The length of the shorter rope is 20 cm.
<h3>How to find the original length of the rope using ratio?</h3>
He cut a rope into two pieces with lengths having a ratio of 5 to 2.
The shorter piece is 70 cm long.
The length of the original rope can be calculated as follows:
The ratio of the length of the rope is as follows;
5 : 2
let
x = length of the original rope
Therefore,
length of shorter piece = 2 / 7 × 70
length of shorter piece = 2 / 7 × 70
length of shorter piece = 140 / 7
length of shorter piece = 20 cm
Therefore, the length of the shorter rope is 20 cm.
learn more on ratio here: brainly.com/question/15418103
#SPJ1
Answer:4^6
Step-by-step explanation:
<em>The number of times a term is multiplied is the exponent you use.</em>
<em></em>
<em>In this problem </em>
<em>4 is multiplied 6 times.</em>
<em></em>
<em>Therefore: 4*4*4*4*4*4=4^6</em>
Answer:
yes it is 8
Step-by-step explanation:
Answer:
Either y =
or, y =
Step-by-step explanation:
We have to solve the following quadratic equation
45y² + 15y - 10 =0
Now, dividing both sides with 5 we get, 9y² + 3y -2 =0
Hence, to solve the above equation we have to factorize the left-hand part of the equation.
So, 9y² + 3y - 2 =0
⇒ 9y² +6y -3y -2 =0
⇒ (3y +2) (3y -1 ) =0
⇒ Either (3y +2) =0 or (3y -1) =0
⇒ Either y = or, y = (Answer)
Answer:
Step-by-step explanation:
base=42 m
height=h=?
base angle θ=60°
tan 60=h/42
h=42tan 60=42√3≈72.75 m
height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m
