Answer:
D
Step-by-step explanation:
Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.
We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.
We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.
From there subtracting 12100 from both sides gives b²=5626.2596.
Square rooting b isolates it, leaving b=75.0083969.
Since the value of the diagonal was approximate, this can be assumed the b is 75m.
**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!
Answer:
<h2>N = 68°</h2>
Step-by-step explanation:
Since ∆LMM is a triangle all it's interior angles sum up to 180°
To find M add up all the angles and N and equate it to 180° to find N
That's
L + M + N = 180
33 + N + 79 = 180
N + 112 = 180
N = 180 - 112
We have the final answer as
<h3>N = 68°</h3>
Hope this helps you
Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)
Answer:
I think its 10
Step-by-step explanation:
Add all three then divide by three.
Answer:
$18
Step-by-step explanation:
The initial price is $25
When the first 10% is off, the new amount is (100 - 10)% x 25
= 0.9 x 25
= 22.5
With an additional 20%
the new amount is (100 - 20)% x 22.5
= 0.8 x 22.5
= $18