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nekit [7.7K]
3 years ago
13

A carton is 15 inches long ,10 inches wide and 12inches high.Mindy wants to wrap to wrap up the carton. What is the minimum area

of wrapping paper needed to cover the carton?
Mathematics
1 answer:
pantera1 [17]3 years ago
8 0
1800 wrapping paper i believe
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Is 6 a factor of 30 true or false
beks73 [17]

true 6x5=30 15x2=30 so forth

6 0
3 years ago
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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
3 years ago
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the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle ​
Semenov [28]

The radius of the circle is 3 cm.

<u>Step-by-step explanation:</u>

Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm

As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.

Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,

             (\text {Hypotenuse})^{2}=(\text {Height})^{2}+(\text {Base})^{2}

             (O A)^{2}=(O B)^{2}+(A B)^{2}

Substitute the given values in the above expression, we get

             (5)^{2}=(O B)^{2}+(4)^{2}

             (O B)^{2}=25-16=9

Taking square root on both side, we get

              Radius of the circle, OB = 3 cm

5 0
3 years ago
Triangle YES has sides YE=32cm and YS=42cm. Angle Y has a measure of 78 degrees. What is the measure of side SE?
KonstantinChe [14]
What kind of a triangle is it?
8 0
3 years ago
Sparky has a monthly cell phone plan that has a fixed charge of $15 per month plus $0.05 per text message. Sparky wants to spend
arsen [322]

Answer:

15 + 0.05x ≤ 50

Step-by-step explanation:

The cost needs to be less than or equal to 50. Thus, the equation would be

15 + 0.05x ≤ 50

4 0
3 years ago
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