The total means add so,
42 + 75 + 189 + 301 + 728 = 1,335
Answer is C.
The value of the unknown length is 24
<h3>How to determine the
unknown length?</h3>
Represent the unknown length with x.
So, we have the following equivalent ratio:
30 : 30 + x = 25 : 45
Express as fraction
30/30 + x = 25/45
Simplify the fraction
30/30 + x = 5/9
Cross multiply
150 + 5x = 270
Evaluate the like terms
5x = 120
Divide by 5
x = 24
Hence, the value of the unknown length is 24
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Answer:
Option C is correct, i.e. 2x² +7x -4.
Step-by-step explanation:
Given is (2x-1)(x+4)
Applying FOIL method:-
F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.
So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4
(2x-1)(x+4) = 2x² +8x -1x -4
(2x-1)(x+4) = 2x² +7x -4
Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.
<h3>
Answer: 0.5</h3>
========================================================
Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
9514 1404 393
Answer:
107°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
X = 180° -Q
X = 180° -73° = 107°
