the circus arts program is one of the most popular activities at camp lohikan. it brings a level of excitement and enthusiasm to the camp experience that cant be found at home or in school. a circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground such that the angle made by the rope with the ground evel is 30 degree
i) find the height of the pole in the above situation.
ii) in the above situation, if the height of thepole is 3m and the length of rope is 6m then find angle ACB

Answers

Answer 1

Answer:

hi bro your classmate aleef here

Step-by-step explanation:

hi


Related Questions

HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:

Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10

Answers

Question 1
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps

Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :

Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);


Question 4

Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():

3 1/4 - 1 3/5 | please help !!

Answers

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

A triangular swimming area is marked off by a rope.

a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?

Answers

#a

Perimeter=Sum of sides

400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m

#b

Area:-

1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

Suppose you are interested in studying whether temperature affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different temperatures (40 degrees, 60 degrees, and 80 degrees Fahrenheit).


In this experiment, the null hypothesis is that:


a. There are no differences in the mean completion times among the temperatures compared

b. There are no individual differences in the completion time means

c. The completion time mean for at least one temperature is different from another


The factor of interest is the ____________, and the dependent variable is the ___________

Answers

The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".

What is a null hypothesis?

This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.

This implies the temperature has no effect on the completion times of the paper-folding test.

What is the factor of interest?

It is the effect of temperature because this is the factor being manipulated on purpose.

What is the dependent variable?

This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.

Learn more about null hypothesis in: https://brainly.com/question/16261813

what is 1,455.8 x 4,628.9?

Answers

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

Find YW, would it just be 6?

Answers

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)

THE MIDLINE THEOREM OF A TRIANGLE

This works for triangles with a Midline having two of these properties:

The midline should be parallel to the third sideThe midline is half as long as the third side

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

Example:

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

#learnwithbrainly

Select all that apply. (30 points)


Which pairs of angles are supplementary?




1 and 6
5 and 7
5 and 8
2 and 3

Answers

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.

5 = 60 and 7=120. 60+120=180

what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8

Answers

The area of the trapezoid, to the nearest whole number is: D. 8 units²

What is the Area of a Trapezoid?

Area of trapezoid = 1/2(a + b)h, where:

h = height of trapezoida and b = lengths of the bases of the trapezoid.

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

h = 3 unitsa = 3 unitsb = 2 units

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

Learn more about the area of trapezoid on:

https://brainly.com/question/1463152

You roll a number cube 120 times. How many times can you expect the number cube to land on a six?​

Answers

Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?

Answers

Answer:

Late because 12 were on time so 5 would be late

Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

Answers

Answer:

Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.

Answers

Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

               = 722.5792 cm²

I don't understand this

Answers

Answer:

Step-by-step explanation:

Can someone help me please!!?

Answers

Answer:

AB=21

Step-by-step explanation:

14 is to (14 +12)   as   AB  is to (AB + 18)

14 / 26 = AB / (AB+18)      <===== cross multiply

14 (AB + 18) = 26 AB

AB = 21

What is the 30th term of the following arithmetic sequences
17, 21, 25, ...

Answers

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .

Answers

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]

Find the area of the window.

Answers

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512


What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units

Answers

Answer:

A

Step-by-step explanation:

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

okay so i think the length of CD is 16cm

Find the missing side of the right triangle.

options:

6.5 ft


7 ft


5.5 ft


6 ft

Answers

Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

Answers

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

How do you solve 2. 310x/4y times 8y/5x =

Answers

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]


[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

1/2 of 4/5 as a fraction

Answers

Answer:

4/10 is the answer

( 1 * 4 ) / ( 4 * 5 ) = 4 / 10

4 / 10 = 2 / 5

What is the equivalent expression of 3(7e+1)=

Answers

Answer:

210 i hope i helped you with this question

answer might seem complicated though it's not if u try, well the answer is..

Write an expression that is equivalent to 110% of a quantity, n

Answers

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Line t is tangent to the circle. Find the measure of arc DEF.

Answers

Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

PLSS I NEED HELP!!
1). To make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury. It only takes Earth 1 day! How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.

2). Some plants grow quickly. An invasive weed species can grow quickly. One variety grows up to 0.89 ft per day. How fast in inches per hour can this weed grow? Show your work using the correct conversion factors.

3). David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch.
a). What part of the expression represents the cost of the repair before tax?
b) Explain what your answer in Part A means in the context of the problem.

Answers

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Time calculation

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

59 x 24 + 19 + 0.75 = X1416 + 19.75 = X1435.75 = X

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

0.89 / 24 = ft per hour0.037 = ft per hour1 ft = 12 inches0.037 x 12 = 0.445

Learn more about time calculation in https://brainly.com/question/14695611

Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

can someone explain this pls

brainliest

Answers

You need to add up the sides in order to find your answer

Eliminate the parameter.


x = 5t, y = t + 8 (2 points)

Answers

Answer: y = [tex]\frac{1}{5}[/tex]x + 8

Step-by-step explanation:

       This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

     Given:

x = 5t

    Divide both sides of the equation by 5:

t = [tex]\frac{1}{5}[/tex]x

     -

    Given:

y = t + 8

    Plug in:

y = ([tex]\frac{1}{5}[/tex]x) + 8

    Answer:

y = [tex]\frac{1}{5}[/tex]x + 8

solve pls brainliest

Answers

= 29/6 ×4

=29/3 ×2

=58/3

=19(1/3)

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