Answer:
106,000
Step-by-step explanation:
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
Yes; the compass was kept at the same width to create the arcs for points C and D.
Step-by-step explanation:
When bisecting a segment by hand the steps are:
-Place the compass on one of the endpoints and open the compass to a distance more than halfway across the segment.
-Swing an arc on either side of the segment.
-Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.
-Mark the intersection points of the arcs and draw a line through those two points.
-The point where this new line crosses the given segment is the midpoint and divides the segment in half.
Its not b because segment c and d was created when you marked the intersection points of the arcs and just drew a line through those two points; They didn't use a straightedge. its not C because this does demonstrate how to bisect a segment by hand, Also the compass was kept at the same width to create the arcs for points C and D. Its not D because this does demonstrate how to bisect a segment by hand, Also a straightedge was not used to create segment CD.
Answer:
The answers would be as follows:
1. d
2. a
3. a
Step-by-step explanation:
To find the combined terms, focus only on the terms that have the same variable value. See the examples below.
1.
7 + 19t - 6t
7 + (19t - 6t)
7 + 13t
2.
5/6x - 2/3x
(5/6x - 2/3x)
1/6x
3.
8 + 16r - 9r
8 + (16r - 9r)
8 + 7r
