What is the total mass (in tonnes) of 3 500 books each of mass 800 grams?

Kruka [31]

Probably they never forget to give the Miranda warning.

8 0

3 years ago

If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?

aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0

3 years ago

Read 2 more answers

7) Adrian used the spinner below for a probability experiment. He spun the

N76 [4]

Answer:

50%

Step-by-step explanation:

There are 8 tiles on the spinner, 4 of which are red.

4/8 = 1/2 - 50%

There is a 50% chance that the spinner will land on red.

4 0

3 years ago

Please Help Me Asap I Need Units Too

Lina20 [59]

Hello and Good Morning/Afternoon

Let's take this problem step by step:

To find the rate of change is essentially like finding a line's slope:

⇒ the x-values are the number of sodas

⇒ the y-values are the total costs

⇒ choose two sets of coordinates and find the slope

Let's put that into action

Choose any two points

⇒ (24, 18)

⇒ (28, 21)

Calculate Slope

$Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}$

Since the rate of change is total cost over number of sodas

⇒ unit is 'total cost/number of sodas'

Answer: 3/4 total cost/number of sodas

Hope that helps!

#LearnwithBrainly

3 0

2 years ago

The bearing of Q from P is 150

Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

Part (i)

see first attached diagram

Part (ii)

The angles marked in blue on the second attached diagram are Consecutive Interior Angles. In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

Part (iii)

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0

2 years ago