Answer:
1)
1/2 - C
1/4 - B
1/8 -D
? - A
1/2*1/4*1/8 = 1/16 of the class got an A
2) 40 lb = 840 oz
840 x* 2 1/4 = 1890 oz
Archie's dog eats 1890 oz of dog food in 2 1/4 years.
Answer:
C. Supplementary angles
Step-by-step explanation:
Given
<AFB = 72
Required
Relationship of <AFB and <AFD
<AFB and <AFD are on a straight line and angle on a straight line is 180
From the presentation of both angles,
<AFB + <AFD = 180
Substitute 72 for <AFB
72 + <AFD = 180
Make <AFB the subject of formula
<AFD = 180 - 72
<AFD = 108
Since both <AFB and <AFD sums to 180, then they are supplementary angles.
Hence, the relationship between both angles is supplementary angles
One JOB = 1 and 2 hours = 120 min
Tyler Rate per minute: 1/120 (in 1 minute he performes 1/120 of the job)
Dakota<span> Rate per minute: 1/90 (in 1 minute he performes 1/90 of the job)
Tyler's + Dakota's rate per 1 minute = 1/120 + 1/90 = 7/360 (Job/minutes)
7/360 of the job was performed in 1 minute
</span>a complete JOB =1 to be performed in x minutes (Rule of three)
x = 1x1/(7/360) that equals to 360/7 and x (time of both) = 51 min 42
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = 
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles (
miles) from where she started.
either a rectangle or circle will be made. If you cut it horizontially you will get a circle. Vertically and you will have a rectangle