NUMBER 3 :
150 feet / 15 = 10 units
120 feet / 15 = 8 units
So it will be 10 units by 8 units
NUMBER 4:
A) 525/4.2 = 120
The scale used was 120
B) 0.6 inches = 0.0152
525 / 0.0152 = 35 sheets tall
Answer:
<em>Option D</em>
Step-by-step explanation:
Assume that these polygons were similar. You could tell that if they were, ABCD ~ EFGH, and is already noted by the answer choices. We can conclude that AB ~ EF, CD ~ GH and so on. To prove that these shapes are similar, we must form a like proportionality among these side;

As the proportions we formed were to equal to one another,<em> the solution must be option D!</em>
Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
This is the standard for of seven hundred (700) thirty (30) one (1) :
Answer: 731
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters