Answer: -1
Step-by-step explanation:
10^-3 x 10 = 10^-2
But you need it to be 1/10^3
So 10^-2 x 10^-1 = -2 + -1
= 10^-3
In order to put it in simplest form, the power needs to be positive.
So = 1/10^3
Meaning the missing power is -1
Step-by-step explanation:
in this problem, we are solving for the amount of apple that Paloma eats
1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find
that remainder
2. she also ate 3/8 of the remainder for lunch
3. we then proceed to calculate all apple she ate in total
2 she ate 3/8 of the remaining 3/4 apple
3. in total she ate 1/4+ 9/32
Answer:
Step-by-step explanation:
Given that in the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.
Table is prepared as follows
Bus coll. Lib Arts coll Educ. coll Total
Observed 90 120 90 300
Expected p.c. 35 35 30 100
Expected number 105 105 90 300
Percent*300/100
Hence expected frequency for business college = 105
Answer:
Step-by-step explanation:
It's given in this question,
m∠2 = 41°, m∠5 = 94° and m∠10 = 109°
Since, ∠2 ≅ ∠9 [Alternate interior angles]
m∠2 = m∠9 = 41°
m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]
m∠8 + 41 + 109 = 180
m∠8 = 180 - 150
m∠8 = 30°
Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]
41 + m∠7 + 30 = 180
m∠7 = 180 - 71
m∠7 = 109°
m∠6 + m∠7 = 180° [linear pair of angles]
m∠6 + 109 = 180
m∠6 = 180 - 109
= 71°
Since m∠5 + m∠4 = 180° [linear pair of angles]
m∠4 + 94 = 180
m∠4 = 180 - 94
m∠4 = 86°
Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]
86 + m∠3 + 41 = 180
m∠3 = 180 - 127
m∠3 = 53°
m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]
m∠1 + 41 + 53 = 180
m∠1 = 180 - 94
m∠1 = 86°
see the attached figure to better understand the problem
we know that
The volume of the cone is equal to
in this problem
Substitute the values in the formula above
therefore
the answer is
The volume of the nose cone is 
