Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
Answer:
x = 6 cm
Step-by-step explanation:
The area is the product of length (x +2) and width (2x -5). It is 56 cm², so for all dimensions in cm, we can write ...
(x +2)(2x -5) = 56
2x² -x -66 = 0 . . . . . subtract 56 to put into standard form
(x -6)(2x +11) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = 6, x = -11/2
The negative solution is extraneous, so the solution of interest is ...
x = 6 cm
Answer:
P=4.1
Step-by-step explanation:
Open the parenthesis on LHS.
7p-63=-34.3
Now isolate the variable.
7p=-34.3+63
7p=28.7
Simply Divide.
p=4.1
Answer:
Step-by-step explanation:
9. (-2, 2) (4, 3)
(3 - 2)/(4 + 2) = 1/6
10. (-2, 2) (3, 4)
(4 - 2)/(3 + 2) = 2/5
11. (3 - 13)/(0 + 16)= -10/16= -5/8
12. (-19 - 0)/(7 + 12) = -19/19= -1
Answer:
Exact length = 2*sqrt(137) cm
Approximate length = 23.409 cm
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Work Shown:
Use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + 22^2 = c^2
64 + 484 = c^2
548 = c^2
c^2 = 548
c = sqrt(548)
c = sqrt(4*137)
c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)
c = 2*sqrt(137) .... this is the exact length
c = 23.4093998214392 ... use your calculator to find the approximate length
c = 23.409
I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.
