Answer:
D, see description below.
There is a possible typo in the problem since these points have slope 25/23.
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:
Here the points are (-4,-14) and (19,11). Substitute and simplify.
I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.
Answer:
35 1/12 gallons of gasoline
Step-by-step explanation:
so what you're going to do is take both of the fractions (3/4 and 1/3) and convert them into two fractions with the same denominator so you can add them easily. the closest number that you can convert them to would be a denominator of 12, so we would turn 3/4 into its equivalent of 9/12 and 1/3 would now be 4/12. now we add them and get 13/12, which is an improper fraction, so we would change that to 1 and 1/12. and finally, we add 1 1/12 + 1 + 33 and we would get 35 and 1/12 as our final answer :)
Answer:20 yards
Step-by-step explanation:
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:x=10/3
Step-by-step explanation:
