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3 years ago

9/29/2020

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

acute and obtuse

Step-by-step explanation:

the acute is less than 90 degrees and obtuse is more than 90 degrees

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

Exactly a year ago, the volume of Arlington lake was 1,620,757 liters. Right now, it’s volume is 382,403 liters greater. How man

ANTONII [103]

Answer:

Step-by-step explanation: 2003160

If you add them up, you get 2003160.

So the lakes holds 2003160 LITERS of water to the current date.

Please mark Brainliest I need it

3 0

3 years ago

Read 2 more answers

David bought a pizza for $12.74 and four medium drinks. Define a variable and write an expression to represent the total amount

SSSSS [86.1K]

You could say each drink is d. And we'll say the total is t. David got 4 drinks,

So... 12.74 + 4d = t

Hope this helps!

7 0

3 years ago

Find the product. (-3ab2)3 -27 a3b6 -9 a3b5 -23 a2b2 27 ab

7nadin3 [17]

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

Explanation:-

Given ( -3 ab² )³

By using (ab )ⁿ = aⁿ bⁿ

( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula $(a^{m} )^{n} = a^{mn}$

= -27 a³ b⁶

6 0

3 years ago

A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a

Marina86 [1]

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

7 0

3 years ago