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
Semmy [17]
3 years ago
15

Can anyone solve this for me?? I will give brainliest and 5 stars and thanks

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

3 cm

Step-by-step explanation:

When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.

A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:

\frac{2}{9} =\frac{h}{13.5}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

9h=2(23.5)\\19h=27

I now solve for h by dividing by 9.

\frac{9h}{9} =\frac{27}{9} \\h= 3

The new height is 3 cm.


You might be interested in
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponenti
melomori [17]

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that m = 100, \mu = \frac{1}{100} = 0.01

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

P(X > x) = e^{-\mu x}

This is P(X > 190). So

P(X > 190) = e^{-0.01*190} = 0.1496

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

P(X > x) = 0.08

So

e^{-0.01x} = 0.08

\ln{e^{-0.01x}} = \ln{0.08}

-0.01x = \ln{0.08}

x = -\frac{\ln{0.08}}{0.01}

x = 252.6

Capacity of 252.6 cubic feet per second

5 0
3 years ago
2. Irene wants to list the factors for 88. She
kati45 [8]

Answer:

Yes

Step-by-step explanation:

2•44=88

4•22=88

8•11=88

4 0
3 years ago
Read 2 more answers
I need help right now. report cards are coming in soon and i need to get my grades up​
saul85 [17]

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

4 0
3 years ago
Read 2 more answers
Please help, i’ll mark brainliest.
nalin [4]

Answer:

264 cu

Step-by-step explanation:

This is because you have to add it from all sides, the first prism is 144 cu and then the second one is, 120, and when you add both of those together you get 264

<u><em>Thus the answer is....264</em></u>

5 0
2 years ago
What is the value of x?<br><br> What is the measure of
liraira [26]

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

4 0
3 years ago
Other questions:
  • Which statements are true?
    5·1 answer
  • What is a cube number that us greater than 100 but less that 200
    7·1 answer
  • Conditional probabilities
    11·1 answer
  • Sam is measuring the velocity of a car at different times. After two hours, the velocity of the car was 50km/h. After six hours,
    13·1 answer
  • If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
    10·1 answer
  • Crystal baked 54 muffins for her family and friends. Her friends take 1/6 of the muffins. How many muffins does she have left? O
    10·1 answer
  • Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8
    11·2 answers
  • Rewrite the following without an exponent. 6^-2<br> Please answer ASAP!
    15·1 answer
  • 1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
    7·1 answer
  • John's phone bills for the last five months are $24.71, $22.13, $19.87, $27.33, and $26.76.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!