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ExtremeBDS [4]
3 years ago
13

What is the area of a cone that has a diameter of 45ft. and the height of the cone is 96 ft.

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

The formula for area of a cone is A=πr(r+√h²+r²). The radius is half the diameter, so 22.5.

Plug our numbers into the formula.

A=π22.5(22.5+√96²+22.5²)

the answer is 8560.16

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
Greensboro gets 12 times as many inches of snow as Redville gets. Altoghter, the two towns gets 65 inches of snow.How many inche
Tomtit [17]
Inches of snow Greensboro gets = g
Inches of snow Redville gets = r

\left \{ {{g=12r} \atop {g+r=65}} \right.  \\  \\ (12r)+r=65 \\ 13r=65 \\ r=5

Redville gets 5 inches of snow.
6 0
3 years ago
How do You solve 2x-5=2x-6
faltersainse [42]

Step-by-step explanation:

2x-5=2x-6. First you collect like terms

2x-2x=-6+5

0=-1

This statement is false 0≠-1

7 0
3 years ago
Read 2 more answers
I need help desperitly
topjm [15]
Number one is 12. There is 12 cubes.
8 0
3 years ago
Use an inequality symbol (&lt;,&gt;,=,&lt;_) to compare -3+7____-10-2
Oliga [24]

Answer:

>

Step-by-step explanation:

-3+7= 4

-10-2= -12

4> -12

6 0
3 years ago
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