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stealth61 [152]
3 years ago
8

A cube has a volume of 125 cubic inches. What is the volume of the largest sphere that will fit in the cube?

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0
Volume of cube=125
each side of cube measures=cube root of 125=5cm
so volume of largest sphere=4/3*pie*5*5*5
=523.33333
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Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?
kumpel [21]

If a, b and c are the lengths of a right triangle and c is the longest side, then:

a^2+b^2=c^2

We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:

L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s

<h3>Answer: It's the right triangle.</h3>
6 0
3 years ago
Caroline is making some table decorations.
eduard

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.  

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations  

Click to let others know, how helpful is it

5 0
3 years ago
Can you help me figure out the slope of this line?<br> please and thx<br> ASAP.
KonstantinChe [14]


The rise is the vertical distance between the two points, which is the difference between their y-coordinates. That makes the rise y2 − y1. The run between these two points is the difference in the x-coordinates, or x2 − x1.
8 0
3 years ago
A bug was running along a number line at a speed of 11 units per minute. It never changed its direction. If at 7:15 it was at th
barxatty [35]

Answer:

155 Units

Step-by-step explanation:

Rate of Bug (given) = 11 units PER MINUTE

It never changed direction, so it was going in positive direction (assume).

In 7:15 pm (evening), it was at Point 100,

We want the point at which it was at 7:20 pm.

7:20pm - 7:15pm = 5 minutes

So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:

11 * 5 = 55 units

Assuming he is going in positive direction, the bug will be at:

100 + 55 = 155 Units

8 0
3 years ago
Read 2 more answers
30 POINTS!!! WILL MARK BRAINLIEST IF YOU SHOW ALL YOUR WORK!!!
Alborosie

Answer:

Part A: (2x−5)(x+2)

Part B: (5/2,0) and (-2,0)

Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.

Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.

Step-by-step explanation:

2x^2-3x-5=y

(2x-5)(x+1)=y

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

you have an even degree (2) and a positive coefficient (2)

therefore as x---> -∞, f(x)----> +∞

also, as x----> +∞, f(x)----> +∞

also notice that this is a parabola that opens upwards so both "ends" approach positive infinity

plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a

Mark brainliest please.

3 0
3 years ago
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