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slega [8]
4 years ago
5

Find the volume of the hemisphere shown. remember a hemisphere is half of a sphere. r = 5

Mathematics
1 answer:
jenyasd209 [6]4 years ago
3 0
As we know from geometry, the volume of any given sphere is

V = 4/3*πr³

Since a hemisphere is half of any given sphere, its volume should be

V = 4/3*πr³ ÷ 2
V = 2/3*πr³

This will be our working equation for finding the volume of hemisphere. Since r is already given to be 5 units, we substitute this to the working equation:

V = 2/3*π(5)³
V = 261.8 cubic units
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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
What is the area of this triangle ?
Liula [17]

Answer:

8

Step-by-step explanation:

area of a triangle= b x h x 1/2 or b x h /2

the base is 4 and the height is 4

4x4/2

=16/2

=8

5 0
3 years ago
the legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse? Select one: a. square root 33 units
Mrac [35]

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{4^2+7^2}\implies c=\sqrt{65}

4 0
3 years ago
Read 2 more answers
Literal Equations: 8c + 6j = 5p, for c
bixtya [17]
8c + 6j = 5p         Subtract 6j from both sides
       8c = 5p - 6j   Divide both sides by 8
         c = \frac{5p - 6j}{8}
3 0
3 years ago
Helppppppp pleaseeee it’s mathhhhhh
Anuta_ua [19.1K]

Answer:

73

Step-by-step explanation:

6x+25=10x-11

-4x=-36

x=8

6(8)+25

48+25=73

I am not sure on this one but hope I helped

3 0
3 years ago
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