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bulgar [2K]
3 years ago
14

11. A board was cut into two pieces whose lengths are in the ratio 2:5. The longer piece was 45 cm.

Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer:

The shorter piece is 18 cm long.

Step-by-step explanation:

A ratio can be written as a fraction. So, 2:5 can be written as \frac{2}{5}

Let the shorter piece be x cm long.

This means:

\frac{x}{45} = \frac{2}{5}

If we cross multiply we get

5x = 2(45)

5x = 90

x = <u>18</u>

KATRIN_1 [288]3 years ago
5 0

Answer:

Step-by-step explanation:

2 : 5

x : 45

x=45x2/5

x=90/5

x=18

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4 years ago
Community Gym Charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fr
zheka24 [161]
For the Community Gym:
Membership Charge = $50
Monthly fee = $55
So for the 1st month total charge = $(50 +55)
                                                       = $105
For each month the member pays $55
So after the 2nd month total payment = $(105 + 55)
                                                             = $160
After 3rd month total payment = $(160 + 55)
                                                 = $215
After 4th month total payment = $(215 + 55)
                                                 = $270
After 5th month total payment = $(270 + 55)
                                                 = $325
After 6th month total payment = $(325 + 55)
                                                 = $380
Now for the Workout Gym:
Membership Charge = $200
Monthly Charge = $45
So for the 1st month the member pays = $(200 + 45)
                                                                = $245
For the 2nd month total payment = $( 245 +45)
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For the 3rd month total payment = $(290 + 45)
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For the 4th month total payment = $(335 + 45)
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3 0
3 years ago
find the total surface area of the following cuboids length=7cm,breadth=4cm,height=3cm​ please help me with this problem.help me
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Answer:

122

Step-by-step explanation:

SA=2lw+2lh+2hw

SA = 2(7)(4) + 2(7)(3) + 2(3)(4)

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3 years ago
Decide whether the graphs of the given euqations are parallel perpendicular or neither
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<h3>Answer: C) perpendicular</h3>

Explanation:

Each equation given to you is in y = mx+b form (aka slope intercept form).

The slope m is what we'll focus on.

The first equation has slope of 1, while the second equation has slope -1.

The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.

Or you could note that -1 is the negative reciprocal of 1, or vice versa.

So there are a few options to see why the lines are perpendicular.

4 0
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1. What is the solution of n^2-49=0?
Effectus [21]

<u>Answer:</u>

<h2>1. a</h2><h2>2. b</h2><h2>3. b</h2><h2>4. b</h2><h2>5. 22</h2>

<u>Explanation:</u>

1.

n²-49=0

n=√49

n=7

2.

x²+64=0

x=√64

x=8

3.

if A=144x²

l = √A

l = √(144x²)

l = 12x

4.

b = (24×2)/3b

b = 48/3b

b = 16/b

b² = 16

b = √16

b = 4 in <em>(-4 is correct in algebra but there's no negative lengths in geometric shapes)</em>

5.

x²+z = 103

x² = 103-z

x = √(103-z)

for x = -9 and 9    (103-z) must equal 81

z = 103 - 81 = 22

x = √(103-22)

x = √81

x = -9 , 9

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