Answer:
see below
Step-by-step explanation:
alaikum salam.
<u>2. </u><u>find</u><u> </u><u>cos Ф, sin Ф, tan Ф</u>
cos Ф = 5 / 13
Ф = 67.38
sin Ф = 12 / 13
Ф = 67.38
tan Ф = 12 / 5
Ф = 67.38
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<u>3. find sin β, cos β, tan β</u>
sin <u>β</u> = 4 / 5
<u>β</u> = 53.13
cos <u>β</u> = 3 / 5
<u>β</u> = 53.13
tan <u>β</u> = 4 / 3
<u>β</u> = 53.13
Answer:
134.375 or 134 3/8 square feet is the area of the rug
Step-by-step explanation:
In this question, we learnt someone bought rug measuring some lengths per sides were asked to help calculate the area of the rug.
Firstly, we can see that the lengths of the two sides differ? We can thus conclude that the rug is rectangular in shape.
Hence, to calculate the area of this rug, what we do is to calculate the area of the rectangle formed by the rug.
Mathematically, the area of the rug would be = l * b
According to the question, we can identify that l = 10.75 feet(3/4 = 0.75) while the b = 12.5 feet(1/2 = 0.5 feet)
Hence the area of the rug A is thus; 10.75 * 12.5 = 134.375 sq. Feet ( 0.375 = 3/8 so we can say 134 3/8 feet)
Answer: C. 150 km²
<u>Step-by-step explanation:</u>
Use similar triangle proportion to find x:

Answer:
x=61
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
37+82+x = 180
Combine like terms
119 +x = 180
Subtract 119 from each side
119-119 +x= 180-119
x = 61
Answer: y = 4
Step-by-step explanation:
To solve, we will isolate the y variable.
Given:
4(y + 4) = 32
Distribute the 4 with multiplication:
4y + 16 = 32
Subtract 16 from both sides of the equation:
4y = 16
Divide both sides of the equation by 4:
y = 4