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3 years ago

1. Use the three-dimensonal figure to draw the orthographic projection for each indicated viewpoint or perspective.

Mathematics

1 answer:

Vesna [10]3 years ago

4 0

Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

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What's the equivalent expression after combining the like terms?<br> −3z−z

marin [14]

Answer:

-4z

Step-by-step explanation:

-3z-z

Factor out the z

z(-3-1)

Combine like terms

z(-4)

-4z

7 0

3 years ago

You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will take 3 years to pay back the loan. How muc

yuradex [85]

Answer:

$105

Step-by-step explanation:

The appropriate formula for the simple interest is ...

I = Prt

for principal P borrowed at rate r for time period t.

Filling in the given values, we find the interest to be ...

I = $1000×0.035×3 = $105

You will pay $105 in interest.

6 0

3 years ago

An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seco

bulgar [2K]

Answer:

$y=2\text{cos}((\frac{2\pi}{3})t)$

Step-by-step explanation:

We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.

We know that standard form of cosine function is $y = A\cdot \text{cos}(Bt-C)+D$ , where,

|A| = Amplitude,

Period = $\frac{2\pi}{|B|}$ ,

C = Phase shift,

D = Vertical shift.

Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, $A = 2$ .

Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by $\frac{2\pi}{|B|}$ , therefore, we can write $\frac{2\pi}{|B|}=3$ , therefore, $B = \frac{2\pi}{3}$ .