Answer:
4
Step-by-step explanation:
rise is 4
run is 1
4/1=4
Answer:
All answers are to 2 decimal places for accuracy.
1. Width is 27.71"
2. TV Size is 69.84"
3. Width is 51.96"
4. TV Size is 40.13"
5. Height is 26.06"
6.
Part 1: Diagonal is 61.91"
Part 2: Diagonal is 60.21"
Step-by-step explanation:
THe pythagorean theorem tells us that the sum of two legs of a triangle squared equal the hypotenuse squared.
<u>Note: </u>This applies for right triangles and the side opposite of the right angle is the hypotenuse
Also, to solve the first 5 problems, we can say:
#1 32” TV height: 16” width: _____
Let width be w
Width is 27.71"
#2 _____ TV height: 34” width: 61”
Let tv size be t
TV Size is 69.84"
#3 60” TV height: 30” width: _____
Let width be w
Width is 51.96"
#4 _____ TV height: 20” width: 35”
Let tv size be t
TV Size is 40.13"
#5 52” TV height: _____ width: 45”
Let height be h
Height is 26.06"
#6
<u>Part1:</u>
New dimensions would be
48+5 = 53" Width
27+3 = 30" Height
Let diagonal be d, so
Diagonal is 61.91"
<u>Part 2:</u>
New dimensions are:
48+3 = 51" Width
27 + 5 = 32" Height
Let diagonal be d, so
Diagonal is 60.21"
First problem: draw a line segment through the vertex R and a point C on PQ such that the segment is perpendicular to PQ, thus forming an altitude of the triangle. This new segment CR, the new segment CP, and PR form a 30-60-90 right triangle, where the measure of angle PCR is 90 degrees. CR then occurs with PR in a ratio of
to 2, so
and this can be considered the height of a triangle whose base is PQ. The area is then
Second problem: the sum of the interior angles of any triangle is 180, so the measure of the missing angle must be 180 - 20 - 35 = 125 degrees. By the law of sines, the length of the missing side (call it
) satisfies
Use Heron's formula to find the area of the triangle:
where
is the area,
are the lengths of the sides, and
is the half the perimeter of the triangle. Then the area is about
square feet. Convert to square yards:
then round up to 7 square yards. At a price of $12.50 per square yard, the total price will be $87.50.
Answer:
There is no graph to find an inequality on...
Step-by-step explanation: