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ZanzabumX [31]
3 years ago
7

See image for question and answer choices

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

<u>A^2+12^2=13^2</u>

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

(\sqrt{A^2}=A)=(\sqrt{25}=5)

A=5

This is your answer.

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Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l
Anna35 [415]

Answer:

6 mph

Step-by-step explanation:

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

<u>Dina:</u>

D = 12 mi

r = 8 mph

t = ?

So,

12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours

<u>Masha:</u>

D = 12 - 3 = 8 mi

r = ?

t = 1.5 hours

Then

9=1.5r\\ \\r=\dfrac{9}{1.5}=\dfrac{90}{15}=6\ mph

6 0
3 years ago
Read 2 more answers
I need help please (25 points)
solniwko [45]
I think its a liner
4 0
3 years ago
Which shows the image of quadrilateral ABCD after the transformation R0 90?
Arisa [49]

Answer:

second picture

Step-by-step explanation:

The rule to rotate a point counterclockwise about the origin is:

Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.

We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:

Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture

7 0
3 years ago
g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.
lana [24]

Answer:

We can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

If we use this formula we got:

z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456

z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279

And using a calculator, excel or the normal standard table and we have that:

P(0.456

Step-by-step explanation:

We assume this previous info:  It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

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 delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(20,9.31)  

Where \mu=20 and \sigma=9.31

Since the distribution for X is normal then the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

If we use this formula we got:

z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456

z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279

And using a calculator, excel or the normal standard table and we have that:

P(0.456

6 0
3 years ago
ALGEBRAIC model that represents the following situation: "A local fair charges an entrance fee of $5, and costs $1.25 per ride.
Sergeu [11.5K]

Answer:

y = 1.25x + 5

Step-by-step explanation:

The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.

y = mx + b

only rates that change is dependent on how many rides you go on.

so 1.25 is your slope, m

y = the amount you will spend

x = the amount of rides you go on

b = the cost to enter the fair -- this is fixed.

put the equation together

6 0
3 years ago
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