Answer:
90 cubes.
Step-by-step explanation:
First we find volume of the cuboid.
Volume = l x b x h = 20 x 18 x 16 = 5760 cm³
Now,
Volume of a single cube = l³ = 4³ = 64
No of cubes that can be cut out from the cuboid is
= Volume of cuboid/ volume of cube
= 5760/ 64
= 90 cubes
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Now we will subtract equation 1 from equation 2 we get;

Dividing both side by 40 we get;

Now we will substitute the value of x in equation 1 we get;

So we can say that the equation can be written as;

Hence we can say that fixed rate is $60 and per student charge is $3.
<h3>
Answer: 30.78181 meters</h3>
The value is approximate. Round that however you need to.
========================================================
Explanation:
- lowercase a = side opposite angle uppercase A
- lowercase b = side opposite angle uppercase B
- b = AC
Using the law of sines, we can say:
a/sin(A) = b/sin(B)
45/sin(30) = b/sin(20)
b/sin(20) = 45/sin(30)
b = sin(20)*45/sin(30)
b = 30.78181 approximately
You'll need to make sure your calculator is in degree mode.
We have x = 4 repeating itself
If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.
The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.
This is why we don't have a function.