Answer:
AY = 16
IY = 9
FG = 30
PA = 24
Step-by-step explanation:
<em>The </em><em>centroid </em><em>of the triangle </em><em>divides each median</em><em> at the ratio </em><em>1: 2</em><em> from </em><em>the base</em>
Let us solve the problem
In Δ AFT
∵ Y is the centroid
∵ AP, TI, and FG are medians
→ By using the rule above
∴ Y divides AP at ratio 1: 2 from the base FT
∴ AY = 2 YP
∵ YP = 8
∴ AY = 2(8)
∴ AY = 16
∵ PA = AY + YP
∴ AP = 16 + 8
∴ AP = 24
∵ Y divides TI at ratio 1: 2 from the base FA
∴ TY = 2 IY
∵ TY = 18
∴ 18 = 2
→ Divide both sides by 2
∴ 9 = IY
∴ IY = 9
∵ Y divides FG at ratio 1:2 from the base AT
∴ FY = 2 YG
∵ FY = 20
∴ 20 = 2 YG
→ Divide both sides by 2
∴ 10 = YG
∴ YG = 10
∵ FG = YG + FY
∴ FG = 10 + 20
∴ FG = 30
Answer:
The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.
Step-by-step explanation:
Equation
y = 1.55x + 110,419
Annual income = $54,000
To solve this problem just substitute the annual income and simplify to find the cost.
y = 1.55(54,000) + 110419
Simplify
y = 83700 + 110419
Result
y = $194119
Loga x=n ⇔ a^n=x
log₇ 21=x
x=log ₇ 21
x=ln 21 / ln7=1.564575034...
Answer: x=log₇ 21
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the sine rule in the triangle, then
= 
( cross- multiply )
x × sin27° = 11 × sin34° ( divide both sides by sin27° )
x = 
≈ 13.5 ( to the nearest tenth )
Answer:
Select the one which meets the following characteristics.
Step-by-step explanation:
y = cos(2x)
Characteristics:
Mean line at y = 0
Amplitude = 1
Period = 360/2 = 180° or pi radians
i.e one complete cos cycle is 0 to 180, next is 180 to 360 and so on
Range : from -1 to 1
