Answer:
Step-by-step explanation:
surface area=2×1/2×10×12+2×1/2×2×13+10×2
=120+26+20
=166 square units
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
The numbers are 3 and 18
Step-by-step explanation:
- Step 1: Let one number be x. Then the other number = 6x.
Also, 6x = 12 + 2x
⇒ 4x = 12
⇒ x = 3
⇒ 6x = 18
Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2
Angle 3 is 78 degrees. same as angle 5.
