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velikii [3]
2 years ago
3

4. Mary was filling up a form. 20 points

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0
Mary missed it by 252
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You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble. The original statue in V
vagabundo [1.1K]

Answer:

0.08 cubic feet.

Step-by-step explanation:

You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble.

The original statue in Vienna is 7 feet tall.

First we will convert this to inches as one relation is given in inches.

1 feet = 12 inches

7 feet = 12\times7=84 inches

Let the amount of marble used for 84 inches statue be = x

We can relate both the conditions in the following way:

\frac{10}{16} =\frac{84}{x}

10x=16\times84

10x=1344

x = 134.40 cubic inches

Now, 1 cubic inch = \frac{1}{1728} cubic foot

So, 134.40 cubic inches = \frac{134.40}{1728} cubic foot

= 0.0777 cubic feet rounding to 0.08 cubic feet.

6 0
2 years ago
Qing attached a dog ramp to her bed, which allows her dog to easily climb onto the mattress. The ramp is 48 inches long. The bas
geniusboy [140]
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.
4 0
2 years ago
Neptune’s average distance from the sun is 4.503 x 10e9 km. Mercury’s average distance from the sun is 5.791 x10e9 km.about how
Igoryamba

Answer:

77.76 times

Step-by-step explanation:

The average distance of Neptune  from the sun

= 4.503  ×  10 ⁹  k m .

and Mercury  =  5.791  ×  10 ⁷ k m .

Hence neptune is (  4.503  ×  10 ⁹) ÷ (5.791 × 10 ⁷  ) times farther from the sun than mercury

i.e.(  \frac{4.503}{5.791} )  × 10⁹⁻⁷ times

=   0.7776  ×  10 ² times

=   77.76  times.

4 0
2 years ago
A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east
crimeas [40]

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

 

vE = 20sin36º + 10 = 21.76 mi/h

 

vN = 20cos36° = 16.18 mi/h

 

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

 

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

3 0
2 years ago
Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A
Fittoniya [83]

Answer:

The rug will fit on the floor of her room

Step-by-step explanation:

The floor's area is given as 108

Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.

The rug is in the shape of a rectangle. The area of a rectangle is length times width.

Given length 10 and width 6, the area is:

Area of Rectangle = 10 * 6 = 60

Area of Rug = 60

Is 60 less than 108?? Yes, definitely!

The rug will fit on the floor of her room

8 0
2 years ago
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