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3 years ago

How can I find the surface area of a right cone with a radius of 6 and slant height of 16

1 answer:

3 0

First, you have to calculate the height.
Pythagorean Theorem:
a^2+b^2=c^2
Slant height=c^2
Radius=b^2
So, a^2+6^2=16^2
a^2+36=256
a^2=220
a=14.832397
Surface Area = πr(r+ square root of h^2+r^2)

Surface Area is approximately 414.69

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Heyyyyy pleasse help me please please and thank you

dimulka [17.4K]

Answer:

x ≈ 33.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{125}{192}$ , then

x = $tan^{-1}$ ( $\frac{125}{192}$ ) ≈ 33.1° ( to the nearest tenth )

7 0

2 years ago

Find the slope of the line -3x+5y=30

Dmitriy789 [7]

-3x+5y=30
+3x+5y=30
5y=3x+30
divide 5 by everything
answer: y=3/5x+6

4 0

2 years ago

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the

taurus [48]

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})$

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, <em>n</em> = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})$

3 0

3 years ago

I just need like a step by step I haven't understood what my teacher has taught me here

motikmotik

You are trying to find the side between the right angle and the degree (This is known as the adjacent)
You are given degree 42
You also given the longest side of 19 (This is known as the hypothenuse)
Cosine: adjacent/hypothenuse
Cos42 = x/19
0.7431448255 = x/19
x = 19 * 0.7431448255
x = 14.11975168, round to tenth

Solution: x = 14.1

7 0

2 years ago

Given d is the midpoint of ab, e is the midpoint of bc, and ac = 24 units. which of the following statements must be true?

yan [13]

Answer:

Step-by-step explanation:

I am pretty sure but get another answer just to be sure.

7 0

2 years ago