ANSWER
The irrational numbers are
and
EXPLANATION
The irrational numbers are the square root of the non perfect squares.
In oder words, the irrational numbers are the ones, whose square root are not exact.
So we must first simplify the radicals and choose the ones whose values are not exact.
This is an exact value, so it is rational.
This is irrational because the radicand, 2, is a non perfect square.
is also irrational because 10 is a non perfect square.
is also irrational because 15 is a non perfect square.
is rational because 36 is a perfect square.
Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
<u>Answer</u>: Hence, value of x is 20 units.
<u>Additional comment:</u>
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
Please let me know if you have other questions.
The first option would be the correct answer because you have the outer angle at 121 degrees and a straight angle adds up to 180 degrees so 121 - 180 = 59. Now you have the original angle on the inside which is 47 degrees and you add 47 + 59 and you get 106. Since this shape is a triangle you would do 180 - 106 to get your last angle which would be 74. Hope this helps!
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
(4,3) Down 3 from 6 on y-axis and left 2 on x-axis.