Answer:
12
Step-by-step explanation:
A parallelogram has 4 sides. Opposite sides of a parallelogram are parallel and congruent.
Since one side has length p, its opposite side also has length p.
Since one side has length 17 ft, its opposite side also has length 17 ft.
The lengths of the 4 sides are p, p, 17 ft, and 17 ft.
The perimeter is the sum of the lengths of the sides, and it is 58 ft.
p + p + 17 + 17 = 58
2p + 34 = 58
2p = 24
p = 12
I think Jessie is correct because if u mutipy those two numbers so therefore Jessie is correct if you need me to explain more plz let me knoe
Answer:
This is a long answer. I got 82.5
Step-by-step explanation:
Area of isoceles triangle is
where b is the base and h is height.
Let draw a altuide going through Point D that split side FE into 2 equal lines. Let call that point that is equidistant from FE, H.
Since it is a altitude,it forms a right angle. So angle H=90.
Angle H is equidistant from F and E so
FH=11
EH=11.
The height is still unknown.
We can use pythagorean theorem to find side h but we need to know the slanted side or side DF to use the theorem.
Using triangle DFH, we know that angle H is 90 and angle F is 34. So using triangle interior rule,Angle D equal 56.
- We know side FH=11
- We know Angle D equal 56
- We are trying to find side DF
- We know angle H equal 90
We can use law of sines to find side DF
Plug in the numbers
sin of 90 =1 so
Side df is about 13.3 inches.
Since we know our slanted side is 13.3 we can set up our pythagorean theorem equation,
is approximately 7.5 so dh=7.5 approximately.
Now using base times height times 1/2 multiply them out
Answer:
8.66 feet or 5sqrt(3) feet
Step-by-step explanation:
If the original length of the pole was 15ft and the unbroken section is 5ft, then the broken part (diagonal) has a length of 15-5 = 10ft
Using the Pythagorean Theorem, we can calculate the length of x:
a^2+b^2=c^2
5^2+b^2=10^2
25+b^2=100
b^2=75
b=sqrt(75)
b=5sqrt(3)
b=8.66
So the value of x is 8.66ft or 5sqrt(3)ft
Answer:
The area is 83.905 cm^3
Step-by-step explanation:
The total ratio is 9 + 7 + 6 = 22
So the length of the sides are as follows;
9/22 * 44 = 18 cm
7/22 * 44 = 14 cm
6/22 * 44 = 12cm
we can use Heron’s formula to find the area of the triangle
we find a first
s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22
Mathematically, the Heron’s formula is as follows;
A = √s(s-a)(s-b)(s-c)
where a, b and c are 18,14 and 12 respectively
Plugging the values, we have;
A = √22(22-18)(22-14)(22-12)
A = √(22 * 4 * 8 * 10)
A = √(7,040)
A = 83.905 cm^3