What is the value of the constant in the equation that relates the height and
width of this rectangle?

What Is The Value Of The Constant In The Equation That Relates The Height Andwidth Of This Rectangle?

Answers

Answer 1

Answer:

14 or 10.4

Step-by-step explanation:

I don’t really understand the question but here I go I’ll try;

The height is 4 and the width is 10, so I think it’s 14 or 10.4.

Answer 2

The Constant that relates the height and width is 5/2.

What is Constant of Proportionality?

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Given:

we have the coordinates as (10, 4)

The coordinates shows that when the height of the rectangle is 4 unit then the width of the rectangle is 10.

Using Constant of Proportionality

y= k x

10 = k(4)

k = 10/ 4

k = 5/2

Learn more about Constant of Proportionality here:

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Related Questions

Can someone help me with this math homework please!

Answers

7h + 43 = 64

Hourly cost = $3

Last year there were 221 students and 12 teachers at Hilliard School. This year there are 272 students. The principal wants to keep the same student to teacher ratio as last year. Which proportion can the principal use to find x, the number of teacher needed this year?

Answers

Answer:

3264:221

Step-by-step explanation:

If by last year there were 221 students and 12 teachers at Hilliard School, then;

221students = 12teachers

To find the equivalent ratio for 272students, we can say;

272students = x teachers

Divide both expressions

221/272 = 12/x

Cross multiply

221 * x = 272 * 12

221x = 3264

x = 3264/221

x = 3264:221

This gives the required proportion

A sum of money earns the interest ar the rate of Rs. 5 per Rs.25 in a year. how many years would it trible itself?
a. 5
b. 10
c.15
d. 20​

Answers

the sun to this is d. 20

Solve the equation and enter the value of x below. -4(x - 5) = 60​

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

By question,

-4(x - 5) = 60

or,-4x + 20 = 60

or,-4x = 60 -20

or, -4x = 40

or, x =40/-4

Hence,x=10

Answer:

x = 10

Step-by-step explanation:

-4(x - 5 ) = 60

Solve for x.

-4(x - 5 ) = 60

Step 1 :- Distribute -4.

-4 × x - 4 × -5 = 60

-4x + 20 = 60

Step 2 :- Move constant to the right-hand side and change their sign.

-4x = 60 - 20

Step 3 :- Subtract 20 from 60.

-4x = 40

Step 4 :- Divide both side by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{40}{ - 4} \\ [/tex]

Hence , x = 10

The side length of the cube is 5 cm. Find the volume of the cube.

Answers

Answer:

125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (5 cm)³Evaluate exponents:                                                                                         V = 125 cm³

Answer:

[tex]\huge\boxed{V=125cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a cube with edge [tex]a[/tex]:

[tex]V=a^3[/tex]

We have [tex]a=5cm[/tex].

Therefore the volume is:

[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]

For the function f(x) =x 1/5 /8, find f-1(x)

Answers

Second option is correct

Solve for x. Round to the nearest tenth, if necessary.

Answers

Use cos,

COS= ADJ/HYP

COS(61)= 5.5/X

Final answer:

X= 5.5/COS(61)

X= 0.1 [rounded to nearest tenth]
X = 0.1 hoped this helped

PLEASE HELP!
y = 2x − 1
y = 4x - 5
solve both :)

Answers

Answer:

x=2

Step-by-step explanation:

We have

y = 2x-1

y= 4x-5

Therefore, as 2x-1=y=4x-5, we can say that

2x-1=4x-5

add 1 to both sides to make one side have only x components

2x = 4x-4

subtract 4x from both sides to separate the x components

-2x = -4

divide both sides by -2 to separate the x

x = 2

Pls solve Subtract -218 from 218​

Answers

Answer:

436

Step-by-step explanation:

218--218=436

If < A and < B are supplementary, and < A = 3x - 9 degrees, and < B = 2x + 14 degrees, find x.
Select one:
a. 19
b. 84
c. 35
d. 24

Answers

Answer:

Option c, 35

Step-by-step explanation:

<A and <B are supplementary,

so, <A+<B = 180

or, 3x-9+2x+14=180

or, 5x+5=180

or, 5x=175

or, x=35

Answered by GAUTHMATH

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased? 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093 25,000 minus 1500 (5), or approximately $17,500 25,000 (0.15) Superscript 5, or approximately $18,984 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575

Answers

Answer:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

Step-by-step explanation:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

B. 25,000 minus 1500 (5), or approximately $17,500

C. 25,000 (0.15) Superscript 5, or approximately $18,984

D. 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575

Value of the car = $25,000

Percentage decrease per year = 15%

Value after 5 years

Total percentage value of the car = 100%

Percentage value remaining each year = (100% - 15%)

= (1 - 0.15)

Decrease of the car in the next 5 years = $25,000(1 - 0.15)^5

= $25,000(0.85)^5

= $25,000(0.4437053125)

= $11,092.6328125

Approximately = $11.093

Value of the car in the next 5 years = $25,000 - $11,093

= $13,907

Answer:

It's A, $11,093

Step-by-step explanation:

Took the test on Edge

The dimensions of the rectangular pool shown below are 60 yards by 30
yards. A fence will be built around the outside of the deck. The ratio of the
dimensions of the pool to the dimensions of the fence is .. How many yards
of fence should be purchased to enclose the deck?

Answers

Answer:

ok so we have to find the perimiter so

60+60=120

30+30=60

120+60=180

Hope This Helps!!!

Find the value of x from the following given figures.​

Answers

solution :-

here,

We know that interior opposite angles are equal.

So,

110° = 50° + x (being interior opposite angles)

110° - 50° = x

60° = x

the value of x =60°

hope it is helpful to you ☺️

Make r the subject of the formula t = r/r - 3
Pls help asap

Answers

Answer:

statement not complete

Find the cosine of angle A to the nearest 100th.

Answers

Answer:

[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]

PLS HELP ASAP, I give 15 pts!

Suppose an isosceles triangle ABC has A=pi/4 and b=c=3. What is the length of a^2?

A. 3^2(2 - sqr2)

B. 3^2( sqr2 - 2)

C. 3^2(2 + sqr2)

D. 3^2 sqr2

Answers

Answer:

I believe it would be A 3^2(2-sqr2)

Assistance pleaseeees?!!

Answers

Answer:

Step-by-step explanation:

Two square based pyramids are joined, total volume is 2700mm, perpendicular height of top pyramid is 16mm, perpendicular height of bottom pyramid is 20mm, length and width of joint base area both x, find x. Please help me

Answers

Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is [tex]V=2700\ mm^3[/tex]

Height of top and bottom pyramid is

[tex]h_t=16\ mm[/tex]

[tex]h_b=20\ mm[/tex]

If the base has a side length of x, its area must be [tex]x^2[/tex]

Volume of square prism is given by

[tex]\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm[/tex]

Thus, the value of [tex]x[/tex] is 15 m.

Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool. Write an equation that gives the amount of water, w, after t hours.

Answers

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

find the inverse matrix or type none use decimals [3 2
4 1]

Answers

Answer:

none

Step-by-step explanation:

accellus

The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]

Then the transpose of a will be

[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]

Then the value of matrix A will be

[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]

Then the inverse matrix is defined as

A⁻¹ = Adj A / |A|

Then we have

[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]

More about the matrix link is given below.

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What is the surface area of the composite solid?


A. 119 m2
B. 146 m2
C. 162 m2
D. 174 m2

Answers

Answer:

C. 162 m2

Step-by-step explanation:

Surface Area

= 2(11×2) + 2(8×2) + 2(10 + 33)

= 44 + 32 + 86

= 162

Hence C

Answer: C, 162

Step-by-step explanation: I did it

COS2A+ cos2 A cot2A =cot 2 A

Answers

Answer:

a= (π/4) + (kπ/2)

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

9514 1404 393

Explanation:

This is an identity.

  cos²(A) +cos²(A)cot²(A) = cot²(A)

Transforming the left side, we have ...

  = cos²(A)(1 +cot²(A))

  = cos²(A)csc²(A)

  = (cos(A)/sin(A))²

  = cot²(A)



This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
06
09
O 10
12

Answers

Answer:

10

Step-by-step explanation:

last year he planted 12.

1/3 of that is 12/3 = 4.

6 more than that is 4 + 6 = 10.

Answer: C.)  10

Step-by-step explanation:

Como Determinar a equação da reta que passa pelos pontos A(-1, -2) e B(5,2)

Answers

Answer:

A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

[tex]y = ax + b[/tex]

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x + b[/tex]

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando [tex]x = 5, y = 2[/tex]. Então:

[tex]y = \frac{2}{3}x + b[/tex]

[tex]2 = \frac{2}{3}5 + b[/tex]

[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?

Answers

Answer:

12* 8 * 4 = 384

Step-by-step explanation:

can you help me with this question please?

Answers

Answer:

(1, -3)

Step-by-step explanation:

You can see where the two lines intersect - that's the solution.

Sketch the graph of each of the following quadratic functions: (a) f(x) = -2x² + 7x + 4 for -1 ≤ x ≤ 5.
Help me with this ques pleasee,i'll mark u as the brainliest!!​

Answers

Answer:

Please find attached the graph of the function created with MS Excel showing the relevant points required to draw an approximate graph of the function on a graph paper

Step-by-step explanation:

The given quadratic function is f(x) = -2·x² + 7·x + 4

The range of the input (x) values = -1 ≤ x ≤ 5

The coefficient of the quadratic is negative -2, the graph is n shape

The intercept form of the function is given as follows;

-2·x² + 7·x + 4 = -1 × (2·x² - 7·x - 4)

-1 × (2·x² - 7·x - 4) = -1 × (2·x² + x - 8·x - 4)

-1 × (2·x² + x - 8·x - 4) = -1 × (x · (2·x + 1) - 4·(2·x + 1))

∴ -1 × (x · (2·x + 1) - 4·(2·x + 1)) = -1 × (2·x + 1)·(x - 4)

∴ f(x) = -2·x² + 7·x + 4 = -1 × (2·x + 1)·(x - 4)

At the x-intercepts, (2·x + 1) = 0 or (x - 4) = 0, which gives;

x = -1/2 or x = 4

Therefore, the x-intercepts are (-1/2, 0), (4, 0)

The equation in vertex form is given as follows;

f(x) = -2·x² + 7·x + 4 = -2·(x² - 7·x/2 + 2)

By applying completing the squares method, to x² - 7·x/2 - 2, we get;

Where x² - 7·x/2 - 2

x² - 7·x/2 = 2

x² - 7·x/2 + (-7/4)² = 2 + (-7/4)² = 81/15

(x - 7/4)² = 81/16

∴ (x - 7/4)² - 81/16 = 0 = x² - 7·x/2 - 2

∴ x² - 7·x/2 - 2 = (x - 7/4)² - 81/16

-2·(x² - 7·x/2 + 2) = -2·((x - 7/4)² - 81/16) = -2·(x - 7/4)² + 81/8

The vertex = (7/4, 81/8)

When x = 0, we get;

f(0) = -2 × 0² + 7 × 0 + 4 = 4

The y-intercept = (0, 4)

The sketch of the function should pass through the x-intercepts (-1/2, 0), (4, 0), the y-intercept (0, 4), and the y-intercept (0, 4), and the vertex, (7/4, 81/8) on a graph sheet

Please find attached a drawing of the function of the function created with MS Excel

In a circle, chords ST and RA intersect at Y such that SY is perpendicular to RY. The value of mSA + mRT is: a. 90º b. 180º c. 225º d. Undefined

Answers

Answer:

a. 90º

Explanation:

The chords ST and RA intesect at Y, so that SY is now perpendicular to RY and they form an angle 90 degrees at that point. However angles mSA and mRT are both at the circumference of the circle(a chord is a line from point of a circle's circumference to the other) and are both 90 degrees because angle at the circumference is half of angle at the centre in same arc.

If 5 ^ (3k - 1) - 5 ^ (b - 3) , what is the value of b?

Answers

Answer:

-1

Step-by-step explanation:

1. Sets the exponents equal

3b-1 = b-3

2. collect like terms and calculate it

3b-b=1-3

2b= -2

(divide both side by 2)

b=-1

OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.​

Answers

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]

[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]

Therefore, the scale factor = 2

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