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2 years ago

3/4 x 5/6 equals what

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

7 0

Answer:

5/8

You just have to multiply the bottom and the top then simplify

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Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat

Karolina [17]

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

$A=p(1+r)^t$

substituting we have

$A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\$

The final amount is $110.25

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2 years ago

What’s the area of the figure shown below???

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The answer is 27 yards squared

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2 years ago

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M-4=2m how to solve this

Phantasy [73]

$m-4=2m\\m-2m=4\\-m=4\ \ \ \ \ \ \ \ \ \ \ \ |*(-1)\\m=-4$

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2 years ago

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CAN SOMEONE PLEASE HELP

Inessa [10]

That Is The Correct answer ) 20

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3 years ago

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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°

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

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

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

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

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3 years ago