Answer:
13, 19, 73, 89
Step-by-step explanation:
Prime numbers only have two factors, 1 and itself.
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
If 12 balls fit in 2 boxes, 6 balls fit in 1 box. 78 / 6 = 13. 78 balls fit in 13 boxes. x = 13.
The width is 4x + 4
(4x)(2x) = 8x
(-3)(4) = 12
hope that helps
Answer:
27.3 yards
Step-by-step explanation:
Since this triangle is a right triangle, this can be solved using the equation:
a^2 + b^2 = c^2
c^2 is the side opposite to the right angle (37)
So, you need to change the equation to where it is set equal to b^2.
Subtract a^2 on both sides.
b^2 = c^2 - a^2
Now, plug in the numbers you have.
b^2 = 37^2 - 25^2
Simplify.
b^2 = 1369 - 625
b^2 = 744
Now, to find b, take the square root of 744.
√744 = 27.3
