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3 years ago

What is the simplest form of the expression below? (25 points, Multiple choice)

Mathematics

2 answers:

zysi [14]3 years ago

3 0

The answer is cot θ.

Yuki888 [10]3 years ago

3 0

<h2>Correct the answer is cot 0</h2>

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A cone has a volume of 2560π cm cubed and a heigh of 30 cm.

Korolek [52]

Answer:

r = 16 cm

g = 34 cm

LA = 1708.16 cm^2

Step-by-step explanation:

We have that for the cone, the formula is as follows:

v = pi / 3 * r ^ 2 * h

the first thing they ask is to calculate the radius, therefore we solve for r

r ^ 2 = 3 * v / (pi * h)

replacing the volume and height, it remains:

r ^ 2 = 3 * 2560 * pi / (pi * 30)

r ^ 2 = 3 * 2560/30 = 256

r = 16

Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:

g ^ 2 = r ^ 2 + h ^ 2

g ^ 2 = 16 ^ 2 + 30 ^ 2

g ^ 2 = 1156

g = 34

The lateral area of the cone is given by the following equation:

LA = pi * r * g

replacing

LA = 3.14 * 16 * 34

LA = 1708.16 cm ^ 2

the lateral area is 1708.16 cm ^ 2

8 0

3 years ago

I need help pleaseeee

Semenov [28]

Suree I do Bc I’m bored

3 0

2 years ago

Consider a political discussion group consisting of 1010 Democrats, 1010 Republicans, and 55 Independents. Suppose that two gr

yan [13]

Answer:

The probability is $\frac{3}{20}$

Step-by-step explanation:

Consider a political discussion group consisting of 10 Democrats, 10 Republicans, and 5 Independents.

Total members of the group = $10+10+5=25$

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

$\frac{10}{25}\times \frac{9}{24}$

= $\frac{90}{600} =\frac{3}{20}$

So, the probability is $\frac{3}{20}$

3 0

3 years ago

Which fraction represents the decimal 0.8888...?

suter [353]

Answer: The decimal 0.88888.... represented by the fraction $\dfrac{8}{9}$

Step-by-step explanation:

Since we have given that

0.888888....

So, Let x = 0.88888....= $0.\bar{8}$ -----(1)

Now, multiply by 10 on both sides, we get that

$10x=8.8888.....=8.\bar{8}----------(2)$

Now, Subtracting (1) from (2), we get that

$10x-x=8.\bar{8}-0.\bar{8}\\\\9x=8\\\\x=\dfrac{8}{9}$

Hence, the decimal 0.88888.... represented by the fraction $\dfrac{8}{9}$

8 0

2 years ago

Read 2 more answers

I need help with this please, could you explain so I can understand better please

MA_775_DIABLO [31]

Answer:

<3 and <6 is Alternate interior angles.

<4 and <5 is Alternate interior angles.

<2 and <7 is Alternate exterior angles.

<3 and <7 is Corresponding angles.

Hope this helps. :)

8 0

3 years ago