Answer:
2177.5
Step-by-step explanation:
5x435.5=2177.5
There might be two ways to go about this
(1) I am going to assume that we can construct a second (reference) triangle - and you confirmed that it is ok to use trigonometry on that, and then we use the relationship between areas of similar triangles to get what we want. I choose a triangle DEF with same angles, 15, 75, and 90 degrees, and the hypotenuse DE a of length 1 (that is a triangle similar to ABC). I use sin/cos to determine the side lengths: sin(15)=EF and cos(15)=DF and then compute the area(DEF) =EF*DF/2. This turns out to be 1/8 = 0.125.
Now one can use the area formula for similar triangles to figure out the area of ABC - this without trigonometry now: area(ABC)/area(DEF)=(12/1)^2
so area(ABC)=144*area(DEF)=144*0.125=18
(2) Construct the triangle ABC geometrically using compass, protractor, and a ruler. Draw a line segment AB of length 12. Using the compass draw a (Thales') semi-circle centered at the midpoint of AB with radius of 6. Then, using the protractor, draw a line at 75 degrees going from point B. The intersection with the semicircle will give you point C. Finally. draw a line from C to A, completing the triangle. Then, using ruler, measure the length BC and AC.
Calculate the area(ABC)=BC*CA/2, which should come out close to 18, if you drew precisely enough.
Answer:
The decibel range is
Step-by-step explanation:
Let
d -----> the decibel level of the music
we know that
The absolute value of the difference of the decibel level of the music and its average, must be less than or equal to 28 decibels
so
The absolute value that represent this problem is
Solve the absolute value
<em>First solution (positive)</em>
Adds 110 both sides
<em>Second solution (negative)</em>
Multiply by -1 both sides
Adds 110 both sides
therefore
The decibel range is
The numbers for the first eight beads that r white is 2 white beads. The rule of the pattern is 1,3,1,3,1,3 (its an A,B,A,B pattern) the rule is a b pattern
Answer:
f(-3)= 19
Step-by-step explanation:
you have to use substitution. Every time that you see an x, plug it in for a -3
f(x)= -5x+4
f(-3)= -5(-3)+4
f(-3)= 19