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Verdich [7]
4 years ago
8

When a boy pulls his sled with a rope, the rope makes an angle of 70° with the horizontal. If a pull of 20 pounds on the rope is

needed to move the sled, what is the horizontal component force?
7 lb
19 lb
20 lb
24 lb
Mathematics
1 answer:
sergeinik [125]4 years ago
3 0

Answer:

The answer to your question is 7 lbs.

Step-by-step explanation:

Data

angle = 70°

force = 20 lb

horizontal component

Process

To solve this problem just imagine a right triangle, where the force is the hypotenuse and the horizontal component is the adjacent side.

1.- Look for a trigonometric function that relates the adjacent side and the hypotenuse.

                  cos Ф = adjacent side / hypotenuse

- Solve for the adjacent side

                  adjacent side = hypotenuse x cosФ

- Substitution

                  adjacent side = 20 x cos 70

- Simplification

                  adjacent side = 20 x 0.342

- Result

                  adjacent side = 6.84 ≈ 7 lb  

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O the<br> What is the x-coordinate of the point plotted below?
chubhunter [2.5K]

Answer:

The x coordinate is 2

Step-by-step explanation:

Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)

8 0
3 years ago
PLEASE HELP I WILL MARK BRAINLEIST
icang [17]

Answer:

25 mm

Step-by-step explanation:

Set up a proportion where x is the number of millimeters for 160 kilometers

\frac{5}{32} = \frac{x}{160}

Cross multiply and solve for x:

32x = 800

x = 25

So, 25 millimeters represent 160 kilometers

7 0
3 years ago
What is v?<br> -15V-40 = 23-8V
Andrew [12]

Answer:

V = -9

Step-by-step explanation:

-15V - 40 = 23 - 8V

The objective is to get V alone. To do this, first subtract -15V from both sides. Since -15V is a negative, subtracting it will be adding a positive.

-40 = 23 + 7V

Now that there is only one term with the variable V, subtract 23 from both sides.

-63 = 7V

Finally, divide both sides by 7 to get V completely isolated.

-9 = V.

The final answer is V = -9.

7 0
3 years ago
Read 2 more answers
Algebra 1 :
victus00 [196]

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

3 0
3 years ago
The relative growth rate for a certain type of mutual fund is 15% per year. An account is opened with a balance of $3,000. How m
wlad13 [49]

We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.  

In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.

A=P(1+r)^{t} ,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.

After substituting our given values in above formula we will get

A=3000(1+.15)^{5}

Now we will solve for A

A=3000(1+.15)^{5}=3000(1.15)^{5}\\ A=3000\cdot (2.011357187)=6034.07

Therefore, after 5 years mutual fund is worth $6034.07.


8 0
4 years ago
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