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zvonat [6]
4 years ago
11

A right triangular prism is shown. A right triangular prism is shown. The right triangles have sides with lengths 15 and 8. The

hypotenuse has a length of 17. The height of the prism is 15. What is the volume of the prism? 900 cubic units 1,020 cubic units 1,800 cubic units 2,312 cubic units
Mathematics
2 answers:
marta [7]4 years ago
6 0

Answer:

900 cubic units

Step-by-step explanation:

took the test

Viktor [21]4 years ago
4 0

Answer:

900 cubic units

Step-by-step explanation:

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Which of the following is equivalent to 6x 2 + x - 12 ?
bagirrra123 [75]
6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\\\\=(2x-3)(3x+4)\\\\other\ method:\\\\6x^2+x-12\\a=6;\ b=1;\ c=-12\\\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{289}=17

x_1=\frac{-1-17}{2\cdot6}=\frac{-18}{12}=-\frac{3}{2};\ x_2=\frac{-1+17}{2\cdot6}=\frac{16}{12}=\frac{4}{3}\\\\6x^2+x-12=6(x+\frac{3}{2})(x-\frac{4}{3})=2\cdot3(x+\frac{3}{2})(x-\frac{4}{3})\\\\=2(x+\frac{3}{2})\cdot3(x-\frac{4}{3})=(2x+3)(3x-4)
4 0
3 years ago
Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
9(p−4)=18<br> p =<br> i will never learn
melamori03 [73]
Lol ill show u
do distrib. property first) 9p-36=18
add -36 from both sides) 9p-36+36=18+36
so it looks like this so far: 9p=54
now divide 9 from both sides) 9p/9=54/9
and final answer is: p=6
3 0
3 years ago
Read 2 more answers
A ship sails 20 km west then 35 km south. Calculate how far it
amid [387]

Answer:

40.3

Step-by-step explanation:

Use pythagoras theorem, a^2 + b^2 = c^2

400 + 1225 = 1625

sqrt of 1625 = approx 40.3

4 0
3 years ago
Read 2 more answers
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
AveGali [126]
192 is the answer definately
7 0
3 years ago
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