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GenaCL600 [577]
2 years ago
11

A scientist makes spherical magnets. Each magnet has a radius of 1.02 cm. They are stored away in boxes of 250. Calculate the vo

lume of 250 magnets, to the nearest cubic cm. Use 3.14 for pi
Mathematics
1 answer:
Mrac [35]2 years ago
5 0

Answer:

The volume of 250 magnets is 625cm³

Step-by-step explanation:

We know that the formula to calculate the volume of a sphere is

v = 3/4 * π * r³

π = 3.14

r = 1.02cm

we replace the values ​​and calculate the volume of a sphere

v = 3/4 * 3.14 * (1.02cm)³

v = 3/4 * 3.14 * 1.061208cm³

v = 2.49914484cm³

to calculate the volume of 250 spheres we simply multiply by 250

250 * 2.49914484cm³ = 624.78621

if we round to the nearest cubic cm

624.78621cm³ = 625cm³

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Es urgente ¡¡¡ si la MH de a y 4 es 6 y la MH de 8 y b es 12 calcula la MH de a y b
TiliK225 [7]

Answer:

Sabemos que:

MH(x, y) = \frac{2xy}{x+y}

y tenemos que:

MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

7 0
2 years ago
In the figure, line L1 is parallel to line L2. If the measure of ∠4 = 144°, what is the measure of ∠6 and why? A. 144°, vertical
Brrunno [24]

Answer:the answer is B

Step-by-step explanation:

7 0
2 years ago
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At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve
stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

<em><u>Solution:</u></em>

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

y-y_1 = m(x-x_1)

Where, "m" is the rate of change

(x_1, y_1) is the sample point

From given,

m = 12

(x_1, y_1) = (4, 68)

Therefore,

y - 68 = 12(x-4)

y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

<em><u>Find the cost to rent the canoe for 7 hours</u></em>

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

4 0
2 years ago
7. If SK = 13x - 5, KY= 2x + 9, and SY = 36-x, find each value.
sweet [91]

Answer:

SY=34, SK=21 and KY=13

Step-by-step explanation:

we have that

SY=SK+KY

substitute the given values

(36-x)=(13x-5)+(2x+9)

solve for x

36-x=15x+4

15x+x=36-4

16x=32

x=2

<em>Find the value of SY</em>

SY=(36-x)=36-2=34

<em>Find the value of SK</em>

SK=(13x-5)=13(2)-5=21

<em>Find the value of KY</em>

KY=(2x+9)=2(2)+9=13

5 0
2 years ago
Which graph represents the equation x2 = 8y?
UNO [17]
Direction: Opens up
Vertex: (0,0)
Focus: (0,2)
Axis of Symmetry: x=0
Directrix: y=-2
4 0
2 years ago
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