Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that 
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of 
as follow:
Now lets plug in the value into the expression for angle ∠RNS to find the angle as:
Thus Option A. is the correct answer.
The surface area of the cylinder to the nearest tenth is: 628.3
The surface area without rounding is: 628.32
Because <span>−8</span><span> does not contain the </span>variable<span> to solve for move it to the other side of the </span>equation<span> by adding </span>8<span> to both sides.
</span><span>5x=8+37
</span>Add 8<span> and </span>37<span> to get </span><span>45.
</span><span>5x=45
</span>Divide<span> each </span>term<span> by 5.
</span>x=<span>9
</span>
x is equal to 9
Answer:
h = 590
Step-by-step explanation:
To find x, rearrange the equation to where h is on its own side.
<u>Rearranged equation:</u>
Since 169 added to h was to find 769, 169 subtracted from 759 represents h.
<u>Solve:</u>
590 = h.
Answer: Area = 1500 feet^2
Step-by-step explanation:
Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet
Let length = x
Let width = w
The length of the garden,x is 10 feet more than twice it's width, w. This means
x =10+2w---------1
Perimeter = 2x+2w =170---------2
Putting equation 1 in equation 2,
2(10+2w) +2w= 170
20 + 4w +2w = 170
6w = 170-20=150
w = 150/6
= 25feet
Put w=25 in equation 1
x =10 +2×25= 10+50=60 feet
Area = length × width = x×w
= 60×25=1500feet^2
