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Alexus [3.1K]
3 years ago
12

The volume of a cone varies jointly with the area of the base and the height. When the area of the base is 27 cm2 and the height

is 6 cm, the volume is 54 cm3. Therefore, the area of the base is _ cm^2 when the height is 12 cm and the volume is 124 cm^3.
Mathematics
1 answer:
Tomtit [17]3 years ago
3 0
Cone=cup:
V=124<span>cm^3.
h=12cm
V=Bh
P=r</span>^2π+rsπ:
B=r^2π
B=V/h=124/12=10,3cm^2
r^2=B/π
r=√(B/π)=1,81 cm
S=√(r^2+h^2)=√(12^2+1.81^2)=√(144+3,28)=12,13 cm
P=r^2π+rSπ=3,28*3,14+1,81*12,13*3,14=10,29+68,93=79,22 cm^2
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Josie deposited $450 at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym members
Alinara [238K]

Answer:

You have told us that there is $450 in Josie's bank account, and she does not make any later deposits or withdraws. You have also told us that the gym deducts $35.20 every one month in fees.

Explanation:

The answer is really easy to find. All you have to do is subtract 35.20 from 450. The problem asks for the amount of money that Josie has in her account at the end of the month - the same month that she put $450 into her account.

Solve:

450 - 35.20

= 414.80

Josie has $414.80 in her bank account at the end of the month.

<h2><u>PLEASE MARK BRAINLIEST! </u></h2>
7 0
3 years ago
A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wi
zubka84 [21]
100 and 70 for the 67 and 137
4 0
3 years ago
Complete the synthetic division problem below.
rewona [7]

Answer:

B

Step-by-step explanation:

- 2 | 2   2   - 2   4

      ↓  - 4    4   - 4

    --------------------------

      2   - 2   2    0 ← remainder

Since the remainder = 0 then (x + 2) is a factor

quotient = 2x² - 2x + 2

4 0
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The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 5 h
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v=d/t

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7 0
3 years ago
If a cat with short brown hair (llBb) is crossed with a cat with long black hair (Llbb), what is the likelihood that there will
Advocard [28]

Bb = brown hair phenotype

bb = black hair phenotype

we see that B = brown hair is the dominant gene while b = black hair is the recessive gene

----------------------------------

ll = short hair, this is a lowercase L

Ll = long hair

In this case, l = short hair is the recessive gene while L = long hair is the dominant gene.

----------------------------------

Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are

  • LlBb  = long brown hair (comes up 4 times)
  • Llbb  = long black hair (comes up 4 times)
  • llBb  = short brown hair (comes up 4 times)
  • llbb  = short black hair (comes up 4 times)

-----------------------------------

If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.

The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.

The probability of having both events occur is (1/4)*(1/4) = 1/16

The multiplication of probabilities is valid because the two events are independent.

==============================================

<h3>Final Answer: A) 1/16</h3>

5 0
3 years ago
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