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dangina [55]
3 years ago
13

Find the surface area of a hemisphere with a diameter of 26 cm. Round your answer to the nearest tenth.

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
The surface area of a sphere is 4 \pi  r^{2}.

Hence, the surface area of a hemisphere is half that, 2 \pi  r^{2}.

If the base is also included then the surface area will be 3 \pi  r^{2}.

Given,

Diameter = 26 cm

Therefore, Radius = \frac{26}{2} = 13 cm

Thus, 

Area = 3 *  \pi *  13^{2} = 3 * \pi * 169 = 507 \pi = = 1592.8 cm^{2} [approx.]
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Write a division expression with quotient that is greater than 8 divided 0.001
Jet001 [13]

Answer:

Expression is '98 divided by 0.005' i.e. \frac{98}{0.005}.

Step-by-step explanation:

We have that,

The quotient of 8 divided by 0.001 is given by,

\frac{8}{0.001} = \frac{8\times 1000}{1} = 8000.

It is required to find a division expression having quotient greater than 8000.

Let us consider,

'98 divided by 0.005'

i.e. \frac{98}{0.005}

i.e. \frac{98\times 1000}{5}

i.e. 98 × 200

i.e. 19,600

Thus, the get the quotient of the new expression 19,600 > 8000.

Hence, the required expression is '98 divided by 0.005' i.e. \frac{98}{0.005}.

5 0
3 years ago
A student wanted to find the sum of all the even numbers from 1 to 100. He said:
murzikaleks [220]

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

.

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

3 0
3 years ago
When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
Stels [109]

Answer:

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5(x-25) = 7

Multiply each side by -5/1 to clear the fraction

-5/1* -1/5(x-25) = 7*-5/1

x-25 = -35

Then add 25 to each side

x-25+25 = -35+25

x = -10

3 0
3 years ago
Explain how you would simplify the expression 3x + 7y - 2x + 3y + 7?
kipiarov [429]

Answer:

Step-by-step explanation:

3x+7y-2x+3y+7

group like terms

3x-2x   +7y+3y   +7

x+10y+7

8 0
3 years ago
Read 2 more answers
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60
Umnica [9.8K]

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

4 0
2 years ago
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