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Lubov Fominskaja [6]
3 years ago
15

Algebra 1 help please!

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

x=46 and y=45

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is x+y=91. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is x-y=1. Now, putting those two together for the system of equations, it's easiest to add them. The result will be 2x=92 which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

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Help pls! It’s due soon
Juliette [100K]

Answer:

x1 = -8 and x2 = 9?

6 0
3 years ago
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Find the value of x in the isosceles triangle​
Ne4ueva [31]

Answer:

10

Step-by-step explanation:

Seeing the 5 12 13 triple you get 1/2x=5 so

x=10

4 0
3 years ago
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
2 years ago
WORTH 19 POINTS!!
marta [7]
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and  a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum.  You also know the amplitude has to be 10 since 18+2=20 and 20/2=10.  We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.

lets start of with a regular cos(x) graph.  This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.

-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
 
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.

-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.

Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.  

I hope this helps.  Let me know if anything is unclear.
8 0
3 years ago
A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that
bazaltina [42]

Answer:

=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568}  = .00081

Step-by-step explanation:

5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}

4 0
2 years ago
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