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
Cerrena [4.2K]
3 years ago
15

The length of the ears on the shadow puppet is 3 inches. The length of the ears on the shadow is 4 inches. What is the scale fac

tor?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
The scale factor is the number u multiply by the first image to get to the second image.

so 3 times what = 4
3x = 4
x = 4/3 (or 1 1/3) <== this is ur scale factor
You might be interested in
a(t)=(t−k)(t−3)(t−6)(t+3) is a polynomial function of tt, where kk is a constant. Given that a(2)=0a(2)=0, what is the absolute
Crank

Since a(2)=0, we know that t-2 must be a factor of a(t), so k=2. Then the zeros of a(t) are t=2,3,6,-3, and their product is -108, whose absolute value is 108.

3 0
3 years ago
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are
Kruka [31]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of type A paint

x2 = sample mean of type B paint

s1 = sample standard deviation type A paint

s2 = sample standard for type B paint

n1 = number of samples of type A paint

n2 = number of samples of type B paint

From the information given,

x1 = 75.7

s1 = 4.5

n1 = 11

x2 = 64.3

s2 = 5.1

n2 = 9

x1 - x2 = 75.7 - 64.3 = 11.4

√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709

Degree of freedom = (n1 - 1) + (n2 - 1)

df = (11 - 1) + (9 - 1) = 18

For the 98% confidence interval, the z score from the t distribution table is 2.552

Margin of error = 2.552√4.709 = 5.55

The upper boundary for the confidence interval is

11.4 + 5.55 = 16.95 hours

The lower boundary for the confidence interval is

11.4 - 5.55 = 5.85 hours

The correct option is

B. 5.85 hrs < μ1 - μ2 < 16.95 hrs

4 0
3 years ago
Compare the functions shown below:
emmasim [6.3K]
The intersection with the y axis occurs when x = 0.
 We have then:
 
 For f (x):
 
f (0) = -3 (0) - 5&#10;&#10;f (0) = 0 - 5&#10;&#10;f (0) = - 5

 For g (x):
 
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

 For h (x):
 
h (0) = 2cos (2 (0) -\pi) +4&#10;&#10;h (0) = 2cos (0-\pi) +4&#10;&#10;h (0) = 2cos (-\pi) +4
 h (0) = 2 (-1) +4&#10;&#10;h (0) = -2 + 4&#10;&#10;h (0) = 2

 Therefore, the graph with the intersection with the largest y axis is h (x)

 Answer:
 
the greatest y-intercept is for:
 
C. h(x) 
6 0
3 years ago
You work 3:30pm-9:00pm. you take a break from 6:00 to 6:30. How many hours do you work in a day
lina2011 [118]

Answer:

You would work 5 hours a day

6 0
2 years ago
Maurice and Johanna have appreciated the help you have provided them and their company Pythgo-grass. They have decided to let yo
jasenka [17]
<span><span>1.A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.
</span>
The Law of Cosines is always preferable when there's a choice.  There will be two triangle angles (between 0 and 180 degrees) that share the same sine (supplementary angles) but the value of the cosine uniquely determines a triangle angle.

To find a missing side, we use the Law of Cosines when we know two sides and their included angle.   We use the Law of Sines when we know another side and all the triangle angles.  (We only need to know two of three to know all three, because they add to 180.  There are only two degrees of freedom, to answer a different question I just did.

<span>2.An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice how to find the equation of the parabola given the focal point and the directrix.
</span>
We'll use the standard parabola, oriented in the usual way.  In that case the directrix is a line y=k and the focus is a point (p,q).

The points (x,y) on the parabola are equidistant from the line to the point.  Since the distances are equal so are the squared distances.

The squared distance from (x,y) to the line y=k is </span>(y-k)^2
<span>
The squared distance from (x,y) to (p,q) is </span>(x-p)^2+(y-q)^2.<span>
These are equal in a parabola:

</span>
(y-k)^2 =(x-p)^2+(y-q)^2<span>

</span>y^2-2ky + k^2 =(x-p)^2+y^2-2qy + q^2

y^2-2ky + k^2 =(x-p)^2 + y^2 - 2qy+ q^2

2(q-k)y =(x-p)^2+ q^2-k^2

y = \dfrac{1}{2(q-k)} ( (x-p)^2+ q^2-k^2)

Gotta go; more later if I can.

<span>3.There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.

4.A pipe needs to run from a water main, tangent to a circular fish pond. On a coordinate plane, construct the circular fishpond, the point to represent the location of the water main connection, and all other pieces needed to construct the tangent pipe. Submit your graph. You may do this by hand, using a compass and straight edge, or by using a graphing software program.

5.Two pillars have been delivered for the support of a shade structure in the backyard. They are both ten feet tall and the cross-sections​ of each pillar have the same area. Explain how you know these pillars have the same volume without knowing whether the pillars are the same shape.</span>
3 0
3 years ago
Other questions:
  • The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5
    13·2 answers
  • Atlanta had the following temperatures recorded for the last nine days of February:
    11·1 answer
  • Can someone help me with these 2?
    10·1 answer
  • 16cm/min equals how many meters in one hour
    10·1 answer
  • PLS HELP ASAP Given parallelogram PARK. Prove graphically and algebraically that a clockwise rotation of 270o about the origin h
    11·1 answer
  • 25,550 ÷ ___________ = 0.25550
    14·1 answer
  • There are 20 students in a drama class. The mean age of 12 students is 18 years. The mean age of the remaining 8 students of the
    13·1 answer
  • The coldest temperature ever recorded in New York City was -15 degress fahrenheit on February 9, 1934. The next day, the tempera
    5·1 answer
  • Solve the following system of equations<br> by Substitution.<br> 5x + 4y = 7<br> -2x - 2y = 8
    7·2 answers
  • An equation has solutions of m = –5 and m = 9. which could be the equation? (m 5)(m – 9) = 0 (m – 5)(m 9) = 0 m2 – 5m 9 = 0 m2 5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!