Answer:
There are <u>25920</u> cubic inches and <u>0.56</u> cubic yards in the box.
Step-by-step explanation:
Given:
The dimensions of the box are 3 in by 2 ft by 10 yd.
Convert all in inches.
We know that, 1 ft = 12 in
So, 
Also, 1 yd = 36 in
So, 
Now, volume of the box in cubic inches is given as:

Now, we know that,

Therefore,

So, there are <u>25920</u> cubic inches and <u>0.56</u> cubic yards in the box.
Answer:
Linear pair is a pair of adjacent angles formed when two lines intersect.
so,
and
are linear pairs.
Linear pairs are always supplementary.
therefore,
......[1]
Also, it is given in figure, 
Substitute in [1], we get;
Simplify:

Exterior- Angle sum Property states that if the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
then by Exterior angle sum property ;

Substitute the values given in the figure;

simplify;

therefore, the measure of angle ACB is, 
The unit rate is 10 cal per minute.
150/15 = 10
Answer:
The value of x = 5 and y = 2
The correct answer is last option
Step-by-step explanation:
From the figure we can see that, subtraction of two matrices.
The resultant matrix shows the corresponding terms difference.
<u>To find the value of x</u>
1/2(x + 3) - (3*(-1)) = 7
x/2 + 3/2 +3 = 7
x/2 +3/2 = 7 - 3 = 4
x + 3 = 8
x = 8 - 3 = 5
x = 5
<u>To find the value of y</u>
8/2 -3 (y +1) = -5
4 - 3(y +1)/ = -5
3(y +1) = 4 + 5 = 9
y + 1 = 9 / 3 = 3
y = 3 - 1 = 2
Therefore the value of x = 5 and y = 2
The correct answer is last option