Answer:
x=18.9
Step-by-step explanation:
tan48=x/17
17tan(48)=x
18.9=x
Answer:
180 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,
A+B+C=180
15+90+B=180
B=180-90-15
B=75 degrees
Using the sine law,
a/sinA = b/sinB = c/sinC
where a, b, and c are the sides of the triangle,
So,
a/sin15 = 37/sin90
and
b/sin75 = 37/sin90
Simplifying, and solving for a and b, the measure of each side is
a= 9.58 units
b=35.74 units
I hope this helped. I am sorry if you get this wrong.
You take 22x40 and u get 480 that's how many hats of jam u can use to fill 40 boxes of 12 then u take the answer 480 subtract from 542 and you get 62 jars left over
Answer:
#1. 5x - 24
#2. 10x - 1
#3. 10x -14
#4. 6x - 12
#5. 3x63 + 5x^2 - 3
#6. 12a + 43
#7. -7x + 5y + 28
#8. 3x + 3(not sure about the last exponent because It was really blury to see :/
Step-by-step explanation:
Sorry I cant do the last because I have to now :) I will try to answer it next time if It isn't already answered :)
It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).
4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.
diagonal^2 = 16^2+12^2
diagonal = 20 in
7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.
50mph x 3hrs = 150mi
40mph x 3hrs = 120mi
The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.
distance^2 = 150^2+120^2
distance = 192 mi approx.
8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.
18 x 5 = 90 ft of wiring
From the work I see, you have a great understanding of the pyth. theorem. Keep it up!
