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
ololo11 [35]
3 years ago
11

Sara is a drummer in her school is marching band she wants to make a geometrically similar model of a snare drum for her stuffed

animals. To find the dimensions she should use to make a cylindrical model with a scale of 1 : 4, Sara measures the radius and height of a snare drum and multiplies each dimension by 1/2. Which statement is true?
A. A cylinder with Sara’s dimensions will be geometrically similar, and the scale factor will be 1:4


B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2


C. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8


D. A cylinder with Sara’s dimensions will not be geometrically similar
Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

Option B.

Step-by-step explanation:

Let the radius of the snare drum = r

and radius of the model = R

Ratio of the dimensions of the snare drum and the model = 1 : 4

So, \frac{r}{R}=\frac{1}{4}

Now as per question, dimensions of the snare drum is multiplied by a scale factor of \frac{1}{2}

Radius of the snare drum = \frac{r}{2}

Ratio of the radius of the snare drum and cylindrical model ,

\frac{\frac{r}{2}}{R} =\frac{1}{4}

\frac{r}{2R}=\frac{1}{4}

\frac{r}{R}=\frac{1}{2}

Therefore, the cylinder with Sara's dimensions will be geometrically similar but the scale factor will be 1 : 2

Option B is the answer.

You might be interested in
Help immediately!!!!! What is the average rate
Snezhnost [94]

Answer:

the average rate of change is 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The diameter of a building's dome is 82 feet at its widest point. Find its circumference. Round to the nearest tenth. Use 3.14 f
andreyandreev [35.5K]

Answer:

257.5 ft

Step-by-step explanation:

circumference of a circle with diameter=

pi*d

3.14*82=257.48

Hope this helps!

7 0
3 years ago
Read 2 more answers
Help me plz. You have to evaluate the expression.
Ray Of Light [21]

Answer:

2+4 + 0+ 1 = $7

Step-by-step explanation:

3 0
3 years ago
Could a circle be circumscribed around this?​
djyliett [7]

Answer:

no

Step-by-step explanation:

4 0
3 years ago
A line is tangent to the circle x^2+y^2=41, at the point (-4,-5)
VashaNatasha [74]
If the equation of the circle is x^2+ y^2 = 41, we must first understand the parts of the equation.
 A general circle's equation is (x-h)^2+(y-k)^2= r^2  
(h.k) is the radius of the circle
r is the radius of the circle
Another useful fact to know is that tangent lines touch the circle at one point (4,5)

Since in our original equation there are no h or k values, we can assume that the center of the circle is (0,0). 

The formula for slope is <u>Y1-Y2</u>
                                   X1-X2
We can break this down with our two points (center and tangent)
  (0,0)    and   (-4,-5)
(X1,Y1) and (X2,Y2)

therefore, we will put the equation as such
<u>0-(-5)= 5</u>  = <em> </em><u><em>5</em></u>
0-(-4)= 4     <em> 4</em>

<em>this is our slope from the center to the point of tangency.</em>

We know that tangent lines are perpendicular to the radius, which we've already found the slope of. Perpendicular lines are opposite reciprocals of the line they are perpendicular to. 

Therefore, we take our slope from center to the tangent, and make it opposite and then take the reciprocal of that slope, which will give us the slope of the tangent line itself. (note: reciprocal means flip the numerator and denominator)
<u>5</u> =  <u>-5</u>  =  <u>-4</u><u>
</u>4     4        5   

Now, we have a point on the line, and the line's slope. We can use slope-intercept equation to find the equation of the line.

Slope-int      y=mx+b
(x,y) is a point,
m is the slope
b is the y intercept  ( the point where x=0, or where its on the y axis)

now we plug things in
(-4,-5) is our point,
<u>-4</u>  is our slope
5

-5=<u>-4</u>(-4)+b       After we plug things in, solve for b
     5

-5= 3.2+b

-1.8= b  or  b=  <u />1 <u>4</u>
                         5

Now we just need to rewrite our equation with all our components.
(-4.-5) = point
<u>-4</u>  = slope<u>
</u>5
1 <u>4</u> = y-intercept<u>
</u>   5

<em>y=</em><u><em>-4</em></u><em> x+ 1 </em><u><em>4</em></u><em>     This is the equation of the tangent line</em><u>
</u><em>    5         5</em>


Hope that helped
7 0
3 years ago
Other questions:
  • When 5/8 of the books had been sold, there were only 309 books remaining. how many books were there originally?
    9·1 answer
  • the gasoline tank and Allison's car holds 12 gallons of gas on a trip the car used one fourth of a tank of gas if the tank was f
    6·1 answer
  • Heeeellpp!!!! <br><br> ABC ≅
    15·2 answers
  • What is 61% percent written as a decimal? 100 points and Brainliest
    11·1 answer
  • The measure of an obtuse angle is
    12·2 answers
  • What day comes three days after the day which comes two days after the day which comes immediately after the day which comes two
    7·2 answers
  • A survey asked eight students about weekly reading hours and whether they play musical instruments. The table shows the
    7·1 answer
  • Simplify 5-5x over 9x^2 -9x<br><br> (I know I have to take out a GCF but I don't know how)
    7·1 answer
  • PLEASE HURRY
    7·1 answer
  • COMPLETE THE PATTERN BELOW PLEASE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!