Danny is 5 years old and weighs 46 pounds. He is sitting on a swing when his sister Stacey pulls him and the swing back horizontally through an angle of = 45.0° and then holds him at static equilibrium. Find the magnitudes of both H and T.

Answers

Answer 1

Answer:

H = 46 lbs

T = 65.05 lbs

Step-by-step explanation:

From the given information:

The information shows a right triangle and the solution comes from the bottom leg H and the top T.

So, using the tangent of the trigonometric function;

tan θ = H/46 lbs

tan (45.0°) = H /46 lbs

1 = H /46 lbs

H = 46 lbs

From the top T

T cos θ = W

T cos 45.0° = 46 lbs

T = 46 lbs/cos 45.0°

T = 46 lbs / 0.7071

T = 65.05 lbs


Related Questions

Jackson is buying a new TV for $650. He will also be
charged 7.5% in sales tax. What will be Jackson's total bill?

Is the answer 48.75

Answers

Answer:

his total bill would be 698.75

Step-by-step explanation

you only did half of the problem lol.

48.75 is just the sales tax. to get the total bill, you need to add 650 to 48.75 because 650 is the actual price of the TV

hope this helps :)

Answer:

This is an percentage change question to calculate this, simply:

7.5% * 650 is 48.75 (You are correct here)

But the question

asks for) "Jackson' total bill) therefore its 48.75 + 650 = 698.75

Cheers! :)

Which is equal to sin 90°?
a. tan 90 degrees
b. cos 90 degrees
c. sin 0 degrees
D. cos 0°

Answers

Answer:

D. cos 0°

Step-by-step explanation:

[tex] \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree [/tex]

Help pls o answers asap

Answers

Answer:

17 to 12

Step-by-step explanation:

it's monkeys to chimps

what is the domain of this function?​

Answers

Answer: C is the domain of the function

Step-by-step explanation:

y=f(x) and x in y=f(x) is domain.

If u = <5, -5>, v = <1, -4>, and w = <4, -9>, which operation gives the result represented in the graph?

Answers

Answer:

-2u+w  

Step-by-step explanation:


Write an equation of the line that passes through (2,-4) and is perpendicular to the line
y = -2x + 5 in slope intercept form

Answers

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?

Answers

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

–5x + 10 > –15?
solve

Answers

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

PLEASE HELP IM SO STRESSED RN HDHHSH

Answers

Answer:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Step-by-step explanation:

Al considerar 52 m como la distancia entre dos puntos situados realmente 53.06 m

Answers

Put this in English then I can help you

please help me brainliest for correct answer the sides of a triangle are as follows; (3x - 2), (-5x) and (8x + 7). what is the expression of the perimeter?

Answers

Answer:

Perimeter = 6x + 5.

Step-by-step explanation:

The perimeter is the sum of the three sides.

Perimeter = 3x - 2 + (-5x) + 8x + 7

= 3x - 2 - 5x + 8x + 7

= 3x - 5x + 8x - 2 + 7

= 6x + 5.

What are the x- and y-intercepts of −3x + 5y = 15?

Answers

y int = (0,3)
x int = (-5,0)

Answer:

x = -5   y = 3

Step-by-step explanation:

-3x + 5y = 15

cancel out the y

-3x + 5(0) = 15

-3x = 15

divide both sides by -3

x = -5

-3x + 5y = 15

cancel out the x

-3(0) + 5y = 15

5y = 15

divide both sides by 5

y = 3

Hope this helps!!

(-1,2) (1,8)

Find the slope

Answers

Slope: (y2-y1)/(x2-x1)
(8-2)/(1+1) = 6/2 = 3
The slope is 3

Jim wants to make 2.7 quarts of a 60% alcohol solution by mixing together a 80% alcohol solution and a 20% alcohol solution. How much of each solution must Jim use?

Answers

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

Parker signed up for a streaming music service that costs $6 per month. The service allows Parker to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Parker have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

4x+y+2z=4
5x+2y+z=4
x+3y=3

Answers

Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

1

3x +2y − z = − 1 Using the first two equations,

− 2x − 2y +3z = 5 Add the first two equations

(A) x +2z = 4 This is equation (A), our first equation

− 2x − 2y +3z = 5 Using the second two equations

5x +2y − z = 3 Add the second two equations

(B) 3x +2z = 8 This is equation (B), our second equation

(A) x +2z = 4 Using (A) and (B) we will solve this system.

(B) 3x +2z = 8 We will solve by addition

− 1(x +2z) =(4)( − 1) Multiply (A) by − 1

− x − 2z = − 4

− x − 2z = − 4 Add to the second equation, unchanged

3x +2z = 8

2x = 4 Solve, divide by 2

2 2

x = 2 We now have x! Plug this into either(A) or(B)

(2) +2z = 4 We plug it into (A),solve this equation,subtract 2

− 2 − 2

2z = 2 Divide by 2

2 2

z = 1 We now have z! Plug this and x into any original equation

3(2) +2y − (1)= − 1 We use the first, multiply 3(2) =6 and combine with − 1

2y + 5= − 1 Solve,subtract 5

− 5 − 5

2y = − 6 Divide by 2

2 2

y = − 3 We now have y!

(2, − 3, 1) Our Solution

As we are solving for x, y, and z we will have an ordered triplet (x, y, z)

How do I solve 8=3a-4

Answers

Answer: 4

a = 4

Step-by-step explanation: 8=3(4)-4

8=12-4

Substitute a for 4

hope this is correct :-)

Answer:

a=4

Step-by-step explanation:

8=3a-4

-3a= -4 -8

-3a = -12

a=12/3

a=4 Ans

Write the simplest polynomial function for each set of zeros

Zeros = 0, 1, -1, 5

Answers

Answer:

f(x) = x^4 - 5x^3 - x^2 + 5x should be the answer

Step-by-step explanation:

x = 0 1 -1 5

x = 0

x - 1 = 0

x + 1 = 0

x - 5 = 0

f(x) = x (x - 1) (x + 1) (x - 5)

(x - 1) (x - 5) = x(x) - 1(x) - 5(x) - 1(- 5)

x^2 - x - 5x + 5

f(x) = (x^2 - 6x + 5) (x + 1)

x^2(x) - 6x(x) + 5(x) + x^2(1) - 6x(1) + 5(1)

x^3 - 6x^2 + 5x + x^2 - 6x + 5

f(x) = (x^3 - 5x^2 - x + 5) x

x^3(x) - 5x^2(x) - x(x) + 5(x)

f(x) = (x^4 - 5x^3 - x^2 + 5x)

Answer:

y = x^4 - 5x^3 - x^2 + 5x

Step-by-step explanation:

hope i helped

3x² + 7%-6
Please help me solve it!!

Answers

Answer:it’s factorable

Step-by-step explanation:

I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.

Answer:

(x + 3)(3x - 2)

Step-by-step explanation:

Multiply the 3 and -6 together to get -18 . What two numbers add to  7  and multiply to  -18? 9 and -2

So we can now split the middle term like this...

=  3x^2 + 9x - 2x - 6            

Now factor a  3x  out of the first two terms.

=  3x(x + 3) - 2x - 6            

Now factor a  -2  out of the last two terms.

=  3x(x + 3) - 2(x + 3)        

Now factor a  (x + 3)  out of both remaining terms.

=  (x + 3)(3x - 2)

Please help me im very depressed and im struggling a lot on my math and i really need some answers


Between which two numbers will you find 4.378?
A. 4.1 and 4.2
B. 4.2 and 4.3
C. 4.3 and 4.4
D. 4.4 and 4.5

Answers

Answer is c, take the second and third number and compare them

.37 fits between .3 and .4

find the exact perimeter of square whose side length is 5∛16 cm

Answers

Answer:

P = 50.39 cm

Step-by-step explanation:

It is given that,

The side of a square, a = 5∛16 cm

We need to find the perimeter of the square.

Perimeter = sum of all sides.

All sides of a square are equal. Its perimeter is given by :

P = 4a

[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]

So, the exact perimeter of the square is 50.39 cm.

Which of the following relations is a function?
A. (1,4),(-4, 6), (1, 3), (-7, 2)
B. (1.4).(-4,2), (5, 1), (-7,2)
C. (1,0).(-4,3), (5, 1), (-4,5)
D. (5,1),(-4,4), (1, 1), (5,2)

Answers

Answer: A. Not a function. B. Is a function. C. Not a function. D. Not a function.

Step-by-step explanation:

B.) is a function good luck on your quiz

There are 4 grams of fiber in 1/2 cup of oats. How many grams of fiber are in 3 1/2 cup of oats?

1. 12 grams

2. 28 grams

3. 14 grams

4. 7 grams​

Answers

C. 14 grams
4 x 3 1/2 equals 14 grams

Lucas buys sandwiches for the boys' basketball team. At the first game, he paid $85 for 17 sandwiches. At the second game, he will have to buy 21 sandwiches at the same cost per sandwich
How much will Lucas have to pay? Use any strategy to solve this problem.
O $90
O $105
O $110
O $120

Answers

Answer:

$105

Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.

What should you do? Jason collects baseball cards. He has 33 cards. He wants to put 4 cards on each page of his book. How many pages will he need to put all of his cards in the book? Should you.. Ignore the remainder Ignore the remainder Increase the quotient by one Increase the quotient by one Remainder as the answer

Answers

Answer:

Increase the quotient by one

Step-by-step explanation:

Since in the question it is mentioned that There is a total of 33 cards and wants to put 4 cards on each page

So for determining the number of pages for put all of his cards

We should do increment in the quotient by 1 as there is a requirement of an additional page for the left cards

Therefore the above is the answer

Please help me I cant figure it out.

Answers

Answer:

24 possibilities

Step-by-step explanation:

3 colors X 8 numbers = 24 possibilities

what is the answer to the question?​

Answers

Answer:

sss and sas both work

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

We can see two congruent sides as per marks and one shared side which is congruent to itself

If the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

So the correct option is SSS

How long would it take me to earn $139.50 of interest at 6% interest rate if i started with $930

Answers

Answer:

I think 0.06

Step-by-step explanation:

i need help can someone plz solve this 20x-24y= -144

Answers

Answer:

if you are solving for x, x=-36/5+6y/5

if you are solving for y, y=6+5x/6

Step-by-step explanation:

Please answer this question.

Answers

Answer:

Step-by-step explanation:

It’s 88

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