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3 years ago

How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

Step-by-step explanation:

the volume of the cone = ⅓×3.14×20²×h

8,792 = 1,256 h/3

=> h = 3×8,792/1,256

= 21 mm

the height of the cone = 21 mm

the slant s = √20²+21²=√400+441

=√941 = 29 mm

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Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas

BartSMP [9]

Answer:

Small candies $=9$

Extra large candies $=12$

Step-by-step explanation:

Let small candies $=x$

Extra large candies $=y$

the number of candies is at least $20$ .

$x+y\geq20$

Cost of $1$ small candy $=\$4$

Cost of $1$ extra large candy $=\$12$

but she has only $\$180$ to spend

$4x+12y\leq180$

Solve for

$x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}$

Since number of candies should be integer.

let $x=7,y=13$

total spend $4\times7+12\times13=184$ which is more than $\$180$ , so this combination is not possible.

$let\ x=8,y=12\\8\times4+12\times12=176$

She has $\$4$ more so she can buy $1$ more small candy.

Hence small candy $=9$

extra large candy $=12$

4 0

3 years ago

Explain the relationship between multiplying and diving by 10, 100, and 1,000 and moving the decimal point to the right or to th

zhannawk [14.2K]

If you're multiplying by 10, you're moving the decimal point to the right, the same with any multiplication in the 10's, so 100, 1,000, etc. This is because you are making the number 10 times larger, so if you had 3.4, the 4 is in the 1/10 column so multiplying by 10 would put it in the units column, making the number 34.

On the other hand, dividing by the 10's makes the decimal point move to the left because you are making the number 10 times smaller, so if the units column is worth 1, then 10 times less than that is 1/10, which is the first decimal place.

I hope this helps! I tried to explain it well but let me know if you still don't understand or if I've confused you in any way :)

5 0

3 years ago

Please help me on this I’m so tired and I can’t sleep until my progress is at 80 and this is the end of my year it’s at 79%

Mice21 [21]

Answer: The bottom one is the answer

Step-by-step explanation:

The one on the right wouldn't be correct because histograms are supposed to always be connected from the beginning of it.

The one on the left is ignoring the fact that 40-59 and 60-79 are two different periods of minutes.

So the only correct on would be the bottom one.

5 0

4 years ago

Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?

olganol [36]

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

b = -1

Now we replace b with -1.

y = (1/3)x - 1

8 0

3 years ago

there are 3 liters of apple juice at a school party. 10 students want to drink all the apple juice, Andi all want to get exactly

pochemuha

Answer:

0.3 L

Step-by-step explanation:

3 L / 10 students = 3/10 = 0.3 Liters per student

4 0

3 years ago