What is the surface area of this triangular prism
Answers
140 square centimeters
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Wats the 60% off a prize that is $20.00
A a = b + 4 a = b – 1
B a = 4b a = b + 1
C b = a + 4 b = a – 1
D b = 4a b = a + 1
Answers
Answers
For the first one, you would have to subtract 5 from 8 which would give you x=3!! that is your answer. For the second one, you would have to subtract 3 from -6 which would give you -a=-9, but were not done here yet, we are going to multiply this by -1 because you can't have a negative variable which will give you a=9. And last but not least, on the third one, you would have to subtract 21 from 30 which will give you c=9. There is no specific formula to do these problems other than to get rid of the "third wheel number".
4y - 2z = -15
x = 2, y = -2, z = 4; (2, -2,4)
Is (2,-2,4) a solution of the system of equations? Yes or no?
Answers
f(x) = 4(3)−x
b
f(x) = 3(4)−x
c
f(x) = 3(4)x
d
f(x) = 4(3)x
Answers
Answer:
The function through which given point passes is f(x) = 24 x - 12 .
Step-by-step explanation:
Given as :
The points are
,
= 1 , 12
,
= 2 , 36
now, slope of the line
Let The slope of line = m =
Or, m =
Or, m = 24
So The slope of line = m = 24
Now, equation of line in point-slope form
y - = m × (x -
)
Or, y - 12 = 24 × (x - 1 )
or, y - 12 = 24 x - 24
or, y = 24 x - 24 + 12
or, y = 24 x - 12
or , f(x) = 24 x - 12
So, The function through which given point passes is f(x) = 24 x - 12 . Answer
Answers
Answers
(a) Triangles ABC and ABD are equilateral triangles, so have internal angles of 60°. The angle CBD is the sum of the measures of angles CBA and ABD, both of which are 60°.
angle CBD measures 120° = 2π/3 radians
(b) The area of the left shaded area is the area of circle A minus twice the area of circular segment CBD. The area of a circular segment that subtends an arc of α radians is
... A = (1/2)r²(α - sin(α))
Then the area of the left shaded area is
... (area of circle) - 2 × (area of segment)
... = π·r² - r²(2π/3 - sin(2π/3)) = r²(π/3 + sin(2π/3))
For a radius of 6 cm, the area of the left shaded area is
... (6 cm)²(π/3 + (√3)/2) ≈ 68.876 cm²
Then the area of both shaded areas is
... shaded area ≈ 2 × 68.876 cm² ≈ 137.752 cm²
_____
(If you erroneously use the 3-digit value 3.14 for π, then you will get the erroneous 4-digit number 137.7 cm² for the shaded area. The number of significant digits in your value of π should be at least the number of significant digits you want in your answer. For the correct 4-digit answer 137.8 cm², you should use at least a 4-digit value for π, such as 3.142.)