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3 years ago

Can someone help plz im giving brain

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

Answer:

for 20 the answer is B

Step-by-step explanation:

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Here is a triangular pyramid and its net.

bazaltina [42]

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 <em>Lateral Surface Area + Area of base</em>

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

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 = $87.6\ mm^{2}$

3 0

3 years ago

What is 13 10/15 in the lowest terms?

olga55 [171]

The answer is below:

$13\frac{2}{3}$

5 0

4 years ago

A bottle of the medicine contains 0.5 kilograms of the medicine. One dose of the medicine is 20 grams for a child and 45 grams f

victus00 [196]

1.48 more grams of the medicine will be needed

5 0

3 years ago

Read 2 more answers

What are the first 4 terms of the arithmetic sequence in the

KengaRu [80]

the first 4 sets of coordinates are (2,1) (3,5) (4,9) and (5,13)

7 0

3 years ago

Find the savings plan balance after 18 months with an APR of 3% and monthly payments of $200.

ArbitrLikvidat [17]

The saving plan balance is $3,677.53.

Given that,

The no of months is 18.
The annual percentage rate is 3% so the monthly rate percentage is 0.25%.
And, the monthly payment is $200.

Based on the above information, the following formula should be used:

FVA = PMT× [(1+r)^n - 1] ÷ r

= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025

= $3,677.53

Therefore we can conclude that the saving plan balance is $3,677.53.

Learn more: brainly.com/question/14191332

4 0

3 years ago

Can someone help plz im giving brain ​

Can someone help plz im giving brain