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Sunny_sXe [5.5K]
2 years ago
10

Each base of a triangular prism is a right triangle with side lengths 3 inches, 4 inches, and 5 inches. The height of the prism

is 7 inches. What is the surface area of the prism?
Mathematics
1 answer:
Artyom0805 [142]2 years ago
6 0
Well, each base has 3*4/2=6 square inches. The lateral faces have 3*7, 4*7 and 5*7 as areas, totalling 12*7=84 square inches on the sides. The bases which total 12 sq. in. are added to the sides to get a total surface area of 96 square inches.
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The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the
Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939

Probability:

p_{S} = \frac{1}{1533939}

Probability of the mega number matching:

1 from a set of 27. So

p_M = \frac{1}{27}

Probability of both matching:

Independent events, so we multiply the probabilities:

p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0
3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
1 year ago
Hii please help i’ll give brainliest
GarryVolchara [31]

Answer:

-12

Step-by-step explanation:

the opposite of 12 is -12

8 0
3 years ago
Which of the following would be considered a monomial? Select all that apply
Vaselesa [24]

Answer:

A and B

Step-by-step explanation:

Since these both only have one term and number/variable, making it a monomial.

4 0
2 years ago
Please help me with my homework my homework question
Paladinen [302]

Answer:

(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.

Can't read the second question fully.

(A) 0.53

Step-by-step explanation:

Number 1:

If we have the equation 3x + 2 = 5x, our first goal is to get rid of the x term on one side.

To do this we can subtract 3x from both sides. This leaves our equation to 2=2x. To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x.  This leaves x=1.

<em>I couldn't read Number 2 fully - I'm sorry :c</em>

<em></em>

Number 3:

Given the equation 3(x+0.2)=2.2, we want to isolate x on one side.

To do this, we first apply the distributive property to the left side.

3x + 0.6 = 2.2

Now subtract 0.6 from both sides:

3x=1.6

And divide both sides by 3.

x=0.5\overline{3}

This rounds to 0.53.

Hope this helped!

7 0
3 years ago
Read 2 more answers
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