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Neko [114]
3 years ago
13

A sold consiss of a hemisphere anda cone which share a common base.The cone has a base radius of 21cm and height of 28 cm and a

salnt height of 35cm
find
total volume and surface area
Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

Volume

12,930.795

Surface area

3,694.513

Step-by-step explanation: For more information on this question research the formulas so you can figure this out yourself.

Have a Ni(e Day (nice)

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
The city park in which Allen plays is a square and measures exactly one million square feet. Which side dimensions produce the m
valentina_108 [34]
A- 998.8×997.7=996502.76
B- 998.84×997.73=996572.6332
C- 998.843×997.731=996576.6252
D - 999×998=997002

So D is the answer
4 0
3 years ago
Margo’s Dad offers to give her 5 cents on sunday. Then for each day of the week, he offers to give her 5 times the amount from t
goblinko [34]

Answer:

Step-by-step explanation:

First you need to do 5x5=25

6 0
3 years ago
Read 2 more answers
Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. Round the common ratio and 19th term to the neares
Molodets [167]
The formula of geometric sequence is expressed in the following manner:
an = a1 * r^(n-1) where r is the ratio and n is an integer.
Substituting, to find r
358.80 = <span>14 * r^(8) 
r is equal to 1.5

hence, 
</span><span>a19 = 14* 1.5^(19-1)
</span>a19 <span> ≈ 20,690.</span>

6 0
3 years ago
Read 2 more answers
Help!!!!!!!!!!!!!!!!!
Anna [14]
Pt=6.245cm, working shown in photo

5 0
3 years ago
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