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Mamont248 [21]
4 years ago
10

For the expression 6 − y + 3, determine the coefficient for the variable term.

Mathematics
2 answers:
sergij07 [2.7K]4 years ago
5 0

<span>6 − y + 3 

-y = (-1) (y)

so answer is </span><span>−1</span>
TiliK225 [7]4 years ago
3 0

Answer:

the correct answer is -1

Step-by-step explanation:

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Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
Gas mileage is the number of miles you can drive on one gallon of gas. a test of a new car results in 450 miles on 10 gallons of
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A.
miles per gallon
given
450 miles on 10 gallons
450/10=45/1=45mi/1gal
45mpg

the milage is 45 miles per gallon



b.
60 gallons?
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can travel 2700 miles with 45 gallons
6 0
4 years ago
Help please i need some help
laiz [17]
#1: -13

#2: 169

#3: 56.333...

hope this helps xoxo
4 0
3 years ago
Find the area of a rectangle that has a length of 4ab^2 and a width of 6a^2b
Dovator [93]

Answer:

Step-by-step explanation:

∵A= l×b

⇒A= 4ab^2 × 6a^2b

⇒A= 24a^2b+1×b^2

Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.

I hope this helped.

7 0
3 years ago
2. la-il=V37<br> (in the third quadrant)
inna [77]

Answer:

Quadrantal angle is the angle in which its standard position with terminal side of the angle lies on x-axis or y-axis. The few quadrantal angles are and 360° (=2π ). Trigonometric functions of quadrantal angle is depicted in the below figure.

Step-by-step explanation:

4 0
3 years ago
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