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
grigory [225]
3 years ago
6

A room in the shape of a triangle has sides of length 7 yd, 8 yd, and 11 yd. If carpeting costs $17.50 a square yard and padding

costs $3.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?
Mathematics
2 answers:
Monica [59]3 years ago
7 0
770 dollars I think I'm not 100% sure
Tpy6a [65]3 years ago
7 0
3. By sketching this triangle it can be determined that this is not a right triangle, but rather an oblique-angled triangle. For the lengths of the three sides, let a = 7, b = 8, and c = 11, and let angle A be opposite side a, and angle B be opposite side b, and angle C be opposite side c. 

<span>Using the Law of Cosines: </span>

<span>cos(A) = (b² + c² - a²)/2bc = [(8)² + (11)² - (7)²)/2(8)(11) = 0.773 </span>

<span>A = acos(0.773) = 39.4° </span>

<span>Using the Law of Sines: </span>

<span>sin(A)/a = sin(B)/b ==> sin(B) = (b/a)sin(A) = (8/7)sin(39.4°) = 0.725 </span>

<span>B = asin(0.725) = 46.5° </span>

<span>Knowing angles A and B, angle C is: </span>

<span>C = 180° - A - B = 180° - 39.4° - 46.5° = 94.1° </span>

<span>Finally, the area is: </span>

<span>Area = (ab/2)sin(C) = [(7)(8)/2]sin(94.1°) = 27.928 yd² </span>

<span>The total cost is (27.928)($17.50 + $3.25) = $579.51 [answer (a)] </span>
You might be interested in
Hi i just want to be <br>Friends with I am from Philippines ​
grin007 [14]

Answer:

HI HI from the UK,

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the value of x?<br><br><br><br> Enter your answer in the box.
hichkok12 [17]

Answer:

x = 25

Step-by-step explanation:

<em>Step 1: Identify the similar triangles</em>

Triangle DQC and triangle DBR are similar

<em>Step 2: Identify the parallel lines</em>

QC is parallel to BR

<em>Step 3: Find x</em>

DQ/QB = DC/CR

40/24 = x/15

x = 25

!!

8 0
3 years ago
Read 2 more answers
Which best describes the triangle or the triangles, if any, that can be formed with two sides that measure 5 inches and an angle
Arte-miy333 [17]
One isosceles triangle
4 0
3 years ago
Read 2 more answers
Evaluate mnp if m= -2, n= 3, and p= -5
denpristay [2]

Answer:

mnp = 30

<h3>Explanation:</h3>

Given: m= -2, n= 3, and p= -5

mnp = (-2)(3)(-5)

=> (-6)(-5)

=> 30

8 0
3 years ago
Below is a scale drawing of a stage that Syla is designing. A rectangle with length 8 centimeters and width 5 centimeters. Using
serious [3.7K]

Answer:

<h3>50m</h3>

Step-by-step explanation:

Given the dimension

Length of the rectangle = 8cm

Width = 5cm

Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m

If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;

5 * 10 = 50m

Hence the width of the new stage will be 50 m

6 0
3 years ago
Other questions:
  • Find the x and y intercepts
    6·1 answer
  • The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is
    6·1 answer
  • a 120 -ft long playground is just 15 in. on the scale drawing. what is the scale on the scale drawling?
    9·2 answers
  • Help me plz with problem I need a lot of help with it
    6·1 answer
  • Is x^2+y^2=5 a function? why or why not?
    12·1 answer
  • Regular hexagon ABCDEF is shown below. Find the measure of angle x.
    5·1 answer
  • PLS OMG!!! i need to pass bro omg pls just please help.
    13·1 answer
  • HELP PLEASE!!!!!!!!!!!!
    8·1 answer
  • What is the inverse of the function F (X) equals 2X +1
    8·1 answer
  • Simplify and write the trig expression in terms of sin and cos
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!