Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the measure of length side FG
In the right triangle EFG
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values


step 2
Find the measure of length side EF
In the right triangle EFG
we know that
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values


step 3
Find the measure of angle G
we know that
---> by complementary angles in a right triangle

If 42% of paint is white to get the result we just have to finid 42% of 18.
42% of 18 = 0.42*18=7.56$ - its our result
Answer:
x = 1.5
Step-by-step explanation:
Given


Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if
, then

Multiply both sides by 2


Similarly;

Multiply both sides by 2


Merging these results together; to give

This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (
), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Answer:
-4
Step-by-step explanation:
y=3x - 1 x= -1
y = 3(-1) -1
y = -3 -1
y= -4
Answer:
A. 162
B. 128
Step-by-step explanation:
We have wooden cubes of 2 in of side.
A. If the box is 18 x 12 x 6 in., in the base (18 x 12), we can fit 54 cubes:

As the height is 6 in, we can fit 6/2=3 layers of 54 cubes in the box, se we can fit 162 cubes:

B. If we have a box with measures 16 x 9 x 9 in., and the base is 16x9 in, we can fit (16/2)*(9/2)=8*4=32 cubes per layer.
Note that in the 9 in side we can only put 4, as we need 10 in to fit 5 cubes (we can not cut them).
In the same way, as we have 9 in of height, we can fit 4 layers of 32 cubes, so this is a total of 128 cubes:
