Answer:
Step-by-step explanation:
The three pieces of fencing he has to use are 8 feet, 15 feet, and 20 feet long. For him to be able to make a right triangle with his fence, the length of the sides must form a Pythagoras triple. To determine if the lengths make a Pythagoras triple, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent².
Therefore
20² = 8² + 15²
400 = 64 + 225 = 289
Since they are not equal, it means that they do not form Pythagoras theorem, thus,.
He will not be able to make a right triangle with his fence.
Answer:
X is 2413.636363 (repeating)
Step-by-step explanation:
Easy explanation
To find the percent of a value, you multiply the percent by the value (x * 0.044)
To find the whole value of a percent, you divide the percentage by the value given.
Hard Explanation
The equation of this question is written out like this:
X * 0.044 = 106.2
Isolate the variable by dividing by both sides 0.044
X=2413.6363 (repeating)
Negative 36 and negative 3
Answer:
Step-by-step explanation:
a1=90-a2
a1=90-30=60
a2 is opposite 30 and opposite angles are equal so
a2=30
The sum of the angles of a triangle are equal to 180 degrees.
a2+a3+70=180
a3+30+70=180
a3=100=180
a3=80
Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° =
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x =
≈ 88.2