Answer:
There could be many answers to this problem, one being the √(24 x 5 - 8)
Step-by-step explanation:
Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals. This means that the number will be a decimal that never ends and does not contain a pattern of any kind. For example, a decimal that never ends is usually written as: 5.6789234... This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112. The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.
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.
</span>
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:
you will solve the word problem by subtracting how much she spent to how much she owes. Then you get 250-112.49 = $137.51
Step-by-step explanation:
please mark me brainlyest.
Answer:
2.003561 ounces or 2.0 rounded
Step-by-step explanation:
