Problem 10
<h3>Answer: approximately 57.39159 km</h3>
Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
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Problem 11
<h3>Answer: approximately 10.46162 meters </h3>
Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
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Problem 12
<h3>Answer: approximately 16.05724 cm</h3>
Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
Answer:
x = 11/2 = 5.5
Step-by-step explanation:
2x-6 = 5
2x = 11
x = 11/2 = 5.5
Answer:
Option 4: (x+1)^2+(y-1)^2 = 16
Step-by-step explanation:
The radius of the given circle in attached picture is: 4 units
The center is denoted by (h,k) = (-1,1)
So,
The standard form of equation with center at (h,k) and radius r
(x-h)^2 + (y-k)^2 = r^2
Putting the values
(x-(-1))^2 + (y-1)^2 = 4^2
(x+1)^2+(y-1)^2 = 16
Hence option number 4 is correct ..
−
x^
2
+
10
x
+
7 so the answer is B.
hope it helps
Answer:
The answer would be B, or the second option.
Step-by-step explanation:
To find the volume, you must multiply the length, width, and height of the object. (Length x Width x Height)
<em>l × w × h</em>
Replace each of the following variables with the length of each side. In this case, they are all 3, but remember that it doesn't matter in which order you put them in.
3 × 3 × 3.
Now multiply!
3 × 3 × 3 = 27 cubic feet.
Meaning, the final answer would be B.
