Answer:
27/40
Step-by-step explanation:
Probability of picking heart: 3 hearts/ 10 total
Probability of picking club: 4 clubs/ 9 left over cards
3/10 divided by 4/9= 27/40
Hope this helped
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ANSWER
The required equation is:

EXPLANATION
The given equation is

Dividing through by 225 we obtain;

This is a hyperbola that has it's centre at the origin.
If this hyperbola is translated so that its center is now at (0,5).
Then its equation becomes:

We multiply through by 225 to get;

We now expand to get;


The equation of the hyperbola in general form is

Answer:
128°
Step-by-step explanation:
the answer is 128° i explained it as i could in the diagram hope you understand
The domain is
, where n is an integer.
- This is because cot x = 1/tan(x), and if tan x = 0, then the fraction is undefined.
The range is <u>all real numbers</u>.
Answer:
3. A=B=70°; C=D=110°
4. A=90°; C=48°
Step-by-step explanation:
Same-side angles of a trapezoid add to 180°.
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3. (2x) +(x+15) = 180
3x + 15 = 180 . . . . simplify
x +5 = 60 . . . . . . . divide by 3
x = 55
A=B=(x+15)° = (55+15)° = 70°
C=D=2x° = 2·55° = 110°
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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:
A=180°-D = 90°
C = 180° -132° = 48°