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Natasha_Volkova [10]
2 years ago
8

HELP ME FAST PLEASE I NEED THIS VERY SOON!!! you’d be a lifesaver omg

Mathematics
2 answers:
madam [21]2 years ago
6 0

712 is the answer of this question

Molodets [167]2 years ago
3 0
The answer would be 712

Explanation:

600

+

112

———

712
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A cone shaped cup has a radius of 4 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inc
mihalych1998 [28]
7488in3 in direct form of the eqation is the biggest answer but put 554in3 if in the parlogical form
4 0
3 years ago
A piece of wire of length 6363 is​ cut, and the resulting two pieces are formed to make a circle and a square. Where should the
Lerok [7]

Answer:

a.

35.2792 cm from one end (The square)

And 27.7208 cm from the other end (The circle)

b. See (b) explanation below

Step-by-step explanation:

Given

Length of Wire ,= 63cm

Let L be the length of one side of the square

Circumference of a circle = 2πr

Perimeter of a square = 4L

a. To minimise

4L + 2πr = 63 ----- make r the subject of formula

2πr = 63 - 4L

r = (63 - 4L)/2π

r = (31.5 - 2L)/π

Let X = Area of the Square. + Area of the circle

X = L² + πr²

Substitute (31.5 - 2L)/π for r

So,

X² = L² + π((31.5 - 2L)/π)²

X² = L² + π(31.5 - 2L)²/π²

X² = L² + (31.5 - 2L)²/π

X² = L² + (992.25 - 126L + 4L²)/π

X² = L² + 992.25/π - 126L/π +4L²/π ------ Collect Like Terms

X² = 992.25/π - 126L/π + 4L²/π + L²

X² = 992.25/π - 126L/π (4/π + 1)L² ---- Arrange in descending order of power

X² = (4/π + 1)L² - 126L/π + 992.25/π

The coefficient of L² is positive so this represents a parabola that opens upward, so its vertex will be at a minimum

To find the x-cordinate of the vertex, we use the vertex formula

i.e

L = -b/2a

L = - (-126/π) / (2 * (4/π + 1)

L = (126/π) / ( 2 * (4 + π)/π)

L = (126/π) /( (8 + 2π)/π)

L = 126/π * π/(8 + 2π)

L = (126)/(8 + 2π)

L = 63/(4 + π)

So, for the minimum area, the side of a square will be 63/(4 + π)

= 8.8198 cm ---- Approximated

We will need to cut the wire at 4 times the side of the square. (i.e. the four sides of the square)

I.e.

4 * (63/(4 + π)) cm

Or

35.2792 cm from one end.

Subtract this result from 63, we'll get the other end.

i.e. 63 - 35.2792

= 27.7208 cm from the other end

b. To maximize

Now for the maximum area.

The problem is only defined for 0 ≤ L ≤ 63/4 which gives

0 ≤ L ≤ 15.75

When L=0, the square shrinks to 0 and the whole 63 cm wire is made into a circle.

Similarly, when L =15.75 cm, the whole 63 cm wire is made into a square, the circle shrinks to 0.

Since the parabola opens upward, the maximum value is at one endpoint of the interval, either when

L=0 or when L = 15.75.

It is well known that if a piece of wire is bent into a circle or a square, the circle will have more area, so we will assume that the maximum area would be when we "cut" the wire 0, or no, centimeters from the

end, and bend the whole wire into a circle. That is we don't cut the wire at

all.

7 0
2 years ago
One side of a triangle measures 10 inches. Which could be the measures of the other 2 sides of the triangle?
stellarik [79]

Answer:

B. 4 and 6 in

Step-by-step explanation:

The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in

6 0
3 years ago
Custumers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee a
saul85 [17]
The answer is 350.
<em>
m= minutes</em>

Plan 1:  9+0.13<em>m</em>
Plan 2:  23+0.09<em>m</em>

9+0.13<em>m</em> = 23+0.09<em>m</em>
-9               -9
0.13<em>m</em> = 14+0.09<em>m</em>
-0.09<em>m</em>        -0.09<em>m</em>
0.04<em>m</em>= 14
14÷0.04= 350
<em>m</em>= 350
3 0
3 years ago
Read 2 more answers
Suppose the function f(t) = 95 cosine (StartFraction pi Over 10 EndFraction t) + 120 models the height of a seat on a Ferris whe
drek231 [11]

Answer:

im not 100% bit i think its 95ft

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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