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Kobotan [32]
3 years ago
14

The surface area of a rectangular prism is 208 cm. Two of the dimensions are 2cm and 10 cm. Find the measure of the other dimens

ion.
Mathematics
1 answer:
kompoz [17]3 years ago
6 0

2 times 10 equals 20

208 divided by 20 equals 10.4

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What is the volume of the cylinder if the height is 2x+7 and the radius is x-3
shusha [124]

Answer:

Therefore the volume of the cylinder=\pi(2x^3-5x^2-24x+63)  cubic units

Step-by-step explanation:

Given height of a cylinder is (h) =2x+7

and radius  (r)= x-3

Volume of the cylinder = \pi r^2 h

                                  =\pi (x-3)^2(2x+7)

                                  =\pi (x^2-6x+9)(2x+7)

                                  =\pi (2x^3-12x^2+18x+7x^2-42x+63)

                                  =\pi(2x^3-5x^2-24x+63)  cubic units

Therefore the volume of the cylinder=\pi(2x^3-5x^2-24x+63)  cubic units

5 0
2 years ago
Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's
sweet-ann [11.9K]

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

3 0
2 years ago
In a certain​ country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th
-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

P(x)=^nC_x(p)^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

The probability that all babies are girl or there is no baby boy,

P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}

=0.00499125661758

Hence, the probability that at least one of them is a boy​ = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0
3 years ago
The product of two consecutive even integers is 14 more than their sum. Find the integers
sukhopar [10]
4 and 6! 

4*6 = 24

24 - 14 = 10

4 + 6 = 10
5 0
2 years ago
Please help me tahank you so much
STALIN [3.7K]
We know that a triangle adds up to 180 degrees.

Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25

130 + 25 = 155

Now let’s subtract this from 180.

180 - 155 = 25.

X is a supplementary angle to 25 so subtract 25 from 180.

180 - 25 = 155

X = 155.
4 0
2 years ago
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