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xxTIMURxx [149]
3 years ago
11

You can model the entrance to a mine shaft using the equation

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
Hey there,

<span>You can model the entrance to a mine shaft using the equation
y = − 2 (x + 4)(x − 4), where x and y are measured in feet. The x-axis represents
the ground. Find the width of the entrance at ground level. 

Based by looking on this question above, your correct answer would be . . .

</span>\boxed{y=8} and \boxed{x=-1}
<span>
Hope this helps.
~Jurgen</span>
Furkat [3]3 years ago
4 0

y=-1/2 2 (x+4)(x+-4+

-1/2*2 = -1

y=-1(x+4)(x-4)

solving for x

x - -4 and x =4

-4 to 4 = 8 feet

 width = 8 feet

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3 years ago
A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle
MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

brainly.com/question/22972014

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8 0
1 year ago
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. Ho
disa [49]

Answer:

It would take Beth twelve minutes to wash the car herself

Step-by-step explanation:

If they do it together in 6 minutes.

& Katy can do it in 18 minutes alone

Then 18 - x = 6

replace x for twelve

18 - twelve = 6

Ans: twelve

7 0
3 years ago
Find a10 given the geometric sequence 3, 12, 48, 192, ...
notka56 [123]

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

                       = 12 ÷ 3

                      r = 4

a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432

3 0
3 years ago
If a and b are positive constants and if a(x-y) = b(y-x), what is the value of the ratio of x/y?
Mekhanik [1.2K]

Answer: x/y=1

Step-by-step explanation:

a(x-y)=b(y-x)

(a+b)x=(a+b)y

x/y=1 ans

hope this helps

8 0
3 years ago
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