Answer:
n^2 = n + 30
n^2 -n -30 = 0
Solving by quadratic formula
numbers equal 6 AND -5
DOUBLE -CHECK
6^2 -6 -30 = 0
36 -6 - 30 = 0 CORRECT
-5^2 - -5 -30 = 0
25 +5 -30 = 0 CORRECT
Two numbers 6 and -5
Step-by-step explanation:
Dilation is the process in which the dimensions of a given shape is increased or decreased by a scale factor. Therefore the answers to the questions are:
A. Since the dilation of triangle XYZ do not affect the measure of its internal angles, then the trigonometric ratios of respective internal angles are the same.
B. segment CB = 10
ii. segment AB = 11.18
From the given information in the question, triangle XYZ is an image of triangle ACB. In triangle XYZ, given that Sin X = ; it implies that its hypotenuse is 5.59, and the opposite side as 5. So that;
Sin X =
X = 0.8945
X =
Thus,
<X + <Y + <Z =
+ + <Z =
<Z = -
=
<Z =
So then, the third side can be determined by applying the Pythagoras theorem.
= +
= +
= -
= 6.2481
x =
= 2.49962
x = 2.5
Thus,
Cos X =
=
Cos X =
Tan X =
=
Tan X =
Therefore:
A. Considering triangles XYZ and ACB, the measure of their respective internal angles are the same.
i.e <X ≅ <A
<B ≅ <Z
<C ≅ <Y
So that the trigonometric ratios of respective internal angles are the same.
B. Given that triangle XYZ was dilated by a scale factor of 2, then the respective length of each sides of triangle ACB is twice that of XYZ.
Then,
i. segment CB = 2 x segment YZ
= 2 x 5
segment CB = 10
ii. segment AB = 2 x segment XZ
= 2 x 5.59
segment AB = 11.18
Exponent form : 6^5
explanation :
we are given five 6's , so we simply start out with the number that is being multiplied over and over again .
which in this case , is 6.
6 • 6 • 6 • 6 • 6 = 7776
To make things easier though, we write repetitive numerals in exponent form. You will still get the same answer either way .
6^5 = 7776
answer : 6^5
Sqrt24 / sqrt12 = sqrt(24/12) = sqrt 2
Ok so the base length is 8, the height is 2.72.
So 1/2 * 8 *2.72 should get u the answer.
