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3 years ago

A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What's the height if the prism?

Mathematics

1 answer:

almond37 [142]3 years ago

4 0

Answer: For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Step-by-step explanation:

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Solve the equation. Round to the nearest hundredth. Show work.

muminat

Answer:

Final answer is approx x=0.16.

Step-by-step explanation:

Given equation is $2.8\times 13^{4x} +4.8 = 19.3$

Now we need to solve equation $2.8\times 13^{4x} +4.8 = 19.3$ and round to the nearest hundredth.

$2.8\times 13^{4x} +4.8 = 19.3$

$2.8\times 13^{4x} = 19.3-4.8$

$2.8\times 13^{4x} = 14.5$

$13^{4x} = \frac{14.5}{2.8}$

$13^{4x} = 5.17857142857$

$\log(13^{4x}) = \log(5.17857142857)$

$4x \log(13) = \log(5.17857142857)$

$4x = \frac{\log(5.17857142857)}{\log\left(13\right)}$

$4x = 0.641154659628$

$x = \frac{0.641154659628}{4}$

$x = 0.160288664907$

Round to the nearest hundredth.

Hence final answer is approx x=0.16.

4 0

4 years ago

Here is a list of numbers: 6 , 14 , 1 , 16 , 16 , 14 , 15 , 9 , 11 , 10 State the median.

zvonat [6]

Answer:

12.5

Step-by-step explanation:

8 0

3 years ago

There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui

aleksklad [387]

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

3 0

3 years ago

A mother is 13/4 times as tall as her son. Her son is 3 feet tall how tall is the mother.

Kazeer [188]

They’re both really y’all

7 0

3 years ago

Read 2 more answers

Which expression shows that the quotient

Harrizon [31]

Answer:

Option (2)

Step-by-step explanation:

Given expression is $\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

We further simplify this expression,

$\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

= $\frac{2}{(3x-1)}\times \frac{6x-1}{6}$

= $\frac{6x-1}{3(3x-1)}$

= $\frac{6x-1}{(9x-3)}$

Therefore, $\frac{6x-1}{(9x-3)}$ will be the quotient of the given expression.

$x\neq \frac{1}{3}$ and $x\neq \frac{1}{6}$ for which the given expression is not defined.

Option (2) will be the answer.

6 0

3 years ago