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padilas [110]
3 years ago
8

Find the value of x in the triangle shown below

Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

The answer is A. sq. root of 11

Step-by-step explanation:

Use a2+b2=c2

So, 25+b2=36

b2=11

b=sq root 11

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Justin recently drove to visit his parents who live 300 miles away. On his way there his average speed was 11 miles per hour fas
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Answer:

x=1

Step-by-step explanation:

5 0
3 years ago
Ella is a landscape photographer. One weekend at her gallery she sells a total of 52 prints for a total of $2,975. A small paint
rosijanka [135]
<h2>Answer:37 paintings of $50 and 15 paintings of $75</h2>

Step-by-step explanation:

Let x be the number of paintings Ella sells for $50.

Let y be the number of paintings Ella sells for $75.

Profit made through $50 paintings is 50x

Profit made through $75 paintings is 75y

So,total profit is given by 50x+75y

It is given that total profit is $2975

So,50x+75y=2975      ..(i)

Given that the total number of prints is 52

So,x+y=52      ..(ii)

using (i) and (ii),

50x+75(52-x)=2975\\50x+3900-75x=2975\\25x=925\\x=37

y=52-x=52-37=15

7 0
3 years ago
Read 2 more answers
The volume of a cylinder of radius r and height h is given by V = π r 2 h. Then the height, in terms of the radius and volume, i
sdas [7]
Hello There!

It is represented as: h = \frac{v }{ \pi  r^{2} }

Hope This Helps You!
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5 0
3 years ago
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The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as
bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

8 0
3 years ago
Susan's investment portfolio currently contains three stocks that have a total value equal to $100,000. The beta of this portfol
Sladkaya [172]
A stock portfolio's overall beta is found by multiplying each stock's beta times the percentage of the overall portfolio it makes up and adding these terms together. Since the current portfolio's beta is known, we can treat all the stocks in the portfolio as a single stock for calculating its weight in the new portfolio. Thus, our new portfolio will have a value of $150,000, $100,000, or 2/3, of which has a beta of 1.5 and $50,000, or 1/3, of which has a beta of 3. Then the beta of the new portfolio will be 1.5*(2/3) + 3*(1/3) = 2.
6 0
3 years ago
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