A and C are the correct answers
Answer:
Sarah is 22
Step-by-step explanation:
64 times 4 =44
44 divided by 2= 22
Answer:
B
Step-by-step explanation:
Supplementary angles sum to 180°
If one angle is 77°, then the other angle is
180° - 77° = 103° → B
9514 1404 393
Answer:
x = -1
Step-by-step explanation:
A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.
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Squaring both sides gives ...
x +5 = (x +3)² = x² +6x +9
Putting this in standard form, we have ...
x² +5x +4 = 0
(x +1)(x +4) = 0 . . . . . factor
x = -1 or -4 . . . . . . . . values of x that make the factors zero
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Since we require the root to be non-negative, we must have ...
x +3 ≥ 0
x ≥ -3
The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.
The first part is to find the length SQ which is equal to SP.
Use the sine rule.
SQ/sin 65 = (SQ - 1)/Sin50
(sin50)/(sin 65) = (SQ-1)/SQ
0.8452(SQ) = SQ-1
0.1547SQ = 1
SQ = 6.46
The formula to apply here is:
Area=1/2(SQ)(SQ)sin50
= 0.5 × 6.46 × 6.46 × sin50
= 15.984