All categories

3 years ago

18. Solve the quadratic equation by using the graph.

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

Answer:

x= -1 and 1

Step-by-step explanation:

look at where y=0 and what x value intersects it

You might be interested in

10. EQAO Sam works in Peterborough. Each

Svet_ta [14]

Answer is A, 10.4L per 100km

4 0

3 years ago

Read 2 more answers

Tính giá trị 2a+ 3=? với a=1

MrRissso [65]

Answer:

No te puedo entender lo siento

4 0

3 years ago

132.4 devided to te nearest tenth

Setler [38]

Are you trying to find the nearest tenth to 132.4?

5 0

4 years ago

A hemisphere of radius 3 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the cen

fenix001 [56]

Answer:

R = √(2/3)

h = 1/√3

Step-by-step explanation:

Given that

The volume of a cylinder, V = πr²h

Assuming that the hypotenuse of a right angles triangle in the cylinder is 1. This means the square of the adjacent and the opposite sides is equal to one. And thus,

r² + h² = 1

r² = 1 - h²

If you substitute for r² in the volume of the cylinder, you have

V = π(1 - h²)h

V = πh - πh³

To find the critical point, we differentiate V, so that

dV = π - 3πh², if we equate this to zero, we have

π - 3πh² = 0

π = 3πh²

1 = 3h²

h² = 1/3

h = 1/√3

Also, to find for which value of h do we have maximum or minimum volume, we differentiate again. So that.

V'' = 0 - 6πh

On substituting for h, we have

V'' = -6π * 1/√3

This invariably means that V'' of 1/√3 is less than 0(since it's negative)

Going back to the first formula of r, we have

r² = 1 - h²

On substituting for h, we have

r² = 1 - (1/√3)²

r² = 1 - 1/3

r² = 2/3

r = √(⅔)

3 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Paha777 [63]

Answer: $m\angle R=77.2\°$

Step-by-step explanation:

For this exercise you need to use an Inverse Trigonometric Function called "Arctangent".

By definition:

$\alpha =arctan(\frac{opposite}{adjacent})$

You must observe carefully the triangle PQR shown in the picture attached.

In this case you can identify that:

$\alpha=m\angle R\\\\opposite=PQ=8\\\\adjacent=QR=3$

Therefore, knowing those values you can substitute them into $\alpha =arctan(\frac{opposite}{adjacent})$ , as following:

$m\angle R=arctan(\frac{PQ}{QR})\\\\m\angle R=arctan(\frac{8}{3})$

Finally, evaluating, you get that the measure of the angle R is the following:

$m\angle R=77.15\°$

Rounding to the nearest tenth:

$m\angle R\approx77.2\°$

8 0

3 years ago