Answer:
the estimated answer is 10
Step-by-step explanation:
you have to round both numbers to the nearest ten and then subtract
9514 1404 393
Answer:
421.4 miles
Step-by-step explanation:
The flight legs are orthogonal, so the distance can be found using the Pythagorean theorem:
1.2 h × 120 mph = 144 mi
3.3 h × 120 mph = 396 mi
The distance at the end of the second flight leg is ...
d = √(144² +396²) = √177552 ≈ 421.37
The plane is about 421.4 miles from its starting point.
_____
The heading to its end point is 20° +arctan(3.3/1.2) ≈ 90.02°.
Answer:
141.625
Step-by-step explanation:
Answer:
Rasheed bought 3 packages of chocolate and 5 packages of toffee.
Step-by-step explanation:
In this case we have to found the number of bars that multiplied by the fractions presented give us an integer number and meets with the fact that the bars are an odd number because the packages came in packs of two bars.
For the case of the chocolate we have to find a number that meets this characteristics, we try with the number 6:
For chocolate Rasheed bought 3 packages, we can see that 6 bars meet the asked.
For the case of toffee, we try with number 10:
For toffee Rasheed bought 5 packages, we can see that 10 bars meet the asked.
Rasheed bought 3 packages of chocolate and 5 packages of toffee.
Answer:
Step-by-step explanation:
Each triangle is a right triangle, and all are congruent. So ...
90 -m∠CAB = (1/2)m∠CDA
90 -(4x +33) = (1/2)(12x +34)
57 -4x = 6x +17 . . . . . . . eliminate parentheses
40 = 10x . . . . . . . . . . . . .add 4x-17
4 = x
We also have ...
2m∠CAD = m∠BCD
2(3z +28) = 10z +28
6z +56 = 10z +28 . . . . . eliminate parentheses
28 = 4z . . . . . . . . . . . . . .subtract 6z+28
7 = z . . . . . . . . . . . . . . . . divide by 4
Since BC = CD ...
x = y = 4
The values of the three variables are ...
x = 4, y = 4, z = 7.
