Please help me with question six tyyy

Answer:

see below

Step-by-step explanation:

15+2x> 31

Subtract 15 from each side

2x > 16

Divide by 2

2x/2 > 16/2

x > 8

There is an open circle at 8

The line goes to the right

Answer:

The perimeter of given figure  = 56.56 ft

Step-by-step explanation:

Step(i):-

From diagram

      The length of the rectangle = 10 ft

     The width of the rectangle = 8 ft

     Perimeter of the rectangle

                      = 2 ( l+w)

                     =  2 ( 10 + 8)

                     = 2 × 18

                     = 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

        perimeter  of the circle

          p = 2πr + d

        perimeter of the semicircle

        [tex]P = \frac{1}{2} 2\pi r + d[/tex]

       P = πr + 2 r    (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

      d = 8

     d = 2 r = 8

The radius of the circle 'r' = 4  

    perimeter of the semicircle

       P = πr + 2 r  

      P = 3.14 ( 4) + 8

     P= 20.56

Conclusion:-

The perimeter of given figure

                    = perimeter of rectangle + perimeter of semicircle

                    = 36 + 20.56

                   =56.56 ft

Corrected Question

The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }

Answer:

[tex]\{x | x >3 \}[/tex]

Step-by-step explanation:

Given an inequality whose solution is represented by the number line attached below.

We observe the following from the number line

There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)

The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:

The solution in the number line can be written using set-builder notation as:

[tex]\{x | x >3 \}[/tex]

Answer:

36/100

Step-by-step explanation:

this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.

The probability that we get the same number is 9/25.

It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.

Numbers in first bag=10

Numbers in second bag=10

Common numbers=5,6,7,8,9,10

Total common numbers=6

So the probability that we get the same numbers will be

= 6/10* 6/10

=36/100

=18/50

=9/25

Hence the probability that we will get the same numbers is 9/25.

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Answer:

k = 2

Step-by-step explanation:

Given the equations:

g(x) = 3x² + 8x + k

f(x) = 2x - 1

At the intersection point:

g(x) = f(x)

3x² + 8x + k = 2x - 1

3x² + 6x + (k+1) = 0

If there is only one intersection point, the discriminant must be equal to zero:

b² - 4(a)(c) = 0

6² - 4(3)(k+1) = 0

36 - 12(k+1) = 0

36 - 12k - 12 = 0

24 = 12k

24/12 = k

2 = k

Answer:

-3x^2-15x-30

Step-by-step explanation:

Follow order of operations

Answer:

-3x^2 -15x -30

Step-by-step explanation:

First you would square the parenthesis, and get x^2 +6x+9 inside the parenthesis, then you would multiply it by the -3 and get -3x^2 -18x-27-3+3x then you combine like terms to get the answer.

Answer:

shoulf be the first one: f(x) (½)^x-3

Answer:

Step-by-step explanation:

1+2 cos α

[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]

Answer: 9πcm²

Step-by-step explanation: area of the square= 36cm²

Therefore, the area of one side= √area = √36 = 6cms

Since the circle is touching the sides of the square, the side of the square = the diameter of the circle

Therefore the radius of the circle= side/2 = 3cm

The formula for the ares of the circle is πr²

π*3*3 = 9πcm²

Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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Answer:

Solution,

Finding the value of X,

[tex]11x + 2 = 68[/tex]

( being vertically opposite angles)

[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]

Value of X is 6

Now, finding the value of z

[tex]z + 68 = 180[/tex]

(sum of angle in linear pair)

[tex]z = 180 - 68 \\ z = 112[/tex]

Value of z is 112.

Hope this helps....

Good luck on your assignment...

Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer:

-47

Step-by-step explanation:

Step 1: Factor GCF

-6(x² - 6x - 36) = 0

Step 2: Divide by -6 on both sides

x² - 6x - 36 = 0

Step 3: Isolate x's

x² - 6x = 36

Step 4: Complete the Square

x² - 6x + 9 = 36 + 9

(x - 3)² = 45

Step 5: Move everything to one side

(x - 3)² - 45 = 0

So, a = 1, b = -3, c = -45

1 - 3 - 45 = -47

Answer:

(1, 2)

Step-by-step explanation:

The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.

f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).

Hey there! :)

Answer:

A. 108 ft².

Step-by-step explanation:

Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:

2(4 ·3) = 2(12) = 24 ft²

2(4· 6) = 2(24) = 48 ft²

2(3 · 6) = 2(18) = 36ft².

Add up the areas of the faces:

24 + 48 + 36 = 108 ft².

Answer:

A) 108 sq ft

Step-by-step explanation:

SA = PH + 2LW

P = 2(L + W)

SA = 2(L + W)H + 2LW

SA = 2(4 ft + 3 ft)(6 ft) + 2(4 ft)(3 ft)

SA = 108 sq ft

Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

m = (y2-y1)/(x2-x1)

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Then, you have to substitute the coordinates into the formula :

[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]

[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]

[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]

[tex]m = \frac{ - 1}{ - 8} [/tex]

[tex]m = \frac{1}{8} [/tex]

Answer:

The answer would be D.

Step-by-step explanation:

I know this, because all you have to do is plug in whatever number equals zero in the parenthesis.

It should look like this.

G(x) = (x-3)^2 - 5

So you would plug in 3 for x.

Then the answer to the equation would be -5.

Then I look to see if there is a point at (3, -5)

There was a point there, so then I knew that was the answer.

Answer:

C. The number of crackers in the supervisor's bag is 1 standard deviation to the right of the mean.  

Step-by-step explanation:

Data

mean + standard deviation = 22 + 2 = 24, that is, 1 standard deviation to the right of the mean (the addition is to the right, the subtraction to the left).

Answer:

For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

100: 224 = 61:x → 61/100 = x/224

100x = 13664

x = 136.64 → 136 groups (You can't round up if you don't have enough people)

Hope this helped!

Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

:) The other answer is correct too! But just for clarification! :)

Answer:

(2x³ - 3)²

Step-by-step explanation:

4x⁶ - 12x³ + 9

2²x⁶ - 12x³ + 9

2²x²ˣ3 - 2 * 2x³ * 3 + 3²

2² * (x³)² - 2 * 2x³ * 3 + 3²

(2x³)² - 2 * 2x³ * 3 + 3²

(2x³ - 3)²

Hope this helped! :)

Answer:

Angle AME is 180° hence a straight angle.

Hope this helps you.

Answer:

straight

Step-by-step explanation:

<AME is a straight angle because:

I hope this helped you, and have a great rest of your day!

Answer:

x = 25.

Step-by-step explanation:

Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.

Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!

[tex]\frac{x}{60} =\frac{60}{144}[/tex]

144 * x = 60 * 60

144x = 3600

2x = 50

x = 25

Hope this helps!

Answer:

25

Step-by-step explanation:

The Side Splitter Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally. Therefore:

6/15 = 10/?

6*? = 10*15

? = 10*15/6

? = 25

Answer:

The correct option is:

x+y = 2

Step-by-step explanation:

Street 1 is given.

If Street 2 is parallel to Street 1, then they will have the same slope.

Find slope of Street 1:

Take any 2 points on Street 1. Consider (-2,3) and (1,0)

Slope is given by:

m = (y₂ - y₁) / (x₂ - x₁)

m = 0-3 / 1-(-2)

m = -3/3

m = -1

For Street 2:

y = mx + c

y = -1x +c

As it passes through (-2,4), substitute the point in the above equation:

4 = -1(-2) + c

c = 2

So substitute m = -1 and c =2 into general form of equation:

y = mx + c

y = -x + 2

or

x+y = 2

Answer:x − 3 y = − 36

Step-by-step explanation:

Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37

Step-by-step explanation:

standard form = ax+by=c so you basically just have to take that and put it into the formula

Hope this helps

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]\frac{15}{\sqrt{3} }[/tex]

Multiplying and dividing by [tex]\sqrt{3}[/tex]

=> [tex]\frac{15}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]

=> [tex]\frac{15\sqrt{3} }{(\sqrt{3})^2 }[/tex]

=> [tex]\frac{15\sqrt{3} }{3}[/tex]

=> [tex]5\sqrt{3}[/tex]  (A Rationalized denominator!)

Answer:

5√3

Step-by-step explanation:

To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply [tex]\frac{15}{\sqrt{3} }[/tex] [tex]* \frac{\sqrt{3}}{\sqrt{3}}[/tex] . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.

Answer: The correct answer is 94 cm.

Step-by-step explanation:

wingspan         length

60 meters        70.5 m

----------------- = ----------------

80 cm                   x

Cross multiply

(60 m)x = (70.5 m)(80 cm)

Solve for x by dividing both sides of equation by 60 m:

x = (70.5 m)(80 cm) / (60 m) = 94 cm

The length of the model is 94 cm.

Answer:

94 cm

Step-by-step explanation:

Write and solve an equation of ratios:

70.5 m       60 m

----------- = -----------

    L           80 cm

Cross multiplying, we get:

(70.5 m)(80 cm) = (60 m)L

                                                                     (70.5 m)(80 cm)

Then the model length, L, should be  L = -------------------------

                                                                              60 m

or

L = 94 cm