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Lady_Fox [76]
3 years ago
6

A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point

4 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole. Find the total number of yards of cable that will be required.
Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0
Cables are forming 3 right angled triangles the pole being the shared height of them;

(height) b= 12yd
(base) a= 9yd
(hypotenuse) c= ?
Need to find the long side (hypotenuse);

a^2 + b^2 = c^2

12^2 + 9^2 = 225
Take square root of 225 = 15
Then you have;

1x 12yd = 12
3x 9 yd = 27
3x 15yd = 45

Add them up = 84yd of cable needed
Vlad [161]3 years ago
4 0

Answer: There are 45 yards of cable that will be required.

Step-by-step explanation:

Since we have given that

Height of cable = 16 yards - 4 yards = 12 yards

Distance from pole = 9 yards

cable is the hypotenuse of the right angled triangle.

So, it becomes,

c^2=b^2+p^2\\\\c^2=1262+9^2\\\\c^2=144+81\\\\c^2=225\\\\c=\sqrt{225}\\\\c=15\ yards

Since , number of cable supported = 3

So, Number of yards of cable that will be required would be

3\times 15\\\\=45\ yards

Hence, there are 45 yards of cable that will be required.

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Murljashka [212]

Answer:

1.33

Step-by-step explanation:

2 1/2=2.5

1 7/8=1.87

=1.33

3 0
3 years ago
What is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1
aleksandr82 [10.1K]

Answer: 24

A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.

the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.

The general equation for the vertical hyperbola is

            [ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1

The conjugate axis of the vertical hyperbola is y = k

Length of the conjugate axis  = 2b

According to the question k = 2, h = -1, a = 4, b = 12

Length of the conjugate axis = 2b = 2 * 12  = 24

Learn more about hyperbola here :

brainly.com/question/3351710

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7 0
2 years ago
Can I get lil help on theses please
pav-90 [236]

these are the answers is order:

10, 22, 57, 36, 42, 60, and 16,000.

Hope these helped! :D


5 0
3 years ago
Read 2 more answers
Need some help please would really be greatful
Gnesinka [82]

Answer:

x = 100°

Step-by-step explanation:

Actually the drawing is very inaccurate, so it is a regular pentagon, otherwise x would be 60° and none of the answers would fit.

The formula for finding the sum of all angles in a polygon is:

(n-2) * 180°

n is the number of sides

Here n = 5, so the sum of all angles is (5-2) * 180° = 540°

x + 2x + 86 + 92 + 62 = 540

3x = 300

x = 100

6 0
3 years ago
Plz help when possible
BabaBlast [244]

Answer: G

Step-by-step explanation:

The total bottle sold on monday is so i'm gonna assume that 40 people were in the cafeteria that day. The cafeteria had 80 customers, which is double the amount of customers from yesterday. If we want to make predictions from monday's data, we should double all the values in the table (so basically apple juice is now 22, cranberry is 14, etc.) so it's more fitting to the number of customers on tuesday.

apple - 22

cranberry - 14

orange - 36

pineapple - 8

G is not supported because it says that 6 times more apple juice will be sold than cranberry. So if we look at the [modified} table, cranberry is WAY over half the amount of apple juice. This means that G's statement is not supported by the table

8 0
3 years ago
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