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Firdavs [7]
3 years ago
5

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun

d at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?
Mathematics
1 answer:
Andrews [41]3 years ago
3 0
The angle = 67<span>° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:

cos 67 = 137 / x

Solving for x;
x = 350.62 ft</span>
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f a rectangle has a perimeter of 70, a length of x and a width of x - 9, find the value of the length of the rectangle.
trasher [3.6K]

( x + (x  -  9))  \times 2 = 70 \\( 2x - 9) \times2= 70 \\ 4x - 18 = 70 \\ 4x = 70 + 18 = 88
x =  \frac{88}{4}  = 22
the length is 22


and the width is
22-9=17





good luck
3 0
3 years ago
The tables show the battery lives (in hours) of two brands of laptops. Which brand's battery lives are more spread out? Explain​
GalinKa [24]
Absolute Mad Deviation is used to see how spread out data is, you find the mean of data then subtract the mean from each number (absolute value) and then find the mean with the subtracted numbers.
Brand A MAD: 2.6925
Brand B MAD: 1.05
It’s Brand A :)
7 0
2 years ago
You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.
Orlov [11]

Answer: 1,475.8mm^{2}

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

SA_s=4r^{2}(3.14)

Where r is the radius (r=\frac{10mm}{2}=5mm)

2. Then:

SA_s=4(5mm)^{2}(3.14)=314mm^{2}

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

SA_c=2(3.14)(r)(h)

Where h is the height (h=32mm)

4. Then:

SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}

5. So, the total surface area is:

SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}

6 0
3 years ago
What is the explicit formula for this arithmetic sequence?<br>3,9,15,21,27​
denis-greek [22]

Answer:

Step-by-step explanation:

Formula is to add 6. As you can see: 3+6=9; 9+6=15; 15+6=21 and 21+6=27.

I hope this was helpful.

8 0
3 years ago
Read 2 more answers
Is the circumference of all circles about 3 times greater than their diameters. and why?
stira [4]

Answer:

<h2>Yes the circumference is about times greater than their diameters</h2>

Step-by-step explanation:

We will approach this problem by doing a check

Say the diameter of a circle is 4 cm

Hence the radius is 3 cm

We know that the circumference is C=2\pi r

C=2*3.142*2= 12.57cm

The circumference is about 3 time bigger than the diameter

Let us try another case say the diameter is 6 cm

The radius is 3 cm

C=2*3.142*3= 18.85cm

8 0
3 years ago
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