Mathematics High School

A guy wire attached to the top of a radio antenna
is bolted to the ground 48 m from the base of

the tower. If the wire makes an angle of 14°

with the ground. What is the length of the

guy wire? Round your answer to the nearest

hundredth of a meter.

Answers

Answer 1

Answer:

49.47 m

Step-by-step explanation:

You will need to use the cosine function

which is the ratio adjacent side/hypotenuse

So, let x = length of guy wire

then   cos 14 = 48/x

         x cos 14 = 48

             x = 48/cos 14

                = 49.47 m

Note:  You must memorize the definitions of all the trig functions so you can do problems like this one.  OK?

Related Questions

On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight

Answers

Answer:

Step-by-step explanation:

Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:

Answers

Answer:

y - intercept = -5/2

x-intercept = -2

Step-by-step explanation:

-5x - 4y = 10

At y-intercept , x = 0

0 - 4y = 10

       y = 10/-4

       y = -5/2

At x-intercept, y = 0

   -5x  - 0 = 10

           -5x = 10

              x = 10/-5

               x = -2

Y-intercept =(-2,0)

X-intercept =(0,- 5/2 )

Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.

Answers

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

[tex]Volume=length\times breadth \times height[/tex]

[tex]V_1=36\times 75 \times 80[/tex]

[tex]V_1=216000[/tex]

The volume of a cube is

[tex]Volume=a^3[/tex]

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

[tex]a^3=216000[/tex]

[tex]a=\sqrt[3]{216000}[/tex]

[tex]a=60[/tex]

Therefore, the measure of edge of the cube is 60 cm.


PLZZ HELP AND EXPLAIN IF POSSIBLE

Answers

Answer:

456 ft.sq

Step-by-step explanation:

Here's your solution

=> Divide the whole figure in two parts

First part is trapezium

Second part is square

=> Area of trapezium = 1/2*sum of parrel sides*distance between them

=> Area of trap. = 1/2*( 24 + 11) *24

=> Area = 1/2*35*24

= > Area = 35*12. =. 420 ft.sa

=> Area of square = side*side

=> Area = 6*6

=> Area = 36 ft.sq

=> Total area of figure = 420 + 36

456 ft.sq

What symbol makes the statement true?
4/6 3/8​

Answers

4/6 is 0.666666666666667
3/8 is 0.375
So 4/6>3/8

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Can you plsss. answer 1,2, and 4 questions plss. I need help!​

Answers

I) 11
ii) 20 count the dots
Iv) that data appears to fit a normal distribution....cluster of data near the center giving similar mean median mode. Some outliers in the tails

A Cd usually sells for 11 if the XD is 10% of abs sales tax are 6% What is the total price of the cd including tax

Answers

9514 1404 393

Answer:

  $10.49

Step-by-step explanation:

Maybe $11 CDs are selling at a 10% discount with 6% sales tax. Then the total price is ...

  $11.00 × (1 -10%) × (1 +6%) = $11.00(0.90)(1.06) ≈ $10.49

The price with discount and tax is $10.49.

Decide whether each one of these sets of data is discrete or continuous.
a) the weight of a puppy
b) the number of puppies in a litter
c) a person's temperature
d) the dress sizes of women​

Answers

Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

A rectangular rug measures 9 feet by 6 feet. The rug has two nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue. HELP HELP HELP

What percent of the rug is blue

54
65
74
89

Answers

Answer:

54%

Step-by-step explanation:

pls help need it ASAP
:)

Answers

Answer:

x = 4

y = 13

Step-by-step explanation:

x + y = 17

y = 2x + 5

substitute for y:

x + (2x + 5) = 17

reduce:

3x + 5 = 17

subtract 5 from each side:

3x = 12

divide both sides by 3:

x = 4

y = 2(4) + 5

y = 13

The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number

Answers

we have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10. We also know that 10a + b - 36 = 10b + a. Arranging gives us 9a - 9b = 36. And then divide by 9 gives us a - b = 4. Now we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7. Following that b is 3. This means that the 2 digit number we’re looking for is 73.

please help this is TIMED!

Answers

Answer:

angle 1 = 51 degrees

angle 2 = 18 degrees

angle 3 = 123 degrees

angle 4 = 39 degrees

Step-by-step explanation:

angle 2 = 90-72 = 18

angle 3 = 180 - 57 = 123

angle 4 = 180 - 123 - 18 = 39

angle 1 = 90 - 39 = 51

The answers is in the top

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

120

Step-by-step explanation:

First we can find the value of each exterior angle

The sum  of the exterior angles is 360

because a hexagon has 6 congruent exterior angles we divide 360 by 6

360/6=60 so each exterior angle is equal to 60 degrees

the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180

180-60=120 so each measure of the interior angle of a hexagon is 120 degrees

Part of the cell theory states that the cell is the basic unit of all living things. Julio wanted to use an analogy to explain this statement to his friend. What analogy should Julio use?
A.Different books tell different stories.
B.Newspapers are printed every day.
C.Words can be both written and spoken.
D.The same letters are used to make all the different words.

Answers

Answer: D
Hope this helps :)

PLSSS HELP!!!!!!!!

What is the y-intercept of the function and what does it represent?

Answers

Answer:

The y-intercept is $1000

Step-by-step explanation:

What this means is the the value of the antique when first found/created was 1000 dollars

A washer and a dryer cost 854$ combined. The washer costs $96 less than the dryer. What is the cost of the dryer

Answers

Answer:

950

Step-by-step explanation:

854+96=950 I need more characters so ingnor this sentence.

The ratio of the number of boys to the number of girls in a chior is 5 to 4. How many boys are in chior

Answers

Answer:

N/A

Step-by-step explanation:

There is not enough information to find the amount of boys in choir. You did not give us how many girls there are in choir or how many people were in choir in total. That could've helped us. Better luck next time!!!!!

Does 2x+15+x equal 180 or 90? Someone pls help.

Answers

Answer:

Its 180!

Step-by-step explanation:

180 is the answer to your question

Express in simplest form with a rational denominator.
4 over 28

Answers

Answer:

Explained in detail below

Step-by-step explanation:

4/28 = 1/7 = 1:7

It’s written as 4/28 then you write it as 1/7 or 1:7, you know it’s fully simplified because both numbers are prime

Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.

Answers

Answer:

×= 5hrs

Step-by-step explanation:

Daisy 9 hrs

Bella my son 5hrs

what is the answer ????​

Answers

Answer:

I think its joe

Step-by-step explanation:

c or b

The answer is c

Step-by-step explanation:

........

..........

..

.

.

The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?​

Answers

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

please help
find the value of x in the isosceles triangle shown below.

Answers

Square root of 55 :):)

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

How many Square feet of outdoor carpet will we need for this hole? plzz helpp!

Answers

Answer: I would say 4 square feet

Step-by-step explanation:

Pls give brainliest

Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =

Answers

Answer:

a = 3b+13

Step-by-step explanation:

a-7=3b+6
a=3b+6+7
a=3b+13

pls help I will give brainleist (4)

Answers

Answer:

0.25

Step-by-step explanation:

The answer is A hope this helps

Please help! Photo is linked! Help asap! Extra points!

Answers

Answer:

c and d

Step-by-step explanation:

Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If you were to write an exponential decay function to represent this situation, what would the decay factor be?

Answers

Answer:

0.925 or 92.5%

Step-by-step explanation:

y=a(1-b)^x

decay factor is 1-b <- and the part we care about

b is 7.5%=0.075

1-0.075

=0.925

I'm a little rusty on exponential rates, but I hope this helps!

The decay factor for the car will be equal to 0.925 or 92.5%

What is an exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.

The decay factor will be calculated as,

[tex]y=a(1-b)^x[/tex]

b is 7.5%=0.075

Decay factor = 1-0.075

Decay factor = 0.925

To know more about exponential expression follow

https://brainly.com/question/12940982

#SPJ2

Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

Find the mode of 7 , 3 , 2 , 5 , 0. Single choice.


2

0

No mode​

Answers

Answer:

No mode​

Step-by-step explanation:

The mode is the statistical method in which the most repetitive number should be considered

Like if we take an example

1,1, 2, 2, 2, 4, 4,4,4

So here the mode is 4 as 4 is repeated 4 times

But in the given situation there is no mode as every number is written single time

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