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3 years ago

How to find the area of combined shapes

1 answer:

3 0

You can split the combined shape into separate shapes and find the area of each of those. once you have done that add all of the areas together and that will get you your combined shapes area.

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Help me with this please

Leya [2.2K]

Answer:

280

Step-by-step explanation:

what i did was just go step by step in what your teacher tells you to do but i am going to say this may be wrong.

6 0

2 years ago

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

3 years ago

SOlve the system of equations using substitution y=2x-10 y=4x-8

dezoksy [38]

It should be,
4x-8=2x-10 because you substitute that for y.
Now you do,
4x-2x because you do the opposite of the positive 2x as you bring it to the other side.
That is,
2x-8=10 now you bring the 8 to the other side.
2x=10+8 I added it because I do the opposite and it is a negative 8 so I add.
2x+18 now divide
x=9 that's the answer.

3 0

3 years ago

Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is close to the number

Masja [62]

Answer:

There are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

Step-by-step explanation:

Total Gasoline bought = 12.4 gallons

We are given:

1 gallons = 3.8 liters

So.=, we need to find how many liters in 12.4 gallons of gasoline

1 gallon = 3.8 liters

12.4 gallon = 3.8*12.4

= 47.12 liters

So, there are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

4 0

3 years ago

A 9 Kylie drives 291 miles in 6 hours. (a) What is her average speed?

ivolga24 [154]

Answer:

48.5 m/s

Step-by-step explanation:

291/6 = 48.5

5 0

3 years ago