Devon wants to build a rope bridge between his treehouse and Cheng's treehouse.
Suppose Devon's treehouse is directly behind Cheng's treehouse. At a distance of 20
meters to the left of Devon's treehouse, an angle of 52° is measured between the two
treehouses. Find the length of the rope.
A. 36.7
B. 4.2
C. 16.9
D. 25.6

Answer:

37/8 (fraction) or 4.625 (decimal) or 4 5/8 (mixed number)

Step-by-step explanation:

To solve this problem you must apply the following proccedure:

1. You have a total of 21 coins, all nickels and dimes. Then:

x:nickels=5 cents

y: dimes=10 cents

x+y=21

2. You have that the total value is $1.70. Then:

5x+10y=170

3. The system of equation is:

x+y=21    (i)

5x+10y=170    (ii)

4. You have:

x+y=21

x=21-y

5(21-y)+10y=170

105-5y+10y=170

y=13 dimes

x+13=21

x=8 nickels

Answer: T = 10p

Step-by-step explanation: Since we don't know what is the total weight, we put the an variable, T to represent the total weight. The 10p means that the poilce officer gained 10 Pounds.

Step-by-step explanation:

u should number the graph first 1- how ever many not alot ill say through 10 and den on the bottom y/ X axis are negatives and den u have to count the numbers to wherever the point is and if I don't make sense plz text me ‍♀️

Answer:

The student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.

Step-by-step explanation:

You have to write an expression where the price they spent that includes the money to rent a booth and the amount paid for each candy bar for the number of candy bars purchased is equal to the money spent that is the price at which they sell the candy bars for the number of candy bars sold:

173+0.45x=5x, where x is the number of candy bars

Now, you can solve for x:

173=5x-0.45x

173=4.55x

x=173/4.55

x=38

According to this, the answer is that the student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.

Answer:

c

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

4 times 8 3/4 is 38 and 39 minus 38 is 1

The speed of object is 3.68m\s.

Given that,

Mass of the object =  5.2 kg,

Object that possesses 26.1 J of kinetic energy.

We have to find,

The speed of the object.

According to the question,

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

If work, which transfers energy, is done on an object by applying a net force, the object speeds up and there by gains kinetic energy.

Then, The formula of kinetic energy is given as,

[tex]K.E = \frac{1}{2} mv^{2}[/tex]

Where, m = mass of the object

And v = speed of the object

Therefore, The speed of the object calculated as.

[tex]KE = \frac{1}{2} mv^{2} \\\\26.1 = \frac{1}{2} \times 5.2\times v^{2} \\\\26.1 = 2.6 \times v^{2} \\\\\frac{26.1}{2.6} = v^{2} \\\\v^{2} = 10.1\\\\v = \sqrt{10.1} \\\\v = 3.68[/tex]

Hence, The speed of object is 3.68m\s.

For more information about kinetic energy click the link given below.

https://brainly.com/question/20339401

Answer:

yes

Step-by-step explanation:

Answer:

No it is 10,000

Step-by-step explanation:

100*100 is like adding 2 zeros to 100. so 1 zero would make it 1000, and 2 zeros would make it 10,000

B. the middle half of the data set

Answer:

A

Step-by-step explanation:

1) combine like terms. 2) isolate the variable

Answer:

1. Multiply by the reciprocal

2. Put the no. Together

Answer:

y = 3

Step-by-step explanation:

We need to solve the below proportion in this problem,

[tex]\dfrac{9}{2}=\dfrac{27}{2y}[/tex]

First of all, we cross multiply both sides such that,

[tex]9\times 2y=27\times 2\\\\18y=27\times 2[/tex]

Dividing both sides by 18.

[tex]y=\dfrac{27\times 2}{18}\\\\y=3[/tex]

For the above proportion, we find that the value of y is equal to 3.

Answer:

Graph x2 = 4y and state the vertex, focus, axis of symmetry, and directrix. ... this "algebraically" by rearranging the given equation into the conics form: ... picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25: ... find the exact vertex, etc, I'll need to convert the equation to perfect-square form.

Step-by-step explanation:

Answer:

8 - 35 = 43

Step-by-step explanation:

Im not sure if that is the answer you are looking for. If not, can your clarify and show me the answer choices?

Answer:

8 + d = 43

Step-by-step explanation:

We are doing inverse operations so we need to do addition instead of subtraction.

Hope this helped!

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

The length of the longer leg is 9√3 inches.

A ratio indicates the number of times one number contains another.

Given that, the length of the hypotenuse is 18 inches.

The ratio of the lengths of the sides of a 30°-60°-90° triangle is:

Short leg: long leg: hypotenuse = 1 : √3 : 2

Since the hypotenuse is 18 inches, it follows that the value of 2 is 18:

2 = 18

1= 9

√3 = 9√3

Hence, the length of the longer leg is 9√3 inches.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ2

Answer:

C

Step-by-step explanation:

im pretty sure its c soo

Step-by-step explanation:

C because tjejkeksso akkaka

Answer:

5.8

Step-by-step explanation:

145/25

Answer:

10 boxes

Step-by-step explanation:

Let's say Coach Dan orders b boxes.

Then since there are 18 hats in each box, we will have a total of 18b hats.

We would like to buy enough for 168 team members, so let's set 18b equal to 168 and solve for b:

18b = 168

b = 168/18 = 9.33

Well, we clearly need at least 9 boxes, but it's not possible to have 0.33 of a box. Thus, we must order one more box for a total of 10 boxes.

Answer:

c

Step-by-step explanation:

Answer:

d. their perimeters are in a ratio of 1:5

Explaination

A is untrue because the sides have the ratio of 1:5, explained in the quastion, so they are not equal/congruent.

B is untrue because the angles are the same in both triangles because the triangles are similar, mentioned in the question.

C is untrue because the ratio of area is squared to the ratio of the perimeter, so the actual areas would be 1:25.

Answer: slope is -4  y intercept is (0,-8)

Step-by-step explanation: you have to use the slope intercept form y = mx + b to find the slope and y intercept

Answer:

Step-by-step explanation:

(147/7)x2

42 minutes of video game time

Answer:

hello thanks sooo much i want brainliest

Step-by-step explanation:

Answer:

$400

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

Daria's total income = fixed income + variable income

Let

Daria's Fixed income = x

additional $30 if the buyer gets an extended warranty

Daria's variable income = 30s

Where,

s = number of televisions with extended warranties she sells

If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income

Daria's total income = fixed income + variable income

1500 = x + 30(15)

1500 = x + 450

1500 - 450 = x

1,050 = x

x = $1,050

Daria's total fixed income = $1,050

How much is the fixed amount Daria for each television?

Fixed income per television = Total fixed income / number of television sold

= 1050 / 15

= 70

Fixed income per television = $70

Answer:

x+y=-1

Step-by-step explanation:

Let, she sold x and y numbers of succulent and ivy plants.

So,

x + y = 34      ...1)

12x + 4y = 240      ...2)

Putting value of x from 1) to 2), we get :

12( 34 -y ) + 4y = 240

408 - 12y + 4y = 240

8y = 168

y = 21

x = 13

Therefore, she sell 13 succulent and 21 ivy plants.

Hence, this is the required solution.

Answer:

Interest earned: 100

Step-by-step explanation:

I=prt

100 = 2000 x 0.05 x 1

Answer:

no one is equivalent to it