Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
We know that
if ∠WCR=49°
then
measure arc WR=49°-------> by central angle
circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in
if 360°(full circle) has a length of----------> 43.96 in
49°---------------> x
x=49*43.96/360-----> x=5.98 in
alternative method
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in
the answer is
5.98 in
eleven wins to one lose 11 to 1
Answer:
40
Step-by-step explanation:
Answer:
If you expand that, it comes out to 200000000, or in scientific notation, 2.0 × 10⁸.
Step-by-step explanation:
Starting with:
(7 × 10⁵) × (3 × 10²)
Since everything is multiplied, we can drop the brackets:
= 7 × 10⁵ × 3 × 10²
Now we can multiply seven by three, and both powers of ten:
= 20 × 10⁷
We can expand this now as
200000000
or in proper scientific notation:
2.0 × 10⁸
