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3 years ago

A triangle has an area of 24 cm2. The base is 12 cm, what is the height? Type your answer...

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

Answer:

Step-by-step explanation:

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3/5 and 0.4. Which number is the smallest?

jeyben [28]

0.4 is the answer, 3/5= 0.6

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3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

We select the positiv value.

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

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3 years ago

Multiply each binomial and find the coefficients.

Bas_tet [7]

Answers:

Row one: 1 and 1

Row two: 1, 2, and 1

Row three: 1, 3, 3, and 1

Row four: 1, 4, 6, 4, and 1

=========================================

Explanation:

Each value can be found in Pascal's triangle. You can also use the nCr combination formula to get each value. The nCr formula is

$_n C _r = \frac{n!}{r!(n-r)!}$

The value of n represents the row number. The r value is the column number, so to speak, for each row.

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3 years ago

Suppose a runner completes a 100-meter dash in 17.8 seconds during her first race. In the second race, she runs the 100-meter da

vesna_86 [32]

We know that the runner completed her first race in 17.8 seconds and that she completed her second race in 16.9 seconds. Then the difference between the first race and the second race is .9 seconds. Now we divide .9 by 17.8 and multiply by 100 to get the percent decrease. We get 5.06%. The percent decrease in her time is 5%.

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3 years ago

Given the parent function f(x) = 2^x, which graph shows f(x)+1?

Naddik [55]

Step-by-step explanation:

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

f(x + n) - move the graph n units to the left

f(x - n) - move the graph n units to the right

====================================================

We have f(x) = 2ˣ.

g(x) = f(x) + 1 - move the graph of f(x) one unit up.

(look at the picture)

7 0

3 years ago