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Mama L [17]
3 years ago
14

A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

No, 9^2 +7^2 \neq 12^2

Step-by-step explanation:

9^2 +7^2 = 81+ 49 =130...(1)

12^2 = 144...(2)

From equations (1) & (2) it is obvious that:

9^2 +7^2 \neq 12^2

Thus, the given is not a right triangle.

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Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to
snow_lady [41]

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

400 * 6 = 2400 meters

It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km  and time = 12 minutes

Now we find our constant speed

Distance = speed * time

2.4 = speed * 12

divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

1 = 0.2 * t

divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

3 0
3 years ago
If f(x) = 1/9x-2, what is f^-1(x)?
gavmur [86]

Answer:

9x-2

Step-by-step explanation:

f^-1(x)=1/f(x)=9x-2

8 0
2 years ago
Is 1|3 and 3|3 are equal ?
netineya [11]
No, they aren't. 3/3+ 1 whole
3 0
3 years ago
Read 2 more answers
It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sampl
leva [86]

Answer:

P(X=7)

And using the probability mass function we got:

P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271  

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.23)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want to find the following probability:

P(X=7)

And using the probability mass function we got:

P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271  

5 0
3 years ago
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the
beks73 [17]
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t}  }
where
m is the monthly payment
P is the amount
r is the interest rate in decimal form 
t is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
\frac{4}{100} =0.04
We also know from our question that P=224500 and t=30, so lets replace those values into our formula to find the monthly payment:
m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)}  }
m=1071.80

We can conclude that the monthly payment during the initial period is $1071.58<span />
7 0
3 years ago
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