harameyonce
contestada

Can somebody please help me with these four math questions?

1. The length of a rectangle is 15 ft and its width is 10 ft. What is the effect on the area of the rectangle when all of its dimensions are multiplied by 1/5?

2. The surface area of a sphere is 100π cm². What is the volume of the sphere?

3. A hotel is in the shape of a square pyramid. Each side of the base is 183 m long and the height is 110 m. What is the volume of the pyramid?

4. △BCD ​ is a right triangle. The length of the hypotenuse is 18 cm. The length of one of the legs is 14 cm. What is the length of the other leg?


Thank you to anyone who helps!

Respuesta :

zoryzinzi
For question 4, it would be a^2+b^2=c^2. So you would set up the equation as a^2+14^2=18^2. the third side would equal approximately 23cm.
debambarish2013
1.Area of rectangle=150 sq.feet
New length=15/5=3 feet
New breadth=10/5=2 feet
New area=15 sq.feet
∴Area is decreased by 135 sq.feet.

2. TSA of a sphere =4πr²=100π
⇒4r²=100
⇒r²=25
⇒r=5 cm
Volume=4/3πr³
=4/3×3.14×125
=392.5 cm³

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