Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
9514 1404 393
Answer:
17. 5
18. 17
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
__
17. d = √((3-6)² +(1-5)²) = √((-3)² +(-4)²) = √(9+16) = √25 = 5
The distance between the points is 5 units.
__
18. d = √((-1-7)² +(12-(-3))²) = √(64 +225) = √289 = 17
The distance between the points is 17 units.
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
~
The simplified product in standard form is ..
-3y^2 + -6y + -17
Edge 2022!
