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Kaylis [27]
3 years ago
8

Suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3⁄4,9⁄10). The same segment on the actual

structure has the end points (0,0) and (30,36). What proportion could model this situation?
Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Segment drawn on scale having end points O (0,0) and A (\frac{3}{4},\frac{9}{10}) is a line segment.

O A= \sqrt{[\frac{3}{4} -0]^{2} +[\frac{9}{10} -0]^{2}\\\\

O A = = \sqrt{\frac{9}{16}+\frac{81}{100}

     = \sqrt\frac{549}{400}

    = \frac{\sqrt{549}}{20}

Now ,  the same segment actual structure having end points O'(0,0) and B (30,36) is also a line segment.

O'B= \sqrt{(30-0)^{2}+(36-0)^{2}

     = \sqrt{900+1296}

     = \sqrt {2196}

     = 2√549

\frac{\text{Actual length}}{\text{Length on scale}}=\frac{OB'}{OA}=\frac{2\sqrt549}{\frac{\sqrt549}{20}}=40 [Cancelling √549 from numerator and denominator]

So, Actual length = 40 × Length on scale

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A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more pe
Molodets [167]

Answer:

T1(n) = 25n +119.50  where n belongs to 1 \leq n.

T2(n) = 20n + 59 where n belongs to 50\leq  n.

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50  

Let the total cost of the restaurant be T

Cost for this case will be T1  

T1(n) = 25n +119.50  where n belongs to 1 \leq n

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to 50\leq  n.

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.  

7 0
3 years ago
Please help me i’m failing
tatiyna
A. 2x - 3y is the answer
3 0
3 years ago
Y+100=x^2 graph the following equation
enot [183]
Slope-intercept form is the easiest to help visualize graphs so you would isolate the y making it y = x^2 - 100. It is now clear to see that this is the parent graph of y=x^2 shifted down 100 units.
8 0
4 years ago
A triangle has angles that measure 46° and 61° what is the measure of the third angle
Brilliant_brown [7]
A triangle in total is 360<span>°. So you add what you are given

46 + 61 = 107

and subtract that from 360

360 - 170 = 190

And the remainder is the last unknown angle.

So, the third angle is 190</span><span>°</span>
8 0
3 years ago
Read 2 more answers
50 POINTS please help me I really need it
Mars2501 [29]

A Domain is the lowest and highest x value (-5,-2) is how it is formatted this means -5 to -2

Range is the lowest to highest Y value so (-3,3)

(-5,-2) - domain

(-3,3) - range

B Intercept are when the line crosses the acis labeled x so

(-2,0) and (2,0)

C F(1) means what is x when y is equal to 1 so we must estimate this

(-1,1) and (1.5,1)

D f(x) = -3 is when y is -3 so we look at the graph to see

-5 and 4 are the values for x

E f(x) < 0 means when y is above the x axis

This is between the x values of -2 and 2 or (-2,2)


7 0
3 years ago
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