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user100 [1]
2 years ago
15

What is 10 1/2 divided by 2 1/4

Mathematics
1 answer:
victus00 [196]2 years ago
7 0

Answer:

4.666666667 or 4.6_ (repeating decimal)

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if 200 volts comes from 110 turns on a coil, give the number of turns on a coil that yields 154 volts
grigory [225]

Answer:

23.7

Step-by-step explanation:

6 0
3 years ago
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0
2 years ago
Solve the equation 3(x+1)+2x=1/2(10x-14) <br>Plz show the steps
Umnica [9.8K]

Answer:

x=-2

Step-by-step explanation

1) Remove () and Rewrite

  • 13x+13+2x=1/2x2(5x-7)

2) Collect Like Terms

  • 15x+13=5x-7

3) Move Terms

  • 15x-5x=-7-13

4) Divide Both Sides

  • 10x=-20

ANSWER IS x=-2

8 0
2 years ago
Read 2 more answers
If I set aside $5,000 in the bank to earn 6% annually, how much would I have after 5 years?
aleksley [76]

Answer:

$1,500

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Writing Trig Ratios.
notsponge [240]

Answer:

The ratios are as follows for the given angle:

sineX=opposite/hypotenuse

cosineX=adjacent/hypotenuse

tangentX=opposite/adjacent

Insert the appropriate values for each:

7.) sinZ=24/40

8.) sinC=14/50

9.) cosZ=24/30

10.) tanC=27/36

11.) cosZ=12/15

12.) cosC=27/45

8 0
3 years ago
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