Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
Answer:
5.86
Step-by-step explanation:
Answer:
a) 17.88 m/s
b) 12.34 m/s
Step-by-step explanation:
Given:
Total time time taken to reach the cottage = 4 hours and 28 minutes
or
= 4 × 60 + 28 = 268 minutes
= 268 × 60 = 16080 seconds
Total distance covered = 178.7 miles
also,
1 miles = 1.609344 km
thus,
178.7 miles = 178.7 × 1.609344 km = 287.5897728 Km
also,
1 Km = 1000 m
287.5897728 Km = 287.5897728 × 1000 = 287589.7728 m
Total displacement = 123.3 miles = 123.3 × 1.609344 km = 198432.1152 m
Now,
a) Speed =
or
Speed =
or
Speed = 17.88 m/s
b) Velocity =
or
Velocity =
or
Velocity = 12.34 m/s
Answer:
GE = 3 cm
Step-by-step explanation:
BE = 9 cm
Since G is the centroid, therefore:
=> Centroid theorem
Plug in the value
GE = 3 cm
1. where is the y intercept of any direct variation
equation?
A direct variation equation is one in which the general
form is:
y = k x
where k is the constant of proportionality
The y-intercept in this case is therefore zero so it is
located on the origin (0, 0)
2. The equation which is a direct variation is:
3)
3x-7y=0
Because
we can write this as:
y =
(3/7) x
3. what is the direct variation equation if y=8 and x = 4?
We solve for the value of k since we know that:
k = y/x
k = 8/4 = 2
So the equation is:
y = 2x
4. what is the direct variation equation if y =-5 and x =
7?
We also solve for the value of k since we know that:
k = y/x
k = -5/7
So the equation is:
y = (-5/7) x