If you do the distance formula you get 13 as the answer.
Answer:
Given the ratio for dinosaur stamps to airplane stamp, the correct ratio is 18 : 12
Step-by-step explanation:
Dinosaur stamps = 18
Airplane stamps = 12
John wrote:
ratio of dinosaur stamps to airplane stamps = 12 to 18
Correct ratio:
ratio of dinosaur stamps to airplane stamps = 18 : 12
= 18/12
Answer:
15
Step-by-step explanation:
So, leets look at the graph.
We can see that the lines being solved for tecnically make up 180 degrees.
This is because the value of the angles on line m are equal to the value of the angles on line n.
So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.
Lets combine these two equations, and subtract them from 180 degrees to solve for x:
7x-1+6x-5
=
13x-15
Now to solve for x:
13x-15=180
Add 15 to both sides to get 13x alone:
13x=195
Then divide both sides by 13 to get x alone:
x=15
So our value of x is 15!
Hope this helps! :)
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.
We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm
This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm
tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm
WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm
Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
<h3>How to generate values from a recursive function</h3>
In this question we have a kind of <em>recursive</em> function known as Fibonacci's function, where a value of the series is generated from at least <em>immediately previous</em> elements. In this case, we need to find the <em>first</em> three elements from the <em>fifth</em> and <em>fourth</em> elements of the series:
a₄ = a₅ - a₆ + 4
a₄ = - 2 - 0 + 4
a₄ = 2
a₃ = a₄ - a₅ + 4
a₃ = 2 - (- 2) + 4
a₃ = 8
a₂ = a₃ - a₄ + 4
a₂ = 8 - 2 + 4
a₂ = 10
a₁ = a₂ - a₃ + 4
a₁ = 10 - 8 + 4
a₁ = 6
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
To learn more on recursive series: brainly.com/question/8972906
#SPJ1
