Answer:
42
Step-by-step explanation:
ABC + CBD = ABD
3x+33 + 5x+13 = 70
Combine like terms
8x +46 = 70
Subtract 46 from each side
8x+46-46 = 70-46
8x = 24
Divide each side by 8
8x/8 = 24/8
x=3
We want to find ABC
ABC = 3x+33 = 3*3 +33 = 9+33 = 42
The area of each triangular face is
.. A = (1/2)*b*h
.. Aside = (1/2)*(6 cm)*(5 cm) = 15 cm^2
The area of the triangular base is
.. Abase = ((√3)/4)*s^2 = (√3)/4*(6 cm)^2 = 9√3 cm^2
The total surface area is the base area plus the area of the three sides.
.. Atotal = Abase + 3*Aside
.. = 9√3 cm^2 +3*15 cm^2
.. = (45 +9√3) cm^2
.. ≈ 60.6 cm^2
Actually, there's an error in the picture. The height of the side should be 4, and the length of the edge should be 5. Making that adjustment, the total area is 51.6 cm^2.
It is hard to tell what is intended. Not all answers are showing, so we can't "reverse-engineer" the problem from the answers.
Step-by-step explanation:
24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you
Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;

The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
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Answer: 
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Given: 
Find: 
Solution: In order to solve for x we need to isolate it with the first step being to subtract 1 from both sides and then we would divide both sides by 3 to give us the solution.
<u>Subtract 1 from both sides</u>
<u>Divide both sides by 3</u>
Therefore, the final answer would be that x is equal to -1/3.