I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb

Answers

Answer 1

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation


Related Questions

!PLEASE ANSWER ASAP! THANK YOU!

if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.

round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.

Answers

Answer:

Step-by-step explanation:

I'm ASSUMING you want to find n where g(n) = 8

g(n) = a/n

g(4) = 9 = a/4

          a = 36

g(n) = 8 = 36/n

         n = 36/8 = 4.5

Every week Jim runs 8 miles and bikes 12 miles. Write an ordered pair to represent how many miles Jim runs and bikes in 5 weeks. Use the drop-down menus to complete the sentence. Jim runs Choose... miles and bikes Choose... miles in 5 weeks. The ordered pair would be Choose... .

Answers

The ordered pair to represent how many miles Jim runs and bikes in 5 weeks is (3.33, 5)

Writing an ordered pair to represent how many miles Jim runs and bikes in 5 weeks.

From the question, we have the following parameters that can be used in our computation:

Every week Jim runs 8 miles and bikes 12 miles.

This means that we have the ratio

Run : Bike = 8 miles : 12 miles

When he bikes for 5 weeks, we have

Run : 5 weeks = 8 miles : 12 miles

This gives

Run/5 weeks = 8/12

So, we have

Run = 5 weeks * 8/12

Evaluate the products

Run =  3.33 weeks

Hence, the number of weeks is 3.33 and the ordered pair is (3.33, 5)


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If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

Answers

Answer:

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically

I’ll give u the crown
Ms. Goitia went to 6 Nationals games in 27 days. How many games will she go to in 162 days?

Answers

Answer:

She will go to 729 games in 162 days.

Step-by-step explanation:

27÷6 = 4.5

4.5 · 162 = 729

Answer:

729 games in 162 days

Step-by-step explanation:

If she goes to 6 games in 27 days, then you divide 27 by 6, to get the unit rate.

27/6=4.5

Now that you have the unit rate, you multiply 162 by the unite rate, or 4.5, in this case.

162x4.5=729

-hope it helps

3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Answers

The exact area of triangle ABC is 93.51 cm².

The given parameters;

Height of the triangle, h = 18 cm

The base of the triangle is calculated by using trigonometry ratio as follows;

[tex]tan (30) = \frac{b}{18} \\\\[/tex]

where;

b is the base of the triangle ABC

[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: https://brainly.com/question/23945265

WILL GIVE BRAINLIEST

Answers

Answer:

the y intercept is 5/3

the y intercept is 3/5

Dose anyone know questions 2 and 3?

Answers

Answer:

Step-by-step explanation:

1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³

The cost increases by $1.50 for each additional toothbrush made.

When you’re driving and your instructor tells you to do a shoulder check, do you look directly to the right and left or behind your shoulder

Answers

Answer:

If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.

5. Marcus has a 28-ounce bottle of Gatorade. He
drinks 21 ounces. Enter the percentage of the
bottle Marcus has left.

Answers

Hi!

He has 25% of the bottle left.

Knowing he drank 21 oz. out of a 28 ox. bottle, he has 7 oz. left.

We want to know the answer to: 7 is what percent of 28?

To do this, we simply take 7 and divide it by 28. 7/28 is 1/4, which can be represented by 0.25

0.25 as a percent is 25%.

Use the distance to find the distance between the points A (-3,7 and B (-2,5).

Answers

Step-by-step explanation:

1 2 3 4 5

wa

The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?

Answers

Answer:

Percent change in the price of gas is [tex]9.85\%[/tex]

Step-by-step explanation:

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .

[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]

Here

[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]

[tex]V_{1}=2.03\$/gallon[/tex]

The percent change in the price of gas

[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]

Percent change in the price of gas is [tex]9.85\%[/tex]

purchase good from naresh rs 9000 and isued a cheque of rs 4000 only as payment​

Answers

Answer:

that means you have a 5000 dollar debt

Hope This Helps!!!

Find the value of x need help

Answers

Answer:

x=-10

Step-by-step explanation:

since there's a given 120 degrees, and it's a isosceles triangle, we know that the line adds up to 180 (where the 120 degrees is). so 120+x=180, the interior angle measures 60 degrees. That being said, the 3 angles measure 60 degrees also. now there's a right angle mark on top, so we find the angle of the smaller triangle (near angle 2) by doing 90-60=30 degrees.

angle 2 is said to be x+160, and there's a line, which tells us that they must add to 180.. so x+160+30=180

x+190=180

x=-10.

Please answer the question on the image.

Answers

Answer:

both isosceles???

Step-by-step explanation:

Answer:

They are similar.

Step-by-step explanation:

There might be other ways but

<X(Angle of x) is used for both triangle XAB and XYZ

And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.

The similarity statement is: AAA Because angle(A=B , B=Z)

What is the value of 3^2x+1, if 3^x=a

Guys HELPPPPP

Answers

Step-by-step explanation:

We use the power rule a^(x+y) = a^x * a^y:

3^(2x+1) = 3^(2x) * 3

We can re-write 3^(2x) as (3^x)^2, and we know that 3^x = a, so:

3a^2 is the final answer. There is not exact value, it's all just about re-writing.

[tex]3a^2 [/tex] is a required answer.

Answer:

solution given:

[tex]3^{2x+1}=? [/tex]

if [tex] 3^x=a[/tex]

By using power rule, we can write

[tex]3^{2x+1}[/tex] as

[tex]3^{2x+1}=(3^x)^2*3^1 [/tex]

[tex]a^2*3=3a^2 [/tex]

Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.

Answers

The probability that the balls drawn are red, green, and black in that order will be 3/78.

What will the probability be?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:

= 4 + 7 + 3

= 14 balls.

The probability that the balls drawn are red, green, and black in that order will be:

= P(red) × P(green) × P(black)

= 7/14 × 3/13 × 4/12

= 1/2 × 3/13 × 1/3

= 3/78

The probability is 3/78.

Learn more about probability on:

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If you spend 3/5 of your $40 gift card, how much money will be left on it?

Answers

Answer:

$16

Step-by-step explanation:

1-⅗=⅖

40×⅖=16

Here's the answer

TE Irene has a collection of 32 dolls that have either blue eyes or green eyes. She has 14 more green-eyed dolls than blue-eyed dolls. How many dolls of each type does Irene have? Let x represent the number of green-eyed dolls. Let y represent the number of blue-eyed dolls.​

Answers

The formula

x + y = 32

Find our X value

y + 14 = x

Sub for x

(y + 14) + y = 32

Remove Parathesis

y + 14 + y = 32

Add

2y + 14 = 32

Subtract

2y = 18

Divide

y = 9

Sub for y

x + 9 = 32

Subtract

x = 23

Double Check:

9 + 14 = 23

23 + 9 = 32

I hope this helps! :)

The perimeter of the equilateral triangle drawn below is 9b + 12.

The shape below is made of four of these triangles.

Find a simplified expression for its perimeter.

Answers

Not sure but 4(9b+12)= 36b+48
An equilateral triangle has 3 equal sides
If the perimeter of a triangle is 9b+12 then one side equals 3b+4 (divide by 3 because there are 3 sides

In the big triangle there are 6 sides so multiply 3b+4 by 6
=18b+24

Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second is the unit rate for Shanya words/second is the unit rate for Tristan, words/second is the unit rate for Ebony, So. is the fastest typist​

Answers

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

James: 0.5 words per secondShanya = 3 words per seconds

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

https://brainly.com/question/11848573

Answer:

✔ 1.5

words/second is the unit rate for Tristan.

✔ 2

words/second is the unit rate for Ebony.

So,

✔ Shanya

is the fastest typist

thanks and 5 stars >:(

How many cubes with side lengths of 1/3 does it take to fill the prism

Answers

Step-by-step explanation:

along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.

along the side with 2 2/3 cm we can fit 8 cubes :

2 2/3 = 6/3 + 2/3 = 8/3.

and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8

and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.

so, we have

3 × 8 × 2 = 48

48 cubes are needed to fill the prism.

Two side of a triangle have the following measures.

Answers

Answer:

add the two then subtract the two and put those answers in each box :)

Step-by-step explanation:

hope this helped! happy holidays!

Please help!! I have less than an hour to turn this in!

Answers

Answer:

8 × 10¹

Step-by-step explanation:

don't panic. just breathe deeply and then think logically.

0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?

the 3rd position after the decimal point is for 1/1000.

and that means 10^-3. in the same way as 1000 is 10³.

so, it is 2 × 10^-3.

the other rounded number is then 4 × 10⁴.

now, we are multiplying both numbers

2×10^-3 × 4×10⁴

what do we do ?

we combine the same types of factors, like the basic constants : 2×4 = 8

and 10^-3 × 10⁴.

what hairball when we multiply the same base number with exponents ? we add the exponents :

10^-3 × 10⁴ = 10¹ = 10

because -3 + 4 = 1

and so, the result is

8 × 10¹

Could someone explain how to solve this please?​

Answers

Step-by-step explanation:

the diagaonls of rectangle interscet at x

find the angle that a diagaonl makes a longer side of the rectangle

A car traveling at 48 mph overtakes a cyclist who is riding at 16mph had a 3 hour head start how far from the starting point does the car overtake the cyclist?

Answers

The car overtakes the cyclist at a distance of 72 miles from the starting point.

,Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let the car overtake the cyclist at distance d and time t.

For the car:

48 = d / t

d = 48t

For the cyclist:

16 = d / (t + 3)

d = 16t + 48

48t = 16t + 48

32t = 48

t = 1.5 hours

d = 48(1.5) = 72 miles

The car overtakes the cyclist at a distance of 72 miles from the starting point.

Find out more on speed at: https://brainly.com/question/3004254

What is the difference of the fractions? Use the number line to help find the answer.
1/5-3/4

○ -19/20
○ -11/20
○ 11/20
○ 19/20​

Answers

Answer:

-11/20

Step-by-step explanation:

[tex]\frac{1}{5} - \frac{3}{4} = \frac{?}{?}[/tex]

first you want to get a common denominator (number on the bottom)

[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]

now you can subtract the numerators (number on tope) (also don't touch bottom)

[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]

Ricky ran 3/4 of a mile in 1/12 of an hour. What was Ricky´s average speed?

Answers

Answer: 9

Step-by-step explanation:

3/4mile takes 1/12 hours

so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour

Answer:

3/2 miles per hour

Step-by-step explanation:

To find his average speed, divide 3/4 mile by 1/2 hour:

 3        2

----- *  ------ = 3/2 miles per hour

 4         1

A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?

Answers

Answer:

The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.

WILL GIVE BRAINLIEST
What decimal is equivalent to -3 3/20?

Answers

Answer:

3 3/20 is equal to 3.15 in decimal form.

Step-by-step explanation:

Answer:

A. -3.15

Step-by-step explanation:

this isn't much but i really like math xD hope this helps! :) (please pick as brainlyist)

A car travels 18 miles on a gallon of gas. The car used 65 gallons of gas last week.compute the number of miles the car traveled?

Answers

Answer:  1170 miles

Work Shown:

(18 miles)/(1 gallon) = (x miles)/(65 gallons)

18/1 = x/65

x/65 = 18

x = 65*18

x = 1170

Answer: 1170 miles

1 gallon of gas --> 18 miles

65 gallon of gas --> 18 * 65 (which is 1170 miles)

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whats the slope of the line that passes through (3,-3) with the slope of 3? Given that f(x) = ax 5 and f(4) = 15, determine the value of a. Which of the following events could be a threat to a states sovereignty at the national scale, while holding a region together at the global scale?Answer A: A natural disaster such as an earthquake or tsunami occurring within the countryAnswer B: A member of the states minority political party being elected to lead the countryAnswer C: Admittance into a supranational organization such as the European UnionAnswer D: Decommitment to environmental resolutions established by the United NationsAnswer E: A shift from a federal system to a unitary system of governance within the stateAnswer is C HELP PLEASE I DONT UNDERSTAND FA 1. Contextualize Pax Romana by completing the following tasks:Identify when and where the golden age took placeDescribe the factors that led to the golden agedescribe the factors that led to the golden age Describe three inventions from the late C19th. what is the percent change of30 to 90?what is what is the percent change of 30 to 90? an example of a digital buyer who is engaged in product-focused shopping is someone who - 5. Venus is like Earth because A. They both have oceans, air, and plant life. B. They both have people living on them. C. They are about the same size and have about the same amount of gravity. 12/15 =10/13 true or false -4x+ lly = 15 pls help me x=2y Select the interval where g(2) < 0.(graphed on khan academy) 3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes? completing the square: x^2+2x-7=8x How many more soldiers did the Americans have than the British? {GIVING BRAINLIEST}How was the militia more ready for the Battle of Bunker Hill than the Battles of Lexington and Concord? They collected more money from the locals. They dug trenches and built fortifications. They had warned residents of the approaching army. They prepared matching uniforms. How many valence electrons does the following isotope have? I dont understand this please help In this diagram shown,PQRS is a rectangle What is anequation of the line that passes through the point (-8, -1) and isparallel to the line x 4y = 4?