X>-6 is what i believe the answer is.
hope this helps!
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:
h = 33 hours
Step-by-step explanation:
Given that,
Addison worked 6 more hours this week than last week. In total, she worked 72 hours this week and last week.
The equation is :
2h + 6 = 72
We need to find the number of hours
2h = 72 - 6
2h = 66
h = 33
Hence, Adison worked for 33 hours last week.
1, ___, ____, _____, _____, _____, ____, 29
29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29
Answer:
5/12
Step-by-step explanation:
Assuming the each number is equally likely
1,2,3,4,5,6,7,8,9,10,11,12
There are 12 numbers on the spinner
Number less than or equal to 5: 1,2,3,4,5
There are 5 choices
P ( # < = 5) = Number less than or equal to 5/ total
=5/12
