Answer:
okay let's start
Step-by-step explanation:

Answer:
12.3 feet.
Step-by-step explanation:
As we are given that
is an right angled triangle.

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled
, we know that:

Here,
is
, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So, 

Putting the values of <em>PN </em>and
.

Hence, the value of <em>OP </em>is
.
Answer:
0.43
Step-by-step explanation:
2+3+1+1=7
7*4+28==Area of full shape
(2*4)+(1*4)=12==Area of shaded shapes
12/28=0.428571>rounded up>0.43
Answer:
80
Step-by-step explanation:
Since you need 10 loads you know that for 4 loads you use 32 gallons. And to go from 4 to 10 you divide 10 and 4 to get an answer of 2.5. So all you have to do is multiple 32 gallons by 2.5 to then get an answer of 80.
Answer:
5 units
Step-by-step explanation:
According to the given statement Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.
To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs
The square of the required distance = 4^2+3^2 = 16+9 =25
By taking root of 25 we get:
√25 = 5
Thus, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ is 5 units.
..