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2 years ago

How far does Miss Ireland live from Mrs. Brown if

Mathematics

1 answer:

frozen [14]2 years ago

8 0

90 miles driving at 45 mph for 2 hours

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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 <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 = $87.6\ mm^{2}$

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3 years ago

What is 0.194 with only thhe 9 and 4 repeating as a fraction?

nirvana33 [79]

193/990 Would be the answer. If you want the steps to find it, just ask.

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3 years ago

M=1.33333(N+20). If N=16,find M<br><br>

aalyn [17]

Answer:

M=47.99988

Step-by-step explanation:

M=1.33333(16+20)

=1.33333(36)

=47.99988

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3 years ago

Charlie runs ata speed of 3 yards per second. about how many miles per hour does charlie run?

DochEvi [55]

(3 yard/sec) x (3,600 sec/hr) x (1 mile / 1,760 yard) =

(3 x 3,600 / 1,760) (mile/hour) = 6.136... mph (rounded)

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3 years ago

Japanese 22 pirate for every two pirate ships he manages

Drupady [299]

Answer:

He should sell them he would be rich.

Step-by-step explanation:

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3 years ago