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Jlenok [28]
4 years ago
14

Which shows the correct symbol to compare the numbers 1/3 1/2 < = >

Mathematics
1 answer:
koban [17]4 years ago
5 0

Answer:

1/3 < 1/2

Step-by-step explanation:

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A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the semin
Elena L [17]

Answer:

16 people

Step-by-step explanation:

This is a set problem

let first session be a

let second session be b

128 people attended at least one session = a∪b

a. 3/4 attended both session 1&2 = a∩b

b. 7/8 attended session 2 = p(b) i.e population b

c x attended session 1 = p(a) i.e. population a

lets get the figures.

  • For both sessions 3/4 × 128 = 96 = a∩b
  • For second session 7/8 × 128 = 112 = b
  • The formular is a∪b = p(a) + p(b) - a∩b
  • a∪b = 128 (they at least one session)

lets substitute into the equation

let p(a) be x

128 = x + 112 - 96

128 = x + 16

x = 112 - no of people that attended the morning session.

But to find those that ONLY attended morning session

x - a∩b

112 - 96 = 16

3 0
3 years ago
Read 2 more answers
NEED HELP FAST !!<br> What is the scale factor of the dilation?
emmainna [20.7K]

Answer:2

Step-by-step explanation:

Because it doubled

6 0
3 years ago
Find the volume of this (I sent wrong picture)
satela [25.4K]

Answer:

192 cm³

Step-by-step explanation:

V = w · h · l

4 · 6 · 8

192 cm³

6 0
3 years ago
Need help finding measure of angle R.
Hunter-Best [27]

Answer:

B.) 113°

Step-by-step explanation:

In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

4x+7=7x-38

Subtract 4x from both sides:

4x-4x+7=7x-38-4x\\7=3x-38

Add 38 to both sides:

7+38=3x-38+38\\45=3x

Divide both sides by 3:

\frac{45}{3}=\frac{3x}{3}\\\\  15=x\\\\x=15

x is equal to 15. Now substitute the value of x into the one of the expressions:

4(15)+7\\60+7\\67

or

7(15)-38\\105-38\\67

The angles T and S are 67°.

The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

67+67=134

Subtract their total from 360:

360-134=226

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

\frac{226}{2}= 113

Angle R is 113°.

Done.

7 0
3 years ago
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for π).
TEA [102]

Answer:

<u>The diameter of the sphere is = 36 in.</u>

<u></u>

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

<u>diameter = 36 in.</u>

<u></u>

3 0
3 years ago
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