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Sauron [17]
3 years ago
5

A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What's the height if the prism?

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer: For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Step-by-step explanation:

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Blake bought a coat on sale for 30% off the retail price. If he paid $130, what was the original retail price?
Y_Kistochka [10]
$169, you do 10% and times it 3 times to get 30 then add 9
6 0
3 years ago
Solve this system of equations by elimination:<br><br> 8x+9y=48<br> 12x+5y=21
Olin [163]

Answer:

Let's solve your system of equations by elimination.

8x+9y=48;12x+5y=21

Steps:

Multiply the first equation by 5,and multiply the second equation by -9.

5(8x+9y=48)

−9(12x+5y=21)

Becomes:

40x+45y=240

−108x−45y=−189

Add these equations to eliminate y:

−68x=51

Then solve−68x=51for x:

−68x /−68 = 51 /−68  (Divide both sides by -68)

x=  −3 /4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+9y=48

Substitute

−3 /4

8x+9y=48:

8( −3 /4 )+9y=48

9y−6=48 (Simplify both sides of the equation)

9y−6+6=48+6 (Add 6 to both sides)

9y=54

9y /9  =  54 /9  (Divide both sides by 9)   y=6

<em><u>Answer:  x=  −3 /4  and y=6</u></em>

Hope This Helps!  Have A Nice Day!!

7 0
3 years ago
Find the area of the figure. <br><br> A = <br><br> Is it m, m2, or m3
enot [183]

Answer:

348 m^2

Step-by-step explanation:

The figure is made up of a rectangle 24 m by 12 m, and a triangle with a 24 m base and a 5 m height.

A = LW + bh/2

A = 24 m * 12 m + (24 m)(5 m)/2

A = 288 m^2 + 60 m^2

A = 348 m^2

5 0
3 years ago
Solve the inequality 6x 5<br><br> x 3<br><br> x&lt;5
ELEN [110]

Answer:

375

Step-by-step explanation:

7 0
3 years ago
Find the sum. Express your answer in simplest form.
Marina86 [1]

Answer:

\frac{10x^2+3}{y^2+4}

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have \frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}

==> remove parenthesis and apply signs

\frac{x^2+5+4x^2-2}{y^2+4}

==> simplify numerator by combining like terms

\frac{10x^2+3}{y^2+4}

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0
2 years ago
Read 2 more answers
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