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3 years ago

What is the area of an equilateral triangle with perimeter 24 inches?

Mathematics

1 answer:

Anna11 [10]3 years ago

8 0

Divide the perimeter by 3 to get 8 then use the equation for the area of a triangle (a= BH1/2) and your answer is 32

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46.The function f graphed above is the function f(x) = log2(x) + 2 for x > 0. Find a formula for the inverse of this function

pantera1 [17]

Answer:

The inverse for log₂(x) + 2 is - log₂x + 2.

Step-by-step explanation:

Given that

f(x) = log₂(x) + 2

Now to find the inverse of any function we put we replace x by 1/x.

f(x) = log₂(x) + 2

f(1/x) =g(x)= log₂(1/x) + 2

As we know that

log₂(a/b) = log₂a - log₂b

g(x) = log₂1 - log₂x + 2

We know that log₂1 = 0

g(x) = 0 - log₂x + 2

g(x) = - log₂x + 2

So the inverse for log₂(x) + 2 is - log₂x + 2.

3 0

4 years ago

2 fractions have the same denominator. Which is the greater fraction: the fraction with the greater numerator or thr lesser nume

irinina [24]

If two fractions have the same denominator, that means the total number of parts is the same. For example, you have two batches of cookies, which each have 8 cookies.

But the numerator tells you the number of parts you are dealing with. Going back to our cookie example, say you ate 3 cookies and your little brother only had 1. If you ate 3 cookies, you ate 3/8 of the cookies. Your little brother ate 1/8 of the cookies.

So, which one is the greatest fraction? In this case, who had more cookies? That would be you. So, the greater numerator means a greater fraction.

Answer: the fraction with the greater numerator

5 0

3 years ago

Urgent, please i will give brainliest

Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$

Third answer is right.

3 0

3 years ago

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(06.03)

shusha [124]

Answer:

I just need popints

Step-by-step explanation:

I just need points

7 0

3 years ago

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Under which conditions does the molar volume of a gas decrease? A. at 273 K and at 2.0 atm. B. at 273 K and at 0.5 atm. C. at 40

Sloan [31]

We first assume that this gas is an ideal gas and we use the ideal gas equation to determine the answer. It is expressed as:

PV = nRT

Molar volume can be obtained from the equation by V/n.

V/n = RT/P

Therefore, the correct answer from the choices listed above is option A, at 273 K and at 2.0 atm.

7 0

3 years ago

Read 2 more answers