All categories

3 years ago

Which of the following ratios has the same ratio value as 4:6?

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

Answer:

6:9

Step-by-step explanation:

the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9

You might be interested in

A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of co

r-ruslan [8.4K]

First let's find how many total ounces it would be by multiplying 16 ounces by the number of mugs (26).

16 × 26 = 416

So she needs 416 ounces of coffee. Now we have to convert ounces to quarts. We need to know that there are 32 ounces per quart. So to find quarts we divide 416 ounces by 32...

416 ÷ 32 = 13 quarts

*FYI- since the mugs hold 16 ounces we can see that 16 is half of 32 so we could have just taken 1/2 of 26 mugs which is 13.

4 0

3 years ago

B = 10 feet area = 35 feet 2 Find the height of the triangle.

Alexandra [31]

Answer:

Height is 7m

Step-by-step explanation:

B = 10 feet area = 35 feet 2 Find the height of the triangle.

Area of triangle = 1/2 b×h

35 = 1/2(10×h)

35 × 2 = 10h

70 = 10h

h = 70/10

h = 7m

8 0

3 years ago

Consider the graph of the line y = x – 4 and the point (−4, 2).

Hitman42 [59]

Answer:

a. The slope of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

a. For the line $y = x - 4$

You can identify that:

$m=1$

By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:

$m=1$

b. The equation of the line in Point-slope form is:

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

Where m is the slope and ( $x_1,y_1$ ) is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = (x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=1$ :

$y -2 = (1 +4)$

$y= 5+2$

$y= 7$

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:

$m=-\frac{1}{1}\\\\m=-1$

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = -1(x +4)$

$y -2 = -(x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=3$ :

$y -2 = -(3 +4)$

$y= -7+2$

$y= -5$

Then, you get the point (3,-5)

8 0

3 years ago

If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?

7nadin3 [17]

So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!

4 0

3 years ago

A spinner with 10 equally sized slices is shown below. (3 slices are blue, 2 are yellow, and 5 are rec the probability that the

Ainat [17]

Answer:

1/2

Step-by-step explanation:

Blue + yellow = 3 + 2 = 5 out of 10 slices

5 out of 10 = 5/10 = 1/2

5 0

2 years ago