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3 years ago

Given a right cone with base area b and height h what is the formula for the voluime

Mathematics

2 answers:

TEA [102]3 years ago

8 0

Probably, the formula of Volume for a cone of height 'h' and base area 'b' is :

$\frac{1}{3}bh$

raketka [301]3 years ago

3 0

Given a right cone with base area b and height h what is the formula for the volume

Solution:

Volume is the measure of amount of liquid or gas(which can take the shape of the vessel) that completely fills the figure(figure being cone here)

Area of base of cone= b

Height of right cone=h

Volume of cone= $\frac{1}{3}$ * area of base of cone * height of cone

= $\frac{1}{3}$ *b*h

= $\frac{bh}{3}$

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2. what value of b makes the following equation true

Svetradugi [14.3K]

Answer:

2. 10

3. D. 1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b = 1/a^-b

$\dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}$

The value of n is 10.

3. Using the above rules of exponents, the expression simplifies to ...

6^(-n+n) = 6^0 = 1

The value is 1 for any n.

4 0

3 years ago

Identify the number of solution or zeros. x^5 - 5x^2 + 6= 0

RideAnS [48]

Answer:

Step-by-step explanation:

The given equation is of the 5th order. Thus, we can expect 5 solutions/zeros.

3 0

3 years ago

Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.

beks73 [17]

Answer: Yes, $\bold{f^{-1}(x)=\dfrac{x+6}{3}}$

Step-by-step explanation:

f(x) = 3x - 6 is a line so it is a function because

it passes the vertical line test

and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

$y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y$

8 0

3 years ago

Someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi. We think the

denpristay [2]

Answer:

The sample size must be greater than 37 if we want to reject the null hypothesis.

Step-by-step explanation:

We are given that someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi.

Also, we are given a level of significance of 5%.

Let $\mu$ = mean breaking strength of their climbing rope

SO, Null Hypothesis, $H_0$ : $\mu$ = 2,000 psi {means that the mean breaking strength of their climbing rope is 2,000 psi}

Alternate Hypothesis, $H_A$ : $\mu$ < 2,000 psi {means that the mean breaking strength of their climbing rope is lower than 2,000 psi}

Now, the test statistics that we will use here is One-sample z-test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = ample mean strength = 1,997.2956 psi

$\sigma$ = population standard devaition = 10 psi

n = sample size

Now, at the 5% level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

So, to reject our null hypothesis our test statistics must be less than -1.645 as only then we have sufficient evidence to reject our null hypothesis.

SO, T.S. < -1.645 {then reject null hypothesis}

$\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < -1.645$