1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bezzdna [24]
3 years ago
7

the length of a rectangle is 7 yd less than three times the width, and the area of the rectangle is 66 yd(squared). find the dim

ensions of the rectangle.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0
So legnt=l
width=w
l=-7+3w
l=3w-7

area=66
area=legnth times width or
area=lw

subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))

(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this

w-6=0
add 6
w=6

width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11


width=6
legnth=11

You might be interested in
Need help with the rest of my problems
mariarad [96]
H) 58.48 - Instruments
I) 8.46 - Are
J) .38 - Difficult
L) 7.07 - Play
N) 22.222 - Others
O) 36.3 - Are
P) 0.18 - Cymbal
7 0
3 years ago
Math help, (again) <br><br> These are mainly for corrections
e-lub [12.9K]

The answer would be the last option. :)

4 0
3 years ago
Read 2 more answers
If Raj randomly chooses a point in the square below, what is the probability that point is not in the circle? Assume that pi = 3
hodyreva [135]

Answer:

49.7%

Step-by-step explanation:

A cdircle is located within a square.

<u>Area of the circle</u>

Area = \pir^{2}, where r = 4 units.

Area Circle = 50.3 units^2

<u>Area of the square</u>

Area = l*w or l^2 for a square, since l = w

Area = (10 units)^2

Area = 100 units^2

<u>Area in the square but outside the circle</u>

This is the difference [Square minus Circle Areas]

Square minus Circle Areas = 100 - 50.3  or <u>49.7 units^2</u>

<u>Probability</u>

The probability of picking a point in the square that is not in the circle is the ration of the two areas:  <u>[Outside Circle/Square]x100%</u>

<u></u>

<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%

<u></u>

6 0
1 year ago
What is 10 to the negative 6th power?
Ivanshal [37]

Answer:

0.000001

Step-by-step explanation:

It is because 10 is represented as just like 10 and then in a certain place.  And then the negative means it is to the right of the decimal. 6th power means the 6th place. So, basically it means, 10 in the 6th to the right place which is 0.0000010. You do not need the last zero because there is no value after that, so 0.000001.

Sorry if I am wrong! Can I be brainlieest? TYSM

4 0
3 years ago
Can someone please explain step by step on how I can get the answer? If so I’ll mark you brainliest
krok68 [10]

Answer:

3

Step-by-step explanation:

18 factors to 2, 3, 3

45 factors down to 5,3,3

6 0
2 years ago
Other questions:
  • Graph the linear equation find three points that solves the equation 2y=5x+11
    13·1 answer
  • The parabola whose equation is y^2 = 12x has directrix
    14·2 answers
  • Where is tge vertex of the graph of y=-x^2
    8·1 answer
  • How can i get help with alegbra 2
    13·2 answers
  • A roller of radius 14.25 cm turns at 10 revolutions per second. What is the linear velocity of the roller in meters per second?
    10·2 answers
  • Peter needs to wash 20 plates, 30 pieces of silverware, and 10 cups. Then he
    8·2 answers
  • Can you explain it and help me out please​
    5·1 answer
  • Solve problem in photo 8th math
    9·2 answers
  • NEED HELP ASAP
    11·2 answers
  • F(x)=-∣x∣2-3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!