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kirill115 [55]
3 years ago
10

Need help please can you give answer with working out i can not answer as it is quite gard

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Step-by-step explanation:

\text{Given:}\\\\AB=3x-4\\AC=2x+12\\BC=7x-2\\AB:AC=1:2\Rightarrow(3x-4):(2x+12)=1:2\\\\\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\qquad\text{cross multiply}\\\\(3x-4)(2)=(2x+12)(1)\qquad\text{use the distributive property}\\\\(3x)(2)+(-4)(2)=2x+12\\\\6x-8=2x+12\qquad\text{add 8 to both sides}\\\\6x-8+8=2x+12+8\\\\6x=2x+20\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\6x-2x=2x-2x+20\\\\4x=20\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{20}{4}\\\\x=5

\text{Put the value of}\ x\ \text{to}\ AC\ \text{and}\ BC:\\\\AC=2(5)+12=10+12=22\\\\BC=7(5)-2=35-2=33\\\\AC:BC=22:33=\dfrac{22}{33}=\dfrac{22:11}{33:11}=\dfrac{2}{3}=2:3

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Anyway
2pi radians=360
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Rudik [331]

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6 0
3 years ago
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The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes. The hose at his next-door neighbor's house can fill a
mina [271]

Answer:

The time it would take them to fill 750 gallons

= 200 minutes or 3 hours 20 minutes

Step-by-step explanation:

Step 1 :

We calculate the rate at which the hoses fill for Andre and His neighbor

For Andre

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.

The rate is calculated as:

5 gallon/2 minutes

= 2.5 gallons/minute

For His neighbor

The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8

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= 10 gallon/8 minutes

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Step 2

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If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =

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Step 3

The time it would take them to fill 750 gallons =

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6 0
2 years ago
HURRY PLEASE!! I WILL GIVE BRAINLIEST
user100 [1]

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

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Answer:

2√3

Step by step Explanation:

=  >  \frac{ \sqrt{96} }{ \sqrt{8} }  \\  \\  =  >  \frac{ \sqrt{12 \times 8} }{ \sqrt{8} }  \\  \\  =  >  \frac{ \sqrt{12} \times  \sqrt{8}  }{ \sqrt{8} }  \\  \\  =  >  \sqrt{12}  \\  \\  =  >  \sqrt{4 \times 3}  \\  \\  =  >  \sqrt{2 \times 2 \times 3}  \\  \\  =  > 2 \sqrt{3}

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3 years ago
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