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Andru [333]
3 years ago
15

Show the work please.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

In any given right triangle, the Pythagorean Theorem can be used to show that it is a right triangle.

The Pythagorean Theorem is a^2+b^2=c^2. In a right triangle, a and b would be the shorter legs of the triangle, while c would be the hypotenuse.

So for this problem, you would plug in the numbers in the order that they are listed to see if it is a right triangle.

F would be: 2^2+4^2=7^2. In this case, the sides are not equal.

G would be: 6^2+8^2=10^2. In this case, 100=100. So this is a right triangle.

H would be: 4^2+9^2=12^2. The sides are not equal.

J would be: 5^2+10^2=15^2. The sides are not equal.

Your answer would be G, since the sides are equal. Hope this helps! :)

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I need help on this can you help me please
Elis [28]

Answer:

The first one is linear, the second one is not linear, and the third one is linear.

Step-by-step explanation:

5 0
3 years ago
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Halp please and show you work cuz I'm nervous TwT
Daniel [21]
The answer is B, both 16+24 and option b is = to 40
3 0
2 years ago
From the lighthouse 1000 ft above sea level the angle of depression to boat a is 29 degress.a little bit later the boat moved cl
AnnyKZ [126]

Answer: The boat moved 768.51 feet  in that time .

Step-by-step explanation:

Since we have given that

Height of the lighthouse = 1000 feet

Angle depression to boat 'a' = 29°

Angle of depression  to shore 'b' = 44°

Consider ΔABC,

\tan 44\textdegree=\frac{AB}{BC}\\\\\tan 44\textdegree=\frac{1000}{BC}\\\\BC=\frac{1000}{\tan 44\textdegree}\\\\BC=1035.53\ feet

Now, Consider, ΔABD,

\tan 29\textdegree=\frac{AB}{BD}\\\\\tan 29\textdegree=\frac{1000}{BD}\\\\BD=\frac{1000}{\tan 29\textdegree}\\\\BD=1804.04\ feet

We need to find the distance that the boat moved in that time i.e. BC

so,

DC=BD-BC\\\\CD=1804.04-1035.53\\\\CD=768.51\ feet

Hence, the boat moved 768.51 feet  in that time .

6 0
3 years ago
Mary deposits $400 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the
yawa3891 [41]

Answer:

$16

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.

Simple Interest = P x r x n

where P = Principal amount, r = Annual interest rate, n = Term of loan, in years​

2% = 2 ÷ 100 = 0.02  so r = 0.02

Therefore,  

Simple Interest = 400 x 0.02 x 2 = 16

So she will be paid $16 in the first two years.

3 0
2 years ago
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Gavin went on 25 runs last month that totaled 103 miles. Each run was a distance of either 3 miles or 5 miles. Which system of
Aleksandr [31]

Answer:

3x+5y=105

x+y=25

Step-by-step explanation:

x is the number of 3 mile runs so the total distance travelled is 3x miles.  y is the number of 5 mile runs so the total distance travelled is 5y miles.  Together Gavin travelled 103 miles so 3x+5y=105.  

The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.  

So the answer is:

3x+5y=105

x+y=25

Done.  

3 0
4 years ago
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