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Flura [38]
3 years ago
6

Jessa bought 15 pieces of ribbon. Each piece of ribbon was 2.25 yards long. What is the total amount of ribbon Jessa bought? ent

er ur answer in the box
Mathematics
2 answers:
lora16 [44]3 years ago
8 0

Hi your answer would be 33.75



algol [13]3 years ago
3 0
Hello,

15 pieces of ribbon, each is 2.25 yards long.
15 x 2.25 = 33.75 yards of ribbon.

Hope this helped!

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Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)
dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

<h3>How to find the mass?</h3>

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = \int_a^b \delta\left|r^{\prime}(t)\right| d t

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}

Further simplifying;

\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}

Now, use integration to find the mass of the wire;

       \begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0
1 year ago
Is 4 yards bigger than 13 feet
8_murik_8 [283]
1 yard = 3 feet

4 yards x 3 feet = 12 feet

12 feet is less than 13 feet


So False, 4 yards is <em>less than </em>13 feet

hope this helps
6 0
3 years ago
Read 2 more answers
When I flew from Atlanta to New York, the plane flew
Gnesinka [82]

Answer:

216.5

Step-by-step explanation:

866/4

216.5

5 0
3 years ago
Read 2 more answers
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll
Tom [10]
I think it’s 1/12 exactly you have a one in 12 chances of rolling a 5
5 0
3 years ago
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The value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5
Elodia [21]

Answer:

the value in the five years is  £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 ×  0.32768

=  £2,621.44

Hence, the value in the five years is  £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

7 0
2 years ago
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