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n200080 [17]
3 years ago
14

An angle measures 70 degrees. Identify the type of angle

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:

Acute

Step-by-step explanation:

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Find the area of the circle x^2+y^2=16 by the method of intregration
zhuklara [117]

Answer:

Hello,

16\pi

Step-by-step explanation:

I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\

4 0
3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.90 for every 0.75 mile she bikes. If Emily bikes 15 miles, h
Kay [80]
18 because 15÷0.75 is 20. 20×.90 is 18. -JZ
5 0
3 years ago
The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
Taya2010 [7]

Answer:

p(x) = 0.1x + 1

Step-by-step explanation:

Pressure at sea level = 1 atmosphere

Depth dove by Sydney = 23 meters

Pressure at a depth of 23 meters = 3.3 atmospheres

So,

Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney

where k is  the diving rate constant

=> 3.3 = 1 + k(23)

=> 3.3 = 23k + 1

Subtracting 1 from both the sides, we get

3.3 - 1 = 23k + 1 -1

Cancelling out the +1 and -1 from the right side, we get

2.3 = 23k

=> 23k = 2.3

Dividing both sides by 23, we get

\frac{23k}{23} = \frac{2.3}{23}

Cancelling out the 23's from the top and bottom of the left side, we have

k = 0.1

Plugging in the value of k in the equation, we get

Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney

p(x) = 1 + k(x)     [where p(x) is the pressure at a depth x]

=> p(x) = 1 + 0.1(x)

=> p(x) = 0.1x + 1

5 0
3 years ago
What is an acute angle?
tatyana61 [14]

Answer:

An acute angle is less than 90°.

An obtuse angle is more than 90°.

Step-by-step explanation:

Sorry if wrong didn't really get the question I'm a little slow

7 0
3 years ago
the memory card on a digital camera can hold about 430 pictures.briana used 20% of the memory card while taking pictures at a fa
Dahasolnce [82]

Answer:

86

Step-by-step explanation:

I am pretty sure.

5 0
3 years ago
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