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
Darya [45]
3 years ago
10

Can Someone Answer My Final Answers :) I’d appreciate it so much :)

Mathematics
2 answers:
DaniilM [7]3 years ago
6 0
1. Remember that the perimeter is the sum of the lengths of the sides of a figure.To solve this, we are going to use the distance formula: d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}
where
(x_{1},y_{1}) are the coordinates of the first point
(x_{2},y_{2}) are the coordinates of the second point
Length of  WZ:
We know form our graph that the coordinates of our first point, W, are (1,0) and the coordinates of the second point, Z, are (4,2). Using the distance formula:
d_{WZ}= \sqrt{(4-1)^2+(2-0)^2}
d_{WZ}= \sqrt{(3)^2+(2)^2}
d_{WZ}= \sqrt{9+4}
d_{WZ}= \sqrt{13}

We know that all the sides of a rhombus have the same length, so 
d_{YZ}=  \sqrt{13}
d_{XY}= \sqrt{13}
d_{XW}= \sqrt{13}

Now, we just need to add the four sides to get the perimeter of our rhombus:
perimeter= \sqrt{13} + \sqrt{13} + \sqrt{13} + \sqrt{13}
perimeter=4 \sqrt{13}
We can conclude that the perimeter of our rhombus is 4 \sqrt{13} square units. 

2. To solve this, we are going to use the arc length formula: s=r \alpha
where
s is the length of the arc. 
r is the radius of the circle.
\alpha is the central angle in radians

We know form our problem that the length of arc PQ is \frac{8}{3}  \pi inches, so s=\frac{8}{3} \pi, and we can infer from our picture that r=15. Lest replace the values in our formula to find the central angle POQ:
s=r \alpha
\frac{8}{3} \pi=15 \alpha
\alpha =  \frac{\frac{8}{3} \pi}{15}
\alpha = \frac{8}{45} \pi

Since \alpha =POQ, We can conclude that the measure of the central angle POQ is \frac{8}{45} \pi

3. A cross section is the shape you get when you make a cut thought a 3 dimensional figure. A rectangular cross section is a cross section in the shape of a rectangle. To get a rectangular cross section of a particular 3 dimensional figure, you need to cut  in an specific way. For example, a rectangular pyramid cut by a plane parallel to its base, will always give us a rectangular cross section. 
We can conclude that the draw of our cross section is:

Mumz [18]3 years ago
3 0
Hello,
Please, see the attached files.
Thanks.

You might be interested in
Which study is based on quantitative research? a. Using themes and patterns; using no formal instruments. b. Examining the berea
vladimir1956 [14]

Answer:

c. Measuring the differences in blood pressure before, during, and after a procedure.

Step-by-step explanation:

Quantitative research use instruments to measure the variables we are studying. You could measure the variable by using any instrument, in this case the blood preasure during a procedure could be measured with an instrument called sphygmomanometer. Other options couldn't be measured with any instrument.

3 0
3 years ago
an athletic facility is building an indoor track. the track is composed of a rectangle and two semicircles, as shown. a) write a
stepan [7]

Answer:

(a) P = 2x + 2r + 2πr

(b) x = ½(P - 2r - 2πr)

(c) x = 123 feet

Step-by-step explanation:

See Attachment for sketch of the track

Solving for (a): Perimeter of the track

This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.

P = Perimeter of Rectangle + Perimeter of 2 Semicircles

P = 2(x + r) + 2 * πr

[Where r is the radius of both semicircles]

Open bracket

P = 2x + 2r + 2πr

Solving for (b): Formula for x

P = 2x + 2r + 2πr

Make x the subject of formula

2x = P - 2r - 2πr

Divide both sides by 2

x = ½(P - 2r - 2πr)

Solving for (c): the value of x when r = 50 and P = 660

Substitute the given values in the formula in (b) above

x = ½(P - 2r - 2πr)

x = ½(660 - 2 * 50 - 2π * 50)

x = ½(660 - 100 - 100π)

x = ½(560 - 100π)

Take π as 3.14

x = ½(560 - 100 * 3.14)

x = ½(560 - 314)

x = ½ * 246

x = 123 feet

6 0
2 years ago
Help quick please you don’t have to show work
Ahat [919]

Answer:

2nd

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If the perimeter (the distance around) of a rectangle is 54 inches and its width is 12 inches, how long is the rectangle?
Liula [17]

Answer:

15 in

Step-by-step explanation: It would be 15 in because 12+12 equals 24 and 50-24=30 and 30 divided by 2 equals 15 in.

3 0
3 years ago
There will be 6 people at Ellie's pie party. She wants to bake enough pie so that each person can eat at least ​1/5 of a pie.Wha
IrinaVladis [17]
2 Pies. If she cuts the first pie for 5 people she only needs one more pie for the 6th person
6 0
3 years ago
Read 2 more answers
Other questions:
  • A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during
    8·1 answer
  • Suppose you are given a fair coin and an unfair.com, which
    9·1 answer
  • To the nearest hundredth, how many cm are in 8 in? (1 in = 2.54 cm)
    13·2 answers
  • Will give brainliest to whoever solves this for me!
    6·1 answer
  • I’m taking a test rn please I need help!?
    9·1 answer
  • Consider the diagram.
    12·1 answer
  • Please help me on this
    9·1 answer
  • What fraction has the greatest value? ​
    8·2 answers
  • This composite figure is made up of three simpler shapes. What is the area of
    10·1 answer
  • Is 6.24 greater or less than .624
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!