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blondinia [14]
3 years ago
15

A swimming pool is open for 7 1/2 hours during a day. The pool keeps one lifeguard on duty at a time and each life guards shift

is 1 1/2 hours long. How many shifts are there per day
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

5 shifts

Step-by-step explanation:

7 1/2= 7.5

1 1/2= 1.5

7.5/1.5= 5

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Since 308 people can visit each day, and there's 8 shows each day, we just multiply 308 by 8.

308*8 = 2464 people.

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Which ratios form a proportion?
wlad13 [49]
Only the first ratio
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Solve using the quadratic formula 1
Alex777 [14]

Answer:

Step-by-step explanation:

Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved.  I will assume that the problem is actually x^2 + 8x + 15 = 0.

The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4.  Because the discriminant is positive, we know that there are two real, unequal roots.

Continuing with the quadratic formula and knowing that the discriminant is 4, we get:

      -8 ± √4           -8 ± 2

x = ---------------- = --------------- , or x = -2 ± 1:  x = -3 and x = -5

          2                       2

5 0
3 years ago
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. Determine the​ flag's length a
scoundrel [369]

Answer:

Width  = 50ft

Length = 160ft

Step-by-step explanation:

Given parameter:

The perimeter of the flag is 420ft

Unknown:

Length of flag  = ?

Width of flag  = ?

Solution:

To solve this problem;

 Perimeter of the flag is given as:

  Perimeter  = 2(Length + width)

Length  =110 + Width

  Now insert the parameters:

     420  = 2(110 + Width + Width )

   let w = width

     420  = 2(110 + 2w)

     420  = 220 + 4w    

      4w  = 200

         w  = 50ft

Length  = 110 + 50 = 160ft

6 0
3 years ago
Solve ABC with B = 122°, b = 18 feet and c = 12 feet.
romanna [79]

Answer:

C = 34 degrees, A=8.6 feet

Step-by-step explanation:

Use sine law:

\frac{sin122}{18} =  \frac{sinC}{12}

sin^{-1} [12(\frac{sin122}{18})]=  C

C = 34 degrees

Now that you have the C and B degrees, solve for A degrees

180 - 34 - 122 = 24 degrees for angle A

Same way as above use sine law to find the side for a now:

\frac{18}{sin122} =  \frac{A}{sin24}

A=8.6 feet

** Thing to note is that you can rearrage the sine formula to have either the legnth or the angle on top. It's pretty straightforward, find the angles you do have and then work from there. If sine law doesnt work with your example, use cosine law. and work backwards. Wish you luck.

5 0
3 years ago
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