MATHEMATICS COLLEGE

A rectangle with an area of 324 square meters has a length and width in a ratio of 4:1. What are the length and width?

Answers

Answer 1
Answer: Here, 4x * x = 324
Now, we need to calculate that unit of x value as follows:
4x * x = 324
4x² = 324
x² = 324/4
x² = 81
x = √81
x = 9
So, 4x = 4(9) = 36

So, dimensions of rectangle would be: 36 × 9

Hope this helps!

Related Questions

Identify the distance, to the nearest tenth, between C(−7,−9) and J(6,2).
3 cards are drawn from a standard deck of 52 playing cards. How many different 3-card hands are possible if the drawing is done without replacement?
Frans Summer job pays $200 per week. The circle graph shows how she spends the $200.50%savings10%movies15%other10%books15%clothingHow many dollars of Fran's weekly pay is spent on books and clothing?OA. $25OC. $50O D. $100OB. $30
A rocket is launched upward so that its distance, in feet, above the ground after t seconds is represented by the function below. What is its maximum height? h(t)=−16t2+320t
Suppose a square garden represented by 16x² ft2.a. What is the length of each side?----- -b. What is the perimeter of the garden?--------------c. If each side was increased by 5 feet what would be the new perimeter?

Jake bought 4.08 pounds of apples he then bought 2.19 pounds of oranges how many pounds of fruit did he buy altogether? (SHOW YOUR WORK) place value charts (ONES).(TENTHS) (HUNDREDTHS) (THOUSANDS) also please dont give wrong answers im bad at math ❤️

Answers

Answer:

6.27 lbs

Step-by-step explanation:

An attendant at a car wash is paid according to the number of cars that pass through. Suppose that following payments are made with the following probabilities: Payment Probability $7 0.18 $9 0.08 $11 0.09 $13 0.16 $15 0.08 $17 0.41 Find the standard deviation of the attendant's earnings.

Answers

Answer:

E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22

And we can find the second moment with this formula:

E(X^2) = \sum_(i=1)^n X^2_i P(X_i)

And replacing we got:

E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72

And we can find the variance like this:

Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516

And the deviation would be:

Sd(X)= √(14.9516)= 3.867

Step-by-step explanation:

For this case we have the following dataset given:

Payment     $7     $9     $11    $13    $15  $17

Probability 0.18  0.08  0.09  0.16  0.08   0.41

For this case we can calculate the mean with this formula:

E(X) = \sum_(i=1)^n X_i P(X_i)

And replacing we got:

E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22

And we can find the second moment with this formula:

E(X^2) = \sum_(i=1)^n X^2_i P(X_i)

And replacing we got:

E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72

And we can find the variance like this:

Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516

And the deviation would be:

Sd(X)= √(14.9516)= 3.867

What is the purpose of proof in mathematics?

Answers

The mathematical proofs are useful to show that a mathematical statement is true. Generally a mathematical proof use other statements like theorems, or axioms. Also mathematical proofs are useful to know if the development of a theoretical process in other areas like physics is well done. Other thing that is useful of the proofs in mathematics is that it use a formal language  with symbols that minimize the ambiguity and make it universal.

Helpp please with all four questions

Answers

Answer:

Picture 1:

Area of cemicircle 2 π = 6.28 sq.m (approximately)

Total area of figure = 24+6.28= 30.28 sq.m (approximately)

Picture 2:

area of rectangle = 256 sq.m

Area of triangle = 32 sq.m

Total area of figure = 288 sq.m

Picture 3:

Area of top rectangle = 2 sq ft

Area of bottom rectangle = 15 sq ft

Total area of figure = 17 sq ft

Picture 4:

Area of rectangle = 28 sq ft

Area of triangle = 6 sq ft

Area of shaded region = 22 sq ft

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle?

A.
25°

B.
55°

C.
85°

D.
125°

Answers

a quadrilateral measures 360°. let's let "x" stand for the fourth angle
360°= 60°+95°+150°+x
360=305+x
360-305=x
x=55

Please Help !!!The line above goes through points (-5,5) and (0,3). What is the slope-intercept form of the equation of the line above?


A. y = (-5/2)x - 3

B. y = (-2/5)x + 3

C. y = (-2/5)x - 3

D. y = (2/5)x + 3

Answers

Answer:

B

Step-by-step explanation:

The equation we must find is in y = mx + b form. We are given that it intercepts (0,3), so the y-intercept it 3 and b = 3. We can find the slope with the two points we are given: m = (3-5)/(0(-5)) = -2/5. Substituting these values, we find: y = (-2/5)x + 3

Other Questions
6910Geometric Proof #14x = -24Names: statements & Reasons Bank:CBx + 183x + 25Division P.O.E4x + 43 = 19Given: AC = 19Prove: x = -6gure not to sale4x = 62StatementsReasonsGivenSegment AdditionPostulateAC = 19AB = x + 18Definition of MidpointDefinition of CongruentSegmentsGivenBC = 3x + 25GivenAddition P.O.E.x + 18 + 3x + 25 = 19AB + BC = ACAB = BCSubstitutionCombine Like TermsSubtraction P.O.E.x = -6Click to add speaker notes
A trust is an agreement whereby a person or bank manages the estate according to the specific directions of the owner of the estate. True False
The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side​
3/4x = 1/5 .x = Pls help I will give brainliest