Answer:
7.07 in²
Step-by-step explanation:
pi x radius²
pi × 1.5²
Answer-
The rider’s displacement during this time is 17.01 m
Solution-
As we know,

Where s = displacement,
u= initial velocity = 0, as the rider starts from rest
a= acceleration = 0.5 m/s²
t= time taken = 8.4 s
Putting the values,

cos a = 3/4
Step-by-step explanation:
Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8
Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²
⇒ (cos²a)² - (sin²a)² = 1/8
Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a
⇒ (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8
⇒ (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1
⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a
⇒ 2 cos²a - 1 = 1/8
⇒ 2 cos²a = 1 + 1/8 = 9/8
⇒ cos²a = 9/16
⇒ cos a = 3/4
Answer:
The range is the same for both sets of data
Step-by-step explanation:
The two box and whisker plots share neither a median, upper quartile, or a lower quartile, but they do both have a range of 40-55.
Answer:
Combination
Step-by-step explanation:
Here by 10C7 we actually mean, 
And the formula for evaluating mCn is

Therefore
10C7 =

Where m! is called m factorial and can be evaluated as
m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1
Hence
10!= 10*9*8......*3*2*1
7!= 7*8*6.....3*2*1
3!=3*2*1
With these we can evaluate
10C7

Hence the answer is D