base and the height. Then, multiply those numbers and divide by 2

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An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):
AURORKA [14]

Answer:

2\ gal

Step-by-step explanation:

we know that

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

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

we have

A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)

step 1

Find the distance AB

we have

A(18,20),B(4,20)

substitute in the formula

d=\sqrt{(20-20)^{2}+(4-18)^{2}}

d=\sqrt{(0)^{2}+(-14)^{2}}

AB=14\ ft

step 2

Find the distance BC

we have

B(4,20),C(4,4)

substitute in the formula

d=\sqrt{(4-20)^{2}+(4-4)^{2}}

d=\sqrt{(-16)^{2}+(0)^{2}}

BC=16\ ft

step 3

Find the distance DE

we have

D(16.2),E(22.10)

substitute in the formula

d=\sqrt{(10-2)^{2}+(22-16)^{2}}

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

d=\sqrt{100}

DE=10\ ft

step 4

Find the distance AE

we have

A(18,20),E(22.10)

substitute in the formula

d=\sqrt{(10-20)^{2}+(22-18)^{2}}

d=\sqrt{(-10)^{2}+(4)^{2}}

d=\sqrt{116}

AE=10.77\ ft

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

A=(AB+BC+DE+AE)h

substitute the given values

The height of the walls is 10 ft

A=(14+16+10+10.77)10

A=(50.77)10

A=507.7\ ft^2

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal

Round up

x=2\ gal

5 0
3 years ago
–3x – 3 < –63 This is rlly needed.
NISA [10]
-3x -3 < -63 subtract the 3 first
-3x < -60 then divide the -3 from both sides
x < 20 is your answer
6 0
3 years ago
Describe what Pi is and explain how it is used in finding the circumference of a circle.
Softa [21]

Answer:

See below.

Step-by-step explanation:

Pi ( written as the Geek letter π) is a universal constant  found by dividing the circumference of a circle by it's diameter. So if you measure the diameter of a circle you can calculate it's circumference by multiplying by π.

Circumference = π * diameter.

It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.

8 0
3 years ago
Read 2 more answers
What does point A represent in this box plot?
Zigmanuir [339]
Point A means the smallest value (and = 4)

answer
<span>C. the smallest value</span>
3 0
3 years ago
Read 2 more answers
3packs of soda is 10 dollars less than 5 packs of soda equation
RideAnS [48]
Ok. so lets call the cost of each soda x. now, 3 packs of soda is 10 less than five packs of soda. so the price of 3 packs of soda is 3x, the price of five packs is 5x. now, it says that 3 packs is 10 less than five packs. that means that 3x=5x-10.
now, to find the price of a pack of soda, we have to isolate x.
add 10 to both sides to get 3x+10=5x. now, we subtact 3x on both sides to get 10=2x. divide by 2 on both sides, x=5. a pack of soda is 5 dollars
7 0
3 years ago
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