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
Kipish [7]
3 years ago
13

A verandah of width 2.25 m is constructed all long outside a room which is 5.5 m long and 4m wide. Find the area of the verandah

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

63m^2

Step-by-step explanation:

Area of room= 4(5.5)= 22m^2

Length of verandah= 5.5 + 2(2.25) = 10m

Breadth of verandah= 4 + 2(2.25) = 8.5m

Area of verandah + room= 10(8.5) = 85m^2

Area of verandah= 85-22= 63m^2

You might be interested in
If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dx/dt
valina [46]
The area of a circle in terms of the circle's radius r is

A=\pi r^2

Differentiating both sides with respect to t, you get

\dfrac{\mathrm dA}{\mathrm dt}=2\pi r\dfrac{\mathrm dr}{\mathrm dt}
3 0
3 years ago
I have these factoring questions I need help with.
snow_lady [41]

f(x)=4x^2+4x-3

1. Determine y-intercept.

<em>The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.</em>

2. Determine the zeros.

<em>Factor the polynomials first. </em>(2x-1)(2x+3) <em>This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2</em>

3. Determine the Axis of Symmetry

<em>We can solve this by using the formula of </em>x=-\frac{b}{2a}  <em>However, I'll be solving the Axis of Symmetry with Calculus instead.</em>

<em />f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4<em />

<em>Then let f'(x) = 0 to find the Axis of Symmetry.</em>

<em />8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}<em />

<em>Therefore, the Axis of Symmetry is -1/2</em>

4. Determine the vertex.

<em>Substitute the value of Axis of Symmetry in f(x).</em>

<em />f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4<em />

<em>Therefore the vertex is at (-1/2, -4)</em>

5. Does the vertex representing max-pont or min-point?

<em>The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE. </em>

7. Graph f(x)

<em>Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).</em>

<em>--------------------------- </em>End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

y=ax^2+bx+c

<em>The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is. </em>

<em>For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.</em>

3. Write in Factored Form

y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)

<em>These are factored forms with different types of operators.</em>

<em>The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)</em>

4. Write in Vertex Form.

y=a(x-h)^2+k

<em>The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.</em>

<em>The vertex is at (h,k) and the axis of symmetry is at x = h.</em>

<em>For example, </em>y=(x-2)^2+3<em />

<em>The vertex would be at (2,3) and the axis of symmetry is x = 2.</em>

3 0
3 years ago
Statistics:
Dima020 [189]

Answer:

Step-by-step explanation:

a) sub in 600 for 6

600-25/40 =14.375

b) switch x and y

x=y-25/40

Solve for y

40x=y-25

y=40x+25

c)Plug in 2.5 for z(x)

2.5= x-25/40

100=x-25

x=125

8 0
3 years ago
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a
jekas [21]

Step-by-step explanation:

24$

8 0
3 years ago
Hi.Please please help me I really really need help please help me I really need help answer it correctly please
Vsevolod [243]

Answer:

bottom right corner

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Y = ¼ x and y=¼x - 5. explain how the graphs are the same and how they are different
    5·1 answer
  • What are these two called
    12·1 answer
  • The planet Venus is about 67,232,360 miles from the sun. How is this written in scientific
    7·1 answer
  • PLEASE HELPPP!!!
    5·2 answers
  • Write the equation of the line that passes through (0,2) and (-3,-4) in slope intercept form.
    13·1 answer
  • What is the mode and range of 45 50 47 52 53 45 51
    5·2 answers
  • Las funciones de costo e ingreso (en miles de dólares) para la famosa tienda de yogurt en Cd. Juarez están dadas por C(x)=(400x+
    5·1 answer
  • Sorry for asking alot i just need to get 10 out of 10
    5·1 answer
  • Can someone PLZ answer my Previous math question???
    11·1 answer
  • HELP PLEASE WILL GIVE BRAINLIEST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!