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KiRa [710]
3 years ago
13

a piece of wood that measures 175 in. long was cut into three pieces. the second piece of wood is 3 in. more than 3 times the le

ngth of the first piece of wood. The third piece of wood is 8 in. less than 4 times the length of the first piece of wood. What is the length of the longest piece of wood?
Mathematics
2 answers:
borishaifa [10]3 years ago
5 0

Answer:

61inchs is the longest piece

inessss [21]3 years ago
3 0

Answer:

The correct answer is 82

Step-by-step explanation:

1st piece=x

2nd piece=3x+3

3rd piece=4x-8

Combine like terms:

x+3x+4x=8x

3-8= -5

8x-5=175

8x-5+5=175+5

8x=180

x=22.5

1st piece=22.5 in

2nd piece=70.5 in

3rd piece= 82

3rd piece is the biggest, so the correct answer is 82

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Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0
3 years ago
Brad goes to the deli. He sees that chicken costs $2.50 per pound. He wants to buy 1/2 pound of chicken. He pays with a $10 bill
andreyandreev [35.5K]

Answer:

8.75

Step-by-step explanation:

first u will find out how mutch he wants he wants 1/2 so u will divide 2.50 by 2 and get 1.25. then you will do 10.00

                                                 -1.25

                                                ---------

                                                   8.75

i hope this helps ;)

6 0
3 years ago
Read 2 more answers
686.924 rounded to the nearest ten
bixtya [17]
690 because 86 is rounded up to 90
8 0
3 years ago
Read 2 more answers
If a box of 100 pencils cost $4.75, what should you expect to pay for 225 pencils?
frez [133]

the answer is 10.6875 you divide 4. 75 and the number 100 them multiply your answer by 225  

glad to help any time





5 0
3 years ago
Long division of 764 divided by 4, must show work
castortr0y [4]
764 divided by 4 is
141

4 can go into 7 once with the remander of 1 then u bring down ur 6 and it gives u 16. 4 can go into 16 4 times without any remanders and thenu are left with 4. 4 goes into 4 one time and then u get the answer 141
6 0
3 years ago
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