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Sphinxa [80]
2 years ago
7

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

6.25 } C) {5/8, 4.5, -6.25 } D) {24} E) {-15,24 , 4.5, -6.25}​
Mathematics
1 answer:
ratelena [41]2 years ago
7 0
The answer to this question is B
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What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


6^2=a^2+3^2


6^2-3^2=a^2


36-9=a^2


27=a^2


We take the square root of both sides,

\sqrt{27}=a


\sqrt{9\times3}=a


\sqrt{9} \times \sqrt{3}=a


3\sqrt{3}=a


Method 2 Using Trigonometry

sin(60\degree)=\frac{a}{6}

6sin(60\degree)=a


a=6\times \frac{\sqrt{3}} {2}


a=3\sqrt{3}






6 0
2 years ago
Read 2 more answers
Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Tris
mr Goodwill [35]

Answer:

$113.50

Step-by-step explanation

  1. add $15.60 + $29.80 = $45.40
  2. multiply $45.40 x 2.5 = $113.50

7 0
2 years ago
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
kotegsom [21]

Answer:

835.49

Step-by-step explanation:

selling price = original cost + markup value

We need to find the markup

markup = original cost * markup percent

             = $784.50 * 6.5%

           = $784.50 *.06.5

           =50.9925

Rounding to the nearest cent

            =50.99

selling price = original cost + markup value

                     =784.50+50.99

                      835.49

6 0
1 year ago
?Order: Add 125 mg of morphine sulfate to DW 250 mL stat. and infuse at 0.005? mg/kg/min.
Elis [28]

Answer:

A. 57 mL/hr

Step-by-step explanation:

Mass of morphine sulfate = 125 mg

DW = 250 mL

Rate of infusion = 0.005 mg/kg/min

Converting to mg/kg/hour

0.005 mg/kg/min×60 = 0.3 mg/kg/hour

For the patient who weighs 95 kilograms

0.3 mg/kg/hour×95 = 28.5 mg/hour

For the mass of 125 mg of morphine sulfate

1 mg

250/150 = 2 ml/mg

Rate of infusion

28.5×2 = 57 mL/hr

∴ Rate of infusion is 57 mL/hr

5 0
2 years ago
A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.
antoniya [11.8K]
To me: given that the juice is sugar free means that I can ignore the 3 sugar apple juices and the 10 sugr grape juices.

Therefore the field of drinks is 14 sugar free drinks and the changes that it is apple juice, is 9:14 or 9/14.

If, on the other hand, the problem is saying that the juice must be sugar free and also apple, that would be 9/27 or 1/3
8 0
2 years ago
Read 2 more answers
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