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3 years ago

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

Lynna [10]

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!
Good Luck :)

- Hannah ❤

5 0

3 years ago

Read 2 more answers

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.

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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