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2 years ago

15

Find all solutions to the equation with 0≤α≤2π. Give an exact answer if possible, otherwise give value(s) of α accurate to at le

ast four decimal places.
8tan(α)+9=6

1 answer:

Nady [450]2 years ago

6 0

Please, find the solution atached in JPG format

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a un baile asistieron 270 personas.si los boletos de costaban 100 pesos y los de dama 80 pesos y se recaudaron 24 800 pesos por

ser-zykov [4K]

The question in English
<span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?

let
x---------> the number of men
y--------> the number of women

we know that
x+y=270----> x=270-y-----> equation 1
100x+80y=24800-------> equation 2
substitute equation 1 in equation 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

the answer is
the number of men ---> 160
the number of women----> 110

the answer in Spanish

</span>hagamos
x--------->la cantidad de hombres
y--------->la cantidad de mujeres

Sabemos que
x+y=270----> x=270-y-----> ecuacion 1
100x+80y=24800-------> ecuacion 2
sustituimos la ecuacion 1 en la ecuacion 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

La respuesta es
la cantidad de hombres es 160
la cantidad de mujeres es 110

4 0

2 years ago

Inequality sentence <br> Six subtracted from w is greater than 15<br> 2.

Vika [28.1K]

Answer:

Ok hi

Step-by-step explanation:

4 0

2 years ago

Victor opened a savings account that earns 4.5% simple interest. He deposited $5, 725 into the account. What will his BALANCE be

mote1985 [20]

I’m not sure sorrry but i hope someone else can help u

8 0

2 years ago

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em> → <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9 → <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em> → <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

6 0

2 years ago

2. Three bells P, Q and R ring at intervals of 40, 48and 60 minutes respectively. If they ring together at 6.15 a.m. when will t

MAXImum [283]

They will ring again together at 10:15am. Because the common factor for 40, 48 and 60 is 240, which means 240 minutes, that equals to 4 hours. Hence 4 hours after 6.15am is 10.15am.

Hope this helps.

5 0

3 years ago