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1 year ago

Can you please solve the last question… number 3! Thanks!

Mathematics

1 answer:

Lunna [17]1 year ago

3 0

Let us break the shape into two triangles and solve for the unknowns.

The first triangle is shown below:

We will use the Pythagorean Theorem defined to be:

$\begin{gathered} c^2=a^2+b^2 \\ where\text{ c is the hypotenuse and a and b are the other two sides} \end{gathered}$

Therefore, we can relate the sides of the triangles as shown below:

$25^2=y^2+16^2$

Solving, we have:

$\begin{gathered} y^2=25^2-16^2 \\ y^2=625-256 \\ y^2=369 \\ y=\sqrt{369} \\ y=19.2 \end{gathered}$

Hence, we can have the second triangle to be:

Applying the Pythagorean Theorem, we have:

$22^2=x^2+19.2^2$

Solving, we have:

$\begin{gathered} 484=x^2+369 \\ x^2=484-369 \\ x^2=115 \\ x=\sqrt{115} \\ x=10.7 \end{gathered}$

The values of the unknowns are:

$\begin{gathered} x=10.7 \\ y=19.2 \end{gathered}$

You might be interested in

9x2 - 6xy<br> Factorise Fully

tamaranim1 [39]

Remember distributive property, but reverse it
ab-ac=a(b-c)
a is a common factor

find common factors
factor each
9x^2=3*3*x*x
6xy=2*3*x*y
common factor is 3*x or 3x

9x^2-6xy=3x(3x)-3x(2y)=3x(3x-2y)

factored form is 3x(3x-2y)

4 0

3 years ago

Disk requests come in to the disk driver for cylinders 10, 22, 20, 2, 40, 6, and 38, in that order. A seek takes 6 msec per cyli

m_a_m_a [10]

Answer:

a) 876 ms

b) 360 ms

c) 348 ms

Step-by-step explanation:

a) When using the First-come, first serve order, the starts at the initial cylinder and is served in the same order as it arrives.

For First-come, first serve, the order is served from (20), 10, 22, 20, 2, 40, 6, and 38.

Seek time = 10 + 12 + 2+ 18 + 38 + 34 + 32 = 146 cylinder

The request uses 146 cylinders, therefore the seek time = 146 cylinder * 6 ms/cylinder = 876 ms

b) When using the Closest cylinder next the request starts at the initial cylinder and is served using the shortest movement from current position.

For Elevator algorithm, the order is served from (20), 20, 22, 10, 6, 2, 38, 40

Seek time = 0 + 2 + 12+ 4 + 4 + 36 + 2 = 60 cylinder

The request uses 146 cylinders, therefore the seek time = 60 cylinder * 6 ms/cylinder = 360 ms

c) When using the Elevator algorithm the request starts at the initial cylinder and moves upwards, then reverses direction.

For Closest cylinder next, the order is served from (20), 20, 22, 38, 40, 10, 6, 2

Seek time = 0 + 2 + 16+ 2 + 30 + 4 + 4 = 58 cylinder

The request uses 146 cylinders, therefore the seek time = 58 cylinder * 6 ms/cylinder = 348 msa) When using the First-come, first serve order, the starts at the initial cylinder and is served in the same order as it arrives.

For First-come, first serve, the order is served from (20), 10, 22, 20, 2, 40, 6, and 38.

Seek time = 10 + 12 + 2+ 18 + 38 + 34 + 32 = 146 cylinder

The request uses 146 cylinders, therefore the seek time = 146 cylinder * 6 ms/cylinder = 876 ms

b) When using the Closest cylinder next the request starts at the initial cylinder and is served using the shortest movement from current position.

For Elevator algorithm, the order is served from (20), 20, 22, 10, 6, 2, 38, 40

Seek time = 0 + 2 + 12+ 4 + 4 + 36 + 2 = 60 cylinder

The request uses 146 cylinders, therefore the seek time = 60 cylinder * 6 ms/cylinder = 360 ms

c) When using the Elevator algorithm the request starts at the initial cylinder and moves upwards, then reverses direction.

For Closest cylinder next, the order is served from (20), 20, 22, 38, 40, 10, 6, 2

Seek time = 0 + 2 + 16+ 2 + 30 + 4 + 4 = 58 cylinder

The request uses 146 cylinders, therefore the seek time = 58 cylinder * 6 ms/cylinder = 348 ms

3 0

3 years ago

Marty's class collected $16.00 in a school-wide penny collection contest.If Tommy's class collected,x, and then multiplied the d

Gala2k [10]

Answer: A.$23.00

Step-by-step explanation:

This question is incomplete, please remember to be carful and submit the whole question :)

However, if we assume the money Tommy's class substracted from its penny collection is $\$15$ , we will have the following:

<em>Marty's class collected $$16.00$ in a school-wide penny collection contest. If Tommy's class collected, $x$ , then substracted $\$15$ and then multiplied the difference by 2,they would have the same amount of money as Marty's class. How much money did Tommy's class collect?</em>

<em />

This can be mathematically expressed as follows:

$(x-\$15)2=\$16$

Isolating $x$ , which is the amount of money Tommy's class collected:

$2x-\$30=\$16$

$x=\frac{\$46}{2}$

$x=\$23$

Hence, the correct option is A.

8 0

4 years ago

Help me out please !

Inga [223]

Answer:

I think it is a

Step-by-step explanation:

3 0

3 years ago

Please need help 1-5

julsineya [31]

This is a right triangle. All side lengths of a right triangle can be found using Pythagorean Theorem.
1. 4^2+8^2=c^2, so this means that c= $\sqrt{x}$ 80, so your first answer is 8.944.
2. 1600-625=a, so a is the square root of 975, which is 31.22.
3. c^2-a^2=b^2: 122,500-40000, so b^2 is 287.23.
4. 56.25+156.25=c^2, so c is 14.58
5. c^2-b^2=a^2, so a^2 is 67.8
Hope this helped.

3 0

3 years ago