Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
2300 because since there are 23 boxes and 100 pencils in each box, you'd do 23*100 to get 2300pencils in the supply cabinet
Answer:
The basic differences between syllabus and curriculum are explained in the point given below: The syllabus is described as the summary of the topics covered or units to be taught in the particular subject. Curriculum refers to the overall content, taught in an educational system or a course.
Step-by-step explanation:
This is the link for more info https://keydifferences.com/difference-between-syllabus-and-curriculum.html
Answer:
C. The graph would shift five units to the left.
Step-by-step explanation:
y = x² + 5x - 2
We can write this equation in the form
y = a(x - h)² + k
If you change the value of h, you are translating the parabola horizontally.
If you increase h by five units, the graph shifts five units to the left.
In the figure below, the red parabola represents the original equation.
The blue parabola shows the graph shifting five units to the left
(from x = -2.5 to x = -7.5) when you replace x by x + 5.
Answer:
C. The graph would shift 5 units to the left
Step-by-step explanation:
If (x+5) was substituted in the place of x then it would shift 5 units to the left
Answer is C.
Volume of the solid of revolution is 127.47 cubic units
An isosceles triangle is a triangle that has two sides of equal length.
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
A solid of revolution is a solid figure obtained by rotating a plane curve around some straight line that lies on the same plane
Angles of the given isosceles triangle = 30-30-120 triangle
Length of the leg = 4 units
Length of the Third side c =
Where a and b are the length of the leg and C is the vertex angle
Then,
Length of the third side c=
It is rotated around an axis that contains one leg
Draw the figure,
From the figure we can say that we have to subtract the volume of the big cone from the volume of the small cone to find the required volume of the cone
Volume of big cone =
where, r is the radius and l is the slant length
r = unit
l= unit
Volume of the big cone = =301.59 cubic unit
Volume of small cone =
r = unit
l= 4 unit
Volume of the small cone = =174.12 cubic unit
Volume of required region = Volume of big cone - Volume of small cone
=301.59 - 174.12
=127.47 cubic unit
Hence, volume of the solid of revolution is 127.47 cubic unit
Learn more about Isosceles triangle, Volume and Solid of revolution here
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