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
mamaluj [8]
3 years ago
11

Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

You might be interested in
two chefs are trying to break world record for the longest spaghetti. chef a measures his spaghetti strand to be 503 2/3 ft chef
zhuklara [117]
Lenght spaghetti chef a:
503 2/3ft= (503*3+2)/3=1511/3 =503,(6)
lenght spaghetti chef b:
503,66

Because 503,(6)>503,66
=> lenght spaghetti chef a > lenght spaghetti chef b
So, the winner must be chef a, but, if 503.66 rounds to 503.7, also 503(6) rounds to 503.7, and in this case
lenght spaghetti chef a= lenght spaghetti chef b
So, <span>chef a should protest the judges' decision, because his </span>lenght spaghetti is ≥ lenght spaghetti chef b.





4 0
3 years ago
Read 2 more answers
The system of equations graphed below has how many solutions?
Artist 52 [7]
Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.
5 0
3 years ago
From a point 100 m from a building the angles of elevation of the top and bottom of a flagpole atop a building are 54.5 degrees
AnnZ [28]

Answer:60ft

Step-by-step explanation:The height of the flagpole is approximately  

60

feet.

Explanation:

Always try to draw a diagram.

enter image source here

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures  

42

˚

, the top angle in this triangle measures  

180

˚

−

90

˚

−

42

˚

=

48

˚

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it  

H

.

tan

42

˚

1

=

H

500

H

=

500

tan

42

˚

I would keep it in exact form until the last step.

We now devise an expression for the height of the building (without the flag pole). Call it  

a

tan

38

˚

1

=

a

500

a

=

500

tan

38

˚

We can now state that

h

=

H

−

a

h

=

500

tan

42

˚

−

500

tan

38

˚

h

≈

59.559

≈

60

feet

Hopefully this helps!

Answer link

EET-AP

Apr 10, 2017

The flagpole is  

60

f

t

in height to the nearest foot.

Explanation:

1) The flagpole is on top of a building.

2)Angles of elevation both measured from point  

500

f

t

from building

3) Angle of elevation to the top of building is  

38

d

e

g

4) Angle of elevation to the top of flagpole is  

42

d

e

g

The information above will provide us with two right angle triangles, one smaller one inside a larger one.

Both will have a base of  

500

f

t

.

The smaller triangle will have a base angle  

β

of  

38

deg opposite the  

90

deg, and the larger triangle will have a base angle  

β

of  

42

deg.

From this information we can find the heights of the building and the building + pole using the definition of the tangent of the two base angles  

β

:

tan

(

β

)

=

o

p

p

a

d

j

where the  

o

p

p

is the height and the  

a

d

j

is the  

500

f

t

o

p

p

(

b

u

i

l

d

)

=

tan

(

38

)

⋅

(

500

f

t

)

=

390.6

f

t

=

height of building

o

p

p

(

f

l

a

g

)

=

tan

(

42

)

⋅

(

500

f

t

)

=

450.2

f

t

=

height of building + pole

Then to the nearest foot the height of the flagpole is:

450.2

f

t

−

390.6

f

t

=

60

f

t

4 0
3 years ago
Need help ASAP giving 55 points and a branleist
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

1.

Igneous rock can change into sedimentary rock or into metamorphic rock. ... Igneous rock forms when magma cools and makes crystals. Magma is a hot liquid made of melted minerals. The minerals can form crystals when they cool.

2. The three processes that change one rock to another are crystallization, metamorphism, and erosion, and sedimentation. Any rock can transform into any other rock by passing through one or more of these processes.

3. The three types of metamorphism are Contact, Regional, and Dynamic metamorphism. Contact Metamorphism occurs when magma comes in contact with an already existing body of rock.

3 0
3 years ago
How many times does 1/4 go into 13 3/4?
Karolina [17]
55 times. All you needed to do was multiply 13 by 4 and then add three.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Raphael went to the store and bought212 pounds of chicken for $9.00. What was the cost per pound of the chicken? Round your answ
    5·1 answer
  • Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is
    11·1 answer
  • A countertop in the shape of a parallelogram has a base of 90 centimeters and a height of 50 centimeters. What is the area of th
    8·2 answers
  • In a bag, there are 10 black plastic chips, 7 yellow, 5 red, and 3 green. Two chips are drawn at random with replacement. Find P
    6·1 answer
  • The planning committee voted to increase the customer service budget by 10% from last year. If the budget last year was 56,000,
    15·2 answers
  • Es
    14·1 answer
  • What is the answer?​
    10·2 answers
  • Help is very much needed :)
    9·1 answer
  • Which word describes the slope of the line?<br><br> positive<br> negative<br> zero<br> undefined
    5·2 answers
  • Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!