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agasfer [191]
2 years ago
12

What is the area of a circle with the diameter of 10

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0
The area of a circle with a Diameter of 10 is 78.54
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You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of
mr Goodwill [35]

Step 1: Assign variable for the unknown that  you need to find.

d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles  \\ t \; \rightarrow \; Time \; Taken \; in \; hours

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

d_w+d_c=12

Your Walking rate and your friends Cycling rate is given below:

r_w=4mph\\r_c=11mph

Step 3: Set up an equation using the relationship between distance, time and rate.

Distance=Rate \times Time

d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t

Substituting the above in equation 1

4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles

8 0
3 years ago
There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can t
Sunny_sXe [5.5K]

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Answers:

4,280,561,376 ways

4 0
3 years ago
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Solve for c.<br> a(b-c)=d
Lisa [10]

Answer:

D: c=(ab-d)/a

Step-by-step explanation:

a(b-c)=d

ab-ac=d

ab=ac+d

ab-d=ac

(ab-d)/a=c

5 0
3 years ago
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Tlachihualtepeti is a pyramid in mexico. each side of the base measures 450 meters and had an original height of 66 meters. How
storchak [24]

Answer:

Basically, we are to determine the volume of that pyramid.

Right Regular Pyramid Volume = (Area of the Base * Height) ÷ 3

Volume = (202,500  * 66) ÷ 3

Volume = 4,455,000 cubic meters

By the way Wikipedia says that is the largest pyramid in the world.

Step-by-step explanation:

3 0
3 years ago
What is the following product? Assume y &gt;/= 0
spin [16.1K]
\sqrt{y^3} * \sqrt{y^3}= \sqrt{y^3*y^3}= \sqrt{y^6}=y^{ \frac{6}{2} } =y^3
7 0
3 years ago
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