Which segment is a radius of o 7?

Missy took a math test and got 35 correct and 10 incorrect. What was the percentage of correct answers?(round to the nearest hun

UNO [17]

Answer:

77.77 or 78%

Step-by-step explanation:

She got 35/45 so

35 divided by 45 is 0.777777778

0.777777778 x 100 = 77.7777778

77.77% or 78%

3 0

2 years ago

What is -4 2/3 as a decimal with work

Luba_88 [7]

The decimal equivalent is -4.666....

In order to find this, we need to start by just taking the whole number for itself.

-4.

Now we have to handle the fraction version. In order to do that, we need to do the division and turn into a decimal.

2/3 = .666...

Now we simply put them together and get our answer.

-4.666...

6 0

3 years ago

PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.

Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It is the slope of the line and $(x_ {0}, y_ {0})$ is a point through which the line passes.

We have the following equation of the slope-intersection form:

$y = 4x + 1$

Where the slope is $m = 4$

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}$

Thus, the equation will be of the form:

$y-y_ {0} = - \frac {1} {4} (x-x_ {0})$

Finally we substitute the given point and we have:

$y-3 = - \frac {1} {4} (x-6)$

Answer:

Option B

8 0

2 years ago

If the 32 ounce bottle is 20% more than the typical bottle, how many ounces are in the typical bottle? Round your answer to the

Elenna [48]

6.4 %. hope that helped

4 0

2 years ago

Read 2 more answers

Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.

nika2105 [10]

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

<h3>How to determine the ratio of the areas?</h3>

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

White = 64x²
Circle = 16πx²
Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2