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3 years ago

Can someone help me wit #4 plzz

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Answer: It represents the area of the two circular sides ("lids")

Explanation:

Imagine you made a cylinder out of 3 pieces of paper. The cylinder can be decomposed into two circular shapes (radius r) and one rectangular piece with two side lengths: one is "h", the other has to be long enough to go around each of the disks, so it has to be 2*pi*r long.

So the term 2*pi*r*h is the area of the rectangular piece and pi*r^2 is the area of each of the "lids" Since there are two of those, the term 2*pi*r^2 represents the area of the bottom and top lids.

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Find the coordinates of midpoint F.

Mice21 [21]

Answer:

The coordinates are (0,b)

Step-by-step explanation:

Here, we want to find the coordinates of the midpoint F

as we can see, F is between A and B

we proceed to use the midpoint formula

The midpoint formula is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x1,y1) = (-3a, b)

(x2,y2) = (3a, b)

The substitution of these values will thus yield;

(-3a + 3a)/2, (b + b)/2

= (0/2), (2b/2)

= (0, b)

4 0

3 years ago

A carnival uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to

Lelechka [254]

*I've tried looking up to see if I can find what the part B and c of this question is, but unfortunately, I can't find them. However, I have tried answering this question by answering part a, and also going ahead to answer how to state and explain the secrets of winning the game. I'm pretty sure most of the questions would be answered in the process.

Answer/Step-by-sep explanation:

Using an equation, in slope-intercept form, we can derive an equation that models the relationship of the height of each basket and the number of balls it contains.

The slope-intercept form is given as: $y = mx + b$ , where,

m = slope/rate of change

b = y-intercept/strating value/height of the basket when it's empty.

✍️Baseball Equation:

Using two pairs, (0, 54) and (5, 39) from the given table of values,

Slope/rate of change (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{39 - 54}{5 - 0} = \frac{-15}{5} = -3$ .

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 54

This means that the baseball basket was at a height of 54 units when it was empty.

m = -3, means the baseball basket kept reducing at an average rate of -3 units in height as each ball was added.

To derive the baseball equation, substitute m = -3, and b = 54 into $y = mx + b$ .

✅Thus, base ball equation would be:

$y = -3x + 54$

✍️Golf Ball Equation:

Using two pairs, (0, 45) and (5, 35) from the given table of values,

Slope/rate of change (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 45}{5 - 0} = \frac{-10}{5} = -2$ .

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 45

This means that the golf ball basket was at a height of 45 units when it was empty.

m = -2, means the golf ball basket kept reducing at an average rate of -2 units in height as each ball was added.

To derive the baseball equation, substitute m = -2, and b = 45 into $y = mx + b$ .

✅Thus, golf ball equation would be:

$y = -2x + 45$

Now, to win the game, we have to find out how many number of exact balls (x) we need to add in each basket equally, for both baskets to be at the same height.

To do this, set the equation of the baseball equal to that of the golf ball.

Thus:

$-3x + 54 = -2x + 45$

Collect like terms

$-3x + 2x = -54 + 45$

$-x = -9$

Divide both sides by -1

$x = 9$

✅To win the game, add 9 balls each to both basket to make the height of both baskets equal.

Let's check to see if both baskets will yield the same height if we add 9 balls each basket.

✍️Height (y) of Golf ball basket if we add 9 balls (x):

Substitute x = 9 into $y = -2x + 45$

$y = -2(9) + 45 = -18 + 45$

$y = 27 units$

✍️Height (y) of Baseball basket if we add 9 balls (x):

Substitute x = 9 into $y = -3x + 54$

$y = -3(9) + 54 = -27 + 54$

$y = 27 units$

✅As we can see, both baskets will be at the same height of 27 units when we add 9 balls to each basket.

The game will be won if we do this.

6 0

3 years ago

How many degrees is angle “X”?

aleksley [76]

Answer:

The answr is 102 degrees. Here's why

Step-by-step explanation:

The square means the angle is 90 degrees. Therefore, for the big triangle, we already know 2 of the degrees, 50 and 90. A triangle's degrees add up to 180. 50+90=140. 180-140=40. This means the top angle is 40. Now finding X is easy, because we already know the other 2 points in the triangle, which are 38 and 40. Add those up, you get 78. 180-78=102, your answer. The triangle is 102 degrees.

6 0

3 years ago

Read 2 more answers

How do I find the Axis of Symmetry for a parabola

soldier1979 [14.2K]

Answer:

Explanation given below.

Step-by-step explanation:

The first step is to put the parabola in the form $ax^2+bx+c$ , which is the standard form of a parabola