If you are looking for the sales tax then you take 89.75 times .075 this will give you 6.73 now you just add 6.73 to 89.75 and you get..
sales tax = $96.48
but if you are looking for the %off you are going to do 89.75 minus 6.73 and you will get....
%off= $83.02
Answer:
The side c needs to be 12.85 for the triangle to have greatest perimeter
Step-by-step explanation:
We are given;
b = 13
a = 15
Angle at b: B = 55°
Let's find side c.
Using the law of cosines,we have;
b² = a² + c² - 2ac•cos(B)
13² = 15² + c² - 2•15•c•cos(55)
169 = 225 + c² - 30c•cos(55)
c² - 30c•cos(55) + 225 - 169 = 0
c² - 30c•cos(55) + 56 = 0
c² - 30c•(0.5736) + 56 = 0
c² - 30c•(0.5736) + 56 = 0
c² - 17.208c + 56 = 0
Using quadratic formula;
c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)
c = [17.208 ± √(296.115 - 224)]/2
c = 8.604 ± 4.246
To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;
Thus,
c = 8.604 + 4.246 = 12.85
Answer:
A
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Problem is, we don't know the height, only the slant length. But we can use this to find the height.
If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.
If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.
Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.
c² = a² + b²
37² = 12² + h²
h = 35
Now we can find the volume. h = 35, w = 24, and l = 24:
V = ⅓ h wl
V = ⅓ (35) (24) (24)
V = 6720
So the volume is 6720 ft³, or answer A.
Y= 3x - 20 is an equation parallel to y=3x-3 and passes through (6,-2).
You answered correctly.
(a brainliest would be appreciated)
