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4 years ago

This is a true or false answer please help me**

Mathematics

1 answer:

Nitella [24]4 years ago

3 0

Answer:

5False

6 true

7 true

Step-by-step explanation:

5 Complementary angles add to 90 degrees not 180 degrees

6 40+50 = 90 so they are complementary

7 Supplementary angles add to 180

145+x = 180

Subtract 145 from each side

145-145 +x = 180-145

x = 35

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Given that the acceleration vector is a(t)=(-4cos(2t),-4sin(2t),t)

fiasKO [112]

Answer:

a(t) = (-2sin2, -2cos0, (1/2)

r(t) = (cos2, sin2, 1/6)

Step-by-step explanation:

By definition, given a position vector, r(t),

- The velocity vector v(t) is the derivative of the position vector.

v(t) = r'(t)

- The acceleration vector a(t) is the derivative of the velocity vector.

a(t) = v'(t) = r''(t).

Knowing that integration is the reverse of differentiation, we can obtain the velocity and position vectors from the given acceleration vector.

a(t) = (-4cos(2t), -4sin(2t), t)

Integrating with respect t, we have:

v(t) = (-4/2)sin(2t), (-4/2)(-cos(2t)), (1/2)t²)

at (1, 0, 1), a(t) = (-2sin2, -2cos0, (1/2)(1))

= (-0.0698, -2, 0.5)

Now, we integrate the velocity vector with respect to t to obtain the position vector.

r(t) = (cos(2t), sin(2t), (1/6)t³)

at (1, 1, 1)

r(t) = (cos2, sin2, 1/6)

= (0.999, 0.035, 0.167)

3 0

3 years ago

Nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research a

umka21 [38]

Answer:

Kindly check explanation

Step-by-step explanation:

The number of blue whales residing in a particular ocean is estimated to be four. Find the estimated amount of kills the blue whales would have consumed by the turn of the year.

Given that:

Amount of krills consumed per year = 1460000

Number of Blue whales = 4

Hence, the estimated consumption of the blue whales will be :

Number of Blue whales * estimated consumption per whale :

(4 * 1460000) = 5840000

Hence,

Estimated consumption of the Blue whales per year = 5.84 × 10^6

4 0

3 years ago

lauren took 12 hours to read a 360 boo.at this rate how long will it take her to read a 400 page book

yulyashka [42]

Answer:

well it will take her 24 hours duh nobody likes reading

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

6 more then the difference of W and 3

n200080 [17]

Answer:

(w-3) + 6

you have to subtract w and 3 first, then add 6 to it.

3 0

4 years ago

Read 2 more answers

Which expression can be used to change 75 kilometers per hours to meters per minute?

Artemon [7]

The fractions you use must be the correct conversion factors.

1 km = 1000 m, so you can have the fraction (1 km)/(1000 m) or the fraction (1000 m)//(1 km). You must choose the correct one for this problem.

1 hr = 60 min, so you can have the fraction (1 hr)/(60 min) or the fraction (60 min)/(1 hr). Again, you must choose the correct one for this problem.

The important thing is to choose the correct fraction from the choices.
How do you know which conversion fractions to use?
You look at the given units and the units you want.
You must pick the conversion fraction that will cancel out the units you DON'T want, leaving the units you want.

You have a speed in km/hr.
km is in the numerator. To cancel out km, you must pick the conversion fraction that km in the denominator.
hr is in the denominator. To cancel out hr, you must pick the fraction that has hr in the numerator.

$75 \frac{km}{hr} \times \frac{1000~m}{1~km} \times \frac{1~hr}{60~min}$

Notice that km and km cancel out leaving m.
Also, hr and hr cancel out leaving min.

4 0

3 years ago