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3 years ago

5

How many 2/3 pieces can you cut from a 10 foot long board

1 answer:

ElenaW [278]3 years ago

7 0

I told you in my answer that I was writing that you have to remember that in math any whole number converted to a fraction is over 1. So make the 10 a 10/1.

10/1 divided by 2/3 copy change flip.

10/1 x 3/2 multiple across 30/2 divide that answer is 15. You can cut 15 boards that are 2/3 in length from a 10 foot long board.

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PLEASE HELP! 100 POINTS!!+ BRAINLIEST!!

Karolina [17]

<em>Height of the pole (DC) is 57.2709m</em>

Step-by-step explanation:

Here, Wire DA and Wire DB supports a pole.

Given that Angle, A=54 , B= 72.

Also, AB = 23m

Now, Taking triangle BCD and Using basic trigonometry

Height of pole H = DC

$TanB = \frac{DC}{BC}$

$BC= \frac{DC}{TanB}$

Now, Taking triangle ACD and Using basic trigonometry

$TanA = \frac{DC}{AC}$

$AC= \frac{DC}{TanA}$

From figure, we know that

AC = AB + BC

AC - BC = AB = 23

Replacing values of AC and BC

$\frac{DC}{TanA} - \frac{DC}{TanB}=23\\DC(\frac{1}{TanA}-\frac{1}{TanB})=23$

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763

$DC (\frac{1}{1.3763} - \frac{1}{3.0776})_= 23$

$DC ( 0.7265-0.3249)= 23$

$DC ( 0.4016 )= 23$

$DC = 57.2709$

Thus, Height of thepole is 57.2709m

5 0

3 years ago

Which expression uses numbers and symbols to represent the statement “subtract 6 from 11, double the difference, and then add th

Xelga [282]

Answer: 2(11-6) + 3/4

Step-by-step explanation:

2(11-6) + 3/4

8 0

3 years ago

What would be the coordinates of A(−9,12)

hammer [34]

Answer:

(12, 9)

Step-by-step explanation:

I am assuming it was rotated about the origin.

180 degrees clockwise would give the point ((9, 12).

Then if this point is roated 90 degrees anti-clockwise it would end up at the point (12,9)

4 0

3 years ago

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ryzh [129]

Answer:

Step-by-step explanation:

Hello,

$\dfrac{p}{q}*\dfrac{q}{p}=1=(2x+2)(2-x)\\\\ 4x-2x^2+4-2x=1\\\\ -2x^2+2x+4-1=0\\\\ -2x^2+2x+3=0\\\\$

There are two solutions

$\Delta=b^2-4ac=2^2+4*2*3=4+24=28=7*4\\x_1=\dfrac{-2+\sqrt{7*4}}{-4}=\dfrac{-2+2\sqrt{7}}{-4}=\dfrac{1-\sqrt{7}}{2}\\x_2=\dfrac{1+\sqrt{7}}{2}\\$

Hope this helps

5 0

3 years ago

Solve 3x - 5 = 16. <br> 9<br> 8<br> 6<br> 7

Alex17521 [72]

Answer:

7

Step-by-step explanation:

3(7)=21-5=16

7 0

3 years ago

Read 2 more answers