if cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is

Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°

Step-by-step explanation:

We can write the forces as vectors.

We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)

The components of this force, (Ax, Ay), are then:

Ax = 80N*cos(133°)

Ay = 80N*sin(133°)

And we know that Josie pushes with a magnitude of 95N in direction of 290°

The components of this force, (Jx, Jy), are:

Jx = 95N*cos(290°)

Jy = 95N*sin(290°)

When we add these forces, the total force acting on the ball is:

F = (80N*cos(133°) ,  80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))

F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))

Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.

Then we must have that, each component of the force of the third cat (K*cos(θ)  on the x-axis and k*sin(θ) on the y-axis), is such that:

K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0

k*sin(θ)  + 80N*sin(133°) + 95N*sin(290°) = 0

Now we need to solve that system for k and θ

if we simplify the equations we get:

k*cos(θ) - 22.07N = 0

k*sin(θ)  -30.76N  = 0

Now we can rewrite them as:

k*cos(θ) = 22.07N

k*sin(θ)   = 30.76N  

Now we can take the quotiet between both equations to get:

(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N

Tan(θ) = 1.394

θ = Atan(1.394) = 54.35°

Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:

k*cos(54.35°) = 22.07N

k = 22.07N/cos(54.35°) = 37.86N

Then the magnitude of this force is 37.86N, and the direction is 54.35°

Answer:

0.833

Step-by-step explanation:

Answer:

lolooollollolololo-

jk

The answer is

J) 334.06

Step-by-step explanation:

We know the rate is 1.5 inch an hour

So 1.5*2.54 is 3.81

Now 3.81 cm every hour

24 hours a day

3.81*24=91.44

Now 91.44 cm A day

1 Year or 365 days

91.44*365= 33375.6cm a year

now we also need to add the extra 12 inches in the beginning

12*2.54=30.48cm

Now add those 2

33375.6+30.48= 33406.08

now the answer asked for meters so we divide 33406.09/100

you’ll get 334.06 or J

J) 334.06

This is your answer

Answer:

First, let's do some general definitions:

We start with:

f(x) = 3.5*x^3

A general equation of this form is:

g(x) = a*x^3

if:

IaI > 3.5 the function will be steeper.

IaI < 3.5 the function will be less steep.

a < 0, means that we have a reflection over the x-axis.

Then:

p(x) = 4.5*x^3

bassed on what we wrote above, this function is steeper than f(x)

q(x) = -x^3

This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.

r(x) = 3*x^3

In this case 3 < 3.5, this means that this will be lees steep than f(x)

Answer:

n=54

Step-by-step explanation:

Since this is a proportion problem, you have cross mulitply.

7n=9x42

7n=378

n=54

Answer:

cross multiply

9×42=378

7×n=7n

n=378/7

n=54

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

[tex]Rate = 30\ pages/day[/tex]

This implies that Jesse will cover 30y in y days

For Amir:

[tex]Rate = 35\ pages/day[/tex]

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

[tex]y = x + 1[/tex]

So, we have the following equations:

[tex]Jesse = 30y[/tex]

[tex]Amir= 35x[/tex]

[tex]y = x + 1[/tex]

To get the number of days when they read the same number of pages, we have:

[tex]Jesse = Amir[/tex]

Substitute values for Jesse and Amir

[tex]30y = 35x[/tex]

Substitute x + 1 for y

[tex]30(x+1) = 35x[/tex]

Open bracket

[tex]30x+30 = 35x[/tex]

Collect Like Terms

[tex]30 = 35x-30x[/tex]

[tex]30 = 5x[/tex]

Solve for x

[tex]\frac{30}{5} = \frac{5x}{5}[/tex]

[tex]\frac{30}{5} = x[/tex]

[tex]6 = x[/tex]

[tex]x = 6[/tex]

Answer:

A 31/45

Step-by-step explanation:

A 31/45=0.6888 (this is the awnser as the line on top means repeating)

B 682/999=0.682 (0.68 rounded)

C 62/99=0.62626 (repeating)

D 2/3=0.66666 (Or 0.67 rounded)

Absolute error is actual- estimate=33.4-35=-1.6 that in percent can be found using a rule of three, we say that 33.4 is the 100% and we find the % for -1.6

33.4ml -------- 100%

-1.8ml-----------x

x=(-1.8)(100)/33.4

x=-5.4

the percentage error is -5.4%

Answer:

y= 3 + 3/4x sooooooo 3/4 is the slope... I think

Answer:

3/4

Step-by-step explanation:

You can use the x- and y--intercepts since they are easy-to-read points.

x-intercept: (-4, 0)

y-intercept: (0, 3)

To go from (-4, 0) to (0, 3), go up 3 and right 4. That is a rise of 3 and a run of 4.

slope = rise/run = 3/4

Answer: slope = 3/4

Answer:

$0.342 ; 34.2 cents

Step-by-step explanation:

Given that:

Share price fell by 76% in past year :

current price per share = $0.45

Drop in price of share in past year :

76% of current price

0.76 * $0.45

= $0.342

Price dropped by $0.342 per share

In cent, 0.342 * 100 = 34.2 cents

Answer:

rggsktvvg gggggggggggg yyyhhhhg

Step-by-step explanation:

slope.

1.2x

2.-x

3.1/4x

4.6x

5.3/4x

y intercept:

1.4

2.-2

3.1

4.12

5.1/2

Answer:

a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.

Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.

it is a negetive integer

HOPE THIS HELPS

PLEASE MARK ME AS BRAINLIEST.

Answer:

75%

Step-by-step explanation:

Percentage change = (change) ÷ (first value) × 100

Change = second value - first value = 56 - 32 = 24

∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%

Answer:

i got 15

Step-by-step explanation:

Answer:

Three over Ten

Answer:

$9.50

Step-by-step explanation:

40x + (5*1.5*x) = 451.25

40x + 7.5x = 451.25

47.5x = 451.25

x = 9.50

Answer:

I believe it was B.

Step-by-step explanation:

i do not think the order matters, so the answer should be the first two.

Answer:

a. $35

b.$21

Step-by-step explanation:

a. It is what your are multiplying the number of lawns mowed by

b. -2y = -42

divide by -2 on each side

y=21

(you don't need the 35x because we are trying to find how much before he started mowing)

Answer:

6 is 20% of 30

Step-by-step explanation:

6 × 5 = 30

take one of the five parts and you get 20% of the full product

Answer: the first one is 30. The second is .294. The third is 2/3.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A because a markup means the price times the number given which was 32% and 32% is the same as 0.32.

Answer: The closest estimate for the total amount she earned = $4,500

Step-by-step explanation:

Given: Total hours worked = 287 hours

Earning for each hour = $16

Total earning = (Total hours worked ) x (Earning for each hour)

= $ (287 x 16)

= $ 4592 ≈ $4500

The closest estimate for the total amount she earned = $4500

Answer: ↓↓

Step-by-step explanation:

Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?

1/2 ÷ 3 = 1/6

The three boys will each get 1/6 of the pizza.

Hope this is good! :3

9514 1404 393

Explanation:

A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.

Example:

  3/5 represents 3 parts out of 5.

Its equivalent as a percentage is ...

  3/5 · 100% = 60%

which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.

__

Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.

Answer:

2x - 10

Step-by-step explanation:

2(x - 5)

distribute

2*x - 2*5

2x - 2*5

2x - 10