What is the measure of the radius of S?

Answers

Answer 1

Answer:

A diameter is a straight line that crosses a circle and the radius equals the half of this distance. So, in our case, the diameter would be YL which equals 12.2 adn the radius would be:

12.2 / 2 = 6.1

Though you could see it this way, there is still another way of finding the radius. The radius is a straght line that goes from the centre to any point of the circle, which is the same thing as saying that it is half of a diameter:

SG is a line going from the centre (S) to G, which is also equal to 6.1

Hope it helped,

BioTeacher101

Answer 2

Answer: If the question is asking the radius of 'the circle' S, then we need to pick a point on the circle and measure its distance from the center.

In this case, we already have G picked for us and S is the center. So, GS is our radius. It is also written that GS is equal to 6.1. This means the length of the radius of the circle S is 6.1.

Another way of finding it is; as you can see from the picture, YL is a line which goes through the point S or the center. We call those lines a 'diameter'. Diameters also equal to two times of the radius.

So, we know that our diameter is 12.2, when we divide that by 2 we got: $(12.2)/(2) = 6.1$ as our radius.

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Write an expression that can be used to multiply 6x198 mentally.

Answers

assuming you meant 6x198 do a mental sum for 6x200 (1200) then subtract 6x2(12)to give you 1188

In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.

What is the square root of 65

Answers

The square root of 65 is an irrational number, so it can never be
exactly written down with digits.

As a decimal, it starts out with 8.06225... and it never ends.

Technically the square root is 8.06225775, but most people would say it doesn't have one.

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try plotting the points on a coordinate plane. For the rectangle FROG, the perimeter is . Find the area of the rectangle FROG. For the rectangle FROG, the area is

Answers

The area and the perimeter of the rectangle FROG is evaluated as:

Area(FROG) = $32 \: \rm unit^2$
Perimeter(FROG) = $64\: \rm units$

How to find the area and the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Area of the rectangle = $L * W \: \rm unit^2$
Perimeter of the rectangle = $2(L + W) \: \rm unit^2$

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = √((x-p)^2 + (y-q)^2) \: \rm units.$

The coordinates of the points of the rectangle FROG are given as:

F(-2,5), R(-2,1), G(6,5), and O(6,1) (from its plot, as given below)

FR and RO are length and width pair(we can call any one of them as length and other as width) of the considered rectangle as they are adjacent to each other.

We denote length of a line segment AB by |AB|

Thus, we get:

Length of the rectangle = |FR| = $√((-2-(-2))^2 + (1 - 5)^2 ) = 4$ units
Width of the rectangle = |RO| = $√((6-(-2))^2 + (1 - 1)^2 ) = √(64) = 8 \: \rm units$

Now with the help of length and width, we can evaluate its perimeter and area, as shown below:

Area(FROG) = $L* W = 4 * 8= 32 \: \rm unit^2$
Perimeter(FROG) = $2(L + W) = 2(4 + 8) = 64\: \rm units$

Learn more about distance between two points here:

brainly.com/question/16410393

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\nRF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^(2)+(6+2)^(2)}$

$d=\sqrt{(0)^(2)+(8)^(2)}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^(2)+(-2+2)^(2)}$

$d=\sqrt{(4)^(2)+(0)^(2)}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\nRF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\nRF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

Tomas drew a rectangular with an area of 6 square centimeters. What is the greatest possible perimeter for this rectangle

Answers

There is no "greatest" possible perimeter.

There's a smallest possible perimeter. That's a square.
Since the area is 6 square centimeters, each side of the square is
√6 = about 2.45 cm, and the perimeter is about 9.8 cm (rounded).

But there's no 'greatest' perimeter. You can take that square
and if you're careful, you can make it into rectangles that all have
the same area ... 6 square cm ... but the longer and skinnier
you make it, the greater the perimeter will be.
You can give me a number as big as you want, and I can make
a rectangle with a perimeter of your number, but an area of only
6 square centimeters !

Here are some few examples. They all have
the same area, but different perimeters:

2.45 cm by 2.45 cm ...   Area = 6 square cm ... Perimeter = 9.8 cm

2 cm by 3 cm ... Area = 6 square cm ... Perimeter = 10 cm
1.5 cm by 4 cm ... Area = 6 square cm ... Perimeter = 11 cm
1.2 cm by 5 cm ...    Area = 6 square cm ... Perimeter = 12.4 cm
1 cm by 6 cm ... Area = 6 square cm ... Perimeter = 14 cm
0.8 cm by 7.5 cm ... Area = 6 square cm ... Perimeter = 16.6 cm
0.6 cm by 10 cm ...    Area = 6 square cm ... Perimeter = 21.2 cm
0.5 cm by 12 cm ...    Area = 6 square cm ... Perimeter = 25 cm
0.4 cm by 15 cm ...    Area = 6 square cm ... Perimeter = 30.8 cm
0.3 cm by 20 cm ...    Area = 6 square cm ... Perimeter = 40.6 cm
0.2 cm by 30 cm ...    Area = 6 square cm ... Perimeter = 60.4 cm
0.1 cm by 60 cm ...    Area = 6 square cm ... Perimeter = 120.2 cm

0.001cm by 6,000cm ... Area = 6 square cm ... Perimeter = 12,000.2 cm

$f - 354 = 1221$
A. f=877
B. f=1,565
C. f=867
D. f=1,575

Answers

$f-354=1221$ add 354 to both sides

$f+354-354=1221+354\n\n\boxed{f=1,575}\to\boxed{D.}$

Which of the following relations is not a function? Mark all that apply.O A. {(-3, 8), (9, -12), (4, -1), (3, 8)}
O B. {(4,5),(4, - 7),(4,2), (4,0)}
O C. {(0,0), (4,0), (0.5, 4), (-4,4)}
OD. {(-6, -1),(5, -1), (0, -1), (3, -1)}
O E. {(5, -1}, (4, -2), (3, -3), (5, 1)}

Answers

Answer:

B and E

Step-by-step explanation:

Functions can't have any repeating x-coordinates

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