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:
z=t and y = 4y -- 6 for any t?
2 times the amount that the army is to the basket ball hoop
Answer:
1. 24 km/hour
2. 48 km
Step-by-step explanation:
1 mile = 1.6 km
cyclist = 15 miles/ hour
we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.
this is because
miles * km / miles = km as the miles cancel out and km is left in the numerator
thus,
1 mile = 1.6 km
divide both sides by 1.6 km to get 1 on a side
1 mile / 1.6 km = 1
alternatively, divide both sides by 1 mile to get 1 on a side
1.6 km / 1 mile = 1
since we want miles on the bottom, we choose the second option
cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour
24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km
Answer:
2j+1
Step-by-step explanation:
Circle the first symbol in front of the j's and 1's
