The area of a triangle is found using the formula Area = 1/2 x base x height.
Base = 8
Height = 18.
The area of 1 triangle = 1/2 x 8 x 18 = 72 square units.
There are a total of 4 sides, so total area = 72 x 4 = 288 units ^2
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
It would be 110 calories per serving
Step-by-step explanation:
So a unit rate is measuring how much of something is there if one unit of another thing is present. In this case, there are 8 servings and 880 calories. Now, simply divide both sides by 8 in order to get the unit rate for each serving:
880/8 ---> 110 calories per serving
Answer:
-2x² - 16x + 4
Step-by-step explanation:
Step 1: Write out expression
6x² - 9x + 3 - (8x² + 7x - 1)
Step 2: Distribute negative
6x² - 9x + 3 - 8x² - 7x + 1
Step 3: Combine like terms (x²)
-2x² - 9x + 3 - 7x + 1
Step 4: Combine like terms (x)
-2x² - 16x + 3 + 1
Step 5: Combine like terms (constants)
-2x² - 16x + 4
