Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
This number is rational
Second:
This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
This number is rational
Fourth:
This is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
Irrational. The square root of a non-perfect square is irrational.
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-Chetan K
Step-by-step explanation:
Putting values of x and y
2 = 4 + 2
2 = 6
= 6-2
= 4
Answer:
10 nickels and 10 quarters
Step-by-step explanation:
Given
Number of coins: 20
Vaiue of coins = $3.00
Required
Number of Nickels and Quarters;
<em>Let N =Nickels and Q =Quarters</em>
The total coins is represented as:
1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So
Make N the subject of formula in the first equation
Substitute this in the second equation
Collect like terms
Multiply both sides by 5
Recall that N = 20 - Q
Step-by-step explanation:
a) $350 per week
20% commission on sales
For $925 in sales, commission is
20/100 × 925 = $185
Total earning = $350 + $185 = $535
b) For $x in sales, commission is
20/100 × x = 1/5 × x = x/5 or 0.2x
Total earnings = $350 + $ x/5 or $350 + $0.2x
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
