6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.​

Answer:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Step-by-step explanation:

From the free body diagram attached  below; we will see that

T₃ = Fg   ------ (1)

Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero

Then;

[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]

[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]

Also;

[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]

[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex]   ---- (3)

From equation (2):

[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]

Replacing the above value for  T₂  into equation 3; we have

[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]

[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]

[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex]  ---- (4)

Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B

So ; equation 4 can now be:

[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex]  --- (5)

replacing equation (1) into  equation (5) ; we have:

[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]

Hence; the tension in the string is:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

⅓

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

YuAnswer:

Step-by-step explanation:

I really don't know the answer sorry

Answer:I think 15

Step-by-step explanation:

Answer:

number of Lola hats = h

number of Polly hats = 3h

number of Darla hats = 3h - 8

Step-by-step explanation:

Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.

Let

number of Lola hats = h

number of Polly hats = 3h (recall Polly has triple as many as Lola)

number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)

The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats.  Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.

Answer:

  5

Step-by-step explanation:

Solving the given equation for r, we get ...

  y = rx

  y/x = r

Then we can find r from any pair in the table:

  r = 35/7 = 5

The constant of proportionality is 5.

Answer:

y=3

Step-by-step explanation:

i did it in khan academy :)

Answer:

8.1 g/cm

Step-by-step explanation:

Answer:

[tex]\frac{-abx^{6}+1 }{b}[/tex]

Step-by-step explanation:

Answer:B.104 feet squared

Step-by-step explanation:

First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104

Answer:

B

Step-by-step explanation:

Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

Answer:

[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]

Step-by-step explanation:

They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0

Answer:

0

Step-by-step explanation:

This equation actually has more than one equal sign

Answer:I would think u would

Step-by-step explanation:42,500×26

Answer:

1634.62$

Step-by-step explanation:

P=S/n

P=42500/26=1634.62

Answer:

Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it

Step-by-step explanation:

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer: 64 yards I think

Step-by-step explanation:

Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.

Step-by-step explanation:

Answer: m = -2.

The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].

The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].

We multiply both sides by LCM.

[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]

[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]

[tex]m^{2}-4m-4m-16=m^{2}[/tex]

[tex]8m=-16\\m=-2[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

M=-2 B

Step-by-step explanation:

trust me i took the quiz

Answer:

D

Step-by-step explanation:

Answer:

D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

1.

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

2.

To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]

[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]

[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]

3.

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]

The rejection region is then X²₂ ≥ 7.378

4.

[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]

I hope this helps!

Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

9514 1404 393

Answer:

  A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Step-by-step explanation:

Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.

The first description is appropriate:

  Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Answer: ocd can be characterized as an extreme form of perfectionism, where anything can lead to anxiety fear, and distress. perfectionism is a personality trait where one drives for flawless ness, it becomes ocd when those strives cause literal disorder in ones life

Step-by-step explanation:

Answer:

we need a picture to help

Answer:

Number of total bees = 400

Step-by-step explanation:

He catches 100 bees from the hive and marks each one with a dye.

He later catches 60 and 15 were marked with the dye.

Its very to estimate from the data given.

I'll answer it with ratio.

We'll ratio number of bees with dye to total he caught the second day.

I.e 15:60 = 1:4

We'll multiply this ratio with the number he caught the first day to know the total.

1/4x =100

X = 100*4

X= 400

Where x is the total number of bees in the bee hive.

Answer:

asnwer is B

Step-by-step explanation:

mark BRAINLIEST

Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]