Answer:
scalene
Step-by-step explanation:
step 1
Find the value of y
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
In this problem
m∠A+m∠B+m∠C=180°
substitute the given values
Solve for y
step 2
<em>Find the measure of angle B</em>
m∠B=(y+40)°
substitute the value of y
m∠B=(15+40)=55°
step 3
<em>Find the measure of angle C</em>
m∠C=(3y-10)°
substitute the value of y
m∠C=(3(15)-10)=35°
The three interior angles are different
so
The three sides of the ABC triangle will also be different
therefore
The right triangle ABC is scalene
Answer:
(2,-5)
Step-by-step explanation:
The given function are
r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>
(w*r)(x) = -x³ + 2x² + 2x - 4</span>
<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>
As shown in the graph the range of <span>
(w*r)(x) is (-∞,∞)</span>
Answer:
Step-by-step explanation:
We are given the equation 
. To find y-value when or at x = 3, simply substitute x = 3 in which gives us 
then evaluate the value as we obtain the y-value or final answer to the question:
If you have any questions about this question or for clarification, do not hesitate to ask in comment!
Answer:
Step-by-step explanation:
area=πr^2
so we need to find the area then divide by 8
so
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
