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SVETLANKA909090 [29]
3 years ago
14

Work out the area of this circle.

Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

530.998cm^2

Step-by-step explanation:

General formula for the area of a circle is πr^2

And π is given to be 3.142

R is 13 cm

So let's apply the formula

Area=3.142×(13^2)

Area=3.142×169

Area=530.998cm^2

So the area of the circle is 530.998cm^2

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Lisa's weekly pay increases from $525 to $546<br> Calculate her percentage pay increase.
Lana71 [14]
546 - 525 = 21

21 is 4% of 525.


Lisa gained a 4% pay increase.
6 0
3 years ago
How does a number line represent equivalent fractions and decimals?
kogti [31]
Dododkdldlldlflffosjdididkdkdkdkd
8 0
3 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
What is the area of a section of pavement that is 20 ft wide and 70 yd long?
myrzilka [38]

Answer:

A = 4200 ft^2

Step-by-step explanation:

We know the formula for area is

A = l*w

We need to have the same units

convert yd to ft

1 yd = 3ft

Multiply each by 70

70 yds = 210 ft

A = 210 *20

A = 4200 ft^2



6 0
3 years ago
The average person blink 15 to 20 times per minute how many times does the average person blink in an hour
Lostsunrise [7]

Answer:

900-1200

Step-by-step explanation:

mutpliy by 60

5 0
3 years ago
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