Answer:
11 quarters
Step-by-step explanation:
If Thomas ignores the extra 3 dimes, he can arrange his coins in groups of 3 dimes and 1 quarter, each group valued at 55¢. It takes
... 6.05/0.55 = 11
groups to bring the total value to the $6.05 remaining after ignoring the extra dimes.
Thomas has 11 quarters and 36 dimes.
Answer:
485
Step-by-step explanation:
Q(-9) = 6(-9)² - 1 = 6×81 - 1 = 486 - 1 = 485
Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".
Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.
Then we can use the Law of sines,
sin(70)/13=sin(20)/y
y=sin(20)*13/sin(70)
y=15.34
Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2
x = 20.1
Origin region 0,0
Definitely wrong
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
