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3 years ago

Which figure is described below? The point in space 4 units from point p

Mathematics

1 answer:

valina [46]3 years ago

4 0

I think it might be a sphere sorry if I got it wrong

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Six billion, three million, forty- one thousand sixteen in standard form

antiseptic1488 [7]

6,003,041,016 = 6.003041016 x 10^9

5 0

3 years ago

which of the three sets could not be the lengths of the sides of a triangle {6,10,12} {5,7,10} {4,4,9} {2,3,3}

Phoenix [80]

So for this, we will be applying the Triangle Inequality Theorem, which states that the sum of 2 sides must be greater than the third side for it to be a triangle. If any inequality turns out to be false, then the set cannot be a triangle.

$A+B>C\\A+C>B\\B+C>A$

<h2>First Option: {6, 10, 12}</h2>

Let A = 6, B = 10, and C = 12:

$6+10>12\\16>12\ \textsf{true}\\\\6+12>10\\18>10\ \textsf{true}\\\\12+10>6\\22>6\ \textsf{true}$

<h2>Second Option: {5, 7, 10}</h2>

Let A = 5, B = 7, and C = 10

$5+7>10\\12>10\ \textsf{true}\\\\5+10>7\\15>7\ \textsf{true}\\\\10+7>5\\17>5\ \textsf{true}$

<h2>Third Option: {4, 4, 9}</h2>

Let A = 4, B = 4, and C = 9

$4+4>9\\8>9\ \textsf{false}\\\\4+9>4\\13>4\ \textsf{true}\\\\4+9>4\\13>4\ \textsf{true}$

<h2>Fourth Option: {2, 3, 3}</h2>

Let A = 2, B = 3, and C = 3

$2+3>3\\5>3\ \textsf{true}\\\\2+3>3\\5>3\ \textsf{true}\\\\3+3>2\\6>2\ \textsf{true}$

<h2>Conclusion:</h2>

Since the third option had an inequality that was false, <u>the third option cannot be a triangle.</u>

5 0

2 years ago

Read 2 more answers

What is the value of x in the figure?<br> A 42<br> B 48<br> C 132<br> D 138

rosijanka [135]

Answer:

D 138

Step-by-step explanation:

the outside angle(x) of a triangle whose base is extended is always equivalent to the farthest 2 inside angles of the triangle.

x = 48 + 90 = 138

4 0

3 years ago

A mile is 5280 feet.

alekssr [168]

Answer:

10408 ft

Step-by-step explanation:

convert miles to ft

4 miles/hr * 5280 ft/ mile = 21120 ft/hr

convert hr to min

21120 ft/hr * 1hr/60 min = 352 ft/ min

multiply by 40 minutes

352 ft/min * 40 min =14080 ft

7 0

3 years ago

A solid shape is made by joining two cones.

dlinn [17]

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

<h3>How to determine the radius?</h3>

The given parameters are:

Cone 1: slant height, l = 2r
Cone 2: slant height, L = 3r
Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm