Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=> 
x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000
= $2000
The youngest child will receive $2000.
The missing figure is attached
The value of a is 
⇒ 2nd answer
Step-by-step explanation:
Let as revise the Pythagoras Theorem
In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)
- (AC)² = (AB)² + (BC)²
- (AB)² = (AC)² - (BC)²
- (BC)² = (AC)² - (AB)²
If BD is drawn perpendicular to AC, we can use these rules
- (AB)² = AD × AC
- (BC)² = CD × AC
- (BD)² = AD × CD
- AB × BC = BD × AC
In Δ WYZ
∵ m∠WYZ = 90°
- By using Pythagoras Theorem
∴ (WZ)² = (WY)² + (YZ)²
∵ WY = 4 units
∵ YZ = 3 units
∵ WZ = c units
∴ c² = (4)² + (3)²
∴ c² = 16 + 9 = 25
- Take √ for both sides
∴ c = 5
In Δ XWZ
∵ m∠XWZ = 90°
∵ WY ⊥ XZ
- We can use the rule (WZ)² = ZY × ZX
∵ (WZ)² = ZY × ZX
∵ WZ = 5 units
∵ ZY = 3 units
∵ ZX = (3 + a) units
∴ (5)² = 3(3 + a)
∴ 25 = 9 + 3a
- Subtract 9 from both sides
∴ 16 = 3a
- Divide both sides by 3
∴ a =
The value of a is
Learn more:
You can learn more about the rules of the right triangle in brainly.com/question/14390928
#LearnwithBrainly
Answer:
21
Step-by-step explanation:
when p is 4
p² + 5 = 4² + 5
16 + 5 = 21
Answer:
B. Add 115+500 then subtract 3
C. Add 112+500
Step-by-step explanation:
Any strategy that gives a sum of 612 will work. Strategy A gives a sum of 602, so is not useful.
The appropriate choices are B and C.
B: 115 +497 = 115 +(500 -3) = (115 +500) -3
C: 115 +497 = 115 +497 -3 +3 = (115 -3) +(497 +3) = 112 +500
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
