Given an isosceles triangle with a leg length of 24 inches and a perimeter of 82 inches.
This means that the length of the other side is 82 - 2(24) = 82 - 48 = 34 inches
Given that the triangle is rotated about a line that passes through points B and D, point D being the midpoint of line AC.
Then, the resulting <span>three-dimensional figure will be a cone with a base radius equal to the length of line AD (i.e. half of the length of line AC being the other side of the isosceles triangle).
The base radius of the resulting cone is 1/2 (34) = 17 inches</span>.
Therefore, the resulting <span>three-dimensional figure is a cone with base radius of 17 in</span>ches.
PART A. a=123, b=123, c=57
The angle that is labeled as 123 degrees is an alternate interior angle to b. Alternate interior angles are congruent, meaning that b=123.
a and b are vertical angles. Vertical angles are congruent, meaning that the angles for angle a and angle b are the same. So a=123.
C is a linear pair angle. Meaning that 123 and angle c equals to 180 degrees.
So you do 180-123 which would equal to 57.
PART B. d=98, e=98, f=98
The angle with the degree of 82 and angle f are linear pair angles. Meaning that when added together, they equal to 180.
So you do 180-82, which would equal to 98. F=98.
Angles d and f are corresponding angles. Corresponding angles are congruent. So if f equals to 98, then d also equals to 98.
Angles d and e are vertical angles. Vertical angles are congruent. So angle e also equals to 98 degrees.
PART C. g=75
The angle with the degree of 75 are alternate interior angles to angle g. Alternate interior angles are congruent. Meaning that g equals to 75 degrees.
Use the formula for compound interest,
Where P is the starting amount (500$), r is the rate of interest (0.04), n is the number of times the interest is compounded per unit (1 per year), and t is the amount of time it is compounded (5 years).
Now, plug it into the formula:
Do the math,
and your answer is she must pay <span>
608.32$ when she pays her debts.</span>
Answer:
3
Step-by-step explanation:
by question
5x+2=17
5×=15
×=3
Answer:
294
Step-by-step explanation:
126 / 6 = 21
21 x 14 = 294