Builders and architects use scale models to help them design and build new buildings. An architecture
student builds a model of an office building in which the height of the model is times the height of
400
the actual building, while the width and length of the model are each times the corresponding
200
dimensions of the actual building. The model includes several triangles. Could a triangle in the model be
similar to a corresponding triangle in the actual building? Could a triangle in the model not be similar to a
triangle in the actual building? Complete the explanation.
A triangle that has vertices at one height only, meaning it is parallel to the ground, will have side lengths
1
that are each times the side lengths of the corresponding triangle in the actual building. The two
200
triangles are similar by the ? Triangle Similarity Theorem. A triangle that has vertices at several
heights will? have side lengths that form a constant ratio with the side lengths of the
corresponding triangle in the actual building. These triangles will ? be similar

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250} [/tex]

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in [tex] y = mx + b [/tex]

✅[tex] y = -\frac{1}{250}x + 59 [/tex]

5. Substitute x = 5,000 in [tex] y = -\frac{1}{250}x + 59 [/tex].

[tex] y = -\frac{1}{250}(5,000) + 59 [/tex]

[tex] y = -20 + 59 [/tex]

[tex] y = 39 [/tex]

At an altitude of 5,000 ft, temperature would be 39°F

Answer: y=−x+3

Step-by-step explanation: the line starts from top left between - 8 and -6 and goes through  right under 4 / half a square intercepts on the x axis right onto the 4 and to the part stopping between - 8 and -6 once again, so it basically goes diagonal just be sure to make those marks

Answer:

y = 1/2 + 11

Also:

Plz mark brainliest if this helped :)

Answer:

Sum he wasn't suupposed to be doing....... ;-;

Step-by-step explanation:

Answer: P(t) = 600*(1.041)^t.

Step-by-step explanation:

An exponential growth can be written as:

P(t) = A*(1 + r)^t

Where:

A =  initial population = 600

r = rate of growth in decimals = 4.1%/100% = 0.041.

t = number of units of time.

Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.

Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.

But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:

P(t) = 600*(1 + 0.041)^t

P(t) = 600*(1.041)^t.

Answer:

p> 4/3

Step-by-step explanation:

Answer:

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Step-by-step explanation:

The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

[tex]\cos \alpha = \frac{h}{r}[/tex] (1)

Where:

[tex]\alpha[/tex] - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

[tex]h[/tex] - Vertical distance between the tower and the platform, measured in meters.

[tex]r[/tex] - Length of the zip line, measured in meters.

If we know that [tex]\alpha = 76^{\circ}[/tex] and [tex]h = 232.1\,m[/tex], then the length of the zip line is:

[tex]r = \frac{h}{\cos \alpha}[/tex]

[tex]r = \frac{232.1\,m}{\cos 76^{\circ}}[/tex]

[tex]r = 959.401\,m[/tex]

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Answer:

initial starting value.

Step-by-step explanation:

Answer: x= 1 + i √ 47/6

Step-by-step explanation: solve using the quadratic formula

Solve using the quadratic formula.

Answer:

the answer would be B

Step-by-step explanation:

solve using quadriatic formula because we are doing quadriatics

Answer:

9

Step-by-step explanation:

The first step is the stuff in the parenthesis which equals to 1/2(18). The next step is to multiply 18 by 1/2. That is super simple because it is just taking one half of 18 which is 9. Plz vote brainliest

Answer:

x intercept: (-1/7, 0) or (.14, 0)

y intercept: (0, 1/4) or (0, .25)

Step-by-step explanation:

Answer:

x- (−0.142857142857143,0)

y- (0, .25)

Step-by-step explanation:

The x-intercept:

Plug y=0 into the equation and solve the resulting equation 7x−5=−6 for x

(−1/7,0) = (−0.142857142857143,0)

The y-intercept:

Plug x=0 into the equation and solve the resulting equation −5=4y−6 for y

(0,1/4) = (0, .25)

Answer:

A. 3.794 x 10^6

Step-by-step explanation:

Km = miles x 1.609

240 x 1.609 = 386.24 km

The answer is D. 386 kilometers

Answer:

D. 386

Step-by-step explanation:

If we know that we have 240 miles then we need to find the Km/m which is 1.60934 Km to 1 M, and we have the equation y= 1.60934(x), y bing the total amount of Km, or in other words, your answers, and x is the miles. Now change that x into 240 so now you have y= 1.60934(240) which comes out to 386.2416 Km or 386Km as seeing you have to round tho the nearest whole number.

Answer:

Its b

Step-by-step explanation:

if -2x-1=2 then 2+3 = 5

which is (-1,5)

Answer:

B

Step-by-step explanation:

that man's seems to be good at math as well

Answer:

HI = GJ ( GIVEN) s

GH = IJ ( given) s

Gi = Gi ( common side) s

And boom

GHI = Gji ( mention above eq, being SSS)

S mean side

Answer:

simplify = - 4 x -2  factored = 2 (-2x - 1)

Step-by-step explanation:

Answer:

Gerry arrived at the bus station at 12:30 P.M.

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.

Answer:

z = 3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Using the altitude- on- hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

z² = 9 × (9 + 4) = 9 × 13 = 117 ( take square root of both sides )

z = [tex]\sqrt{117}[/tex]

  = [tex]\sqrt{9(13)}[/tex]

  = [tex]\sqrt{9}[/tex] × [tex]\sqrt{13}[/tex]

  = 3[tex]\sqrt{13}[/tex]

Answer:

all you do is add

Step-by-step explanation:

Answer:

well the question asked for the point (2,2)

Answer:

2,2

Step-by-step explanation:

You look at where the x is on the x axis, then you look at where the x is on the y axis to find the number, the x number always is written first.

Answer:

7/12

There are 7 students for every 12 alumni

Step-by-step explanation:

So, the ratio of students to alumni is 630/1080. This means there are 630 students for every 1080 alumni.

However, we can simplify this. If you treat this like a fraction and simplify, it will be much easier. Both numerator and denominator can be divided by 90, so that's what we'll do. 630/90 is 7. 1080/90 is 12.

Therefore, the correct answer is 7/12!

Hope I helped!!!!!!

Answer:

For a line equation for the form of y=mx+b, the slope is m.

Slope of 3x+y=6: m = -3 (m equals negative 3).

Answer:

Step-by-step explanation:

Step one:

given data

Principal= $2,200

SImple interest =$528

Time = 2years

Rate = ?

Required:

Rate R

The simple interest is expressed mathematically as

SI=PRT/100

substitute we have

528=2200*R*2/100

cross multiply

528*100=2200R

divide both sides by 2200

R=52800/2200

R=24%

Answer:

I will take a Google play card, or Playstation either one.

Step-by-step explanation:

Check out my Bio for my YT channel please also.

Answer:

Hey what’s up this is so kind of you! Ive been trying to get an xbox giftcard for my older brother cuz he’s having a hard time so that would mean the world to me. Thanks!! :)))

Step-by-step explanation:

Answer:

x is 50

y is 55

Step-by-step explanation:

Let us start working with the second patio

At any point in time, the total measure of the angles of a triangle is 180

Thus in the second patio;

x + 20 + 50 + 60 = 180

x + 130 = 180

x = 180-130

x = 50

In the first patio;

x + 10 + y + 15 + 70 = 180

substitute 50 for x

50 + 10 + y + 65 = 180

60 + 65 + y = 180

y = 180-60-65

y = 55

Answer:

the other answer above is wrong,

x=50

y=35

Answer:

50

Step-by-step explanation:

Hopeful this is helpful!

Step-by-step explanation:

      a. p is 20% of 190. How many pennies do you have?

p=.20 x 190=p p= 38 pennies

      b. 190 is 200% of r. How many rare coins do you have?

190/2=r   r(rare coins) = 95 rare coins

     c. n is 60% of r. How many nickels do you have?

n=.60 x 95=n n= 57 nickels

:)

Answer:

28.85

Step-by-step explanation:

30% 30% of $96.50 is $28.95

Answer:

$67.55

Step-by-step explanation:

30% off that was 28.95 so you subtract

Answer:

3.

..2330

Step-by-step explanation: