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tester [92]
3 years ago
10

Use the diagram above to answer questions 1-6

Mathematics
2 answers:
-Dominant- [34]3 years ago
5 0
Where is the diagram
sveticcg [70]3 years ago
4 0

Answer:

What is the diagram?

Step-by-step explanation:

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What is the most efficient way to solve the equation?<br> 5j = 40
Maru [420]

Answer: j = 8

Step-by-step explanation: To solve for <em>j</em> in this equation, we want to get <em>j</em> by itself on the left side of the equation. Since <em>j</em> is being multiplied by 5, to get <em>j</em> by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.

On the left side, notice that the 5's cancel out so we are simply left with <em>j</em>. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.

Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.

3 0
3 years ago
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Find the volume of the largest circular cone that can<br> beinscribed in a shpere of radius 3.
Aleksandr [31]

Answer:

V =\dfrac{32}{3}\pi

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

V = \dfrac{1}{3}\pi r^2h

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

V = \dfrac{1}{3}\pi x^2(3+y)

Applying Pythagoras theorem

x² + y² = 3²

x = \sqrt{9-y^2}

V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)

V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)

V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)

differentiating both side

\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)

for maxima  \dfrac{dV}{dy} = 0

\pi ( 3-2 y - y^2)=0

 y² + 2 y - 3 = 0

(y+3)(y-1)=0

 y = 1,-3

y cannot be negative so, volume at y = 1

V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)

V =\dfrac{32}{3}\pi

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume  V =\dfrac{32}{3}\pi

5 0
3 years ago
Solve for x to the nearest 10th
ZanzabumX [31]

Answer:

X? or  question???????

Step-by-step explanation:

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3 years ago
Joaquin recorded a temperature of 62°F this morning for science class. The temperature increased 6 1/2°F in the afternoon before
Tcecarenko [31]
Add 6.5 to 62 then subtract 8.7 to get 59.8
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The scatter plot shows the amount of time Oscar played and the number of points he scored during each basketball game. Which des
Andru [333]

Answer:

Positive, linear equation.

Step-by-step explanation:

Even though the graphs coordinates looks a little dicey, all of the points are still going upward which is a positive linear equation.

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