Answer:135%
Step-by-step explanation:
Answer:
$8.60
Step-by-step explanation:
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Answer:
11/1024.
Step-by-step explanation:
Binomial Probability distribution.
This is the probability of 9 tails or 10 tails being flipped.
Prob ( 10 tails) = (1/2)^10 = 1/1024
Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512
Required probability = 1/1024 + 5/512
= 11/1024.
<h3>Required Answer:</h3>
Shorter side = 9 cm
<h3>Question:</h3>
The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
<h3>Let:</h3>
- Length rectangle be a.
- Width of rectangle be b.
<h3>To find?</h3>
- Length of the shorter side of the rectangle.
<h3>Given:</h3>
- Perimeter of rectangle = 44cm
- Area of rectangle = 117cm²
<h3>Answer :</h3>
A/Q
Perimeter of rectangle = 44cm
We know:
p=2(L+B)
.°. ⇒44 =2(a+b)
⇒44 /2 =a+b
⇒22=a+b
So:
a=22-b
b=22-a
Now Let's put values in formula of Area
A/Q
Area of rectangle = 117cm²
We know:
Area =L×B
.°.117=ab
<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u>
⇒117=a(22-a)
⇒117=22a-a²=0
⇒a-22a²+117=0
⇒(a- 9)(a- 13) = 0
.°. a=9
a=13cm
Let's put value of a as 13 to find b
⇒b=22-a
⇒b=22-13
⇒b=9cm
So the side having 9cm is shorter i.e. b