9. An object travels along a horizontal straight path at a constant rate. The object travels of the length

Which of the following is in Integrity but not a whole number A -9.6 B -4

abruzzese [7]

Answer:

B. -4.

Step-by-step explanation:

3 0

3 years ago

A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so that the water level rises at a

polet [3.4K]

Answer:

32cm³

Step-by-step explanation:

the volume of a cone is

V

=

π

r

2

h

3

in this case, we can relate

h

and

r

as we know that the slope =

h

r

=

10

5

=

2

we can make the volume a formula in a single variable

V

=

π

(

h

2

)

2

h

3

=

π

h

3

12

differentiating wrt time, it follows that

.

V

=

3

π

h

2

.

h

12

=

π

h

2

.

h

4

so to address the question

.

V

=

π

8

2

⋅

2

4

=

32

π

c

m

3

/ sec

6 0

4 years ago

Find side lengths C and H

Nuetrik [128]

Answer:

$\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\$

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

$\displaystyle tan60^o=\frac{2}{c}$

Solving for c

$\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}$

Rationalizing

$\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}$

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

$\displaystyle sin45^o=\frac{7}{h}$