Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>
From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52
</span>MASS (grams) VOLUME (cubic cm.)
34.932 4.1
47.712 5.6
61.344 7.2
99.684 11.7</span>
Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.
If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.
First time the area of the circle and the square.
The radius of the first is 4, so the area of the circle is 16pi.
The area of the square is 32.
You can subtract the area of the circle by the square because some most of the circle is being covered by the square.
16pi-32 is the area of the circle that is visible.
16pi-32:32 can be simplified to pi-2:2
So the probability that a randomly selected point within the circle falls in the white area is
pi-2:2 or in decimal terms, ≈1.14:2
360 / 6 = 60
60 x 10 = 600
600 is your answer
Answer:
2
Step-by-step explanation:
Answer:
The statements must be true are A , D , E
Step-by-step explanation:
* Lets explain the figure
- There is a triangle
- Its interior angles are x° , y° , z°
- The angle of measure w° is an exterior angle of the triangle at the
vertex whose measure is z°
- There a fact in the triangle is the measure of the exterior angle of a
triangle at one of its vertices is equal to the sum of the measures
of the two opposite interior angles to this vertex
∵ w° the measure of the exterior angle of the vertex whose measure
is z°
∵ x° , y° are the measures of the opposite interior angles of the angle
whose measure is z°
∴ w° = x° + y°
∴ w° > x°
∴ w° > y°
* Lets find the statements must be true
# w > x ⇒ A
# x + y = w ⇒ D
# w > y ⇒ E
