Grace has won trophies in several sports. she won 1/3 of her trophies in soccer and 1/2 of trophies in backetball. how many trophies could grace have?

Answers

Answer 1

Answer: Basically speaking, any multiple of 6.

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In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

how many triangles are formed by the diagonal from one vertex in quadrilateral, hexagon, octagon, and decagon??!

Answers

Quadrilateral: two (you can only trace one diagonal and it forms two triangles)

Hexagon: four (you can trace thre diagonals and four triangles are formed)

Octagon: six (you can trace five diagonals and six triangles are formed)

Degagon: eight (you can trace seven diagonals and eight triangles are formed)

It is always true that the number of triangles you can form from a vertex in a convex polygon is the number of sides minus 2.

Denelle draws one card from a standard deck of 52 cards. Determine the probability of drawing either a two or a queen.

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There are four queens in a deck of cards, so the probability of drawing a queen is 4/52. There is also a 4/52 chance of drawing a two. Because you can draw either a two or Queen, you add the probability of each.

4/52 + 4/52 = 8/52

8/52 can be simplified to 2/13

On the map of an amusement park on a coordinate grid, the skating rink is at (−1.5, −1).Coordinate grid shown from negative 3 to positive 3 on x-axis and negative 3 to positive 3 on y-axis. There are increments of 1 over 2 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis.

Which of these shows how to plot the point to mark the skating rink?

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.
From the origin, move 1 unit to the left along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1 unit to the right along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1.5 units to the right along the x-axis and 1 unit vertically down, and place the point.

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the skating rink is at (−1.5, −1).

Here, x-coordinate is -1.5 and y-coordinate is -1.

In a point P(a,b),

If a>0, then the point P is a units right from the origin and if a<0, then the point P is a units left from the origin.

If b>0, then the point P is b units up from the origin and if b<0, then the point P is b units down from the origin.

It the given point (-1.5, -1), a=-1.5 and b=-1 both are negative.

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.

Therefore the correct option is 1.

The first option is correct.

Moving 1.5 units to the left (or -1.5 units to the right).
Moving 1 unit down (or -1 unit up).

Therefore you get the result of (-1.5, 1) as is the location of the rink.

Solve for x.

−10<−2x+4≤8

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$-10 < -2x+4\leq8\ \ \ \ |-4\n\n-14 < -2x\leq4\ \ \ \ |\text{change the signs}\n\n14 > 2x\geq-4\ \ \ \ |:2\n\n\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}$

Which one represents translation

Answers

Answer:

The third one

Step-by-step explanation:

Translation is when it moves

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