the empire state building in New York city is 1,454 feet tall. a model of the building is 24 inches tall. what is the ratio of the height of the model to the height of the actual empire state building?
1) 1 : 727
2) JKML ~ PQRS; 8 : 4.8
3) GFH ~ GHI ~ HIF
4) x = 9/4 y = 15/4
5) 15.7
6) Never
7) No (prolly wrong but fingers crossed)
8) 78 w/ square root sign
9) 27
10) 105 w/ a square root sign
11) m=25
12) x=20
Your on your own w/ the other ones, sorry. Also sorry if any are wrong, this is just what I'm abt to put in for my test.
All correct but 3 and 12
The Empire State Building in New York City is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State Building?
1:727
Are the polygons similar? If they are, write a similarity statement and give the scale factor.
JKML ~ PQRS; 8: 4.8
What similarity statement can you write relating the three triangles in the diagram?
GHF ~ GIH ~ HIF
What are the values of x and y?
x = 64/15, y = 136/15
What is the value of x to the nearest tenth?
10.5
Are a parallelogram and a pentagon always, sometimes, or never similar?
Never
Are two triangles similar? How do you know?
Yes; by AA~
What is the geometric mean of 3 and 7?
Square root of 21
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa?
30
What is the length of the altitude drawn to the hypotenuse?
Square root of 105
What is the solution to the proportion? 5/9 = m/63
35
What is the value of x, given that PQ // BC?
10
24in : 1454ft = 2ft : 1454ft = 1:727
24 inches = 2 feet
2/1454
1.The Empire State building in New York City is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State building?
A)727:12
B)727:1
C)12:727
D)1:727
2. Are the polygons Similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
A) TUWV-DEF; 4.5:2.8
B)TUWV-EFGD; 6:2.1
C)TUWV-DEF; 6:4.5
D)The polygons are not similar
3. What similarity statement can you write relating the three triangles in the diagram?
A)JMK-MLK-JLM
B)JKM-LMK-JLM
C)JLM-MLK-JKM
D)JKM-MKL-MJL
4.What are the values of x and y?
A)x=136/12.y=17/15
B)x=64/15.y=17/15
C)x=8/15.y=136/15
D)x=64/15.y=136/15
5. Whaaat is the value of x to the nearest tenth? The figure is not drawn to scale.
A)x=35.6
B)x=10.5
C)x=4.9
D)x=1.5
6.AAre the two triangles similar? How do you know?
A)no
B)yes; by AA
C)yes;by SAS
D)yes; by SSS
7. What is the geometric mean of 6 and 13?
A)2^13
B)2^26
C)^78
D)49
8. A salsa recipe uses green pepper, onion, aand tomato in the extended ratio 3;5;7. How many cups of tomato are needed to make 105 cups of salsa?
A)7
B)21
C)35
D)49
9..What is the length of the altitude drawn to the hypotenuse?The figure is not drawn to scale
A)24
B)^24
C)143
D)^143
10.What is the solution to the proportion? 6/11=m/121
A)66
B)11
C) 1/66
D)1
11.What is the given value of x, given that PQ ll BC?
A)10
B)5
C)7
D)8
1)D
2)C
3)A
4)D
5)B
6)A
7)C
8)D
9)D
10)A
11)B
To find the ratio of the height of the model to the height of the actual Empire State Building, we need to convert both measurements to the same units:
1. Convert the height of the Empire State Building from feet to inches:
1,454 feet * 12 inches/foot = 17,448 inches
2. Now we can calculate the ratio:
Ratio = Height of the model / Height of the Empire State Building
Ratio = 24 inches / 17,448 inches
Simplifying the ratio, we get:
Ratio = 1/727
Therefore, the ratio of the height of the model to the height of the actual Empire State Building is 1:727.