Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
View the absolute value of a number as its distance from zero. When you
take the absolute value of a number, you always end up with a positive
number (or zero). Whether the input was positive or negative (or zero),
the output is always positive (or zero).
Hope it helped
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
Answer:
C. H(x) = 2x+6
Step-by-step explanation:
Volume of the cylindrical silo = Area of its circular base × Height
Volume of the cylindrical silo = πr²×H
If the area of the circular base of the silo is given by the function A(x), the volume is given by C(x) and the height is given by H(x), the formula can be expressed as;
C(x) = A(x) × H(x)
The height of the cylindrical silo will be;
H(x) = C(x)/A(x)
Given C(x) = 6.28x³ + 18.84x² and
A(x) = 3.14x²
H(x) = 6.28x³ + 18.84x²/3.14x²
H(x) = x²(6.28x+18.84)/3.14x²
H(x) = (6.28x+18.84)/3.14
H(x) = 3.14(2x+6)/3.14
H(x) = 2x+6
Hence, the function, H(x) that represents the height of the silo is 2x+6.
Answer:
There are 10 cards in total.
The probability of choosing card with the number 4 is 1/10.
The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)
