1/3 divided by 6/9? Please help!!

The volume of a cone with a height of 4 cm is 12π cubic cm. What is the radius of the base?

blondinia [14]

Answer:

r = 6cm

Step-by-step explanation:

Solve for r:

$v = \frac{1}{3} \pi {r}^{2}$

$12\pi = \frac{1}{3} \pi {r}^{2} \\ 12\pi = \frac{\pi {r}^{2} }{3} \\ 3 \times 12\pi = \pi {r}^{2} \\ 36\pi = \pi {r}^{2} \\ \frac{36\pi}{\pi} = \frac{\pi {r}^{2} }{\pi} \\ \sqrt{ {r}^{2} } = \sqrt{36} \\ r = 6$

4 0

2 years ago

Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

ad-work [718]

<h3>Conner work is correct. Jana work is wrong</h3>

Solution:

Given that,

Conner and Jana are multiplying:

$(3^56^8)(3^96^{10})$

Given Conner's work is:

$(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}$

We have to check if this work is correct

Yes, Conner work is correct

From given,

$(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}$

Given Jana's work is:

$(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}$

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0

3 years ago

If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to

Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0

3 years ago

Please help me :((!!!!

Alika [10]

This seems like a concept you’re going to learn and use so I’ll do a problem per section and explain.

Well basically this is a concept: if it’s a negative exponent it’s just 1/number^exponent.

So for example:
#1. 1/(10)^2 = 10^-2

The standard notation:
#9: You know that 1/(10)^3 you could either put it in a calculator or realize that you take the number 1, and move the decimal to the left three times. 0.001 would be the answer.

Scientific notation:
combines these topics. Let’s take #17. 0.025. Scientific notation means you write it as a number multiplied by 10^? So let’s see how many places you can move the decimal to get a number without the zeros.

0.025 => move it two places to the right. So that’s 2.5. Now 2.5 multiplied by what 10^? Would give you 0.025? It would be 10^-2. So your answer would be 2.5 x 10^-2.

For all of these, use your knowledge of the power of tens and dividing by tens! ^^ you got this. Let me know if you need help after this explanation.

7 0

3 years ago

The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.

bearhunter [10]

Answer:

$m\angle A= 30^{\circ}$