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AleksAgata [21]
3 years ago
12

Adelaide signed up for swimming lessons. Before start-

Mathematics
1 answer:
erica [24]3 years ago
5 0

The height of the higher board above the water surface is 12 feet.

The distance from the high dive to the bottom of the deep end is 24 feet.

<h3>What does division mean?</h3>

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

<h3>What is the height of the higher board above the water surface?</h3>

In order to determine the height of the higher board, divide the height of the lower board by 25%.

Height of the higher board = 3 feet / 25%

3 / 0.25 = 12 feet

<h3>what is the distance from the high dive to the bottom of the deep end?</h3>

12 feet + 12 feet = 24  feet

To learn more about division, please check: brainly.com/question/13281206

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Step-by-step explanation:


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Imagine cutting this shape into two semi-circles and one rectangle.

------------------------------------------------------------------------------------------------------

  • Each semi-circle has a diameter of 36 meters
  • The radius would be <em>(36/2) = </em>18 meters.

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<em>We know the area of a whole circle which is π</em>r^{2}<em />

  • The formula of area of a semi-circle:  1/2(πr^{2})

<em>because a semi-circle is basically half of the whole circle!</em>

<em />

However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.

<em>for reference: </em>

1/2(πr^{2}) + 1/2(πr^{2}) = 2/2(πr^{2}) = πr^{2}

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First, the area of rectangle: length times width = 84 x 36 = 3024 square meters

<em>Anyways, since we have to sub in 3.14 for π </em>

Area of a whole circle: (3.14 x r^{2}) = (3.14 x 18^{2}) = 1017.36 square meters

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3024 + 1017.36 = 4041.36 square meters

<h2>ANSWER: J </h2>
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3 years ago
Can anyone help me with calculus??
gogolik [260]

1. If f(x)=(x+1)^4, then f'(x)=4(x+1)^3. So f'(1)=32.

2. With x^2+y^2=1, we differentiate once with respect to x and get

\dfrac{\mathrm d}{\mathrm dx}[x^2+y^2]=\dfrac{\mathrm d}{\mathrm dx}1

2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy

Differentiate again with respect to x and we get

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{y-x\frac{\mathrm dy}{\mathrm dx}}{y^2}

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{y+\frac{x^2}y}{y^2}=-\dfrac{y^2+x^2}{y^3}=-\dfrac1{y^3}

(where y\neq0).

3. Check the one-side limits where the pieces are split. For f to be continuous everywhere, we need

\displaystyle\lim_{x\to-1^-}f(x)=\lim_{x\to-1^+}f(x)=f(-1)

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)

In the first case, we have

\displaystyle\lim_{x\to-1^-}f(x)=\lim_{x\to-1}x+2=1

\displaystyle\lim_{x\to-1^+}f(x)=\lim_{x\to-1}x^2=1

and f(-1)=1, so it's continuous here.

In the second case, we have

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}x^2=1

\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}3-x=2

so f is discontinuous at x=1.

4. If f(x)=3xe^x, then f'(x)=3e^x+3xe^x=3e^x(1+x)[tex]. So [tex]f'(0)=3.

5. If f(x)=(x+1)^2(x+2)^3, then f'(x)=2(x+1)(x+2)^3+3(x+1)^2(x+2)^2=(x+1)(x+2)^2(5x+7). So f'(0)=28.

6. The average velocity over [1, 2] is given by

\dfrac{s(2)-s(1)}{2-1}=(2^2+2)-(1^2+1)=4

7. If f(x)=\sin^2x, then f'(x)=2\sin x\cos x=\sin2x. So f'\left(\dfrac\pi4\right)=\sin\dfrac\pi2=1.

8. If f(x)=\log_23x, then

2^{f(x)}=3x\implies e^{\ln2^{f(x)}}=3x\implies e^{(\ln2)f(x)}=3x

Differentiating, we get

(\ln2)f'(x)e^{(\ln2)f(x)}=(\ln2)3xf'(x)=3\implies f'(x)=\dfrac1{(\ln2)x}

So f'(1)=\dfrac1{\ln2}.

9. If f(x)=\dfrac1{x^2}, then f'(x)=-\dfrac2{x^3}. So f'(1)=-2

10. If f(x)=-\dfrac{6x}{e^x+1}, then f'(x)=-\dfrac{6(e^x+1)-6xe^x}{(e^x+1)^2}=-\dfrac{6e^x(1-x)+6}{(e^x+1)^2}. So f'(0)=-\dfrac{12}4=-3.

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4 years ago
Nan is 20 year old. In 8 years,she will be twice as old as Clarisse.how old is clarisse now?
slega [8]

Answer:

6

Step-by-step explanation:

The equation for this problem would be c = (20 + 8) / 2 - 8. Add 20 and 8 to get 28, divide 28 by 2 to get 14, then subtract 8 to get 6.

8 0
2 years ago
3) BRAINLIEST &amp; 10+ POINTS!
Zanzabum

Answer:

44rad/sec

Step-by-step explanation:

1rev= 2pie

22 rev= 44pie

8 0
3 years ago
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