Part A
Fraction of peach 2/5
Total = 200
number of students that pick peach as their favorite fruits
Part B
number of students that pick orange as their favorite fruits
number of students that pick plum as their favorite fruits
There are 55 more students that chose orange rather than plum.
Answer:
100 times bigger
Step-by-step explanation:
They are two decimal spaces apart so that means a 1 plus two zeros which is 100
7*3=21....The first number they would both share would be 7
Answer:
The height of the cliff is 31.17 feet.
Step-by-step explanation:
For better understanding of the solution see the attached figure :
Let the height of cliff be x feet.
In ΔABC and ΔDEC,
m∠ABC = m∠DEC = 90° (Angle made between the height and the ground is right angle)
∠ACB = ∠DCE ( Angle of reflection = Angle of incidence because N is normal )
So, By AA postulate of similarity of triangles, ΔABC ~ ΔDEC
Now as triangles are similar, their sides will be proportional to each other.
Hence, The height of the cliff is 31.17 feet
Answer:
9 and 40
21 and 40
Step-by-step explanation:
Factors of 9:
1,3,9
Factors of 15:
1,3,5,15
Factors of 21:
1,3,7,21
Factors of 40:
1,2,4,5,8,10,20,40
We have to find the pairs of numbers which are relatively prime.
Relatively prime number: The numbers in which gcd 1 are called relative prime numbers.
a.9 and 15
GCD(9,15)=3
9 and 15 are not relatively prime.
b.9 and 40
GCD(9,40)=1
Hence, 9 and 40 are relatively prime.
c.9 and 21
GCD(9,21)=3
9 and 21 are not relatively prime.
d.15 and 21
GCD(15,21)=3
15 and 21 are not relatively prime.
e.21 and 40
GCD(21,40)=1
21 and 40 are relatively prime.