Hi,
Let the
Youngest brothers age = x+2
Middle brothers age = x+4
Oldest brothers age = x+6
So,
Youngest brothers age = x+2 = 28+2 = 30 years of age
Middle brothers age = x+4 = 28+4 = 32 years of age
Oldest brothers age = x+6 = 28+6 = 34 years of age
Have a great day!
Use the Law of Sines to solve.
24/Sin 67.38 = 26/Sin X
Cross multiply
26Sin 67.38 = 24SinX
Divide both sides by 24
(26Sin67.38)/24 = Sin X
Use Sin^-1 to find the angle measure.
Sin^-1 [(26Sin67.38)/24]
x = 89.92 degrees
Answer:
3142.86 cubic cm
Step-by-step explanation:
volume of cone is given by formula
volume of cone = 1/3(area of base*height)
Given radius of base = 10cm
we know area of circle is given by 
where r is radius of circle
thus area of base of cone is calculated below
area of base of cone is 314.2857 square cm
height = 30 cm
Thus volume of cone = 1/3* (area of base*height)
= 1/3(314.2857*30)
= 1/3 *9428.571 = 3142.857.
Thus, volume of cone is 3142.857 cubic cm.
volume of cone to the nearest hundredth is 3142.86 cubic cm
Answer:
equals 56
Step-by-step explanation:
Based on the calculations, the amount of money she invested is equal to $3,520.
<h3>How to determine the amount invested?</h3>
First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:
- Let x be the amount of money she invested at 11%.
- Let y be the amount of money she invested at 14%.
Since Lydia invested the same amount of money in both stocks, we have:
x = y ....equation 1.
At the two interest rates, the total amount Lydia gets is given by:
0.11x + 0.14y = 440 ....equation 2.
Solving the equations simultaneously, we have:
0.11y + 0.14y = 440
0.25y = 440
y = 440/0.25
y = $1,760.
Thus, the total investment is given by:
Total investment = 1760 + 1760
Total investment = $3,520.
Read more on interest rates here: brainly.com/question/16793428
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