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cluponka [151]
2 years ago
10

Darren wants to build a regulation size pool table that is 9 feet in length. The plans he ordered are 18 x 36”. What is the scal

e factor of the dilation he must used to build a regulation size table
Mathematics
1 answer:
-BARSIC- [3]2 years ago
6 0

Answer:

Width and length of the plan is 18 inches and 36 inches. The required length of the table is 9 feet, which is 9 * 12 = 108 inches

So scale factor = \frac{Required length of the table}{Length of the plan} = \frac{108}{36} = 3

The answer is 3

Pls mark as brainliest

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A traveler pulls a suitcase, as shown in the figure.
hjlf

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

4 0
2 years ago
5.
Fiesta28 [93]
A.) 135 miles in 3 hours = 45 miles per hr

B.) 22 miles in 1 hour= 22 miles per hr

C.) 7.5 miles in 1/4 hour = 30 miles per hr

D.) 100/3 in 2/3 hour = About 49.9 mph

E.) 97.5 in 1.5 hours = 65 miles per hr
4 0
2 years ago
Calculate the perimeter of this shape.
Sloan [31]

Step-by-step explanation:

Hello there!

Just double the given sides!

(18*2)+(12*2)=60 cm.

There you are!

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4 0
3 years ago
Linear equation topic. (Lisa is 5 years younger than his elder brother,Daniel.The product of their ages is 2/3 of their grandmot
alisha [4.7K]
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x\:  =  \:  \frac{ - b \:   \frac{ + }{ }   \:  \sqrt{ {b}^{2}  \:  -  \: 4ac} }{2a}
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
7 0
3 years ago
What is the frequency of yellow
Zina [86]

Answer:

5.131 × 10¹⁴  Hz

Step-by-step explanation:

<u>Planck relation</u>

\large\boxed{E = hf}

where:

  • E = Energy of the photon (J).
  • h = Planck's constant (J · s).
  • f = frequency of light produced (Hz).

Given values:

  • E = 3.4 × 10⁻¹⁹ J
  • h = 6.626 × 10⁻³⁴ J · s

Substitute the given values into the formula and solve for f:

\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f

\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}

\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}

\implies f=0.5131\times 10^{(-19-(-34))}

\implies f=0.5131 \times 10^{15}

\implies f=5.131 \times 10^{14}

8 0
1 year ago
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