Answer:
1,051
Step-by-step explanation:
- 1350 + 100 = 1450
- 1450 - 399 = 1051
I hope this helps!
Answer:
Given
Step-by-step explanation:
Consider triangle ABD and triangle DCA,
AC=BD ( given that they are diameters)
Diameters of the same circle are equal
AD=AD (common side for both triangles)
<BAD= <CDA (angles in semicircles are 90°)
So since the right angle, hypotenuse and side are equal..
ABD is congruent to CDA
(Rhs congruence rule)
Hence proved..
Answer: 66
Step-by-step explanation:
From the question, we are informed that a player at a basketball camp set a goal to make 55% if his shots and that he has 120 attempts.
The number of shots that he would he need to make in order to reach his goal will be 55% of 120. This will be:
= 55% × 120
= 55/100 × 120
= 0.55 × 120
= 66
He would need to make 66 shots
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
