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SashulF [63]
3 years ago
10

Group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax2 about the y-a

xis. if the dish is to have a 10-ft diameter and a maximum depth of 4 ft, find the value of a and the surface area s of the dish. (round the surface area to two decimal places.)
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0
10' diameter and maximum depth of 4', it means that the point (5,4) is on the profile of the dish.

Fitting in the given formula,

y=ax^2 => 4=a(5^2) => a=4/25
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Tim wants to ride his bike for 25 miles or less on some mountains bike trails . The table shows the distance of three different
Basile [38]

yo sup??

the sum of trails taken should be less than 25 miles

Black bear=B

Eagle Ridge=E

Doe Run=D

(btw names sound cool XD)

we will now try different combinations

B+E=7 1/2 ++ 10 1/4 which is clearly less than 25

B+D=7 1/2 + 8 3/4 which also less than 25

E+D=10 1/4 + 8 3/4 which is also less than 25

B+D+E=7 1/2 + 10 1/4 + 8 3/4 which is greater than 25

Therefore only the 1st,2nd and 3rd case are possible

Hope this helps.

7 0
3 years ago
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

This means that t = 2, A(t) = 350000

Interest rate of 8.15% per annum compounded monthly:

This means that r = 0.0815, n = 12.

Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

He must invest R297 521 today.

4 0
3 years ago
Order these numbers from least to greatest <br> {13.7, 13,7/100 –13,17/100 –13.2}
Yuri [45]

Answer:

{13.7, 13,7/100 –13,17/100 –13.2}

Step-by-step explanation:

4 0
2 years ago
An average American child aged 0-2 years old has about 915 minutes of screen time in 5 days. 6 times the difference between a ch
Alborosie

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

7 0
3 years ago
A vending machine accepts​ nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person w
arlik [135]
If he uses 1 quarter, he has 40 cent left to make.He can do that in two ways, by using 2 dimes andall four nickels, or all 3 dimes snd 2 nickels.That's 2 ways.
If he uses both quarters, he has 15 cent left to make.He can do that in two ways by using 1 dime and 1 nickel,or no dimes and 3 nickels.That's 2 more ways.    So there are four ways to make 65 cents.
7 0
3 years ago
Read 2 more answers
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