Answer:
A. 1/3
Step-by-step explanation:
6/18 = 0.3333333333333333333
so in fraction it is 1/3
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:
Total material needed = 9.5 square feet
Step-by-step explanation:
Dimensions of I = 2. 5feet x 1 feet
Area = 2.5 square feet
Dimensions of S :
Top part = 1 feet x 1 feet
Area of top part = 1 square feet
Bottom part = 1 feet x 2.5 feet
Area of bottom part = 2.5 square feet
Total Area of S = 2.5 + 1 = 3.5 square feet
Total material needed = Area of I + Area of S + Area of S
= 2.5 + 3.5 + 3.5
= 9.5 square feet.
Hello!
173 + 32 = 205
5 * 205 = 1025
Answer:
52 units squared
Step-by-step explanation:
