Answer:
the area is 10 feet by 10 feet, 100 feet²
subtract the area of the circle from this.
you get it by A = r² * pi
so 5² * 3.14159...
=78.5398163397
100-78.5398163397
is roughly 21.46 square feet
Answer:
Area = 21.7 cm² (nearest tenth)
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle. The measures of its sides have a special relationship in that they are in proportion:
shortest leg : longest leg : hypotenuse = 1 : √3 : 2
- The side opposite 30° is the shortest leg
- The side opposite 60° is the longest leg and is √3 times the length of the shorter leg.
- The side opposite 90° is the hypotenuse and is twice the length of the shorter leg.
So we can also write the ratio as
where
is the shortest side.
From inspection of the diagram, the shortest side is 5 cm
⇒ BC (height) = 5 × √3 = 5√3 cm
Now we have the height, we can calculate the area.
Area of a triangle = 1/2 x base x height
= 1/2 x 5 x 5√3
= 21.7 cm² (nearest tenth)
Solution is 1/y²z²
Step-by-step explanation:
Answer is shown in the attachment.
Answer:
7.5kg
Step-by-step explanation:
Given that:
Monday:
Mass of sand = 24 kg
Mass of cement = 5 kg
Tuesday :
Mass of sand = 36 kg
Let mass of cement = c
Mass of cement required to make the same type of mortar mix
Mass of Sand = mass of cement
24kg = 5kg
36kg = c
By cross multiplication :
24 * c = 5 * 36
24c = 180
Divide both sides by 24
c = 180 / 24
c = 7.5 kg
Hence mass of cement required is 7.5 kg