Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle W = 180° - 62° - 57° = 61°
The shortest side is directly opposite the smallest angle.
(for acute angles)
Hence the shortest side is opposite 57°, which is VW.
X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = ≈ 12.6 ( to the nearest tenth )
Answer:
Hence the answer to 2 decimal places becomes 55.99
Step-by-step explanation:
SOLUTION
We want to solve:
13.997×4 to 2 decimal places
Now:
13.997×4=55.988
Now, 55.988 to decimal places, after the decimal point, we count the first two numbers, which are 9 and then 8. Then check the number after the 8, is it up to 5? Yes, it is, because it is 8. Now change the 8 to 1 and add it to that second number after the decimal point, this gives nine.
Hence the answer to 2 decimal places becomes 55.99
x= 8 , -3
<h3>What is Quadratic Equation?</h3>
Given:
x² - 5x -24 =0
x² - 8x + 3x -24=0
x(x-8) + 3(x- 8)=0
(x-8)(x+3)=0
x= 8 , -3
Learn more about quadratic equation here:
brainly.com/question/1503435
#SPJ1