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a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable

Answers

Answer 1

The cable and the mass forms a right triangle

The length of the cable is 260 meters

How to determine the length of the cables?

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

Read more about right triangles at:

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Related Questions

will give brainliest!!!

Answers

Remember your order of operations

P.E.M.D.A.S

P.arenthesis
E.xponents
M.ultiplication
D.ivide
A.dd
S.ubtract

[(40+5)-3^2]/9*2
[45-3^2]/9*2
[45-9]/9*2
36/9*2
36/18
2

The last selection 2 is your answer.

I hope this helps and is the BRAINLIEST!!

Good luck with your studies!!

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Anyone know the answer to all of them added together

Answers

Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

[tex]13x+14[/tex]

Step-by-step explanation:

First take all the sides and add:

[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]

Then Combine Like terms:

[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]

There is your answer:

[tex]13x+14[/tex]

(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)

Which would be the best trend line for the given data set? ​

Answers

do you have a pictureso i can tell it would help

A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?

Answers

A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.

Given the following data:

Length A = (5h – 4k) centimeters

Length B = (10h + 7m) centimeters

Length C = (5m – 2k) centimeters.

What is a triangle?

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

How to calculate the perimeter of a triangle.

Mathematically, the perimeter of a triangle is given by this formula:

[tex]P=A+B+C[/tex]

Where:

A, B, and C are length of sides.

Substituting the given parameters into the formula, we have;

[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]

Read more on perimeter of a triangle here: https://brainly.com/question/24382052

Kindly solve this question

Answers

Answer:

x=-1/7

Step-by-step explanation:

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

[tex]\frac{(3x-1)(x-1)}{3x-3} -\frac{2x(3)}{3x-3} =x[/tex]

[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]

[tex]3x^2-10x+1=3x^2-3x[/tex]

[tex]-10x+1=-3x[/tex]

[tex]-7x=1[/tex]

[tex]x=-1/7[/tex]


Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]

Sonia earned $2,100 at her uncle's orchard. if she worked for 70 weeks and earned the same amount of money each week, how much did she earn per week?

Answers

Answer:

30 dollars a week

Step-by-step explanation:

2100/70 is 30

A sum amounts Rs. 720 is divided into two parts in the ratio 3:5. How much will be the amount in second part?) Ans: Rs. 450 ​

Answers

Both part be 3x and 5x

ATQ

[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]

[tex]\\ \rm\rightarrowtail 8x=720[/tex]

[tex]\\ \rm\rightarrowtail x=90[/tex]

Second part:-

5x=5(90)=450

These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)

Answers

Answer:

x=4, perimeter is 30.

Step-by-step explanation:

Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.

[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]

At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.

Find the value of X round your number to the nearest tenths


Explain it please

Answers

In this case, we must use trigonometry to find the value of x:

        [tex]tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24[/tex]

Thus the value of x rounded to the nearest tenth is 8.2

Hope that helps!

     

5 and 1/3 divied by 2 and 2/9

Answers

Answer:

Step-by-step explanation:

16/3 / 20/9 = 16/3 x 9/20= 12/5 which is 2 2/5e

find the median of first 10 prime numbers​

Answers

The first ten prime numbers: 2,3,5,7,11,13,17,19,23,29

Median=11+13/2 =24/2 =12//
Evet canım çok teşekkür ederimmm bir insan değilim ki bir şey olmaz ya o yüzden

can you help me with this

Answers

Answer:

the anwer is b

I did the math

The answer is definetly b

The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
which of these shows a correct step for determining the center and radius of this circle? choose all that are correct.
(2x2 – 8x + 16) + (2y2 – 12y + 36) = -16 + 36
(x - 4)2 + (y - 9)2 = 5
(x2 - 4x + 4) + (y2 – 6y + 9) = -8 +13
ox? + y2 - 4x - 6y = -16
(x - 2)2 + (y - 3)2 = 5

Answers

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?

Answers

Answer:

  5 m

Step-by-step explanation:

The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.

__

  square area = trapezoid area - triangle area

  square area = 57.5 m² -32.5 m² = 25 m²

Then the side length is ...

  side length = √(square area) = √(25 m²)

  side length = 5 m

The length of a side of the square is 5 m.

find the simple interest on $6000 invested for 8 years at 4%

Answers

Answer:

$1920.00

Step-by-step explanation:

You want to calculate the interest on $6000 at 4% interest per year after 8

year(s).

The formula we'll use for this is the simple interest formula, or:

I= P * r * t

Where:

• P is the principal amount, $6000.00.

• r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.

• t is the time involved, 8.…..year(s) time periods

So, t is 8...year time periods.

To find the simple interest, we multiply 6000 x 0.04 x 8 to get that:

The interest is: $1920.00

Really need help, I’m trying to catch up in my math and get my marks back up before mid term..

Answers

Answer:

a) 12x + 22   b) 17[tex]x^{2}[/tex] - x

Step-by-step explanation:

Perimeter is the sum of the each side length.

The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.

(4x+8) x 2 = 8x+16

(2x+3) x 2 = 4x + 6

12x+22

(6[tex]x^{2}[/tex] - 12x) + (2[tex]x^{2}[/tex] + x) + (9[tex]x^{2}[/tex] + 10x)

combine like-terms.

17[tex]x^{2}[/tex] - x

Answer:

12x + 22 for the rectangle, 17x^2 - x for the triangle

Step-by-step explanation:

The perimeter of a square/rectangle is equal to 2*width + 2*length

So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)

This can be further simplified as 8x + 16 + 4x + 6

Which can be further simplified as 12x + 22

The perimeter of a triangle is equal to length if side one + length of side two + length of base

That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)

Which becomes 8x^2 - 11x + (9x^2 + 10x)

17x^2 - x

These two pentagons are similar.​

Answers

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

HELP ASAP
Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain

Answers

Answer:

No

Step-by-step explanation:

The sample size wasn't big enough. It could only be a trend in that grade.

Answer:

Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.

Step-by-step explanation:

Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?

Answers

Answer:

6

Step-by-step explanation:

If you draw out a number line, and a little tick for each number, X will be on the 11 mark (I'll try to do a little thing here)

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16

The 11 is where X is

The question says that point Y is 5 LESS than point X, so we want to go down 5 numbers.

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16f

(6 is 5 less than 11)

So the point Y will be on the 6

the sum of a minutes and b seconds, expressed in minutes, is:​

Answers

Answer:

(1+b/60) minutes

Step-by-step explanation:

A minute = 1minute

b seconds = b/60minutes =b/60 minutes

sum of a minute and b seconds= (1+ b/60) minutes

Find the equation of the line shown.

Answers

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

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Factor: 35b + 15c -10

Answers

Answer:

5(7b+3c-2)

Step-by-step explanation:

Common factor of 5

35b/5= 7b
15c/5= 3c
-10/5= -2

Take the common factor and multiply it by the quotients
5(7b+3c-2)

7. Assume this policy has a deductible of $1,000 and a coverage limit of
$15,000. If tirere are personal property losses of $7,000 for a covered
event, which best describes how much both parties pay?*

Answers

Answer:

Insured person pays $1,000; insurance company pays $6,000

Step-by-step explanation:

Both parties pay $9000.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

Policy has a deductible of $1,000 and a coverage limit of $15,000.

Tirere are personal property losses of $7,000 for a covered event

Based on the given conditions, formulate

= 1000 + 15000 - 7000

= 16000 - 7000

= 9000

Both parties pay $9000.

Find out more information about the PEDMAS rule here:

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What is the pattern;
1=4
2=4
3=64
4= ?

Answers

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?

Answers

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(WY)=VZ.

So, 2(7s)=s+52, meaning s=4.

PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Answer:

B - 2093 in cubed

Step-by-step explanation:

Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.

Hopefully this helps- let me know if you have any questions!

Answer:V≈268.08

Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae

Miranda's heart beats 3 times every 2 secounds. At that rate, how many times does her heart beat in 1 minute?

Answers

60/2 =30

30 x 3 = 90

Answer is 90

What quadrilaterals can you draw that have two sides with length 8 cm and two sides with length
5 cm?
Which of these quadrilaterals can have two sides with length
8 cm and two sides with length 5 cm?
Select all that apply.
OA. Trapezoid
OB. Square
OC. Parallelogram
OD. Rectangle
E. Kite

Answers

Answer:

C. parallelogram

D. rectangle

E. kite

Step-by-step explanation:

Cannot be the square because all sides are the same. A trapezoid can have two sides the same, but not two pairs of equal sides. The remaining shapes can have two pairs of equal length sides. see image.

it takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high


how would i answer this ?

Answers

Answer:

12

Step-by-step explanation:

Well, I am pretty sure you are looking for the length.

Since area = length x width, I would say that you could divide as well.

120 = 10 x 12

I am pretty sure the length is 12.

:)

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