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Mnenie [13.5K]
3 years ago
8

Sondra has a conical bird feeder with a circular top. The volume of the bird feeder is 153.86 cubic inches. The height of the fe

eder is 12 inches. What is radius of the top? Use 3.14 for . Round the answer to the nearest tenth. 3.5 in. 7.0 in. 12.3 in. 49.0 in.
Mathematics
2 answers:
Vinvika [58]3 years ago
4 0
3.5 is the answer, and anything else.
Usimov [2.4K]3 years ago
4 0

Answer: 3.5 inches

Step-by-step explanation:

Given: The volume of the conical bird feeder = 153.86 cubic inches

The height of the conical bird feeder = 12 inches

We know that the volume of a cone is given by :-

\text{Volume}=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow\ 153.86=\dfrac{1}{3}(3.14)r^2(12)\\\\\Rightarrow\ r^2=\dfrac{153.86\times3}{(3.14)(12)}\\\\\Rightarrow\ r^2=12.25\\\\\Rightarrow\ r=\sqrt{12.25}=3.5

Hence, the radius of the top of the cone= 3.5 inches.

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triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
3 years ago
For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f
pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

P(x) = nCx*p^{x} *(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}

P(4)=0.2592

And P(5) is:

P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

5 0
3 years ago
A house costs $600 more than twelve times the lot on which it was built. If the lot cost x dollars, what did the house cost? Whi
Mnenie [13.5K]
House=600+12lot
lot=x
house=600+12x

answer is first expresion
7 0
3 years ago
Read 2 more answers
Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ? ​
bearhunter [10]

Answer:

\sf \log_{10}6=0.7781

Step-by-step explanation:

<u>Given</u>:

\sf \log_{10} 2 = 0.3010

\sf \log_{10} 3 = 0.4771

To find log₁₀ 6, first rewrite 6 as 3 · 2:

\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)

\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay

\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2

Substituting the given values for log₁₀ 3 and log₁₀ 2:

\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}

Therefore:

\sf \log_{10}6=0.7781

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

5 0
1 year ago
Read 2 more answers
Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.
Serga [27]

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

8 0
3 years ago
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