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Svetllana [295]
3 years ago
10

Find the volumes of Prism A and Prism B and then find the ratio of the volumes.

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0
Prism A 6x2x3=36
prism B 12x4x6=288
36/288. simplified would be 1/8
bearhunter [10]3 years ago
5 0
Prism A has a volume of 36 m
Prism B has a volume of 288 m
The ratio of there lengths is that for every 1m in prism A, there are 8 m in prism B
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In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
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In both cases,

AB^2=AD^2

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So we have

10.

(4x+7)^2=(6x-3)^2

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20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

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15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
Can someone please help me with these math problems please!
mr_godi [17]

Answer:

Step-by-step explanation:

8 0
2 years ago
What is the vertex on a<br> right angle
Pachacha [2.7K]

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Select the correct answer.
torisob [31]

Answer:

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Step-by-step explanation:

<u>Property of the odd function is:</u>

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<u>Same applies to the given function:</u>

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2 years ago
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Inessa [10]

Answer:

Answer: about 14

Work Shown:

Add up the values in the table:

170+135+150+145 = 600

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Assuming this ratio keeps up, we can multiply 0.4667 with 30 to get

30*0.4667 = 14.001 which rounds to 14

This represents the estimated number of drinks in the next 30 orders that are either lemonade or orange juice.

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Step-by-step explanation:

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