Answer:
the answer is c.
Step-by-step explanation:
there's no explanation
The answer is C. 3/5
20 girls, 3 boys. 23/40 is about 60 percent, or 3/5.
I wrote the wrong answer on accident for whatever reason when I first sent this, I apologize.
Answer:
I am pretty sure the answer would be A.
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
$41.16
Step-by-step explanation:
Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick
Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold
1 ft = 12 inches
Number of brick required = (35 * 12) ÷ 10
Number of bricks required = 42 bricks
Cost of brick required = Per length cost of brick * Number of bricks required
Cost of brick required = 0.98 * 42
Cost of brick required = $41.16
Ms. Fontanges would spend $41.16 on the purchase of bricks
