S||P FIND VALUE OF Z !

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

Answer:

it's the third one

Step-by-step explanation:

I believe on doing homework to good luck with your work hope this helps

Answer:

Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.

The number is expressed as 2^n

For example:

Express 16 as a power of 2:

To get 16, you have to multiply 2 by 4 times.

2 × 2 × 2 × 2 = 16

16 = 2^4

Then the answer is 2^4

Answer:

the answer is 54

Step-by-step explanation:

I am doing same thing

Answer:105

Step-by-step explanation:

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ7

Answer:

[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1) Comparing the two equations, we see that the multiplier 'x' is missing from both sides in equation B. That is, it has been divided out:

  (5x)/x = (3x)/x   ⇒   5 = 3

Both sides have been divided by x.

__

2) The equations are equivalent if and only if x ≠ 0. Unfortunately, in equation A, the only solution is x = 0. For equations like the one in A, it is better to subtract one side from both:

  5x -3x = 3x -3x   ⇒   2x = 0

Now, dividing by 2, it is clear that the solution is x = 0.

Equations A and B are not equivalent, because the condition on the division property of equality was violated (you cannot divide by 0).

Answer:

17

Step-by-step explanation:

(Samuel is         years old in ten years he will be 27.)

how do we find his age he is rignt now?

First: you need to find the key words.

Samuel is         years old in ten years he will be 27

secont: you find a way to do your problom.

 27 ↓

- 10  ↓

````````````

 17 ←

Answer:

1. e

2. d

3. b

4. c

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

120 gallons per minute

Answer: 16^7

Step-by-step explanation:

4^5 • 4^2

16^7

Answer:

The length is 35cm and the area is 1050cm^2

Step-by-step explanation:

The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:

[tex]60+ 2x=130[/tex]

[tex]2x=70[/tex]

[tex]x=35[/tex]

For the area multiply 30 by 35

[tex]30*35=1050[/tex]

And your answer for the area is in cm^2

Answer:

It would be 79 as a whole number.

Step-by-step explanation:

78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.

If it is 5 or greater than. You would round it to 79

If not greater than 5. You round it down to 78 still.

Answer:

It will take 6 hours to get to Houston.

Step-by-step explanation:

We have a total distance:

[tex] d_{T} = 746 mi [/tex]      

And, the distance traveled is:

[tex] d = 296 mi [/tex]

The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:

[tex]t = \frac{x}{v}[/tex]

Where:

[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]

[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]

Therefore, it will take 6 hours to get to Houston.

I hope it helps you!

Answer:

Should be 13. Sorry if I’m incorrect!

Step-by-step explanation:

Answer:

i am very sure but i think this the answer

Step-by-step explanation:

 3x • (2x - 1)

Answer:

B C E G J

Step-by-step explanation:

Incomplete question. The completed question reads;

The Northville School Board has proposed this budget for the upcoming school year:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

5% to upgrade the computer lab hardware

10% for new instruments for the music department

5% for new sports equipment

After a brief discussion, the school board revised the budget as follows:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

10% to upgrade the computer lab hardware

5% for new instruments for the music department

5% for new sports equipment

In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?

Answer:

getting new instrument

Explanation:

Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.

Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).

Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.

Answer:

In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.

Step-by-step explanation:

Edmentum

Answer:

x is equal to 1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer:

27 is the answer

Step-by-step explanation:

room 7 = 28 students

room 11 = 23 students

room 9 = 30 students

Total students = 81 students

If they are equally divided then = 81/3

= 27

Answer:

a rate

Step-by-step explanation:

I looked it up :P