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
Lesechka [4]
3 years ago
5

two similar signs have a scale factor of 5:3. if the larger sign is 45 feet tall . how tall is the small sign?

Mathematics
1 answer:
gavmur [86]3 years ago
7 0
Given that 2 similar signs have a scale factor of 5:3 and the larger sign is 45 ft, then the smaller sign will have the height given by:
scale factor=(height of large sign )/(height of smaller sign)
let the height of smaller sign be x, plugging in the values we get:
5/3=45/x
solving for x we get
3/5=x/45
hence
x=3/5×45
x=27 ft
The height of smaller sign will be 27 ft
You might be interested in
true or false? If you wanna took a true “if-then” statement,insertedba not in each clause,and reversed the clauses,the new state
ValentinkaMS [17]
I’m pretty sure it’s gonna be true
4 0
3 years ago
90 percent as a fraction in simplest form
inysia [295]
Whenever a number is followed by percent, you can turn it into a fraction by simply moving the decimal places two places to the left:

90.0 % becomes .90 

As a fraction, this is 90 over 100. To reduce it to its simplest form, divide by 10:

9/10
6 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
Write three different sentences that could describe the relationship between the quantities $27, $81
Olenka [21]
1) 27+x=81
2)27+81=108
3)81-x=27
8 0
4 years ago
A circular garden has a diameter of 6 yards. What is the area of the garden?
Salsk061 [2.6K]

Answer:

d.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • (x^2+3y-3) - (-2x^2+3y-1)
    5·1 answer
  • Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99​% of all males.​ (Accommodating 100
    14·1 answer
  • I need help fast plz
    12·2 answers
  • An ant is crawling along a straight wire, which we shall call the x axis, from A to B to C to D (which overlaps A), as shown in
    6·1 answer
  • How do i put 6.24x10^2 in standard scientific notation?
    6·1 answer
  • What is 12 is 30% of
    8·2 answers
  • The completely factored form of 2d4 + 6d3 − 18d2 − 54d is
    14·1 answer
  • At a school there are 864 students and 80 staff members. 5/8 of the students are boys. How many girls are in the school?
    11·1 answer
  • The table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean of at least 92
    10·2 answers
  • Answer in Slope intercept form
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!