All categories

3 years ago

3. What is the scale factor of Figure B to Figure A?

Mathematics

1 answer:

xxMikexx [17]3 years ago

4 0

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

$k = \frac{image \: length}{corresponding\:object \: length}$

Figure B is the image of A

$k = \frac{10}{4} = \frac{25}{10} = \frac{21.5}{8.6} = 2.5$

Therefore the scale factor is 2.5

You might be interested in

If anyone could solve this question for me while showing the steps. It would be GREATLY appreciated

Blizzard [7]

this is a very annoying problem, with lots of steps. it is on a next level of dragging on and on

Step-by-step explanation:

You can split this into different shapes. A triangle, a rectangle, and a void of a quarter circle. The total area is rectangle+triangle-quarter circle.

We find the second side of the triangle by doing 65-48=17

We then use the pythagorean theorem to find the third length. This is about 49.1426.

We can then use whatever method you'd like for finding the area of the triangle. it turns out to be about 417.7125

Next, we find the rectangle, easy enough, 49.1426*48=2358.8448

which seems a bit scuffed until you realize that the diagram itself is scuffed as well. Great, quarter circle next

16*16*pi/4=201.0619

Alright, now to combine it to find the area.

417.7125+2358.8448-201.0619=2575.4954

great, now let's find the perimeter, simple enough. Curved perimeter+straight perimeter-that one corner in the bottom right

52+48+49.1426+65-32+25.1327=207.2753

and now we convert to meters

207.2753feet=63.1775meters

We are almost done! Now let's find the cost.

Fencing first:

63.1775*8.50=537.01

Then the cement

2575.4954*5.50=14165.2247

Then we add it up and apply tax:

537.01+14165.2247=14702.2347

14702.23*1.13=$16613.53

if you find anything wrong message me, I may have made errors because its 10pm and i need sleep. I recommend you work through my steps on your own as well. There might be complications with rounding as well, so yea. Hope this helps!

3 0

2 years ago

I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):

Aleonysh [2.5K]

Given:

$m\angle L=m\angle Z=70^\circ$

$m\angle N=m\angle Y=90^\circ$

To find:

The value of $m\angle 1$ .

Solution:

In triangle XYZ,

$m\angle Y=m\angle N=90^\circ$ (Given)

$m\angle Z=m\angle L=70^\circ$ (Given)

$m\angle X+m\angle Y+m\angle Z=180^\circ$ [Angle sum property]

$m\angle 1+90^\circ+70^\circ=180^\circ$

$m\angle 1+160^\circ=180^\circ$

$m\angle 1=180^\circ-160^\circ$

$m\angle 1=20^\circ$

Therefore, the $m\angle 1$ is 20°.

5 0

3 years ago

Special right triangles: what is the value of x? enter your answer in the box.

tiny-mole [99]

I think you meant to add more to your question (posting the specific problem).
In general, one special right triangle is the 45°-45°-90° triangle, in which both legs are congruent and the hypotenuse = √2 * the length of the leg. if you happen to not have the length of the leg, the formula for finding the leg is: leg = hypotenuse / √2

Another special right triangle is the 30°-60°-90° triangle. With this kind of triangle the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.
hypotenuse = 2 * shorter leg
longer leg = √3 * shorter leg

7 0

3 years ago

Jules has 1200 and is spending 40 per week. kelsey has 400 and is saving 50 a week. in how many weeks, will jules and kelsey hav

expeople1 [14]

After x weeks:
Jules will have: 1,200 + 40 x.
Kelsey will have: 400 + 50 x.
If we want to know in how many weeks will they have the same amount of money, we will make an equation:
400 + 50 x = 1,200 + 40 x
50 x - 40 x = 1,200 - 400
10 x = 800
x = 800 : 10
x = 80
Answer: In 80 weeks they will have the same amount of money.

4 0

3 years ago

Which conditional statement is represented by the verb diagram below

Alex777 [14]

I meant verb ...... Stupid auto correct

4 0

3 years ago