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2 years ago

Write an equation to show the best way to estimate 208 ÷ 7 using compatible numbers

Mathematics

1 answer:

Korvikt [17]2 years ago

5 0

Answer:

210 ÷7 = 30

Step-by-step explanation:

We can round the numbers to numbers that make the math easier

I will round 208 to 210

We know 21 divide by 7 is 3

210 ÷7 = 30

This is very close to the actual answer.

208÷7 = 29.71428571........

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What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$

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2 years ago

What is the area of the triangle? 6 18 units

sweet [91]

Answer:

54 units

Step-by-step explanation:

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2 years ago

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Justify your reasoning

love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,

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2 years ago

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victus00 [196]

Answer:

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Step-by-step explanation:

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2 years ago

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irina [24]

Answer:

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Step-by-step explanation:

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1 year ago

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