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Mariulka [41]
3 years ago
5

How many solutions does x2 - 10x = -25 have?

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

To solve, first add 25 to both sides to get

{x}^{2}   - 10x + 25 = 0

Then factor to get

(x - 5)(x - 5) = 0

x - 5 = 0

x = 5

There is only one solution, x = 5.

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What is the measure of the third angle in the similar triangles below?
pashok25 [27]

Answer:

65°

Step-by-step explanation:

All triangles equal 180 degrees. So just subtract the other values.

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The area of the larger circle is??
nevsk [136]

radius of small circle = 16 m

radius of large circle is doubled so it will be 32 m


Area of the larger circle = π x 32^2 = 1,204π m^2


answer

1,204π m^2

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert
andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of ​​the circular sector using the following equation.(c in the second attached image)

A=\frac{R^2}{2} (\alpha -sin\alpha )

\alpha =2arccos(\frac{d}{R})

3. observing the attached images we replace the values ​​in the equations and find the area of ​​the circular sector, remember that you must transform the angle to radians

\alpha =2arccos(\frac{5}{7})=88.83

A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2

4.we calculate the area of ​​the total circle (At), then subtract the area of ​​the circular sector (Ac) to find the area occupied by water (Aw)

At=\frac{\pi }{4} (14ft)^2=153.93ft^2

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of ​​the water over the total area of ​​the tank

\frac{116.36}{153.93} *100=75.6

percentage of the total capacity is 75.6%

3 0
3 years ago
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yuradex [85]

Answer:

38=7x-y

Step-by-step explanation:

standard form= Ax+By+C

(y-3=7(x-5))

(y-3=7x-35)+3 to both sides

(y=7x-38) +38 to both sides

(y+38=7x) -y to both sides

38=7x-y

you have to move the 38 and y because if you moved the x value, than A becomes negative and it can't be in standard form

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For the first football game of the season, 62732 fans attended. The number of fans at the second game was 469 morw than at the f
ziro4ka [17]
There was 125,933 fans that attended both games.
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