Let's just say that "d" represents the variable for dogs. 3+5d
Answer:
12 years
Step-by-step explanation:
Represent the mother's age by m and the son's by 4. Currently m = 36 years old.
In x years the mother will be three times as old as her son:
mother: 36 + x years old
son: 4 + x years old
The pertinent equation to solve is:
36 + x = 3(4 + x)
Performing the multiplication, we get:
36 + x = 12 + 3x, or
24 = 2x. Then x = 12.
Check: In 12 years, will the mother's age be 3 times the son's age?
Does 36 + 12 = 3(4 + 12)?
Does 48 = 48? YES
The mother will be 3 times as old as her son in 12 years from now.
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is

; So the area for one of these 10 in. pizzas would be

or 25

.
We have two of these pizzas, so the total area that we would get with $14 would be 25

*2 or 50

.
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be

or 49

.
So for $15 we can buy 49

worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50

.
Answer:
53 cm.
Step-by-step explanation:
Circumference = pi times diameter
We are trying to find diameter so rearrange
Circumference/pi = diameter
166.5/pi = 52.998596
Approximately 53 centimeters of lace
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
The diagram has been attached
The total angle in a triangle is 180°
<CAD=45°
<ACD=90°
Therefore <ADB=45°
1. ∠ADB = 30° no
ADC = 90 - 45 = 45
∠BDC = 90 - 65 = 25
∠ADB = 45 - 25 = 20
2.△ABD ∼ △ACD no going
by law of sines
3.CD = 33.7 centimeters => yes
4.BD = 37.2 centimeters => yes