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2 years ago

Write the ratio for the trig function indicated.

Mathematics

1 answer:

Iteru [2.4K]2 years ago

4 0

Answer:

cos(θ) = 3/4

Step-by-step explanation:

Since cos=adj/hyp, the Hypotenous is 24, and the adjacent is 18. We write cos(θ)=18/24, which can be simplified to cos(θ)=3/4.

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Three consecutive integers add up to -6. the integers are

alina1380 [7]

Answer:

-3, -2, -1

Step-by-step explanation:

you need to form an equation. We know that the integers are consecutive (meaning that they only have a difference of 1) so we could make an equation. x+(x+1)+(x+2)=-6. we solve the equation to get x=-3. We now know all the other numbers as well. -3+1=-2, -2+1=-2. The numbers are :-3, -2, -1

6 0

2 years ago

A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th

alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

$\frac{\sum x+9}{n}=81\\\\\sum x+9=81n$

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

$\frac{\sum x-3}{n}=78\\\\\sum x-3=78n$

So, from equation (1) and (2) we get:

$81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4$

Hence, there are 4 students in the group.

8 0

3 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, 2); m = 2/3

77julia77 [94]

Answer:

$y - 2 = \frac{2}{3}(x-3)$

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Slope: $\frac{2}{3}$

Point: (3, 2) = (x1, y1)

To write the equation in point-slope form, we need to know the values of the slope and one point. Since we've already been given those values, all we have to do is input them into the equation:

y - y1 = m(x - x1)

$y - 2 = \frac{2}{3}(x-3)$

The equation in point-slope form is: $y - 2 = \frac{2}{3}(x-3)$

4 0

2 years ago

In 2014, the population of Hong Kong was estimated to be approximately 7,112,688 people. The city covers an area of approximatel

ratelena [41]

We know that

Population density<span> is a measurement of population per unit area
</span>[population density]=population/area-----><span>7,112,688/426.25----> 16686.66
16686.66----------> 16687 person/square mile

the answer is
</span>16687 person/square mile

8 0

3 years ago

What is the slope of a line containing the points (12, 6) and (3, -5)?

Gelneren [198K]

answer:

9/11

Step-by-step explanation:

(12-3)/(6-(-5))=9/11

7 0

2 years ago