Answer:
108 in²
Step-by-step explanation:
Given that the legs of a right triangle are 12" and 18".
Be cause it is a right triangle (with 90 degrees between the legs), we can arbitrarily assign one of these to be the height and the other value automatically becomes the base.
Let 12" be height and 18" be base
area = 1/2 x height x base
= 1/2 x 12 x 18
= 108 in²
Answer:
Step-by-step explanation:
- E = 0.07s + 250
- 0.07
- Salary per week
- What he makes if he doesn't sell anything that week
- $4000
Answer:
411.38
Step-by-step explanation:
When you add 27.38 and 384 together, you get 411.38.
Answer:
Step-by-step explanation:
- 7 + 3x - 12x = 3x + 1
- 7 - 9x = 3x + 1
- 3x + 9x = 7 - 1
- 12x = 6
- x = 6/12
- x = 1/2
It has one solution
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
