ANSWER
EXPLANATION
A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.
B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.
The third rectangular face has a length of 15 cm and a width of 4 cm.
C) The surface area of the prism is the sum of the areas of the faces of the prism.
The area of a triangle is given as:
where b = base, h = height
The area of a rectangle is given as:
where l = length, w = width
Therefore, the surface area of the prism is:
The answer is 2.
This is because the line crosses the x axis in 2 different places.
Hope this helps!
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
Answer:
4:3
Step-by-step explanation:
The computation of the ratio of females to males is shown below
Since it is mentioned that there is 28 students in the class out of which 12 are boys
So, the females are
= 28 - 12
= 16
SO, the ratio of females to males is
16:12
4:3
Answer: 6+4x=26, 4x=20
Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.
If you solve the equation, 2x+3=13 (subtract 3 from both sides)
2x=10 (divide both sides by 2)
x equals 5.
if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.
