Answer:
x = 3.46 units
Step-by-step explanation:
Given:
angle RQS = 60
QS = 2 units
PS = 8 units
To Find:
RS = x = ?
Solution:
In triangle QRS,
tan angle Q = RS / QS
tan 60 = x / 2
root 3 = x / 2
x = 2 root 3
x = 2 x 1.73
Therefore, x = 3.46 units
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Answer:
-14
Step-by-step explanation:
substitute 4 for x
28(4) - 9 (2(4)+ 6)
multiply
112-9(8+6)
add numbers
112-9(14)
multiply
112-126
subtract
-14
Answer:
66.4 in^2
Step-by-step explanation:
Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:
16 + 50.4 = 66.4
Answer:
The area is 452cm
Step-by-step explanation:
For the big square we have to multiply 15*18 and that is the area so-
15*18=270
Next we multiply 13 and 14
13*14=182
And now we add 270 and 182 to get the total area
270+182=452
Answer:
Additive notation is a convention often used for representing a commutative binary operation of an algebraic structure. The symbol used for the operation is +.
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