Answers
Answer:
The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.
Step-by-step explanation:
To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:
Side 12 ≅ Side AB
Side 23 ≅ Side BC
Side 34 ≅ Side CD
With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.
Side 41 ≅ Side DA
Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.
Next, set these equal to each other. FG is 5y+3 and MN is 7y-27
5y+3 = 7y-27
5y = 7y-30
-2y = -30
2y = 30
y = 15
y equals 15.
Lastly, plug this into the equation for FG to get the final answer.
5(15)+3
75+3
78 inches
Related Questions
What is the value of x in the circle to the right?
Answers
9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help
Answers
Step by step
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 20 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n = 43 wind speed recordings (taken at random intervals), the wind speed at the site averaged x = 25.8 mph, with a standard deviation of s = 4.2 mph. To determine whether the site meets the organization's requirements, consider the test, H0: µ = 25 vs. Ha: µ > 25, where µ is the true mean wind speed at the site and alpha = .01. Suppose the value of the test statistic were computed to be 1.25. State the conclusion.
A) At alpha = .01, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
B) At alpha΅= .01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
C) We are 99% confident that the site meets the organization's requirements.
D) We are 99% confident that the site does not meet the organization's requirements.
Answers
Answer:
B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
Step-by-step explanation:
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 25.
We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.
With the help of a calculator, this p-value is of 0.1091.
Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.
Please answer this question correctly
Answers
1. Melany bikes the 5 km to school in 10 minutes. What is her average speed?
Answers
Answer:
Your answer would be 30 km/h for her average pace.
Step-by-step explanation:
I filled out info for a pace calculator and this is what the average speed was. Hope this helps and have a nice day.
Using the picture above Find the measure of arc EF
Answers
Given:
Measure of arc CG is 125 degrees.
The measure of angle CDG is 85 degrees.
To find:
The measure of arc EF.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]
Let x degrees be the measure of arc EF.
Substituting the given values, we get
[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]
[tex]2\times 85^\circ=125^\circ+x[/tex]
[tex]170^\circ -125^\circ=x[/tex]
[tex]45^\circ=x[/tex]
Therefore, the measure of arc EF is [tex]45^\circ[/tex].
Factor by grouping. 9c^3-12c^2+18c-24
Answers
Answer:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
Step-by-step explanation:
Given
[tex]9c^3 - 12c^2 - 18c - 24[/tex]
Required
Factor
Group into 2
[tex][9c^3 - 12c^2] - [18c + 24][/tex]
Factorize each group
[tex]3c^2[3c - 4] - 6[3c - 4][/tex]
Factor out 3c - 4
[tex][3c^2 - 6][3c - 4][/tex]
Hence:
[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]
Pleaseeee helpppp meee
Answers
Answer:
try searching it
Step-by-step explanation:
Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.
14:30 describes her class in terms of number of girls to total number of students
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.
Answers
Answer:
0.62 im 99% sure
Step-by-step explanation:
Answer:
0.62
Step-by-step explanation:
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answers
Answer:
b
Step-by-step explanation:
Samantha Smith purchased a $50,000 policy for $1,050 per year. After ten years, what will be the ratio (percentage) of
cash value to premiums paid?
%
Ratio of cash value to premiums paid (to the nearest tenth)
Answers
Answer:
After 10 years the ratio will be 10500: 500000
Answer:
2.1%
Step-by-step explanation:
I converted the ration to a percent. (on g o o g l e)
Please Brainlyest
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answers
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answers
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.
Answers
Answer:
334
Step-by-step explanation:
I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121
Answers
Answer:
301
Step-by-step explanation:
3 + 0 + 1 = 4
301 / 7 = 43
301 / 2 = 105.5
Answer:
301
Step-by-step explanation:
301 divided by 7 = 43
301 is not divisible by 2
3 + 1 + 0 = 4
Hope this helps :)
Which graph represents the function f(x) =4·3^x
Answers
Answer:
c
Step-by-step explanation:
the answer is c c c c c c c c
$74.00 sweatshirt; 5% tax
|
Answers
Answer:
the tax amount is $3.7
Step-by-step explanation:
Given that
The price of the sweatshirt is $74
And, there is a 5% tax
So we assume that We need to find out the tax amount
So here the following formula should be used
= Price of the sweatshirt × tax rate
= $74 × 0.05
= $3.7
Hence, the tax amount is $3.7
So the same would be considered and relevant
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
Answers
In which of the expressions below will x = 3? Select all that apply.
A) 5.5x=22
B) 19x−12x+6=27
C) 15x5=9
D) 18−(x+6)=10
E) 2x3+6=60
Answers
Answer: b
Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27
Answer:
Its B
Step-by-step explanation:
If the area of a rectangle is 16a^3 – 12a² + 8a and the width is 4a. Find the length
of the rectangle.
Answers
Answer:
4a² - 3a + 2
Step-by-step explanation:
*picture above*
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
Answers
Answer:
293 seconds
Step-by-step explanation:
60*4=240
240+53=293
A system of equations is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answers
Answer:
one unique solution
Step-by-step explanation:
one unique solution => (-1, 2)
Answer:
B
Step-by-step explanation:
6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.
Answers
d
.........................
can you please explain how i can work through these problems?
Answers
A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.
A. 511 bottles/7 minutes
B. 73 minutes/1 bottle
C. 73 bottles/1 minute
D. 73:1
Answers
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
The length of PQ is ____ ft.
Answers
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex] [Angle sum property]
[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]
[tex]m\angle P+116^\circ=180^\circ[/tex]
[tex]m\angle P=180^\circ -116^\circ[/tex]
[tex]m\angle P=64^\circ[/tex]
According to Law of Sines, we get
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using the Law of Sines, we get
[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]
[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]
Substituting the given values, we get
[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]
[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]
[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]
[tex]2.38989=PQ[/tex]
Approximate the value to the nearest tenth of a foot.
[tex]PQ\approx 2.4[/tex]
Therefore, the length of PQ is 2.4 ft.
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answers
Answer:
Trinomial
[tex]m^2 - 13m + \frac{169}{4}[/tex]
Binomial squared
[tex](m - \frac{13}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]m^2-13m[/tex]
Required
Make a perfect trinomial
We have:
[tex]m^2-13m =[/tex]
-----------------------------------------------
Take the coefficient of m i.e. -13
Divide by 2 i.e. -13/2
Square i.e. (-13/2)
Add to both sides of the equation
-----------------------------------------------
[tex]m^2-13m =[/tex] becomes
[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]
[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]
Expand
[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]
Factorize:
[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Factor out m - 13/2
[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]
Write as square
[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]
Hence, the trinomial is:
[tex]m^2 - 13m + \frac{169}{4}[/tex]
And the binomial squared is:
[tex](m - \frac{13}{2})^2[/tex]
PLEASE HELP ASAPPPP!!!!!
Answers
Answer:
see below
Step-by-step explanation: 5 20 15 39
coin 2 possibilities 1/2
three coins (1/2) × (1/2) × (1/2) = _________ or (1/2)³
What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.
Answers
Answer:
62.832 mi^2
Step-by-step explanation:
Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2
Curved Surface Area= pi x diameter x height
= pi x 4 x 3 = 12 pi mi^2
So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)
Answer:
SA=62.832 mi^2
Step-by-step explanation:
To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.
Mario builds a triangular table- help!!
Answers
Answer:
Step-by-step explanation:
question 1a) hey, so it would look like this for example:
question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)
tell me if u have any questions