Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,
180 = m<1 + m<2 + m<3
180 - m<3 = m<1 + m<2
But, we also know that m<4 + m<3 = 180 degrees.
180 = m<3 + m<4
180 - m<3 = m<4
Both m<4 and m<1 + m<2 equals 180 - m<3
m<4 = m<1 + m<2
Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
Answer:
The area is 78.5, the farmer does have enough space to plant his vegetables
Step-by-step explanation:
To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)
Plug in your numbers, A= 3.14(5)²
A= 3.14(25)
The area is 78.5
So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:

where:

and

Therefore:


Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.