A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?

Answer:

sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = x/2

2 sin 45 =x

2 ( sqrt(2)/2) =x

sqrt(2) =x

Answer:

Step-by-step explanation:

If a function passes the horizontal line test, then we may conclude that the inverse of the function exists and can be found.

Answer:

-3y-6

Step-by-step explanation:

[tex]-3(y+2)=-3y-6[/tex]

Step-by-step explanation:

the area of a triangle is baseline×height/2

in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.

so,

B = 8×6/2 = 8×3 = 24 yd²

the height h is 8 yd (as the picture clearly shows).

the perimeter of the base is the sum of all three sides

P = 8 + 6 + 10 = 24 yd

Answer:

B is going to be half the intercepted arc

<ABC = 80

<CAB = 55

mARC(AB) = 90

mARC(BC) = 110

Step-by-step explanation:

Answer:

r=12

S=24

Step-by-step explanation:

[tex] \tan(60) = \frac{12 \sqrt{3} }{r} \\ \sqrt{3} = \frac{12 \sqrt{3} }{r} \\ r = 12 \\ \\ \\ \sin(60) = \frac{12 \sqrt{3} }{s} \\ \frac{ \sqrt{3} }{2} = \frac{12 \sqrt{3} }{s} \\ s = 24[/tex]

I hope I helped you^_^

Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

Answer:

n-32

Step-by-step explanation:

edmentum

Given,

_______________

Find KJ .

_______________

First find the value of x

[tex] \sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}[/tex]

Now, find the value of KJ.

[tex]\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}[/tex]

-> The value of KJ is 60.

_______________

Hope it helps.

RainbowSalt2222

Answer:

KJ = 60

Step-by-step explanation:

In order to find the length of KJ we must find the value of x

Perpendicular bisectors split lines into two EQUAL parts.

If GJ is bisected then the two parts that make it up are equal to each other.

In other words GK = KJ

If GK = 2x + 10 and KJ = 3x - 15 then

2x + 10 = 3x -15

Solve for x

2x + 10 = 3x -15

Subtract 2x from both sides

10 = x - 15

Add 15 to both sides

x = 25

Now to find KJ we simply plug in the value of x into KJ's given expression

Expression given: 3x - 15

x = 25

KJ = 3(25) - 15

Multiply 3 and 25

KJ = 75 - 15

Subtract

KJ = 60

Answer:5

Step-by-step explanat[tex]\sqrt{5} = 5[/tex]

[tex]\sqrt{5}[/tex]  = 2.23

Answer:

$1.05 per yard

Step-by-step explanation:

5.25 ÷ 5 = 1.05

Answer:

$1.05 per yard.

Step-by-step explanation:

find unit rate; (cost / quantity)

5.25 / 5 = 1.05

Answer:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals

Principles of United Nations

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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.

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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?

Answer:

It's rational because it's not a decimal numbet

Answer:

Step-by-step explanation:

(-5x-4)-(-3x-2)

-5x-4+3x+2

-2x-2

-2(x+1)

Answer:

point B

Step-by-step explanation:

The y- intercept is the point where the graph crosses the y axis

Answer:

22 mm

Step-by-step explanation:

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Answer:

2c+5

Step-by-step explanation:

Answer:

7c

Step-by-step explanation:

You do PEMDAS.

6-3c is 3c.

so itd be 8c + 2(3c) - 7

then id multiply 3c with 2 so its be6c.

then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.

ES EL PUNTO A.  RPBHCGNDGE

Equation obtained from the question.

4x² + 2y = 8 .............(1)

2x² = 7..... (2)

Determination of the value of x².

From equation 2,

[tex]2x^{2} = 7[/tex]

Divide both side by 2

[tex]x^{2} = \frac{7}{2}[/tex]

Determination of the value of y

From equation 1,

[tex]4x^{2} + 2y = 8\\ \\But\\\\x^{2} = \frac{7}{2}\\\\Thus\\\\4(\frac{7}{2}) + 2y = 8[/tex]

Clear bracket

[tex]14 + 2y = 8[/tex]

Collect like terms

Divide both side by 2

Therefore, the value of y is –3

Learn more: https://brainly.com/question/10618557

Answer:

[tex]\bf \large \longrightarrow \: \:6 \: - \: 4 \: (3x - 2) \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:6 \: - \: 12x \: + \: 8 \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:14 \: - \: 12x \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:14 \: - \: 8x[/tex]

[tex]\bf \large \longrightarrow \: \: - 8x \: + \: 14[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we find the square root of 100(for this we use a calculator)

[tex]\sqrt{100\\}[/tex] = 10

The square root of 100 is 10.

Now locate 10 on a number line.

Answer:

Estimated 120 students

Step-by-step explanation:

Hi there!

The survey established that 3 out of the 75 students did not have social media accounts.

[tex]\displaystyle \frac{3}{75}[/tex]

Let [tex]x[/tex] be equal to the number of students in the entire school who does not have social media accounts.

[tex]\displaystyle\frac{x}{3000}[/tex]

Create a proportion:

[tex]\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}[/tex]

Multiply both sides by 3000 to isolate [tex]x[/tex]:

[tex]\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x[/tex]

Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.

I hope this helps!

Answer:

The answers are all bolded below. If you can, please read the explanation so you can pass a test if asked.

Step-by-step explanation:

First, the quadratic equation we are starting with is -x^2 + 10x + 9.5

-------------------------------------------------------------------------------------------

For the first part, it's asking for how high it is when it starts, commonly, we use 0 as the start point so if we plug 0 into the quadratic equation, we have 9.5. The height is 9.5 feet at start.

-------------------------------------------------------------------------------------------

For the second part I'm assuming it's asking for either a minimum or a maximum and because the equation has a -x^2, that means the parabola has a maximum. You can tell by -x^2 being negative, if it was x^2 (positive) it would have a minimum.  

The maximum is found using the vertex formula(because the vertex is the max or min), -b/2a, where a is -1, b is 10, and c is 9.5 found in the equation because the quadratic is in standard form ax^2 + bx + c. This gives a vertex of 5.

We plug 5 back in the equation to get (5, 34.5).

5 is the x-coordinate so it is 5 feet horizontally and 34.5 feet high

--------------------------------------------------------------------------------------------

For the last part it's asking for a root, or when the parabola touches the x axis/the ground.

-x^2 + 10x + 9.5

You would use the quadratic formula but I'm too lazy so I just put it into a calculator.

That gives roots of around x=−0.87367 and x=10.8737.

You can't have a negative root so you're left with x= 10.8737, rounding to the tenth decimal place, 10.9.

I think that's correct, could be wrong, if it is wrong just follow the steps and it should be fine.

Answer:

4(2x-5)

Step-by-step explanation:

8x - 20

Rewriting

4*2*x - 4*5

Factor out 4

4(2x-5)

Answer:

XS-9, yes#####################

Answer:

List from least to greatest:-16,-10,-3,5

List from closest to zero to the very far:-3,5,-10,16

Step-by-step explanation:

In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...

Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

[tex]k = 5[/tex] -- scale factor

[tex]B'C' = 24[/tex]

Required

Side length of ABCD (the hot tub)

From the question, we understand that

[tex]ABCD \to D_5 \to A'B'C'D[/tex]  ABCD dilated by 5 to A'B'C'D

This implies that:

[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

[tex]BC * 5 = 24[/tex]

Divide by 5

[tex]BC = 4.8[/tex]