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:
Step-by-step explanation:
12x³ = 2²·3·x³
The greatest common factor of 12x³ and 3x² is 3x².
12x³ - 3x² = (4x - 1)3x²
Answer:
Connect the intersections of the diameters and the circle with a segment
Step-by-step explanation:
Assuming the construction creates two orthogonal diameters, their ends will be the vertices of the inscribed square. Connecting them with segments in order around the circle will create the square.
Answer:
A correctly shows the location of all the given values.
Step-by-step explanation:
The main difference can be found with the value -2
. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.
Hope this helps~!
The cotangent function can be obtained by taking the reciprocal of the tangent of the same angle. Using a calculator, taking the tangent of 10 degrees and taking the reciprocal of the answer would yield the correct one. With that, the correct answer would be D.) 5.671.