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DENIUS [597]
2 years ago
14

Please l have a test only 5 minutes left Help

Mathematics
1 answer:
Bad White [126]2 years ago
6 0
Plug 10 into x but the answer is 5.70
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A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
lianna [129]
In your question that ask to calculate the area of one of the tiles if a semicircular archway in the front of the garden is using 8 congruent granite tiles and the area of one of the tiles is 2.9ft ^2. I hope you are satisfied with my answer and feel free to ask for more. 
5 0
2 years ago
Find the probability of throwing 9 with two dice.
ololo11 [35]
Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4

P = \frac{Number \: of \: favourable \: outcomes}{ Total \: number \: of \: possible \: outcomes}

P (throwing \: 9) = \frac{4}{36} = \frac{1}{9}
6 0
2 years ago
A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a linear equation to find the total c
Gennadij [26K]

Answer:

1.29(30) +2

Step-by-step explanation:

First you do 1.29 times 30 that equals 38.7. Then you do 38.7 + 2 and you get 40.7. This means that the total cost is $40.70.

6 0
3 years ago
The large sphere has a diameter of 12 feet. A large sphere has a diameter of 12 feet. A smaller sphere with a radius of 3 feet i
IrinaVladis [17]

Answer:

The volume of the shaded figure is 252π feet³ ⇒ 1st answer

Step-by-step explanation:

* <em>Lets revise how to find the volume of the sphere</em>

- The volume of any sphere is \frac{4}{3}\pi r^{3}, where

  r is the radius of the sphere

- There is a large sphere of diameter 12 feet

- The diameter of the sphere is twice its radius

∵ The length of the diameter is 12 feet

∴ The length of the radius = \frac{1}{2}*12=6 feet

- There is a smaller sphere with a radius of 3 feet

- The smaller sphere is cut out of the center of the larger sphere

- <em>The volume of the shaded part is the difference between the </em>

<em>   volumes of the larger sphere and the smaller sphere</em>

* <em>Lets find the volume of each sphere</em>

- The volume of the larger sphere:

   V larger = \frac{4}{3}\pi (6)^{3} = 288π feet³

- The volume of the smaller sphere:

   V smaller = \frac{4}{3}\pi (3)^{3} = 36π feet³

∴ The volume of the shaded figure = 288π - 36π = 252π feet³

* The volume of the shaded figure is 252π feet³

3 0
2 years ago
Read 2 more answers
Solve the initial value problem y′+y=f(t),y(0)=0 where f(t)={1,−1, if t&lt;4 if t≥4 Use h(t−a) for the Heaviside function shifte
Anton [14]

Looks like the function on the right hand side is

f(t)=\begin{cases}1&\text{for }t

We can write it in terms of the Heaviside function,

h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}

as

f(t)=h(t)-2h(t-4)

Now for the ODE: take the Laplace transform of both sides:

y'(t)+y(t)=f(t)

\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s

Solve for <em>Y</em>(<em>s</em>), then take the inverse transform to solve for <em>y</em>(<em>t</em>):

(s+1)Y(s)=\dfrac{1-e^{-4s}}s

Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}

Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)

Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}

\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)

\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}

4 0
2 years ago
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