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monitta
3 years ago
12

Find the measure m<1

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

I think m 1=  54'

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
A community hall is shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating wit
Licemer1 [7]
Total cost for tiles and paints is $924.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.



Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,


Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.


Given: 1m squared floor tiles costs $3. So,

Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.

Therefore, the combined total cost of tiles and paint is $924.
3 0
2 years ago
A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri
pychu [463]
Y=300+40g
Y=5000
5000=300+40g
-300
4700=40g/40
117.5=g
About 117 people without going over budget.
5 0
3 years ago
Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.
adell [148]

For this case we have to represent the following expression algebraically:

"10 less than x is -45"

So:

10 less than x is represented as: x-10

Then, the complete expression is represented as:

x-10 = -45

Adding 10 to both sides of the equation:

x = -45 + 10\\x = -35

Thus, the value of the variable is x = -35

Answer:

x = -35

4 0
3 years ago
PLZ HELP ASAP SOLID GEOMETRY
eduard
It should be E) none of the above because:

height = 0.5
Radius = 1
diameter = 2
7 0
3 years ago
Read 2 more answers
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