Answer:
16 years, 13 years
Step-by-step explanation:
Let their ages be x, 29-x
Equation formed:-
(x - 7) + 4 = 29 - x
→ 2x = 29 + 3
→ x = 16 years
Answer: 16 years, 13 years
Answer:
A) $525,000
B) $975,000
C) 35%
Step-by-step explanation:
To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.
To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.
Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
The volume of the cylinder is 4710 cubic inches
Step-by-step explanation:
Volume of the cone = 1570 cubic inches
Volume of cone = 1/3(volume of the cylinder)
So,
Volume of the cylinder = 3(volume of the cone)
Volume of the cylinder = 3(1570)
= 4710 cubic inches
The volume of the cylinder is 4710 cubic inches
Answer: x=15
Step-by-step explanation:
Equation: 107=(9x-115)+(4x+27)
Step 1: 9x+4x-115+27=107
Step 2: 13x-115+27=107
Step 3: 13x-88=107
Step 4: 13x-88+88=107+88
Step 5: 13x=195
Step 6: 13x/13=195/13
x=15