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
Daniel [21]
3 years ago
8

Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length o

f the second rectangle. Round to the nearest tenth if necessary. 5.8 cm 6.4 cm 8.9 cm 7.7 cm
Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

If the rectangles are similar to one another, then their sides exist in proportion to one another.  Set up a proportion with the larger rectangle on top and the smaller rectangle on bottom:

\frac{l}{s}:\frac{10}{7}=\frac{11}{x}

Cross multiply to get

10x = 77 so

x = 7.7

You might be interested in
You are a salesperson for acme toys. Every day you earn $30 plus two ninths of your sales. What dollar amount of sales do you ne
My name is Ann [436]

the salesperson earns a fixed cost of $ 30 plus 2/9th of his sales

we have to find how many sales he gets to earn $ 100 for one day

so lets say that the number of sales for the day - x sales

and he earns 2/9th of his sales

therefore amount he earns for x sales is - \frac{2}{9}* x = \frac{2x}{9}

this value plus his fixed earnings of $ 30 per day

so the amount he earns is 2x/9 + 30

this equals $ 100

so we can write the following equation

\frac{2x}{9} + 30 = 100

\frac{2x}{9} = 100 - 30

\frac{2x}{9} = 70

2x = 70 * 9

2x = 630

x = 315

so the amount of sales he earns for that day is 315 sales


5 0
3 years ago
Read 2 more answers
A picture measuring 2.5" high by 6" wide is to be enlarged so that the width is now 18 inches. How tall will the picture be?
Usimov [2.4K]
7.5" if the width is now 18 that means its value increased by 3 so multiply 2.5 by 3 and its = to 7.5
6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?
Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

f(g(x)) = g(f(x)) = x for every x∈R.

Let f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1) and g(x) = 2e^{2x+1}

Use logarithmic rules:

  • ln e^a = a
  • e^{lnx} = x
  • \ln a^b = b\ln a

then, by definition;

f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1) = \frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x

g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1 2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x

Similarly;

for f(x) = \frac{4 \ln(x^2)}{e^2} and g(x) = e^{\frac{e^2 \cdot x}{8} }

then, by definition;

f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2} = \frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0
4 years ago
Help please, explain each step or no points.
Leno4ka [110]
The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.

pop/500 = 5/7
pop = 500*5/7 ≈ 357

357 of the next 500 songs downloaded are expected to be pop songs.
8 0
3 years ago
antwan is looking to get an apartment that cost $650 per month. How much does he need to make per year
vitfil [10]

Answer:

the answer is 7800

Step-by-step explanation:to get the answer you need to multiply 650 times how many months there are in a year which are 12 so 650 times 12 equals 7800 I hope this helped you.

                                                                             

5 0
3 years ago
Other questions:
  • Trevor had 4 small boxes of raisins to share equally among himself and 2 friends.
    14·1 answer
  • Graph the function y=-x+x^2
    11·1 answer
  • Suppose you want to organize a community watch, one from each street. you have 5 volunteers from maple street and 3 volunteers f
    15·1 answer
  • there are two squares one has side lengths of 12in and the other has side lengths of 14in what is the total area both squares
    6·1 answer
  • Plz help fast!!!! will mark brainliest if correct
    6·1 answer
  • Explain how Pascal’s triangle allows you to compute the coefficient of x2y3 when (x − y)5 is
    12·1 answer
  • Jason enjoys watching the squirrels in his neighborhood park. They eat the red oak acorns. After the city removed 4 diseased red
    11·1 answer
  • What is the measure of the radius of S?
    9·2 answers
  • All the edges of a cube are expanding at a rate of 4 in. per second. How fast is the volume changing when each edge is 10 in. lo
    5·1 answer
  • (HELP PLEASE)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!