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BaLLatris [955]
3 years ago
13

Find the missing dimension use the scale factor 1:12 model 32 cm find the actual in m

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Given:

The scale factor is 1:12.

Dimension of model = 32 cm

To find:

The actual dimension in m.

Solution:

Let x be the actual dimension.

The scale factor is 1:12 and the dimension of model is 32 cm.

\dfrac{1}{12}=\dfrac{32}{x}

On cross multiplication, we get

x=32\times 12

x=384\ cm

x=3.84\ m             [\because 1\ m=100\ cm]

Therefore, the actual dimension is 3.84 m.

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Point L is on line segment KM
Anna11 [10]

Answer:

KL = 15

Step-by-step explanation:

Given that,

Point L is on the line segment KM.

We have, KM=5x+10, LM=4x, and KL=3x

ATQ,

KM = KL + LM

Putting all the values, we get :

5x+10=3x+4x

5x+10 = 7x

Taking like terms together

5x-7x=-10

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x=5

Put x = 5 in KL = 3x

KL = 3(5) = 15

So, the value of length KL is 15.

7 0
4 years ago
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as
sasho [114]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

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substitute the equation 1 in equation 2

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10+2y+2y <= 180

4y <= 180-10

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y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

7 0
3 years ago
13,500 deposit earning 3.3% compound monthly after 1 year
kvv77 [185]

Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

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3 years ago
How many pairs of while number have a sum of 110
Vesnalui [34]
There is a lot of numbers
3 0
3 years ago
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The function rule y = –0.5cos(x) – 3 describes graph shown.<br><br> answer is c
DedPeter [7]

Answer:

The answer is C.

Step-by-step explanation:

It is down 3 and it is not D. Just got it right too.

6 0
4 years ago
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