Answer:
a = 10
Step-by-step explanation:
Since the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the point (2, 5 ) with x = 2 and y = 5
k =
=
= 2.5
y = 2.5x ← equation of variation
Using the point (4, a) with x = 4, then
y = a = 2.5 × 4 = 10
Answer:
A = 13 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 (6.5) * 4
A = 13 cm^2
Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
![\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85](https://tex.z-dn.net/?f=%5Cfrac%7B3.5x%7D%7B3.5%7D%3D%5Cfrac%7B150%7D%7B3.5%7D%5C%5Cx%3D42.85)
Hence,
The actual height of telescope is 42.85 inches
0.15x + x <(or equal to) 50
Where x is the meal's cost (no tip included)
50 - 15% = 42.5.
x >(or equal to) 42.50.
(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)
Answer:
Step-by-step explanation:
As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .