Simplify 3(1/6+2/9) + (-2)

Answer:

x= 14√3

y= 28√3

Step-by-step explanation:

Please see attached picture for full solution.

(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)

In this case, by Pythagoras's Theorem, you should ensure that:

[tex] {y}^{2} = 42^{2} + {x}^{2} [/tex]

✓ Let's check:

[tex]{y}^{2} = (28 \sqrt{3} )^{2} \\ y^{2} = 2352 \\ {x}^{2} + {42}^{2} = ( 14\sqrt{3})^{2} + 1764 = 2352[/tex]

This satisfies Pythagoras' Theorem :)

For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.

Cosine angle= adjacent/ hypotenuse

Sine angle= opposite/ hypotenuse

tangent angle= opposite/ adjacent

Then substitute the known side and angle to find the unknown side.

Final answer:

To find the value of x, set the expressions equal to each other and solve for x.

Explanation:

To find the value of x in the given equation, we need to set the two expressions equal to each other and solve for x. So, we have:

19x - 36 = 6x + 31

Subtracting 6x from both sides, we get:

13x - 36 = 31

Adding 36 to both sides, we get:

13x = 67

Dividing both sides by 13, we get:

x = 67/13

So the value of x is approximately 5.15.

Height is 6 inches

Step-by-step explanation:

The volume of a box can be calculated as : l * w * h

Volume of the box is given as =672 in²

Applying the formula

v=l*w*h

672= 14*8*h

672/(14*8) = h

6=h

Height is 6 inches

Learn More

Volume of a rectangular box:https://brainly.com/question/10777272

Keywords ; company, volume,height, inches

#LearnwithBrainly

Answer:

6 in

Step-by-step explanation:

Answer:

0 to StartFraction pi Over 2

Step-by-step explanation:

we know that

If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too

so

The central angle in degrees is within the range [tex](0,90^o)[/tex]

Convert to radians

Remember that

[tex]\frac{\pi}{2}\ radians=90^o[/tex]

therefore

the range in radians is [tex](0,\frac{\pi}{2})[/tex]

0 to StartFraction pi Over 2

Answer: A. 0 to pi/2 radians

Step-by-step explanation:

Answer:

. .

. .

_

explanation

2×20^1+(1×5+2)×20^0=47

The number 47 in Mayan notation is:

..

-..

Writing 47 in Mayan notation:

1. Divide 47 by 20:

  - Quotient: 2

  - Remainder: 7

2. Convert to Mayan symbols:

  - Quotient (2) for the second level (20s place): Two dots (..)

  - Remainder (7) for the first level (units place): One bar and two dots (-..)

So, 47 in Mayan notation is:

..

-..

Top level (2 × 20) = ..

Bottom level (7) = -..

The equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Solution:

From given,

Area of right triangle = 24 square feet

Also from given figure in question (attached below )

base = x and height = x + 2

The area of triangle is given by formula:

[tex]Area = \frac{1}{2} \times base \times height[/tex]

Substituting the values we get,

[tex]24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0\\\\[/tex]

Also, the above equation can be written as,

[tex]x^2 + (x+2)^2 =100[/tex]

Thus the equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Answer:

A, D, E

Step-by-step explanation:

From the answer above, but the letters to make it easier :)

I'm pretty sure it's

(24/3) + x.

Simplify it: 8 + x

Answer:24

Step-by-step explanation: the pattern is add 5 minus 2 (13+5=18, 18-2=16) so 19+5=24

Answer: 24

Step-by-step explanation: pattern is add 5 then subtract two for next one

Hope this helps

Tony is correct.

Step-by-step explanation:

Given polynomial is;

[tex]x^2+13x+36=0[/tex]

Tony's answer is x = -9

We will put x = -9 in given polynomial.

[tex](-9)^2+13(-9)+36=0\\81-117+36=0\\0 = 0[/tex]

Tony's solution satisfies the equation.

Erika's answer is x = 4

We will put x = 4 in given polynomial.

[tex](4)^2+13(4)+36=0\\16+52+36=0\\104\neq 0[/tex]

Erika's solution does not satisfy the equation, therefore

Tony is correct.

Keywords: polynomial, roots

Learn more about polynomials at:

#LearnwithBrainly

Answer:

Part A : [tex]1621\frac{1}{3}\pi[/tex] cubic meters.

Part B : 540π cubic cm.

Part C : [tex]V = \frac{4}{3}\pi r^{3}[/tex]

Step-by-step explanation:

Part A :

The volume of the silo includes the volume of a hemisphere and a cylinder.

So, the total volume

[tex]V = \frac{2}{3}\pi r^{3} + \pi r^{2}h[/tex]

⇒ [tex]V = \frac{2}{3} \times \pi (8)^{3} + \pi (8)^{2} (20)[/tex]

⇒ [tex]V = \frac{1024}{3}\pi + 1280\pi = 1621\frac{1}{3}\pi[/tex] cubic meters. (Answer)

Part B :

The volume of the cylindrical cup with height 15 cm and base radius 6 cm is given by

[tex]V = \pi r^{2}h = \pi (6)^{2} (15) = 540\pi[/tex] cubic cm.

Therefore, Mary can put 540π cubic cm of water in the cup with out it overflowing. (Answer)

Part C :

A basketball is of a spherical shape.

So, the formula of its volume is given by [tex]V = \frac{4}{3}\pi r^{3}[/tex]. (Answer)

Answer:

112.5

Step-by-step explanation:

112.5 ÷ 450 =

0.25 =

0.25 × 100/100 =

0.25 × 100% =

(0.25 × 100)% =

25%

or

25% × 450 =

(25 ÷ 100) × 450 =

(25 × 450) ÷ 100 =

11,250 ÷ 100 =

112.5

Answer:

112.5

Step-by-step explanation:

First you would divide 450÷100=4.5. Then you would multiply 4.5×25=112.5.

this would give you 25% of 450

400÷100=4.5

4.5×25=112.5

Step-by-step explanation:

We have,

[tex]-16(0.47)^2[/tex]

To find, the value of [tex]-16(0.47)^2[/tex] = ?

∴ [tex]-16(0.47)^2[/tex]

= [tex]-16(\dfrac{47}{100} )^2[/tex]

= [tex]-16\times \dfrac{47}{100}\times \dfrac{47}{100}[/tex]

= [tex]-4\times \dfrac{47}{25}\times \dfrac{47}{100}[/tex]

= [tex]- \dfrac{47}{25}\times \dfrac{47}{25}[/tex]

=[tex]- \dfrac{2209}{625}[/tex]

= - 3.5344

∴ The value of [tex]-16(0.47)^2[/tex] = - 3.5344

Thus, the value of [tex]-16(0.47)^2[/tex] is equal to - 3.5344.

Answer:

8

Step-by-step explanation:

12+15=27 27+3=30 30+6+4=40 40/5=8

Answer:

the answer is 8

Step-by-step explanation:

12+15+6+4+3 / 5 = 8

Answer:

cj sjx soiebxidhevdi hi

Answer: hi

Step-by-step explanation:

Lol

Answer:

c. ( 5, 3)

Step-by-step explanation:

6x-27=4x-17

6x-27-4x=4x-17-4x

2x-27=-17

2x-27+27=-17+27

2x=10

x=10/2

x=5

y=6(5)-27

y=30-27

y=3

Answer:

195in^2 is the correct answer.

Step-by-step explanation:

Answer:

the answer is the first graph

Step-by-step explanation:

because the negative points are not viable

The graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a linear equation in the form of slope:

y = 5.5x

Slope of the line m = 5.5

Slope is positive, which means the line goes down to up.

We can plot the graph of the equation y = 5.5x

Option first On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5) is correct.

Thus, the graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Answer:

972

Step-by-step explanation:

10 x 36= 360

12 x 51= 612

360+612= 972

Brainliest please :)

Answer:

972

Step-by-step explanation:

Product = Multiplication

Sum = Addition

10 * 36 + 12 * 51

Multiply first

360 + 612

Add

972

Hope this helps :)

Answer:

Elena went 4 meters a second.

Step-by-step explanation:

The first thing we would do would be to divide 60 and 15.

So 60÷15

This would equal 4.

If you have any questions feel free to ask in the comments. - Mark

Answer:

She went 4 meters per second

Step-by-step explanation:

Equation is:   15x=60

                     15     15

x=4 meters    

Answer:

CPCTC

Step-by-step explanation:

If abc=def is given,

then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.

Answer:

y = -9x + 12

Step-by-step explanation:

first find the slope

m= 3 - 12

1 - 0

m = -9

y = mx + b

y = -9x + 12

(the 12 is the y intercept and is given in the question so there is no need to solve for it)

Answer: [tex]y=0[/tex]

Step-by-step explanation:

For this exercise it is important to remember:

1. The Product of powers property. This property states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

2. The multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

Then, given:

[tex]8^3*8^{-5}*8^y=8^{-2}=\frac{1}{8^2}[/tex]

You can identify that [tex]8^{-2}[/tex] is obtained by applying the Product of powers property:

[tex]8^{3+(-5)+y}=8^{-2}=\frac{1}{8^2}[/tex]

Based on the explained above, you can write the following equation:

[tex]3+(-5)+y=-2[/tex]

Therefore you must solve for the variable "y" in order to find its value. You get that this is:

[tex]3-5+y=-2\\\\-2+y=-2\\\\y=-2+2\\\\y=0[/tex]

Answer:

You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

So in order to do this you have to plug in each answer to the equation.

Lets start with (6,0)

0 = -2(6) + 6 =     0 = -6.  This answer is wrong because its false. 0 does not equal -6.

Next answer, (1,4)

1 = -2(4) + 6 =     1 = -2   This answer is also wrong because 1 does not equal -2.

Next answer, (-2,-2)

-2 = -2(-2) + 6 =      -2 = 10   This answer is wrong as well because -2 doesn't equal 10.

This leaves us with none of the above which is true since the first 3 answers are wrong.

Question:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Let b be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park.

Which system of equations represents this situation?

Answer:

CORRECT (SELECTED)

⎪b+p=2

⎨4b+5p=8

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

What will be the population after 5 years is 20,683.

Using this formula

A=P(1+r/100)^n

Where:

P=17000

r=4%

n=5 years

Let plug in the formula

P=17,000(1+0.04)^5

P=17,000×(1.04)^5

P=17,000×1.2166529

P=20,683

Inconclusion the population after 5 years is 20,683.

Learn more here:

https://brainly.com/question/14949608

Answer:

y = 27218

Step-by-step explanation:

Answer:

The answer is (t4)-7

Step-by-step explanation:

First you simplify the like terms so t add the 2s together and you get t4 then add the negative numbers and it equals -7.

Answer:(t4)-7

Step-by-step explanation: