Kate is 3 years old
Explanation:
Kate is x for example, then her father would be
x+32
In five years he would be x+32+5, x+37, but he would also be 5 times older.
Kate will also be x+5.
SO, we know that
x+37=5 · (x+5)
When we simplify, we get
x+37 = 5x+25
Simplify further, you get
12=4x, so
3=x
Kate is 3 years old currently
24 feet is equal to 8 yards
For x= -1, find -1 on the x axis and draw a vertical line. For y=6, look for 6 on the y axis and draw a horizontal line.
The depth of the water at the <em>deepest</em> point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
<h3>How to determine the depth of the water in a waterslide</h3>
In this question we should apply the concepts of <em>right</em> triangles and <em>trigonometric</em> functions to determine the height of the water within the waterslide. A geometric diagram of the <em>cross</em> section of the waterslide is presented below, which indicates the existence of <em>circular</em> symmetry.
Now we proceed to determine the height of the water:
cos α = (0.5 m/0.75 m)
α ≈ 48.190°
y = (0.75 m) · sin 48.190°
y = 0.559 m
x = 0.75 m - 0.559 m
x = 0.191 m
The depth of the water at the <em>deepest</em> point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
To learn more on trigonometry: brainly.com/question/22698523
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Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc EH
Remember that the measure of the complete circle is equal to 360 degrees
so
Remember that
----> by central angle
----> by central angle
---> by central angle
substitute the given values
step 2
Which arc is congruent to Arc E H?
we know that
therefore
arc EH is congruent with arc EFG
or
arc EH is congruent with minor arc GE