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frutty [35]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

In my knowledge

x = 24²+7²

= 576+49= 625

x= sqroot of 625

x = 25 (By Pythagoras Theorem)

Hope it helps

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A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
kkurt [141]
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
3 0
3 years ago
A paint store sells exterior paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for
VLD [36.1K]
The total price for the gallons of paint will be 35.75p

The total price for the rollers will be 6r

So the equation if the customer have 190 will be
price for gallons of paint + price for rollers = 190
35.75p + 6r = 190
<em>(This is the equation)</em>
3 0
3 years ago
Elvin read 4/7 of the pages in his book. He has 226 pages left to read. How many pages has he read already?
Brut [27]

Answer:

he has read 129 pages


8 0
3 years ago
Is 4/5 a solution of x&lt;2?
krok68 [10]
Yea it is.4\5 is greater than 2
5 0
3 years ago
Read 2 more answers
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