Answer: Here is your answer. Mark as brainlist please :)
No if I’m correct it should be 40 degrees
Answer:
Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
![SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}](https://tex.z-dn.net/?f=SA%3D2%5B%5Cfrac%7B1%7D%7B2%7D%2815%29%2815%29%5D%2B2%5B%2830%29%2815%29%5D%3D%201%2C125%5C%20ft%5E%7B2%7D)
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
Answer:
EF / LM = 1 / 4
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.
Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).
Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).
Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).
CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:
LM / EF = 4
EF / LM = 1 / 4
