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2 years ago

I DONT UNDERSTAND HOW TO DO THISSS PLEASE HELP

Mathematics

1 answer:

Fiesta28 [93]2 years ago

5 0

Answer:

inside

Step-by-step explanation:

All of the points on the circle are at distance 25 units from the center. If the questionable point is closer to the center than that, it is inside the circle.

The distance formula can be used.

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((5 -(-5))^2 +(-24 -(-8))^2) = √(10^2 +(-16)^2) = √(100 +256) = √356

d ≈ 18.9

The point (5, -24) is inside the circle centered at (-5, -8) with radius 25.

The equation of the circle is equivalent to d=25 using (x1, y1) as the center. It is usually written without the radical:

(x -(-5))^2 +(y -(-8))^2 = 25^2

(x +5)^2 +(y +8)^2 = 625

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" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a

ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

Taking the value of π = 3.14.

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = $2\frac{5}{8}=\frac{21}{8}\ inches.$

Thus radius (r) = Diameter ÷ 2 = $\frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.$

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}$

$Volume=3.14\times 1.31\times 1.31\times 2$

$Volume=10.78\ inches^3.$

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = $2\frac{7}{8} =\frac{23}{8} \ inches.$

Thus radius (r) = Diameter ÷ 2 $=\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.$

$Volume = \frac{4}{3} \pi r^3$

$Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}$

$Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44$

$Volume=12.47\ inches^3.$

The volume of one scoop of ice cream = 12.47 inches³.

So, as the volume of scoop of ice cream is more than the volume of cone.

Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.

Therefore, no the cone will not hold all of the ice cream.

5 0

2 years ago

A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in th

xz_007 [3.2K]

10% of all the cars is 20 limos.

20 * 10 = 200 cars total.

limos + vans + sedans = total cars
200 cars total - 20 limos - 60 vans = x sedans

x = 120 sedans

4 0

3 years ago

Read 2 more answers

What is -9x-(2x/-3) When x equals 7

yuradex [85]

$-9x- \frac{2x}{-3}$

$-9*(7) - \frac{2*7}{-3}$

$9*7 = 63$

$\frac{2*7}{-3} = \frac{14}{-3}$

Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$

$= - \frac{14}{3}$

$-63-( -\frac{14}{3} )$

Apply rule - ( - a) = a

$-63+ \frac{14}{3}$

Convert element to fraction :

$63 = \frac{63}{1}$

$-\frac{63}{1} + \frac{14}{3}$

Find the LCD 1*3 = 3

$- \frac{63*3}{3}+ \frac{14}{3}$

$\frac{-3+63+14}{3} = \frac{-175}{3}$

Apply the fraction rule : $\frac{a}{-b} = - \frac{a}{b}$ 

$= - \frac{175}{3}$

hope this helps!

4 0

3 years ago

6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .

vlada-n [284]

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

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3 years ago

Graph (-4,5), (2,3), (-3.0). (-4,-5). (-5. 2). and (-5.3) and connect the points to form a polygon. How many sides does the poly

Keith_Richards [23]

Answer:

Step-by-step explanation:

Source: Desmos.

When the points are plotted, the shape is a polygon. The polygon has 6 sides.

Picture represents the polygon shape, and its sides

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2 years ago