Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer:
C.
Step-by-step explanation:
Volume of cylinder = πr²h
= (3.14)(4)(0.75)
= 9.4
Since she'll fill it half so
Amount of water to be filled = 4.7
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
Answer:
2890 sq. meters
Step-by-step explanation:
The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.
Hope this helped! :)
Answer:
Isnt it 2?
Step-by-step explanation: