All categories

2 years ago

Can someone please help me with this?

Mathematics

2 answers:

goldenfox [79]2 years ago

8 0

The area A of a circle is equal to: pi times the radius squared

A = πr²

A = π5², which is 78.5

Pepsi [2]2 years ago

5 0

Answer:

A = πr²

A = π5², which is 78.5

Step-by-step explanation:

You might be interested in

Don’t get it help me !

photoshop1234 [79]

Answer:

a > 12

Step-by-step explanation:

To ride the go karts you need to be OVER 12 years old. We are going to use < and > because you can't be 12 and younger. The hint is OVER because this essentially means that the variable a HAS to be bigger than 12. Thus is why the ineuality is a > 12.

Best of Luck!

8 0

2 years ago

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

How do you implicitly differentiate: sqrt(xy)=x^2y+1

Furkat [3]

Implicit expression refers to equation that are not strictly expressed in terms of y and x separately. In this case, the derivative of expression
sqrt(xy)=x^2y+1 is

sqrt x * 0.5 y ^-0.5 dy + sqrt y * 0.5 x ^-0.5 dx= x^2 dy + 2xy dx
dy (x^2 - 0.5 (x/y) ^0.5) = dx (2xy - 0.5 (y/x)^0.5)
dy/dx = (2xy - 0.5 (y/x)^0.5) / (x^2 - 0.5 (x/y) ^0.5)

3 0

2 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

8 0

3 years ago

Which missing number makes the statement true? 8,486 < 8,_72 es ) A) 0 B) 2 C) 3 D) 6

Anestetic [448]

Answer:

D.) 6

Step-by-step explanation:

6 0

2 years ago