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
Alla [95]
3 years ago
5

The perimeter of a rectangle is 40 inches. if its length is three times its width, find the dimensions.'

Mathematics
1 answer:
Tresset [83]3 years ago
4 0
The perimeter of a rectangle could be determined using
\boxed{p = 2(l+w)}

From the question above, we could draw informations
p = 40 inches
l = 3w

plug in the info to the perimeter formula
p = 2(l + w)
40 = 2(3w + w)
40 = 2(4w)
40 = 8w
w = 40/8
w = 5

l = 3w
l = 3(5)
l = 15

The dimension:
l = 15 in
w = 5 in
You might be interested in
Use the equation v=s+19 to find the value of v when s=2.<br> V=
oksian1 [2.3K]

Answer:

21

Step-by-step explanation:

s=2

so, v=2+19

19+2=21

6 0
2 years ago
△RQS is similar to △TQU by the AA similarity postulate. What is the measure of angle R ?
natta225 [31]

Answer:

  60°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  ∠R + 88° + 32° = 180°

  ∠R = 60° . . . . . . subtract 120° from both sides of the equation

3 0
3 years ago
The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si
Novay_Z [31]

Answer:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)  

\sigma=0.05 represent the population standard deviation  

n represent the sample size (variable of interest)  

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

7 0
3 years ago
Draw a diagram in which segment AB intersects segment CD equals segment CB
Contact [7]
The <u>correct diagram</u> is attached.

Explanation:

Using technology (such as Geogebra), first construct a line segment.  Name the endpoints C and D.

Construct the perpendicular bisector of this segment.  Label the intersection point with CD as B, and create another point A above it.

Measure the distance from C to B and from B to D.  They will be the same.

Measure the distance from A to B.  If it is not the same as that from C to B, slide A along line AB until the distance is the same.

Using a compass and straightedge:

First construct segment CD, being sure to label the endpoints.

Set your compass a little more than halfway from C to D.  With your compass set on C, draw an arc above segment CD.

With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc.  Mark this intersection point as E.

Connect E to CD using a straightedge; mark the intersection point as B.

Set your compass the distance from C to B.  With your compass on B, mark an arc on EB.  Mark this intersection point as A.

AB will be the same distance as CB and BD.

5 0
3 years ago
Read 2 more answers
×
german

Let

x------> hours worked by Sara last week

y------> hours worked by Joan last week

z------> hours worked by Erin last week

we know that

x=28 hours ------> equation 1

y=x-6-----> equation 2

substitute the value of x in equation 2

y=28-6=22 hours

z=y/2------> equation 3

substitute the value of y in the equation 3

z=22/2=11 hours

<u>the answer is</u>

Sara worked 28 hours last week

Joan worked 22 hours last week

Erin worked 11 hours last week

4 0
3 years ago
Read 2 more answers
Other questions:
  • Use the number 913,256. Write the digit in the ten thousands place.
    8·1 answer
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    14·1 answer
  • Lisa bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many b
    11·1 answer
  • I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
    6·2 answers
  • Mr. Yasin paid a total of 9.43 to buy three boxes of cereal. If he paid 3.99 for the 1st box and 2.97 for the 2nd box how much d
    9·1 answer
  • Please help meeeeeee
    11·1 answer
  • Given: HF = HJ.FG = JK.<br> H is the midpoint of GK.<br> Prove: AFGH 2 AJKH<br> G<br> H<br> K
    11·1 answer
  • If a person studies for 8hrs a week. How long to they work each day
    8·1 answer
  • Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common differen
    5·2 answers
  • The total number of degrees in the center is 360°. if all five vertex angles meeting at the center are congruent, what is the me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!