The square root of Pi is approximately 1.77245.
Answer:
Carla lives 16 miles from the Library.
The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given
Step-by-step explanation:
If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c" from her house to the Library is the distance we have to figure.
c² =a² + b²
c² = 10² + 24²
c² = 100 + 576
c² = 676
√c² = √676
c = 26 Carla lives 26 miles from the Library.
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20
0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds
0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues
Answer:
m = -4
Step-by-step explanation:
- 36 - m = 8(4+2m)
- 36 - m = 32+16m (to remove m from the left side, we need to add m to both sides)
- 36 = 32+17m (subtract 32 from both sides)
- 68 = 17m (divide by 17 on both sides)
-4 = m
Answer:
16.....................................
- 6⁹*6ⁿ = 6¹²
- 6⁹⁺ⁿ = ¹²
- 9 + n = 12
- n = 3
17.....................................
- 7⁸/7ⁿ = 7³
- 7⁸⁻ⁿ = 7³
- 8 - n = 3
- n = 5
18.....................................
19.....................................
- 1/10⁵ = 10ⁿ
- 10⁻⁵ = 10ⁿ
- -5 = n
- n = -5
20.....................................
- (8²)ⁿ = 8¹²
- 8²ⁿ = 8¹²
- 2n = 12
- n = 6
