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krek1111 [17]
3 years ago
12

Jozy throws a stone off of a bridge into a river. The function fff models the stone's height (in meters) above the water as a fu

nction of time (in seconds) after Jozy throws it. Plot the point on the graph of fff that corresponds to the height above the water from which Jozy threw the stone.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer: it’s 25 from the height line

Step-by-step explanation:

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A fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answ
Leni [432]

Answer:

50%

Step-by-step explanation:

So, we divide by another 2! to cancel out double counting of two T's. Finally, if we divide all 6 different ways of getting exactly 2 heads (and 2 tails) in 4 flips by all possible outcomes 2 * 2 * 2 * 2 = 16 we would get the probability of exactly 2 heads in 4 flips.

5 0
3 years ago
a carnival sold tickets for $1.50 for adults and $1.00 for students. there were 54 tickets sold for a total of $70.50. write a s
Likurg_2 [28]

Answer:

The number of adult tickets are 33 and the number of student tickets are 21 .

Step-by-step explanation:

As

The number of adult tickets x  and the number of student tickets y.

As given

A carnival sold tickets for $1.50 for adults and $1.00 for students.

There were 54 tickets sold for a total of $70.50.

Equations becomes

x + y = 54

1.50x + 1.00y = 54 × 70.50

Simplify the above

\frac{150x}{100} + \frac{100y}{100} = \frac{7050}{100}

150x + 100y =7050

Two equations are

x + y = 54

150x + 100y =7050

Multiply x + y = 54 by 150 from 150x + 100y =7050

150x - 150x + 100y - 150y = 7050 - 8100

-50y = -1050

50y = 1050

y = \frac{1050}{50}

y = 21

Putting the value of y in the equation .

x + 21 = 54

x = 54 - 21

x = 33

Therefore the number of adult tickets are 33 and the number of student tickets are 21 .

8 0
4 years ago
Which conjecture is possible to prove is congruent? A. All quadrilaterals with 4 equal angles B. All triangles with 3 equal angl
igor_vitrenko [27]

Answer:  D. All triangles with 3 equal sides

Step-by-step explanation:

Remember, congruence means that the sides are equal and also the corresponding angles:

A) Quadrilaterals with 4 equal angles.

Here we can have, for example, a lot of different rectangles and squares, because all of them have only 45° angles, but a square is not congruent with a rectangle, so this option is not correct.

B) Triangles with 3 equal angles.

Think in the triangles, the 3 angles are 60°,

But we can craft this angle with a lot of different side lengths, so this is not the correct option, so not all the triangles with equal angles are congruent, then this option is incorrect.

C) Quadrilaterals with 4 equal sides: Here we can have a square, or a rhombus, or a parallelogram, so this option is also incorrect.

D) Triangles with 3 equal sides:

Now, we have the set of all the triangles where the length of the 3 sides is the same.

Now, if you have 3 knowed lenghts (the ones shared by the set of triangles) you can only create one triangle with them, this is known as the SSS criterion of congruence for triangles. This is the correct option.

7 0
3 years ago
How to prove quadrilaterals are parallelograms?
nignag [31]

Answer:

AB: 24

BC: 15

CD: 24

AD: 15

Step-by-step explanation:

A quadrilateral is any shape with four sides. A parallelogram has four sides, therefore it is classified as a quadrilateral.

The opposite sides of a parallelogram are equal to each other, so make the opposite sides of this parallelogram equal to each other in an equation.

AB = DC

  • 2y + 2 = 3y - 9

AD = BC

  • 3x + 6 = y + 4

Now you have a system of equations that you can solve by substitution.

Solve for y in the first equation by subtracting 2 from both sides.

  • 2y = 3y - 11

Subtract 3y from both sides of the equation.

  • -y = -11

Divide both sides of the equation by negative 1 to make y a positive number.

  • y = 11

Substitute this value of y into the second equation we made.

3x + 6 = (11) + 4

Combine like terms on the right side of the equation then subtract 6 from what you get.

  • 3x = 9

Divide both sides of the equation by 3.

  • x = 3

To find the length of each side of the parallelogram, substitute x into AD and y into AB.

  • AD: 3(3) + 6 = 15
  • AB: 2(11) + 2 = 24

Since AD = BC and AB = DC, you know the lengths for these sides as well.

6 0
3 years ago
You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. Abo
marusya05 [52]

Answer: b

Step-by-step explanation: 12.5

4 0
3 years ago
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