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Tems11 [23]
3 years ago
12

How many elements are in the set {A,B,C}?

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0
3. It's simply just counting the members in the set.
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statuscvo [17]

Answer:

1) log7 (5*8)= log7(40)

2) log2(11) -log2(9)=log2(11/9)

3)2log9 2=log9(2^2)

7 0
2 years ago
ANSWER FAST!!!!!!!
Lemur [1.5K]

Answer:

The angle between the 190 ft. side and the 330 ft. side is 57.9^o

Step-by-step explanation:

<u>The Law of Cosines</u>

When we know the value of all sides of a triangle, we can compute all of its interior angles by using the Law of Cosines, which is a generalization of the Pythagoras's theorem. If a,b, and c are the known sides of a triangle and \alpha is the angle formed by sides a and b (opposite to c), then

\displaystyle c^2=a^2+b^2-2ab\ cos\alpha

We'll use the values a=190, b=330, c=280 because we want to compute the angle opposite to c

\displaystyle cos\alpha =\frac{a^2+b^2-c^2}{2ab}

\displaystyle cos\alpha =\frac{190^2+330^2-280^2}{2(190)(330)}

\displaystyle cos\alpha =\frac{36100+108900-78400}{125400}

\displaystyle cos\alpha =\frac{66600}{125400}=0,5311

\displaystyle \alpha= arccos\ 0.5311

\boxed{\displaystyle \alpha= 57.9^o}

5 0
4 years ago
On February 1, 1977, John deposited $2250 into a savings account paying 5.76% interest, compounded quarterly. If he hasn't made
Travka [436]
John's effective annual rate is about
  (1 +.0576/4)^4 -1 ≈ 5.8856%
According to the "rule of 72", John's money will have doubled in
  72/5.8856 = 12.23 years

John's balance will be $4500 in 1989.

_____
Since you're only concerned with the year (not the month), you don't actually need to determine the effective annual rate. The given rate of 5.76% will tell you 72/5.76 = 12.5 years. The actual doubling time is closer to 12.12 years, so using the effective rate gives results that are closer, but "good enough" is good enough in this case.
5 0
3 years ago
If the radius of a cylinder is doubled and the height is tripled, what happens to the volume? A) It is multiplied by 6. Eliminat
lana66690 [7]
A. Imagine the circle has a radius of 3 and height of 9. 3 x 9 = 27/3 is 9. If radius is doubled that’s 6 and height is tripled would make it 27. So 6 x 27 is 162 divided by 3 is 54 and 9 x 6 is 54
4 0
3 years ago
28 members; 50% increase
Elenna [48]

Answer:

42

Step-by-step explanation:

28 + 14

yeah-ya...... right?

5 0
3 years ago
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