Nancy has 49 pennies in her bank

I suck at figuring out the radius of a circle :c<br> Can someone help please :(

kvv77 [185]

First question:

The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.

Let $r$ be the radius of the circle.

We have a right triangle where the legs are $r$ and $40$ , and the hypotenuse is $(20+r)$

I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).

Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:

$r^2+40^2=(20+r)^2$

Simplify the right side so it's easier to solve

$r^2+1600=400+40r+r^2$

Subtract both sides by r²

$1600=400+40r$

Subtract both sides by 400

$1200=40r$

Divide both sides by 40

$r=30$

The value of r is 30, meaning the radius is 30 feet.

Second question:

Please look at the attached image, it would be too hard to try and describe this in words.

We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.

The hypotenuse is the radius, x.

Use Pythagorean Theorem's to solve for x

$3.6^2+4^2=x^2$

Simplify

$x^2=28.96$

Use a calculator to take the square root of 28.96

$x=5.3814...$

The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:

To the nearest tenths: $x=5.4$

To the nearest hundredths: $x=5.38$

To the nearest thousandths: $x=5.381$

Answerer's Note:

I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!

~ Padoru

3 0

3 years ago

Ms.hernandez is taking her children and their friends to the movies. She will pay $10 for her adult tickets and $7 for each chil

astraxan [27]

Answer:

10a + 7c < 40

Step-by-step explanation:

5 0

3 years ago

A 6th grade math teacher can grade 15 homework assignments in 24 minutes. If he works at the same rate, how long should it take

leva [86]

Answer:

its 57.6

Step-by-step explanation:

6 0

2 years ago

A baseball player has made 32 free throws in 45 attempts for current success rate of 71%. How many consecutive free throws must

s344n2d4d5 [400]

Answer: The player need to make 2 consecutive free throws to raise the average to 75%.

Step-by-step explanation:

Let the number of extra consecutive free throws to raise the average to 75% be 'x'.

Number of free throws already taken = 32

Number of attempts = 45

According to question, it becomes,

$\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75$

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.

6 0

3 years ago

A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9

AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0

3 years ago

Nancy has 49 pennies in her bank​

Nancy has 49 pennies in her bank