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docker41 [41]
3 years ago
10

Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

6^2 + 8^2 = 36 + 64 = 100 = 10^2

The answer is yes.

b. 8, 15, 16

8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256

So no.

c. 10, 24, 26

10^2 + 24^2 = 100 + 576 = 676 = 26^2

So yes

d. 20, 21, 28

20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784

So no.

e. 9, 35, 41​

9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681

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Blake has b baseball cards. His aunt gave him more cards, increasing his total number of cards by 25%. Which expression represen
Naily [24]

Answer:

Blake's total number of cards now:  1.25b

Step-by-step explanation:

Total number of cards now would be equal to 25% increase from b.

<em>This means we INCREASE b by 25% OF b.</em>

<em />

What is 25% of b???

\frac{25}{100}*b\\=0.25b

Now we need to ADD this to original amount, b.

So,   b+0.25b=1.25b

6 0
3 years ago
Which of the following are one-dimension and have infinite length
noname [10]

Answer:

Lines

Step-by-step explanation:

Lines are one dimensional and continue to infinity in both directions.

7 0
3 years ago
Identify the like terms.
Aloiza [94]
The correct answer is C: -3b and 4b.
7 0
4 years ago
Resolver la siguiente ecuación por eliminación o sustitución: a-8b= -9 a-2b= -7
Crazy boy [7]

Answer: Solution: a=\dfrac{-19}{3} and b=\dfrac{1}{3} .

Step-by-step explanation:

The given pair of equations:

a-8b= -9\ ...(i)\\\\ a-2b= -7\ ...(ii)

Eliminate equation (i) from (ii) , we get

-2b-(-8b)=-7-(-9)\\\\\Rightarrow\ -2b+8b=-7+9\\\\\Rightarrow\ 6b=2\\\\\Rightarrow\ b=\dfrac{1}{3}

Put value of b in (ii) , we get

a-2\times\dfrac{1}{3}=-7\\\\\Rightarrow\ a=-7+\dfrac{2}{3}\\\\\Rightarrow\ a=\dfrac{-21+2}{3}\\\\\Rightarrow\ a=\dfrac{-19}{3}

Solution: a=\dfrac{-19}{3} and b=\dfrac{1}{3} .

4 0
3 years ago
The cooper family owns a luxury sedan and a compact car. The fuel tank capacity of the luxury sedan 9s 22.45 gallons and that of
Viefleur [7K]

Answer:

13.75\ gal

Step-by-step explanation:

we know that

To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan

so

22.45-8.7=13.75\ gal

4 0
3 years ago
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