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3 years ago

Find the area of the circle. Round your answer to the nearest hundredth with 3in i really need help

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

The area of the circle with a 3-inch diameter is 7.07 square inches.

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

If you are given diameter, take half of that to get the radius: 3 ÷ 2 = 1.5

Then take the radius, 1.5 and square it (multiply by itself) 1.5 × 1.5 = 2.25

Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)

2.25 × 3.14 = 7.065

Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."

You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.

Then you put in the units measure. Inches are given, so the Area will be square inches

7.07 in²

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Graph the function. For the function whose graph is shown below, which is the correct formula for the function? y = –x – 1 y = x

rusak2 [61]

You forgot to mention the graph.
So, I make the graph of both given functions and you will compare your graph with them.

First, y= -x-1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,-1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

Second, y= x+1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

4 0

3 years ago

For an equation to have infinitely many solutions, the solution will appear as a ______ statement.

DENIUS [597]

Answer:

true

Step-by-step explanation:

for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement

3 0

3 years ago

Which expression is equivalent to 6(4(6x-4y)-5) ?

iren2701 [21]

Answer:

$144x - 96y - 30$

Step-by-step explanation:

Step 1: Distribute

$6(4(6x - 4y) - 5)$

$6((4 * 6x) + (4 * -4y) - 5)$

$6(24x - 16y - 5)$

Step 2: Distribute again

$(6 * 24x) + (6 * -16y) + (6 * -5)$

$144x - 96y - 30$

Answer: $144x - 96y - 30$

8 0

3 years ago

Five whole numbers are written in order

jeka57 [31]

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

$median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x$

Hence:

$b=median=mean\\\\b=x\\\\\therefore mean=median=x$

-Applying the mean formula:

$\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y$

#Since the number are in order:

$6$

Hence, x=7 and y=8

8 0

3 years ago

Video Example EXAMPLE 1 Find the linearization of the function f(x) = x + 1 at a = 3 and use it to approximate the numbers 3.98

Blizzard [7]

Answer:

the linearization is y = 1/4x +5/4

the linearization will produce overestimates

the values computed from this linearization are ...

f(3.98) ≈ 2.245

f(4.05) ≈ 2.2625

Step-by-step explanation:

Apparently, you have ...

$f(x)=\sqrt{x+1}$

from which you have correctly determined that ...

$f'(x)=\dfrac{1}{2\sqrt{x+1}}$

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...

g(x) = (1/4)(x -3) +2

g(x) = (1/4)x +5/4

The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.

At the given values, we find ...

g(3.98) = 2.245

g(4.05) = 2.2625

4 0

4 years ago