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2 years ago

14

Please l have a test only 5 minutes left Help

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<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