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kondor19780726 [428]
3 years ago
10

A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya

rds below the top of the pole and attached to the ground at a point that is 8 yards from the base of the pole. Find the total number of yards of cable that will be required.
Mathematics
1 answer:
Contact [7]3 years ago
7 0
Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away


a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c


so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

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Solnce55 [7]

Answer:

{(x - 1)}^{2}   = 16 \\ x - 1  =  |4| \\ x  =  |4|   + 1

x = +4 +1

x = +5

and

x = -4 + 1

x = -3

7 0
3 years ago
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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
herman bought a sweater for $48.58 .There was a tax of $3.60 on the sweater . What was the total cost of the sweater?​
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5 0
3 years ago
Read 2 more answers
In the past you paid $800
soldier1979 [14.2K]
Hello! $800 was the past amount for rent and now it's $900. 900 - 800 is 100. that's a $100 difference. In order to find the percent increase in the rent, we can write and sovle a proportion. It would be set up as change/original = x/100, where change is difference between two numbers and original is the previous price. It would be set up like this:

100/800 = x/100

Let's crossmultiply the values. 100 * 100 is 10,000. 800 * x is 800x. That makes 10,000 = 800x. Now, divide each side by 800 to isolate the x. 800x/800 cancels out. 10,000/800 is 12.5 or 12.5%. Let's check this by multiplying by 112.5%. 800 * 112.5% (1.125) is 900. That's what we're looking for! There. x = 12.5%. The percent increase is 12.5%.


5 0
3 years ago
Read 2 more answers
H(x) = x + 1 k(x) = x - 2 (h + k)(2) =​
barxatty [35]

h(x) = x + 1

k(x) = x - 2

_________________________________

(h + k)(x) = h(x) + k(x)

(h + k)(x) = (x + 1) + (x - 2) \\

(h + k)(x) = x + 1 + x - 2

(h + k)(x) = 2x - 1

(h + k)(2) = 2(2) - 1

(h + k)(2) = 4 - 1

(h + k)(2) = 3

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