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wlad13 [49]
3 years ago
13

A rectangle is dilated by a factor of 1/5. The area of the new rectangle is 4 square yards . What could be the dismension of the

original rectangle
Mathematics
1 answer:
katrin [286]3 years ago
4 0
 20 square yards is the answer
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15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

7 0
3 years ago
1. If $18,000 is invested at 6% compounded monthly, what is the amount after 7 years?
stira [4]
P = 18,000
R=6%
T=7 years

A = P ( 1 + 1 divided by r) raised to n
Substitute the numbers an u will fin the answer
8 0
3 years ago
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the
Alekssandra [29.7K]
After 1.4 seconds, t = 1.4.
h(t) = 150 - 9(1.4)
Multiply 9 by 1.4 to get 12.6. 
h(t) = 150 - 12.6 
Subtract 12.6 from 150 to get 137.4. 
h(t) = 137.4.
The height of the ball would be 137.4 after 1.4 seconds. 
Hope this helps!
3 0
3 years ago
Which proportion is NOT true?
Ira Lisetskai [31]

Answer:

I think its BD/FG=AD/EH.

8 0
2 years ago
Plz help me on this its my last question and im stuck on it
Minchanka [31]

i believe the correct answer is 163

4 0
3 years ago
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