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DIA [1.3K]
3 years ago
11

Can you plz help me I don’t understand

Mathematics
1 answer:
amid [387]3 years ago
6 0

The constant of proportionality is 5. For every time the total area "A" is multiplied by one the length is multiplied by 5.

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ΔDEF is similar to ΔABC as shown below, and x represents the length of segment EF.
Marysya12 [62]
Explaining- when you look at the vertex to the other vertex you see the length and that is when you multiply

Answer- A
4 0
2 years ago
Which one is the missing number? Help please
Readme [11.4K]
The answer is 2.
it’s adding 2 everytime!
5 0
3 years ago
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m
stira [4]
1.5 minutes = 90 second

The probability density function is

f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}

so the probability of interest is

\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx
\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx
\mathbb P(X>90)=\dfrac{200-90}{170}=\dfrac{11}{17}\approx0.6471
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E2%20%5Cleft%28%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%20
Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx

Let f(x) = \sqrt{1 + x^3}. Compute the inverse:

f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}

and we immediately notice that f^{-1}(x+1)=\sqrt[3]{x^2+2x}.

So, we can write the given integral as

\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx

Splitting up terms and replacing x \to x-1 in the first integral, we get

\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}

7 0
1 year ago
55 is 80% of what number? round to the nearest tenth, is necessary.
Sophie [7]

let the number = x

x*80/100 = 55

x = 5500/80

x=68.75

After rounding off, it will remain 68.75

4 0
3 years ago
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