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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

Jet001 [13]3 years ago

3 0

Answer:

pq^9

Step-by-step explanation:

so this is basically multyplying the 2 variables

p there is 1

q there is 9

pq^9

jolli1 [7]3 years ago

3 0

Answer:

p q^9

Step-by-step explanation:

pqqqqqqqq

There is one p and 9 q's

That means raise p to the power of 1 and q to the power of 9

p^1 * q^9

Anything to the power of 1 is itself

p q^9

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Given: R=2m

mr_godi [17]

Answer:

$V = \frac{2L\sqrt{3}}{3} \pi}$

$A = 4\pi + \sqrt{3L^{2} + 16}$

Step-by-step explanation:

Figure of cone is missing. See attachment

Given

Radius, R = 2m

Let L = KL=LM=KM

Required:

Volume, V and Surface Area, A

Calculating Volume

Volume is calculated using the following formula

$V = \frac{1}{3} \pi R^{2} H$

Where R is the radius of the cone and H is the height

First, we need to determine the height of the cone

The height is represented by length OL

It is given that KL=LM=KM in triangle KLM

This means that this triangle is an equilateral triangle

where OM = OK = $\frac{1}{2} KL$

OK = $\frac{1}{2}L$

Applying pythagoras theorem in triangle LOM,

|LM|² = |OL|² + |OM|²

By substitution

L² = H² + ( $\frac{1}{2}L$ )²

H² = L² - $\frac{1}{4}L$ ²

H² = L² (1 - $\frac{1}{4}$ )

H² = L² $\frac{3}{4}$

H² = $\frac{3L^{2} }{4}$

Take square root of bot sides

$H = \sqrt{\frac{3L^{2} }{4}}$

$H = \frac{L\sqrt{3}}{2}$

Recall that $V = \frac{1}{3} \pi R^{2} H$

$V = \frac{1}{3} \pi 2^{2} * \frac{L\sqrt{3}}{2}$

$V = \frac{1}{3} \pi * 4} * \frac{L\sqrt{3}}{2}$

$V = \frac{1}{3} \pi} * {2L\sqrt{3}}$

$V = \frac{2L\sqrt{3}}{3} \pi}$

in terms of $\pi$ an d L where L = KL = LM = KM

Calculating Surface Area

Surface Area is calculated using the following formula

$H = \frac{L\sqrt{3}}{4}$

$A=\pi r(r+\sqrt{h^{2} +r^{2} } )$

$A=\pi * 2(2+\sqrt{((\frac{L\sqrt{3}}{2})^{2} +2^{2} } )$ )

$A=\pi * 2(2+\sqrt{{\frac{3L^{2}}{4} } + 4 }$ )

$A=\pi * 2(2+\sqrt{{\frac{3L^{2}+16}{4} } })$

$A=2\pi(2+\sqrt{{\frac{3L^{2}+16}{4} } })$

$A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{\sqrt{4}} )$

$A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{2} )$

$A = 2\pi (2 + {\frac{1}{2} \sqrt{3L^{2} + 16})$

$A = 4\pi + \sqrt{3L^{2} + 16}$

6 0

3 years ago

When a die is thrown once whay is the probability of getting multiple of 3

kiruha [24]

Answer:

I think the answer is 25%

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I will give u 5 stars for you answer and ill mark u brainilest if u tell me how to do it.

kolezko [41]

Answer:

Erin ran 12.5 miles

Luis ran 7.5

In all they ran 20 miles.

Step-by-step explanation:

Erin: 5 x 3.5 = ?

Luis: 3 x 2.5 = ?

----------------------------

5 x 2.5 = 12.5 . Erin ran 12.5 miles

3 x 2.5 = 7.5 . Luis ran 7.5 miles

7.5 + 12.5 = 20 miles

They ran 20 miles all together.

Hope this helps!

3 0

3 years ago

Please help due ASAP .....

dem82 [27]

Answer:

y = 4x - 9

Step-by-step explanation:

Same slope, so they're parallel

6 0

2 years ago

Help plz ill give extra points

Yuliya22 [10]

Answer:

Step-by-step explanation:

were

3 0

2 years ago

Read 2 more answers