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neonofarm [45]
3 years ago
12

Can someone help me understand how to do this ?

Mathematics
1 answer:
Damm [24]3 years ago
3 0
Do you know your trig ratios?
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A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per sec
s344n2d4d5 [400]

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

v=4/3 \pi r^3

v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

4 0
2 years ago
NO ONEIS ANSWERING MY QUETION PLEASE ANSWER FOR 10 POINTS
Hatshy [7]

Answer:

24.5

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
The rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ?
Lorico [155]

Answer:

a.) 4

Step-by-step explanation:

a.)4

7 0
3 years ago
Solve equation <br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bk-4%7D%7B3%7D%20%3D%203" id="TexFormula1" title="\frac{k-4}{
3241004551 [841]

k-4/3= 3

Mutiply both sides by 3 .

(3)(k-4/3)= (3)(3)

Cross out 3 and 3 , divide by 3 and then becomes k-4= 9

Move -4 to the other side

Sign changes from -4 to +4

k-4+4= 9+4

k= 13

Answer: k= 13

6 0
3 years ago
Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi
Eva8 [605]

Answer:

See explanation

2x^2+5x+3=(x+1)(2x+3)

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

2x^2+5x+3

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

2\cdot 3=6

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

6=1\cdot 6\\ \\ \bf{6=2\cdot 3}

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

2+3=5

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

2x^2+5x+3=2x^2+2x+3x+3

7. Now that the problem is written with four terms, you can factor by grouping:

2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)

6 0
3 years ago
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