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Artemon [7]
3 years ago
6

The legs of a right triangle have the lengths of 8 centimeters and 15 centimeters. What is the length of the hypotenuse, in cent

imeters? [Hint: Use the Pythagorean Theorem.]
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

Step-by-step explanation:

WeknowthatsinceABCisarightangledtriangle,  

AB2+BC2=AC2

82+152=AC2

64+225=AC2

AC2=289

AC=289−−−√=17

Hypotenuse=17cm

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Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4. If the numerator
Maru [420]

Answer:

a=2, b=5

Step-by-step explanation:

Let

n -----> the denominator

we have

3.5*10^4=\frac{7*10^9}{n}

Solve for n

That means -----> isolate the variable n

Multiply by n both sides

3.5*10^4(n)=7*10^9

Divide by 3.5*10^4 both sides

n=\frac{7*10^9}{3.5*10^4}=(\frac{7}{3.5})(\frac{10^9}{10^4})=2*10^5

therefore

a=2, b=5

5 0
3 years ago
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A standard toilet uses 1.6 gallons per flush. If a toilet is flushed five times per day, how much water will be used in a month
djyliett [7]

Answer:

I believe the answer is 48 gallons.

Step-by-step explanation:

Multiply 1.6 by 30 and you get 48

6 0
2 years ago
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What is the solution to the system of equations below? -4x+6y=-18 and y=-2x+21
Verdich [7]

Answer:

x=9 and y=3

Step-by-step explanation:

Let's solve your system by substitution.

−4x+6y=−18 and y=−2x+21

Rewrite equations:

y=−2x+21;−4x+6y=−18

Step: Solve  y=−2x+21for y:

y=−2x+21

Step: Substitute−2x+21foryin−4x+6y=−18:

−4x+6y=−18

−4x+6(−2x+21)=−18

−16x+126=−18(Simplify both sides of the equation)

−16x+126+−126=−18+−126(Add -126 to both sides)

−16x=−144

−16x

−16

=

−144

−16

(Divide both sides by -16)

x=9

Step: Substitute9forxiny=−2x+21:

y=−2x+21

y=(−2)(9)+21

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Answer:

x=9 and y=3

3 0
3 years ago
Her exercise today, Amanda plans to both run and swim. Let
vlabodo [156]
R = laps she runs
s = laps she swims
each r (laps she runs) takes 5 min. 
each s (laps she swims) takes 3 min. 
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So your inequality should = 30 


5 0
3 years ago
8 batteries cost £3.99 how much does 1 cost
NemiM [27]

Answer:

1 battery cost .49875 cents, but .50 rounded

Step-by-step explanation:

Divide 3.99 by 8 and you will get .49875

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3 years ago
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