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2 years ago

Consider the following figure:

Mathematics

1 answer:

Solnce55 [7]2 years ago

3 0

Answer:

x=90

y=148

Step-by-step explanation:

Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.

With our given information we can add up the two given angles in the triangle which are 90 and 58

90+58=148

To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.

180-148=32

Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.

180-32=148

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The sample space of picking a 2

Alchen [17]

Answer:

$Pr = \frac{1}{15}$

Step-by-step explanation:

Given

See attachment for sample space

Required

$P(1\ Y\ and\ 1\ P)$

From the attached sample space, we have:

$n(S) =30$ ---- total outcomes

$n(PY) = 2$ --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)

So, the required probability is:

$Pr = \frac{n(PY)}{n(S)}$

$Pr = \frac{2}{30}$

$Pr = \frac{1}{15}$

The error is that; Carlos omitted the numerator

4 0

3 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

4 years ago

Which numbers are negative numbers? -3 45 -9 -7 31.5

svetlana [45]

Answer:

-3, -9, -7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Expand and simply a) 2(4c+5d)+3(c-3d) b) 6(3m+n)-4(m-n)

dezoksy [38]

Answer:

a. 11x + d

b. 15m + 10n

Step-by-step explanation:

a. 2(4c+5d) + 3(x-3d)

Break the brackets:

2*4c + 2*5d + 3*x - 3*3d

= 8x + 10d + 3x - 9d

Collect like termsL

= 8x + 3x + 10d - 9d

= 11x + 1d

b. 6(3m+n) - 4(m-n)

Break the brackets:

= 6*3m + 6*n - 3*m - 4*(-n)

= 18m + 6n - 3m - (-4n)

= 18m -3m + 6n + 4n

= 15m + 10n

Hope this helped :3

3 0

3 years ago

A triangle is translated by using the rule (x,y) (x-4,y+2) which describes how the figure is moved ?

earnstyle [38]

Answer:

4 units to the left and 2 units up.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers