Answer:
a) m arc AD = 145
b) D = 10
Step-by-step explanation:
a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.
The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°
The arc length is identical to the arc angle when measured between radii.
b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.
Diameter is twice radius = 10
Answer:
The first choice
Step-by-step explanation:
Area of a triangle is 1/2x base x height
the base is 10 and height is 24
26 is the hypotenuse but it is not used in calculating the area
Hope this helps :)
Answer:
544
Step-by-step explanation:
The ratios of cartons are ...
B : P = 2 : 1
S : L = 2 : 1
L : B = 2 : 1
Combining these into a single set of ratios, we have ...
S : L : B : P = 8 : 4 : 2 : 1
Then the proportion of the order that is strawberry is ...
8/(8+4+2+1) = 8/15
and the number of strawberry cartons is ...
(8/15)·1020 = 544
The store ordered 544 cartons of strawberry yogurt.
Answer:
B
Step-by-step explanation:
80 weeks
1,200+40x=400+50x
800+40x=50x
800=10x
x=80
