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2 years ago

Suppose that ym has length 12 in. and its distance from point L is 5 in. Find the radius of ⊙L to the nearest tenth.

Mathematics

1 answer:

jek_recluse [69]2 years ago

5 0

Answer:

The radius of circle L is $7.8\ in$

Step-by-step explanation:

Remember that a line that passes through the center divide the circle into two equal parts

YV=VM=6 in

VL is perpendicular to YM

The triangle VLM is a right triangle

The radius is equal to LM ----> hypotenuse of the triangle VLM

Applying the Pythagoras Theorem

$LM^{2}=VM^{2}+VL^{2}$

substitute the given values

$LM^{2}=6^{2}+5^{2}$

$LM^{2}=61$

$LM=7.8\ in$

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Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

Sauron [17]

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

$\mu = 15.0$

Standard deviation,

$\sigma = 1.25$

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

$= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})$

$=1-P(z\leq \frac{17.5 - 15}{1.25})$

$=1-P(z\leq \frac{2.5}{1.25})$

$=1-P(z\leq 2)$

$=1- 0.5793$ ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

$=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})$

$=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})$

$=P(z\leq 2.4) - P(z\leq -0.8)$

= 0.9918 - 0.2119

= 0.7799

8 0

3 years ago

Equation of a line with an slope of 1/2 that contains (-4, 7)

nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is $y=\frac{1}{2} x+9$

Solution:

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

The formula for point slope form:

$y-y_{1}=m\left(x-x_{1}\right)$

where "m" is the slope of line

Given that "m" = $\frac{1}{2}$ and $(x_1, y_1) = (-4, 7)$

$\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}$

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

3 0

3 years ago

Write the following expression in the form of 4^n

pishuonlain [190]

Answer:

4^7

Step-by-step explanation:

4 * 4 * 4 * 4 = 256

4 * 4 * 4 = 64

Since the number is the same, another way to write the expression is 4^7.

256 * 64 = 16,384

Hope I helped! Please give me brainliest!

4 0

3 years ago

11. The ages (in years) of 11 children and the number of words in their vocabulary. Find the correlation coefficient r.

ludmilkaskok [199]

Start from the bottom now u there 110 languages and 3

8 0

2 years ago

a dog eats 5 cups of food a day. a pound of food contains 10.5 cups. how much does it cost to feed the dog each day if a 50 lb b

Stells [14]

So, the dog eats 5 cups a day and 1 pound of dog food is 10.5 cups.

A 50 lb bag is $22.50.

Since you're asking how much it would cost to feed it a day we need to find out how much 1 pound of food costs.

22.50 / 50 = 0.45

So, it's 0.45 for 1 lb. But 1 lb is 10.5 cups, not 5.

0.45 / 5 = 0.09

So, I believe it would cost 0.09 each day to feed the dog.

3 0

3 years ago