Answer:
48.8 lbs
Step-by-step explanation:
The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:
a/sin(A) = c/sin(C)
x/sin(26°) = 80/sin(134°)
x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds
The larger component force is about 48.8 pounds.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (0, -4)
Point (10, 3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
Answer:
27 cm²
Step-by-step explanation:
Formula of Area Triangle = 1/2(base x height)
Base = 6 cm
Height = 9 cm
1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27
Units = cm * cm = cm²
27 cm²
<u>Why the formula (1/2 ( base x height )) works:</u>
Take a triangle
Duplicate the triangle
And rotate the triangle and put it next to the other one
What shape does it form?
Either a parallelogram or a rectangle
The formula for a parallelogram or rectangle is (base x height)
Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.
So, do base x height
And divide by 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle =
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A =
Multiply 2h(h) -5(h)
Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm