Answer:
see below
Step-by-step explanation:
We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.
You can read the overall length of the shaded area as 5/4, from the markings.
For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.
So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...
Answer:
Real number
Step-by-step explanation:
Those are the Real numbers.
Real numbers (R) are the conjoint of Rational Numbers (Q) - those than can be written as a fraction, e.g., 4/3, 80/456, etc. - and Irrational Numbers (I) - those that CAN'T be represented by a fraction, e.g., pi number.
So R = Q ∪ I
(-∞,-2) and [2,5) will be the correct representation of the given number line.
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given a number line with arrows.
If a number is included then it is given in the middle bracket [ ] while if it is not included then it is given in the small bracket ().
Since in the given number line,
The line is coming through -∞ and at 2 not up to
So,
(-∞,-2) will be correct.
Now,
The right-hand sideline is going from 2 to 5(not included)
So,
[2,5) will be correct.
Hence "(-∞,-2) and [2,5) will be the correct representation of the given number line".
For more details about the range and domain of the function,
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Answer:
Option 3
Step-by-step explanation:
-infinity < x< -2 , 5 > x ≥ 2
Round bracket for boundary excluded, and square bracket for boundary included
(-infinity, -2) or [2,5)
Answer with explanation:
Base of Pyramid which is in the shape of square ,having length of each side =40 inches
Height of pyramid = 21 inches
Slant height = 29 inches
Surface area of Square Pyramid
= Area of four Triangular faces +Area of Square base
Relation between Slant height (S), Length of base (B) and Height (H) of pyramid
So,this is a Square pyramid.
Surface area of Pyramid
square inches
Volume of Pyramid
cubic inches
Answer:
sin α = =
cos α = =
tan α = =
cot α = =
sec α = =
csc α = =
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r =
Here it is: = =
So we have:
x = 3
y = 1
r =
Now we can calculate all 6 trig, functions:
sin α = =
cos α = =
tan α = =
cot α = =
sec α = =
csc α = =
The question involves calculating the six trigonometric functions (Sin, Cos, Tan, Csc, Sec, Cot) for an angle in standard position with its terminal side passing through point (3,1). We find opposite and adjacent sides from the point's coordinates, the hypotenuse from Pythagoras' theorem, and calculate each ratio accordingly.
In the context of the problem, the point (3,1) specifies the terminal side of angle θ in standard position. This point is effectively the definition of your right triangle's opposite (y) and adjacent (x) sides in the trigonometric calculation, with the hypotenuse (h) obtained from Pythagoras' Theorem (h² = y² + x²). In this case, we get h = sqrt(3² + 1²) = sqrt(10).
The six trigonometric functions are defined as follows for this scenario:
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