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3 years ago

12

Please help me , at least do one and explain it please .

1 answer:

Len [333]3 years ago

7 0

9514 1404 393

Answer:

113.0 cm²
2464.0 in²
95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

A = (3.14)(5.5 ft)² = 95.0 ft²

_____

<em>Additional comment</em>

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

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Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17

diamong [38]

Given:

The table of values is:

x : -7 -5 -3 -1

y : 5 9 13 17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Using the slope formula. we get

$\dfrac{9-5}{-5-(-7)}=2$

$\dfrac{13-9}{-3-(-5)}=2$

$\dfrac{17-13}{-1-(-3)}=2$

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-5=2(x-(-7))$

$y-5=2(x+7)$

$y-5=2x+14$

Adding 5 on both sides, we get

$y-5+5=2x+14+5$

$y=2x+19$

Therefore, the equation for the given data is $y=2x+19$ .

8 0

3 years ago

suzette went to the store and bought some eye liner for $2.50. two weeks later, the price of the eyeliner was increased by 50%.

Dmitrij [34]

Answer:

$5.00

Step-by-step explanation:

Since the eyeliner went up and doubled in price, you simply multiply 2.50 by 2, and you get $5.00

4 0

3 years ago

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

lord [1]

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

<u>The nth term is:</u>

aₙ = a + (n - 1)d

<u>We have:</u>

a₆ = 15
a₉ = 16

<u>The difference of these terms is:</u>

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

<u>Then the first term is:</u>

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

<u>The nth term equation is:</u>

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

<u>If the nth term is 22, find n:</u>

1/3n + 13 = 22
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3 years ago

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Eduardwww [97]

Answer:

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where

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A suitable calculator can row-reduce the augmented matrix.

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