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Romashka-Z-Leto [24]
3 years ago
10

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

.
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
<span>Solution:

We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c 
</span>volume of the prism = v = 2058 cm³

Use: c = (3x)(x)
c = 3x² 

Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7

a = 3x
a = 3(7)
a = 21 

b = x 
b = 7

h = 2x
h = 2(7)
h = 14

c = 3x²
c = 3(7)²
c = 3(49)
c = 147

a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²

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Determine the quotient of 2/3 divided by 4 using a visual model. Show me how..,
azamat
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The formula for the nth square number is S_n = n^2. Use the formula to find the 11th square number​.
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121.

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4 0
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Find the value of x and simplify completely.
jok3333 [9.3K]

Answer:

<h2>x=9√10</h2>

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

\frac{leg}{part}  =  \frac{hypotenuse}{leg}  \\ or \:  \frac{x}{27}  =  \frac{3 + 27}{x}  \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \:  {x}^{2}  = 810 \\ or \:  {x}^{2}  = 81 \times 10 \\ or \:  {x}  =  \sqrt{81 \times 10}  \\ or \: x =  \sqrt{81}  \times  \sqrt{10}  \\ or \: x =  \sqrt{ {(9)}^{2} }  \times  \sqrt{10}  \\  \: x = 9 \sqrt{10}

Hope this helps...

Good luck on your assignment..

7 0
3 years ago
BCDE is a parallelogram. What is the measure of ∠BEC? Enter your answer in the box. ° A parallelogram B C D E. Side E D is the b
Elenna [48]

Solution:

In Parallelogram B CDE

BC= DE, BC ║DE

CD = BE , CD ║BE

Also, ∠B=∠D and ∠C=∠E →→In a parallelogram opposite sides are equal and parallel, as well as opposite angles are equal.Diagonals Bisect each other.

∠B= 60° , ∠C ED= 40°

CE is a transversal and BC║DE.

∠CED=∠BCE = 40° →→Alternate interior angles

In Δ BCE

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60° + 40° + ∠ B E C= 180°

100° + ∠BEC=180°

∠BEC= 180° -100°

∠BEC= 80°



3 0
3 years ago
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