1. Answer (D). By the law of sines, we have 
in any 
2. Answer (C). The law of cosines, 
accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of 
and 
are reversed.
5. Answer (B). By the law of sines, we have 
Solving gives 
Note that this is the <em>ambiguous (SSA) case</em> of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.
Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
Let the number be x. Then 1.25x = 325, or x = 260.
20% less than 260 is 0.80(260) = 208
Answer:
The square would be 25p^2 - 90p + 81
Step-by-step explanation:
To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.
First - Multiply the first number in each parenthesis.
5p * 5p = 25p^2
Outer - Multiply the outside numbers in each parenthesis.
5p * -9 = -45p
Inner - Multiply the inner numbers in each parenthesis.
-9 * 5p = -45p
Last = Multiply the last numbers in each parenthesis
-9 * -9 = 81
Now take all of those numbers and add together. Then simplify.
25p^2 - 45p - 45p + 81
25p^2 - 90p + 81
Answer:
9 ways
Step-by-step explanation:
Here are the combinations:
Start with dimes (10), change with dimes (10) would be (10, 10, 1), (10, 5,5,1), (10, 5, 6), (10, 11)
With nickels (5), change would be (5,5,5,5,1), (5,5,5,6), (5,5,11), (5,16)
With pennies (1) it would be (21)
