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Wittaler [7]
4 years ago
12

Anita needs to construct ten cones for a class project. How many square feet of material will she need if the diameter is 6ft an

d the height is 12ft? Use 3.14 for pi
Mathematics
1 answer:
iris [78.8K]4 years ago
8 0
Assuming that Anita needs hollow right circular cones, we are solving for its lateral surface area, which is given by the formula πr√(h²+r²), where r is the radius and h is the height.
r = 6 ft / 2 = 3 ft

Solving for the lateral surface area of one cone:
LSA = (3.14) (3) [√(12²+3²)] = 116.52 sq ft.

Since she needs 10 cones:
10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.
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Step-by-step explanation:

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3 years ago
0.96 is 1/10 of what?
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0.96*10 is 9.6.

Step-by-step explanation:

3 0
3 years ago
What is the total resistance of a parallel circuit that has three loads? Load one has a resistance of 6 ohms. Load two has a res
gizmo_the_mogwai [7]

Answer:

The total resistance of these three resistors connected in parallel is 1.7143\Omega

Step-by-step explanation:

The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel: R_1=6\Omega, R_2=3\Omega and R_3=12\Omega.

<u>First step: to find the source current</u>

The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors (R_1, R_2 and R_3).

I_{R_1}=\frac{V_S}{R_1}

I_{R_2}=\frac{V_S}{R_2}

I_{R_3}=\frac{V_S}{R_3}

The total current is:

I_S=I_{R_1}+I_{R_2}+I_{R_3}=\frac{V_S}{R_1}+\frac{V_S}{R_2}+\frac{V_S}{R_3}=\frac{R_2\cdot R_3 \cdot V_S+R_1\cdot R_3 \cdot V_S+R_1\cdot R_2 \cdot V_S}{R_1\cdot R_2\cdot R_3}

I_S=V_S\cdot \frac{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}{R_1\cdot R_2\cdot R_3}

The total resistance (R_T) is the source voltage divided by the source current:

R_T=\frac{V_S}{I_S}

Now, replace I_S by the previous expression and the total resistance would be:

R_T=\frac{V_S}{V_S\cdot \frac{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}{R_1\cdot R_2\cdot R_3}}

Simplify the expression and you must get:

R_T=\frac{R_1\cdot R_2\cdot R_3}{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}

The last step is to replace the values of the resistors:

R_T=\frac{(6\Omega )\cdot (3\Omega)\cdot (12\Omega)}{(3\Omega)\cdot (12\Omega)+(6\Omega)\cdot (12\Omega)+(6\Omega)\cdot (3\Omega)}=\frac{12}{7}\Omega=1.7143\Omega

Thus, the total resistance of these three resistors connected in parallel is 1.7143\Omega

4 0
3 years ago
Decrease £2155.45 by 18.5% Give your answer rounded to 2 DP ​
RSB [31]

Answer:

£1756.70

Step-by-step explanation:

2155.45 * .185 = 398.75825

21.55.45 - 398.75825 = 1756.69175

Hope this helps

3 0
3 years ago
Read 3 more answers
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