Answer:
Step-by-step explanation:
Co-ordinates of F, G and H are:
F (-4, 5)
G (1, 10)
H (-9, 10)
You can find the lengths of sides by using the distance formula:
<em>length</em>(FG) =
=
units
Similarly,
<em>length</em>(GH) = 10 units
<em>length</em>(HF) =
units
Hence, perimeter will be:
P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) =
units
Answer:
x = 21/4
Step-by-step explanation:
re-arrange the equation
-4+5x-7-3x = 10-2x (move 3x to the other side)
-4+5x-7-3x+2x = 10 (move 2x to the other side)
5x-7-3x+2x = 10+4 (move 4 to the other side)
5x-3x+2x = 10+4+7 (move 7 to the other side)
4x = 21 (add up both sides)
x = 21/4 (divide both sides by 4
Answer:
The tree is 17.5 ft tall
Step-by-step explanation:
We can use proportions to solve this.
Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).
The nearby tree (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.
Then we can use the proportion associated with the sides of similar triangles:

Then, we can solve for H in the equation:

Answer:

Step-by-step explanation:
we know that
If the measures of the major arc CBD is equal to
degrees
then
the measure of its corresponding central angle is equal to
degrees
so
Convert degrees to radians
Remember that

so by proportion
Convert
to radians

Answer: 2.15277777778
Step-by-step explanation: