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
bija089 [108]
3 years ago
7

The area of a rectangle is 70 yd^(2) and the length of the rectangle is 11 yd less than three times the width. find the dimensio

ns of the rectangle

Mathematics
2 answers:
Orlov [11]3 years ago
4 0
Pretty sure this is the answer, hope this helps :')

Vikki [24]3 years ago
3 0
◆ AREA OF 2-D FIGURES ◆

let \: the \: length \: of \: rectangle \: be \: l  \: yd\:  \\  \\ and \: width \: of \: rectangle \: be \: b  \: yd\\  \\ now \: , \: its \: given \: that \: , \\  \\ length \: of \: rectangle \: is \: 11 \: yd  \\ \: less \: than \: 3 \: times \: the \: width \: , \\  \\ l = 3b - 11 \:  \:  \:  \\  \\ area \: of \: rectangle \: = length \times width \\  \\ 70 = (3b - 11) \times b \\  \\ 3 {b}^{2}  - 11b - 70 = 0 \\  \\ 3 {b}^{2}  - 21b + 10b - 70 = 0 \\  \\ 3b(b - 7) + 10(b - 7) = 0 \\  \\ (3b + 10)(b - 7) = 0 \\  \\ solving \: , \: we \: get \: , \\ b =  \frac{ - 10}{3}  \:  \:  \:  \: or \:  \:  \: b = 7 \\  \\ side \: of \: any \: shape \: can \: not \: be \: negative \: , \\  \\ therefore \: , \\  \\ width \:  = 7 \: yd  \:  \:  \:  \:  ans.\\  \\ length \:  = 10 \: yd \:  \:  \: ans.
You might be interested in
If we expect to get a number less than 3, sixty times rolling a number cube, how many times would we have rolled? a.60 b.180 c.3
77julia77 [94]

Answer:

c. 30

Step-by-step explanation:

60/2=30 can i get brainliest?

4 0
2 years ago
0.325 is 100 percent. <br><br>a equal to <br>b greater than <br>c less than ​
Pani-rosa [81]

Answer: C less than

Step-by-step explanation: 0.325< 100

8 0
2 years ago
In a​ state's Pick 3 lottery​ game, you pay ​$1.15 to select a sequence of three digits​ (from 0 to​ 9), such as 966. If you sel
m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0
2 years ago
Figure TUVS is a parallelogram.
poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

5 0
2 years ago
(Please help :) Look at the sequence of numbers in each question and write the expression using n (find the nth term, eg, 3n+6)
siniylev [52]

Answer:

Tricky

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed for diffe
    8·2 answers
  • ILL GIVE YOY BRAINLIST *have to get it right * What is the slope of the line shown in the graph?
    12·1 answer
  • A box contains 1 plain pencil and 4 pens. A second box contains 6 color pencils and 2 crayons. One item from each box is chosen
    12·1 answer
  • A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual ar
    7·1 answer
  • Seven out of ten people say they will vote for Mrs. Meekus . If 5,500 people vote,how many are likely to vote for Mrs.Meekus​
    15·1 answer
  • Lakeisha spent $4.57 on color and black-and-white copies for her project. She made 7 more black-and-white copies than color copi
    10·1 answer
  • Alejandro decided on purchasing a $160,000 home. At closing he brought a check for $4940. The closing costs were as follows:
    14·1 answer
  • Jinny is selling bracelets for $2.00. So far, she has earned $180.00. She needs to earn more than $228.00 in order to meet her g
    14·2 answers
  • Write an equation of the line below.
    7·1 answer
  • What is the equation of the graph?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!