Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6

Here is your Answer:

3/4

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Answer:

LA = 720 , SA = 780

Step-by-step explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer:

Step-by-step explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

         c² = 289 - 225

         c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]

                                = ( 17 + 15  + 8 ) * 18

                                = 40 * 18

                                = 720 in²

[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]

[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]

                                  = base * height

                                  = 8 * 15

                                   = 120 in²

Total surface area = 720 + 120

                                = 840 in²

Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]

r = 6 yards.

For the diameter:

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

Read more on surface area here: brainly.com/question/21367171

Step-by-step explanation:

6x3 (3 is because it's half of 6) =18 to find the area of I triangle, I now divide it by 2. 18÷2=9. there are 8 separate triangles so 9x8=72. now the square. 6x6=36. now add 72 + 36=108 in.

Answer:

I believe D is the correct answer

Answer:

73+78+85+84+37+115 because you will add all point scored by the last 6games =471

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

Answer:

hope this helps

Step-by-step explanation:

1) x =3 - S

2) x = 1 - O

3) x = 5 - L

4) x =. I don't understand this one. its 1/2 * 21? = V?

5) x = 10 - E

Answer: 48/44

Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.

area of square: side²

=======

side² = 121

side = √121

side = 11 cm

====

perimeter of square:

ii)

total distance she ran = perimeter of square * 5

distance  =  44 * 5

distance = 220 cm

[tex] {x}^{8} + {x}^{4} + 1[/tex]

factorise

[tex] {x}^{8} + {x}^{4} + 1[/tex]

[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]

[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]

[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]

[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]

[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]

Answer:

-0.5774

Step-by-step explanation:

Tan 150 degrees is the value of tangent trigonometric function for an angle equal to 150 degrees. The value of tan 150° is -1/√3 or -0.5774 (approx).

Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

Answer:

10 ft

Step-by-step explanation:

Given:

Plug in the values given:

Cancel π from both sides and simplify:

Answer:

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

490

Step-by-step explanation:

d(x)=700-7(30)

7x 30=210

700-210=490

therefore,

r(x)=490

Answer:

Mean (Average): 21.44444

Median (Middle): 22

Mode (Most Common): 29

Step-by-step explanation:

Answer:

400,000

Numbers given:

After rounding them to nearest hundredth thousand:

Difference:

Answer:

The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?

Step-by-step explanation:

I am not sure where or what you are talking about?

Answer:

22000 easy but this simple hope it helps

Step-by-step explanation:

Answer:

46 and 47.

Step-by-step explanation:

Let the 1st number be x,

Now,

or, x + x = 92

or, 2x = 92

or, x = 46

Again,

Let the 2nd number be x + 1

And,

x + 1 = 46 + 1 = 47.

Answer:

Alex has £44

Pierre has £66

Step-by-step explanation:

P = A + 20

P+ 22 = 2A

solve for A

plug in p

(A + 20) + 22 = 2A

A + 44 = 2A

subtract A from both sides

44 = A

solve for P

plug A in

P = 44 +22

P = 66

Pls give brainlyist

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Answer:

 A)  1

Step-by-step explanation:

We want to find G such that ...

 (G-F)/(D-G) = 8/5

 5(G-F) = 8(D-G)

 5G -5F = 8D-8G . . . . eliminate parentheses

 13G = 8D +5F . . . . . . add 5F +8G to both sides

 G = (8D +5F)/13 . . . . divide by the coefficient of G

 G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

 G = 1 . . . . . . matches choice A

Answer:

A

Step-by-step explanation:

EDGE 22

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Answer:

48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Hope this helps you!

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$37.52

I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

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