Answer:
9
Step-by-step explanation:
we know by definition that
so now we evaluate
and if we want to do an extra step
which works.
A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
Answer:
The unit rate in miles per hour = <em>1.4 miles/hr</em>
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile =
Time taken by Boardman family = Two over seven of an hour =
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
Putting the values:
So, the unit rate in miles per hour = <em>1.4 miles/hr</em>
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = × 2 π r, where
- α is the angle of the sector
- r is the radius of the circle
∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π =
→ Substitute them in the rule above
∵ 22 = × 2 × × r
∴ 22 = r
→ Divide both sides by
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
Answer:240 square feet
Step-by-step explanation: