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Hoochie [10]
3 years ago
10

a scientist makes sphere spherical magnets each wagon has a radius of 1.02 centimeters they are stored away in boxes of 250 calc

ulate the volume of 250 magnets to the nearest cubic meter using 3.14 for pifind the volume of the sphere shown 15cm give your answer rounded to the nearest cubic unit using 3.14 for pi ​
Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

1,111 cm cubed

Hope it helps!

Step-by-step explanation:

1.02 (radius) cubed x 3.14 x 4/3     (sphere volume formula)

=4.44292416 cm cubed

4.44292416 x 250 (magnets amount) = 1,110.73104

1,110.73104 rounded to nearest whole cubic unit

1,111 cm cubed

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Given: sin(18m-12)=cos(7m+2), find the value of m.
V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

3 0
3 years ago
I need help answering this equation (4+5)÷3×4=
masya89 [10]
4+5=9 divided by 3 is 3 times 4 is 12. so it's 12

hope this helps;)

7 0
3 years ago
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2 Points
pav-90 [236]
Subtract 15 from both sides.
28-15=13
X=13
7 0
3 years ago
Select all of the situations below that can be modeled by the expression 4 + 3x.
Hatshy [7]

Answer:

1 2 3

Step-by-step explanation:

3 0
3 years ago
The hypotenuese of an isosceles right triangle is 13 inches. The midpoints of its sides are connected to form an inscribed trian
Georgia [21]

Answer:

The Sum of the areas of theses triangles is 169/3.

Step-by-step explanation:

Consider the provided information.

The hypotenuse of an isosceles right triangle is 13 inches.

Therefore,

x^2+x^2=169\\2x^2=169\\x=\frac{13}{\sqrt{2} }

Then the area of isosceles right triangle will be: A=\frac{1}{2} x^2

Therefore the area is: A=\frac{169}{4}

It is given that sum of the area of these triangles if this process is continued infinitely.

We can find the sum of the area using infinite geometric series formula.

S=\frac{a}{1-r}

Substitute a=\frac{169}{4} \ and\ r=\frac{1}{4} in above formula.

S=\frac{\frac{169}{4}}{1-\frac{1}{4}}

S=\frac{\frac{169}{4}}{\frac{3}{4}}

S=\frac{169}{3}

Hence, the Sum of the areas of theses triangles is 169/3.

7 0
2 years ago
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