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laila [671]
2 years ago
8

the rectangular pool at your swim club is 100 meters long and 50 meters wide. how many more meters will you swim if you go along

the edges of the pool rather than diagonally across the pool? round to the nearest tenth. ​
Mathematics
1 answer:
LenKa [72]2 years ago
8 0
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A and B are complementary angles. If m_A= (2x + 10)° and m
stepladder [879]

Step-by-step explanation:

<A + < B = 90° { being complementary angles)

2x + 10° + 3x + 15° = 90°

5x = 90° - 15° - 10°

5x = 65°

x = 13°

Now

<B = 3x + 15° = 3 *13° + 15° = 54°

Hope it will help :)

3 0
2 years ago
An equation of the line tangent to y=sin x + 2cosx at (pi/2, 1) is?
Lina20 [59]

Answer:

B.   2x + y = pi + 1.

Step-by-step explanation:

y = sin x + 2 cos x

The slope of a line tangent is the derivative, so:

y' =  cos x - 2 sin x

At  (pi/2, 1) , substituting for x:-

cos pi/2 - 2 sin pi/2

= 0 - 2 * 1 = -2.

So the slope is - 2 and an equation  can be found by using the point-slope formula:

y - y1 = m(x - x1) so:

y - 1 = -2(x - pi/2)

y = -2x + pi + 1  

2x + y = pi + 1.

6 0
3 years ago
The radius of the circle is 7cm. What is the area of the circle in cm2? Leave the answer in pi.
vredina [299]
The answer is A.) 49 π
3 0
2 years ago
Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa
german
\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145\times7500\approx10.86 scores above 600.
5 0
3 years ago
The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

s = \sqrt{24200}

s = \sqrt{242 \times 100}

s = \sqrt{100 \times 121 \times 2}

s = 10 \times 11\sqrt{2}

s = 110\sqrt{2}

P = 4s

P = 4 \times 100 \sqrt{2}

P = 440 \sqrt{2}

The perimeter is irrational.

3 0
3 years ago
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