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2 years ago

Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the estimate using front-end estimation?

Mathematics

2 answers:

sdas [7]2 years ago

6 0

Answer:

-21/5 = -5.25 or -5

Step-by-step explanation:

It is so because I estimated the -21.87 to -21 because of the 8 being higher than five. I estimated the 4 to 5 because of the 7 being higher than five also.

Tems11 [23]2 years ago

4 0

-5.25
-4.2
-5
-4
This is how we solve this problem

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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

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

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

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(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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2 years ago

The fastest time for completing an obstacle course is 218 seconds. Artest completed the first half of the course in 95 seconds.

Anon25 [30]

Answer:

219 Seconds ; He was 1 second faster

Step-by-step explanation:

Two halfs equal one whole, meaning both of the times added will equal the full time he took:

95+124=219

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Step-by-step explanation:

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