Can someone please help me with this

John Paulo bought 10 plastic discs. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?

Yuki888 [10]

Answer:

9

Step-by-step explanation:

.9*10=10

it's basically simple multiplication with a decimal

4 0

2 years ago

A classmate said that line AB and line DC are parallel based on the diagram below. Explain your classmates error.

MatroZZZ [7]

<em><u>Explanation</u></em>:

The only information we have to go on is that ∠AWZ ≅ ∠XYC. However, these are not specific kinds of angles that can prove lines parallel. If we had a pair of alternate interior angles, such as ∠AWZ and ∠WZY, we could say that the lines are parallel. However, we do not have enough information.

3 0

3 years ago

Find X and y<br><br> 12, 16

zavuch27 [327]

Answer:

x = 6√2
y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

__

long side/short side = x/6 = 12/x

x² = 72 . . . . . . . multiply by 6x

x = 6√2 . . . . . . take the square root

__

hypotenuse/long side = y/12 = (12+6)/y

y² = 216 . . . . . multiply by 12y

y = 6√6 . . . . . take the square root

8 0

2 years ago

Is my answer choice correct ?

77julia77 [94]

Answer:

Yes that's correct

4 0

2 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

2 years ago