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den301095 [7]
2 years ago
14

DIG DEEPER! The figure shows the angles used to make a double bank shot in an air hockey game. a. Find the value of x. b. How do

es the angle the puck hits the edge of the table relate to the angle it leaves the edge of the table? B 7 un E ETT​

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

the sides of the air hockey can be used as parallel lines.

m° = angles on a straight line add up to 180. 180 - 64 = 116. 116/2 = 58°

m = 58°

the 64° given is an alternate angle to X.

X = 64°

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A number greater than a thousand whos prime factorization contains one prime number that does not repeat, one prime number that
Nikitich [7]

You can build as many numbers as you like: just pick three primes and repeat them as required.

The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.

Since 10^3 = 1000, it is enough that the prime repeating three times is larger than 10.

So, for example, we can pick

  • 2, not repeating
  • 3, repeating twice
  • 11, repeating 3 times

The result is

2 \times 3^2 \times 11^3 = 23958

8 0
3 years ago
100 POINTS!!! Brainliest if correct, I report if the answer is absurd. Don’t answer if don’t know.
Lena [83]

Answer: D

Step-by-step explanation:

To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.

\frac{3}{4}x-1=\frac{1}{2}x+7           [subtract both sides by 1/2x]

\frac{1}{4}x-1=7                    [add both sides by 1]

\frac{1}{4}x=8                           [multiply both sides by 4]

x=32

Now that we know x, we can plug it into each expression to find teh length of each side.

\frac{3}{4}(32)-1                       [multiply]

24-1                           [subtract]

23

Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.

23+23+23+23=92        or          23×4=92

Since we know that the perimeter is 92 units, the answer is D.

3 0
3 years ago
Read 2 more answers
You mow the lawn to earn your allowance. Each time you mow the lawn you earn $12 Write an equation for the number of dollars, d,
andrezito [222]

The equation is d=12m for amount you earn is 12 dollars per mow sesion.

12x10=120 after 10 times mowing you earned $120 (not bad)

8 0
3 years ago
According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
Help asap! Please! A 40 cm tomato plant cast a 25cm shadow. How tall is the corn stalk if it's shadow is 280cm long?
Angelina_Jolie [31]

Answer:

448

Step-by-step explanation:

This is  a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.

height ratio  shadow ratio

40 cm / x = 25 / 280             Cross multiply

25x = 40 * 280                      Combine

25x = 11200                            Divide by 25

x = 11200/25

x = 448 cm

The height of the corn plant is 448 cm

4 0
2 years ago
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