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raketka [301]
4 years ago
7

a necklace is being made with beads that are 1.25 centimeters in a diameter each. The necklace us 30 centimeters long. How many

beads are needed?
Mathematics
1 answer:
denpristay [2]4 years ago
4 0
<span>Since the beads are exactly 1.25 centimeters long it would then take 24 beads side by side to get to a length of 30 centimeters for the necklace. In order to figure this out in written form you would then start by dividing 30 by 1.25. Your equation should look like this when it is done -- 30/1.25=24.</span>
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Use your knowledge of functions to complete the table below. Identify whether or not each representation is a function and be su
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YesUs

Step-by-step explanation:

the vertical LIne test. The lines intercept, so it is not a function.

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Select the equation and solution for the problem. Let x represent the unknown number.
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Step-by-step explanation

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142 students are going on a field trip. There will be six drivers, and two different types of vehicles. A bus can hold 51 people
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Answer: 2 buses and 4 vans would be needed

Step-by-step explanation:

Let x represent the number of buses that would be needed.

Let y represent the number of vans that would be needed.

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142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that

51x + 10y = 142 - - - - - - - - - - - 1

Substituting x = 6 - y into equation 1, it becomes

51(6 - y) + 10y = 142

306 - 51y + 10y = 142

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8 0
4 years ago
Use the alternative form of the dot product to find u · v.
vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta

\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150

\overrightarrow{u}.\overrightarrow{v}= -1169.13

(b) \overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}

\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}

\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}

\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}

Let the angle between them is θ

The formula in terms of the dot product is given by

Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}

u=\sqrt{0.5^{2}+0.866^{2}}=1

v=\sqrt{-0.707^{2}+0.707^{2}}=1

Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}

Cos\theta=0.2587

θ = 75°

(c) \overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}

u=\sqrt{1^{2}+4^{2}+8^{2}}=9

Cos\alpha =\frac{1}{9}

Cos\beta =\frac{4}{9}

Cos\gamma  =\frac{8}{9}

7 0
4 years ago
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