Here the answer is: 0.76 and 1.84
I hope I don't have to explain it again.
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer:
48 - 16 = 32
Step-by-step explanation:
Use the PEMDAS method to help you solve the problem.
Parenthesis
Exponents
Multiply (Left to right)
Divide (Left to right)
Add (Left to right)
Subtract (Left to right)
32 ÷ 4 = 8
8 x 2 = 16
48 - 16 = 32
5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.
Men = 5 'parts' = 5 x 28 = <u>140 men</u>
Women = 8 'parts' = 8 x 28 = <u>224 women</u>
<em><u>Check:</u></em>
140/224 = 70/112 = 35/56 =<em> </em><em>5/8</em>
140 + 224 = <em>364</em>
yay !
Answer: 
Step-by-step explanation:
1. To find the equation asked, you must add the times:
Where 
is the time takes Lilly in her path to work and 
is the time takes Lilly in her path to home.
2. You must use the following formula of speed and solve for the time
Where n is the distance, V is the speed and t is the time.
3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:
4. And her train ride follows the same path at 45 miles per hour:
5. Then, you obtain the following equation:
