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kupik [55]
3 years ago
14

What is the smallest number with exactly 7 factors?​

Mathematics
2 answers:
Tanya [424]3 years ago
5 0

Answer:

64

Step-by-step explanation:

Harman [31]3 years ago
4 0
64 as I googled it and yeh
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Pls answer this question with steps (proof).
Tems11 [23]

Answer:

Step-by-step explanation:

Since triangle BCE is a right angle triangle, we would determine angle BEC by applying the tangent trigonometric ratio. Therefore,

Tan BEC = 6/3 = 2

Angle BEC = Tan^-1(2)

Angle BEC = 63.4°

The sum of the angles on a straight line is 180°. This means that

Angle AED + angle DEC + angle BEC = 180

Angle AED = 180 - (45 + 63.4) = 71.6°

Angle ADE = angle AED = 71.6°

Angle CDE + angle ADE = 180(sum of angles on a straight line)

Angle CDE = 180 - 71.6 = 108.4°

To get line EC, we would apply Pythagoras theorem. Therefore

EC² = 3² + 6² = 45

EC = √45 = 6.71 cm

The sum of the angles in a triangle is 180°

Therefore,

Angle ECD = 180 - (45 + 108.4) = 26.6°

By applying sine rule,

6.71/sin108.4 = ED/sin26.6 = DC/Sin45

6.71/sin108.4 = ED/sin26.6

Cross multiplying, it becomes

6.71sin26.6 = EDsin108.4

ED = 6.71sin26.6/sin108.4

ED = 3.00608/0.949 = 3.18cm

The area of a triangle is

Area = 1/2abSinC

Therefore, area of triangle EDC = 1/2 ×

ED × EC × SinDEC

Area = 1/2 × 6.71 × 3.18 × sin45

Area = 1/2 × 6.71 × 3.18 × 0.707

Area = 7.54 cm²

6 0
3 years ago
The value of a machine, V, at the end of t years is given by V = C(1 - 1)', where is the original cost and r is the rate of depr
NNADVOKAT [17]

Answer:

The value of the machine after two years is approximately $466.6

Step-by-step explanation:

The details of the valuation of the machine are;

The function giving the machine value, 'V', is V = C \cdot (1 - r)^t

Where;

C = The original cost of the machine

r = The depreciation rate

t = The time the machine has been in service

When C = $576, r = 0.1, t = 2 years, we have;

V = 576 \times (1 - 0.1)^2 = 466.56

Therefore, the value of the machine that costs $576 having a depreciation of 0.1 after 2 years is, V = $466.58

By rounding to the nearest cent, we have, V = $466.6.

8 0
3 years ago
Derivative this by easiest and shortest way.
Assoli18 [71]

Answer:

Check the attachment..

8 0
3 years ago
What is the mean of the set of data?<br> 25.2, 26.4, 28.7, 25.5
diamong [38]

Check the picture below.

4 0
3 years ago
There is an infinite number of ways to represent 1 on the number line. In the space below, write at least four expressions multi
tatuchka [14]

Answer:

1) ok, we know that if we divide one number by the same number, the solution is 1 ; this is: a/a = 1

so we could write something as:

3 = 3*1 = 3*(5/5) = (3*5)/5 = 15/5

so 3 = 15/5

this is especially useful when working with addition of fractions.

2) this is really useful if you have a square root in the denominator.

for example : \frac{1}{\sqrt{2} }  = \frac{1}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }  = \frac{\sqrt{2} }{2}

3) you also could do this in the next way:

3 = 3*1 = 3*(7/7) = 3*(3+4)/7= 9/7 + 12/7

where i splitted the 7 into 3 +4, this relation could be useful sometime.

4) if you do the difference between some number and the prior number; you get one; this is : (5 -4) =1

then: 3= 3*1 = 3*(5 - 4) = 15 - 12

4 0
4 years ago
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