Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Hey there!
Since there are 3 friends running an equal amount of this relay race, each will run 1/3 of the relay.
This is because 3 thirds make a whole, and each third is equal to the others, so if you add each distance ran by each of the friends, or simply multiply each portion by 3, you'd get 10 miles.
If you're also looking for how long each friend runs, which I know isn't in the question but I'll add it anyways, it is 3 1/3 miles. This can be found by dividing 10 into 3 equal parts.
Hope this helps!
y=3x+6
Use
y=mx+b
to calculate the equation of the line, where
m
represents the slope and
b
represents the y-intercept.
Slope is equal to the change in
y
over the change in
x
, or rise over run.
Answer: 0.71
Step-by-step explanation:
A="The policyholder needs Orthodontics"
B="The policyholder needs filling"
C="The policyholder needs extraction"
P(A)=1/2, P(AUB)=2/3, P(AUC)=3/4, P(B∩C)=1/8
The events are independents, so:
P(A∩B)=P(A)P(B), P(A∩C)=P(A)P(C) and P(B∩C)=P(B)P(C)
P(AUB) = P(A)+P(B)-P(A∩B) = P(A)+P(B)+P(A)P(B)
2/3=1/2+P(B)-1/2*P(B), P(B)=1/3
P(AUC) = P(A)+P(C)-P(A∩C) = P(A)+P(C)+P(A)P(C)
3/4=1/2+P(C)-1/2*P(C), P(C)=1/2
P(BUC)=P(B)+P(C)-P(B∩C)=1/3+1/2-1/8=17/24
P(BUC)=0.71
