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4 years ago

I need to find the area of this shape

Mathematics

1 answer:

inna [77]4 years ago

3 0

Answer:

If the shape is a polygon, the simplest way to find the area is to divide it into smaller parts that are easier to find the area of. For example, in a shape like this one:

Step-by-step explanation:

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What is the slope of the line that contains the points(1-1)and(-2,8)?

omeli [17]

We can use the formula y2-y1/x2-x1 to find slope given two points. Therefore, we have -1-8/-2-1, getting us -9/-3, or just 3. Hope this helps!

4 0

4 years ago

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A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length

Mila [183]

Volume of solid created = $85m^{3}$ .

<u>Step-by-step explanation:</u>

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube - Volume of rectangular prism

Volume of cube = $side^{3}$

⇒ $Volume1 = side^{3}$

⇒ $Volume1 = 5^{3}$

⇒ $Volume1 = 125m^{3}$

Volume of rectangular prism = $wlh$

⇒ $Volume2 = wlh$

⇒ $Volume2 = 5(4)(2)$

⇒ $Volume2 = 40m^{3}$

Now, Volume of solid created = Volume of cube - Volume of rectangular prism

⇒ Volume of solid created = $Volume1 - Volume2$

⇒ Volume of solid created = $125m^{3} - 40m^{3}$

⇒ Volume of solid created = $85m^{3}$

∴ Volume of solid created = $85m^{3}$ .

8 0

3 years ago

I'm so confused about solving by substitution.

Komok [63]

Answer:

x = 3

y = 2

Step-by-step explanation:

Given

y = -2x + 8

y = x - 1

Substitute x - 1 for y in the first equation

We have

y = -2x + 8

x - 1 = -2x + 8

Add 1 to both sides to eliminate 1 on the left side

x - 1 + 1 = -2x + 8 + 1

x = -2x + 9

Add 2x to both sides to eliminate 2x on the right side

x + 2x = -2x + 2x + 9

3x = 9

Divide both sides by 3 to isolate x

3x/3 = 9/3

x = 3

Now substitute 3 for x in either equations to get y

Using the second equation, we have

y = x - 1

y = 3 - 1

y = 2

x = 3 and

y = 2

6 0

3 years ago

(01.02) jessica is saving money for a new sailboat. She has already saved $1,000 and plans to save $150 per week. This situation

Slav-nsk [51]

Initial (fix) saving = $1,000.

Saving per week (variable saving) = $150.

Given function for total savings after x week, f(x) = 1,000 + 150x.

According to problem x represents number of weeks.

We need to find the total saving after 12 weeks.

In order to find the total savings after 12 weeks, we need to plug x=12 in the given function f(x) = 1,000 + 150x because x represents number of weeks.

Plugging x=12, we get

f(12) = 1,000 + 150(12).

Multiplying 150 by 12, we get 1800.

f(12) = 1,000 + 150(12) = 1,000 +1,800.

Adding 1,000+,1800, we get

=2,800.

Therefore, total saving after 12 week is $2,800.

5 0

4 years ago

Find area of the trapezoid.

Allisa [31]

Area of trapezoid = 1/2(b1+b2)h
b1 and b2 are top and bottom bases
so b1 = 15.8 and b2 = 21.8

h is height so h = 11.7
so
A = 1/2(15.8 + 21.8)(11.7)
A = 1/2(37.6)(11.7)
A = 219.96

answer
D. 219.96 yd^2

4 0

3 years ago

Read 2 more answers