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almond37 [142]
3 years ago
5

Find the surface area of a sphere with a diameter of 32 mm. Express your answer in terms of pie

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

A = 1024π

Step-by-step explanation:

A=4\pi r^{2}       Use this equation to find the surface area of the sphere

A=4\pi(16)^{2}       Simplify the exponent

A = 4π(256)      Multiply

A = 1024π

If this answer is correct, please make me Brainliest!

You might be interested in
Edgar purchased a home for $182,100 to home appreciates about 3.5% each year what is the value of the home after 12 years
olasank [31]

Answer:

the value of the home after 12 years =$275,165.60

Step-by-step explanation:

To find value of appreciation after 12 years

We apply exponential growth formula

y=a(1+r)^x

Where a represents the initial amount (purchased amount)

a= 182,100

r = rate of interest ( appreciation percentage) = 3.5% = 0.035

x  represents the time period= 12 years

Plug in all the values

y=a(1+r)^x

y=182100(1+0.035)^12

y= 275165.6025027724  

y=$275165.60


5 0
3 years ago
I really need someone to answer this, QUICK!
Elodia [21]

Answer:

A. LCM=72   B. GCF=7    C. 7(5+9)

Step-by-step explanation:

A. 8/2=4/2=2  9/3=3   Use the denominators to find the LCM. In this case, the LCM is 72.

B.  35/5=7   63/3=21/3=7    The GCF for these numbers is 7 because it is the only factor that they have in common.

C.   7 x 14=88     Since 5 and 9 don't have common factors, they work perfectly for this problem.

6 0
3 years ago
To get from one town to another, Jack must travel 7 miles east and 24 miles south. What is the direct distance between the two t
Step2247 [10]
The 7 miles and 24 miles make up two "legs" of a right triangle.
The third side (or hypotenuse) is the distance between the towns.
distance^2 = 7^2 + 24^2
distance^2 = 49 + 576
distance^2 = 625
distance = square root of 625 or 25
3 0
3 years ago
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
Winston earns $140.00 by selling 56 hot dogs at the concession stand at school. Using the same rate for
Free_Kalibri [48]

Answer:

140/56= 2,5$ every hot dog

175/2,5=70 hot dogs

70-56=14 more hot dogs to earn 175$

Step-by-step explanation:

7 0
3 years ago
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