Answer:
Monica spent 0.55 hours listening to Brahms.
Step-by-step explanation:
We are given the following in the question:
Amount of time spent listening to tapes of Beethoven and Brahms =
Amount of time spent listening to Beethoven =
Total time spent listening to Brahms =
Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven
Thus, Monica spent listening to Brahms.
Angle AOC = 46° Find angle BPO
We have congruent right triangles PAO and PBO, right angles A and B.
So AOC=BOC=46 degrees,
PBO is a right angle so BPO is complementary to BOC, so 42 degrees
Answer: 42 degrees
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
Answer:
Step-by-step explanation:
Given
Required
Determine the line equation
This question will be answered using linear interpolation.
This is represented as thus:
Substitute values for x1,x2,y1 and y2
Cross Multiply
Make y the subject
Answer:
4.4N, 263.4°
Step-by-step explanation:
The sum of all forces must add to zero:
The forces in the x-plane:
∑F = 3N + (cos 120°)*5N + x = 0
x = -(3N + (cos 120°)*5N)
x = -0.5N
The forces in the y-plane:
∑F = (sin 120°)*5N + y = 0
y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N
The magnitude of the unknown force U is:
U = √(x² + y²) = √19 = 4.4N
The direction is given by:
tanФ = y/x
Ф = 263.4°