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True [87]
4 years ago
6

The lengths of two sides of a triangle are 3 cm and 7 cm. What can you conclude about the maximum length of the third side of th

e triangle?
A
The maximum length of the third side must equal 10 cm.
B
The maximum length of the third side must be greater than 10 cm.
C
The maximum length of the third side must be less than 10 cm.
D
The maximum length of the third side must equal 4 cm.
Mathematics
1 answer:
kirill [66]4 years ago
7 0

Answer:

B

Step-by-step explanation:

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Answer:

120°

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

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3 years ago
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200 inches bc 10x10 +10x10 is 200
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Y = -5x + 15 2x + y = 12
Nana76 [90]

Answer:

x = 1, y = 10

Step-by-step explanation:

y = -5x + 15 --- Equation 1

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Substitute y = -5x + 15 into Equation 2:

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2x - 5x + 15 = 12

Evaluate like terms.

15 - 3x = 12

Isolate -3x.

-3x = 12 - 15

Evaluate like terms.

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Find x.

x = -3 ÷ -3

x = 1

Substitute x = 1 into Equation 2:

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2(1) + y = 12

2 + y = 12

Isolate y.

y = 12 - 2

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3 years ago
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A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall . Eli packs the prism with unit cubes to find the volume.
bulgar [2K]

Answer:

V=96\ inch^2

Step-by-step explanation:

Given that,

A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall.

We need to find the volume of the rectangular prism. The formula for the volume of prism is given by :

V=lbh\\\\V=4\times 3\times 8\\\\V=96\ inch^2

So, the volume of the prism is equal to 96\ inch^2.

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