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tester [92]
3 years ago
14

Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimension

s of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer: C. 0.8 ft x 1 ft

Step-by-step explanation:

The scale factor of 1/5 means you multiply

the dimensions by 1/5

4 * 1/5 = 0.8

5 * 1/5 = 1

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Can the sides of a triangle be in the given ratio? 3:4:5
RUDIKE [14]

Answer:

Yes

Step-by-step explanation:

In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:

a + b > c

a + c > b

b + c > a

Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.

With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:

a + b > c  ⇒  3x + 4x  >?  5x  ⇒  7x > 5x  ⇒  This is true

a + c > b  ⇒  3x + 5x  >?  4x  ⇒  8x > 4x  ⇒  This is also true

b + c > a  ⇒  4x + 5x  >?  3x  ⇒  9x > 3x  ⇒  This is true

Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Read 2 more answers
Every Pint is 2 cups.Write an equation to express the total number of cups (Z) in (Y) pints.
IceJOKER [234]
Pints = y
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2z = y
7 0
2 years ago
If you add one third of a number to the number itself you get 16 what is the number
sineoko [7]
The number is 12

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6 0
3 years ago
Studio fee:$8 per hour <br> Vase:$10
aleksandrvk [35]

Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

p(x)=8x+10

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

46=8x+10

Subtract 10 from both sides:

36=8x

Divide both sides by 8:

x=36/8

Reduce:

x=4.5

So, we spent about 4.5 hours.

8 0
3 years ago
SOMEBOODY HELP ME SOLVE THIS PLS!!<br><br> 1.4x-10=5x+15<br> 2.2x+2=2x+2
Rus_ich [418]

Answer:

x = -25

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Step-by-step explanation for 1:

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Step-by-step explanation for 2:

Both equations are the exact same. So whatever number you put, the answer will be right

8 0
2 years ago
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