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Black_prince [1.1K]
3 years ago
5

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length

of the altitude?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
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Which of the following of x makes the rational expressions below undefined
alisha [4.7K]

A rational expression is undefined if the denominator is zero. Since the denominator is x+13, the expression is undefined if

x+13 = 0 \iff x=-13

5 0
2 years ago
(1+2i) (2+5i)
Lostsunrise [7]

Answer:

Step-by-step explanation:

first multiply 1 with 2+5i then multiply 2i with 2+5i and you will get

2+5i+4i+10i^2

then in the next step add 4i and 5i you will get 9i

in the next step put i^2=-1 and you will get -10

in the last step just substract 2-10 you will get -8 and 9i

and your answer will be -8+9i

5 0
3 years ago
Solve dis attachment and show all work ( I got it all wrong and I want to know how to solve it )
DedPeter [7]
(a) First find the intersections of y=e^{2x-x^2} and y=2:

2=e^{2x-x^2}\implies \ln2=2x-x^2\implies x=1\pm\sqrt{1-\ln2}

So the area of R is given by

\displaystyle\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\left(e^{2x-x^2}-2\right)\,\mathrm dx

If you're not familiar with the error function \mathrm{erf}(x), then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.

(b) Find the intersections of the line y=1 with y=e^{2x-x^2}.

1=e^{2x-x^2}\implies 0=2x-x^2\implies x=0,x=2

So the area of S is given by

\displaystyle\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}(2-1)\,\mathrm dx+\int_{1+\sqrt{1-\ln2}}^2\left(e^{2x-x^2}-1\right)\,\mathrm dx
\displaystyle=2\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\mathrm dx

which is approximately 1.546.

(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve y=e^{2x-x^2} and the line y=1, or e^{2x-x^2}-1. The area of any such circle is \pi times the square of its radius. Since the curve intersects the axis of revolution at x=0 and x=2, the volume would be given by

\displaystyle\pi\int_0^2\left(e^{2x-x^2}-1\right)^2\,\mathrm dx
5 0
3 years ago
Help me check my answer!
astra-53 [7]

Step-by-step explanation:

ah, here you go.

come on, now. you know this now ...

again, mutually exclusive attributes in the table (no overlap here) allow us to add the numbers for a total :

4+2+12+10 = 28 students in total.

how many of those 28 fulfill our desired criteria (has a brother) ?

well, it is the sum of the column "has a brother", as it does not matter, if there is also a sister or not.

so, it is 4 + 12 = 16

therefore, the probability to pick a student randomly, who has a brother is

16/28 = 4/7 = 0.571428571...

5 0
2 years ago
a bag contains 6 red 4 blue and 8 green marbles how many of each color should be added so that the total number of marbles is 27
PSYCHO15rus [73]
You would need to add 3 marbles to each group.

4 0
3 years ago
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