Answer:
p = z / (x+y)
Step-by-step explanation:
хр + ур = z (factorize p on the left side)
p(x+y) = z (divide both sides by (x+y) )
p = z / (x+y)
Answer:
∠C = 106.7°, ∠D = 73.3°, CD = 104.4
Step-by-step explanation:
As shown in the diagram attached, let a point E be made on line BD.
Hence, BE = 130 m
BE + ED = BD
ED = BD - BE
ED = 160 m - 130 m = 30 m
Also, CE = 100 m
Using Pythagoras theorem in triangle CDE:
CD² = CE² + ED²
CD² = 100² + 30²
CD² = 10000 + 900 = 10900
CD = √10900
CD = 104.4
Using sine rule in triangle CDE:
In trapezoid ABCD, the sum of angles in a quadralateral is 360°, hence:
∠A + ∠B + ∠C + ∠D = 360
90 + 90 + ∠C + 73.3 = 360
∠C + 253.3 = 360
∠C = 360 - 253.3
∠C = 106.7
<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 pages per hour
Step-by-step explanation: