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deff fn [24]
3 years ago
10

Which graph represents the solution set of the system of inequalities? {y≥13x−3y<−3x−3

Mathematics
1 answer:
svetlana [45]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

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A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie
bija089 [108]

Answer:

r = 51.96 inches

Step-by-step explanation:

V_{cone} = \pi {r}^{2} h  \\  \\  \implies \: r^{2}  =  \frac{V_{cone}}{\pi h } \\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } }\\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } } \\  \\  \implies \:  r^{2} =2700 \\  \\  \implies \:  r= \sqrt{2700}  \\  \\  \implies \:  r=51.96 \: inches

8 0
2 years ago
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )
sweet-ann [11.9K]

Answer:

19.625

Step-by-step explanation:

If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5

2.5^2*3.14

=19.625

6 0
3 years ago
A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rect
dybincka [34]
5inches 5inches 5inches 5inches
7 0
3 years ago
Find AM in the Parallelogram
oee [108]

Answer:

AM=6

Step-by-step explanation:

Parallelogram has two equal parallel sides

This implies that PM parallel and equal to ON

Also, MN is parallel and equal to OP

Since the diagonals bisect each other it implies that AM=AO and NP=AP

From the question, AO=6

Therefore,AM=6

3 0
3 years ago
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