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Alinara [238K]
3 years ago
14

BRAINLIEST PLUS 22 POINTS

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0
Hi there!

Angles that are complementary add up to 90. We know that in order to find the value of x, we'll need to create an equation. This equation would be (x + 15) + 48 = 90. This is because, together, the two angles must add up to 90.

ANSWER:
D - (x + 15) + 48 = 90

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
Rainbow [258]

Answer: A = 58

Step-by-step explanation: The sketched region enclosed by the curves and the approximating rectangle are shown in the attachment.

From the sketches, the area will be integrated with respect to y.

To calculate the integral, first determine the limits, which will be the points where both curves meet.

In respect to y:

2x+y^{2} = 48

2x= 48- y^{2}

x= 24 - \frac{y^{2}}{2}

Finding limits:

y= 24 - \frac{y^{2}}{2}

24 - \frac{y^{2}}{2}-y=0

Multiply by 2 to facilitate calculations:

48 - y^{2}-2y=0

Resolving quadratic equation:

y=\frac{-2+\sqrt{2^{2}+192} }{2}

y = 6 and y = -8

Then, integral to calculate area will be with limits -8<y<6:

A = \int {24-\frac{y^{2}}{2}-y } \, dy

A = 24y - \frac{y^{3}}{6}-\frac{y^{2}}{2}

A = 24.6 - \frac{6^{3}}{6}-\frac{6^{2}}{2}-[24.(-8) - \frac{(-8)^{3}}{6}-\frac{(-8)^{2}}{2}]

A = 58

<u>The area of the enclosed region is 58 square units.</u>

7 0
3 years ago
How is the space between consecutive whole numbers divided on the number line?
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I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT

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2 years ago
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ss7ja [257]

Answer:

a.) 1/2

b.) 1/8

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Step-by-step explanation:

for A it is asking for probability of 1 and is 1/2 of the circle

for B it is asking for  probability of 3 and it is 1/2 of and 1/4 of the circle so 1/8

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