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Alla [95]
3 years ago
8

1/5 of a box of erasers and youneed to share with 3 people including yourself what fraction of the box would each person get

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0
1 1. 1
— x. — = —
4. 5. 20

1/20 is the answer
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Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.
mart [117]

Answer:

a\cdot b=-2000\sqrt{2}

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product  a · b.

The formula of dot product is

a\cdot b=|a||b|\cos \theta

where, θ is the angle between a and b.

Substitute the given values in the above formula.

a\cdot b=(80)(50)\cos (\frac{3\pi}{4})

a\cdot b=4000\cos (\pi-\frac{\pi}{4})

a\cdot b=-4000\cos (\frac{\pi}{4})           [\because \cos (\pi-\theta)=-\cos \theta]

a\cdot b=-4000\frac{1}{\sqrt{2}}

a\cdot b=-\frac{4000}{\sqrt{2}}

Rationalize the above equation.

a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}

a\cdot b=-\frac{4000\sqrt{2}}{2}

a\cdot b=-2000\sqrt{2}

Therefore, the value of a · b is a\cdot b=-2000\sqrt{2}.

7 0
3 years ago
Read 2 more answers
The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 u
balandron [24]

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

<h3>What is variation?</h3>

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

Learn more about Variation: brainly.com/question/6499629

SPJ1

3 0
2 years ago
Can someone just answer these lol idk what to say .
Crank

Answer:

1.) -11x        2.)-2x

4 0
3 years ago
Read 2 more answers
The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?
astraxan [27]
T= 8/100 × $8.29

t= $66.32/100

t= $0.66 rounded to the nearest penny
6 0
2 years ago
Consider the graph of this absolute value function. Drag and drop the choices to the boxes to correctly describe the end behavio
bezimeni [28]

Answer:

39192jwjsosnsia

Step-by-step explanation:

<h2>ososisoenslaksiodv</h2>
6 0
2 years ago
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