A cone has a circular base of radius 8m. Given that the total surface area of the cone is 350m^2, find the slant height

Consider the fraction first ;

[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]

Hence, Option B) is required answer

Answer:

  a.  x = 9

  b.  GH = 30; GK = 20

Step-by-step explanation:

An angle bisector in a triangle divides the sides proportionally.

In this triangle, that means ...

  (3x +3)/18 = (3x -7)/12

  2(3x +3) = 3(3x -7) . . . . . . . multiply by 36

  6x +6 = 9x -21 . . . . . . . . . eliminate parentheses

  27 = 3x . . . . . . . . . . . . . . add 21 -6x

  x = 9 . . . . . . . . . . . . . . . divide by 3

__

The segment lengths are found by substituting the value of 3x in each of the given expressions:

  GH = 3x +3 = 27 +3 = 30

  GK = 3x -7 = 27 -7 = 20

Answer:

Step-by-step explanation:

First we need to find the score of the incorrect answers and the questions that were not answered.

Score for the incorrect answers = 4*(-2) = -8

Score for the questions not answered = 6*(-1) = -6

Score for the questions answered correctly = 106 - [ (-8) + (-6) ]

                                                                       = 106 -[-14]

                                                                        = 106 + 14

                                                                        = 120

Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer

= 120 ÷ 4

= 30

30 questions were answered correctly.

Answer:

Fraction answer (about):
1 1/4

Decimal answer (about):
1.24

Step-by-step explanation:

7 2/3 - 6 3/7 =
1.2380952381

1.2380952381 = about 1.24

The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4

Have a great rest of your day
#TheWizzer

Answer:26/21

Step-by-step explanation:

Answer:

y = 5.5 ·x

Step-by-step explanation:

x= pounds purchased

y = cost in $

Given:

4 pounds for $22

x pounds for $ y

Find unit price so will know how much will pay for 1 pound

22/4 = 11/2 = $ 5.5 for 1 pound

Make a general formula :

y = 5.5 ·x

Answer:

35

Step-by-step explanation:

well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35

Answer:

Step-by-step explanation:

the answer is correct  so good job ok

The deductible is the amount one pays towards the auto insurance

The complete statement is: a lower auto insurance deductible usually means a higher premium

When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible

As a general rule, the more the deductible, the lower the premium; and vice versa.

This means that: a lower auto insurance deductible usually means a higher premium

Hence, the text that completes the statement is premium

Read more about deductible and premium at:

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Answer:

A 2.41 > 2.37

Step-by-step explanation:

2.41 is greater than 2.37

Answer:

A

Step-by-step explanation:

others arent true

Answer:

3 1/5 = 16 / 5

1 1/2 = 3 / 2

16 / 5 * 3 / 2 = 48 / 10 = 24 / 5

The correct answer is 24 / 5 = 4 4 /5

(You can check on your calculator)

Answer:

6/9 or 1/3

Step-by-step explanation:

There is a total of 9 marbles of both colors in the bag.
(3 red marbles + 6 blue marble = 9 marbles)

This means the denominator of your probability will be 9. There are 6 blue marbles in the bag so, in conclusion, the probability that you will take a blue marble out of the bag is 6/9. Also, 6/9 when simplified, is 1/3.

Have a great rest of your day
#TheWizzer

Answer:

y = 1x + 7

Step-by-step explanation:

Let's take 2 points, with x being the month and y being the weight as the month is listed first in the graph.  

(0, 7) = the 1st point

(1, 8) = the 2nd point

In y=mx+b, m is the slope.

Slope = change in y / change in x = (y₂-y₁) /(x₂-x₁) = (y₁-y₂) / (x₁-x₂) = (8-7)/(1-0) = 1 / 1 = 1 = (7-8)/(0-1) = -1/-1 = 1

Our equation is thus

y = mx + b = y = (1) x + b

Plug one point, such as (1, 8) into this equation to obtain b

8 = (1) (1) + b

8 = 1 + b

subtract 1 from both sides to isolate b

7 = b

our equation is thus

y = (1) x + 7 = 1x + 7

Answer:

w = 1m + 7

Step-by-step explanation:

w = weight

m = months

If we look at the chart, as every month goes by, the baby gains another pound.

Hence, the best way to find the weight is to just add 7 to the months, since in the beginning (at 0 months) the weighs 7 pounds, so if it’s 1 month, the baby would just way 1 more pound.

This is why the formula: w = 1m + 7 works

Because 1 times the value of any month will be the same value, and all you have to do is add 7.

Example:

(x = multiply in this equation)

At 2 months: w = 1 x 2 + 7

Solve:

1 x 2 = 2

2 + 7 = 9

As you can see, all you have to do is fill in the month # in the formula, and you will get your  w (weight).

Hope this helps :)

Step-by-step explanation:

a volume is created (calculated) by multiplying 3 dimensions (e.g. length, width and height).

am area is created by multiplying 2 dimensions (e.g. length and width).

but a scale factor applies only to any length in the model (but then separately for every dimension of the model).

so, when we multiply 2 dimensions, we have to multiply the scale factor with every dimension (2 times) in there too.

and for 3 dimensions 3 times.

so,

1.

the scale factor 1/100 or 0.01 says that every side of the model cube is 1/100 the side length of the real cube.

and so, while the volume of the real cube is

side × side × side = 3,401,244 ft³,

the volume of the model cube is

side × 1/100 × side × 1/100 × side × 1/100 =

= side × side × side × (1/100)³ =

= real volume × 1/1,000,000 =

= 3,401,244 / 1,000,000 = 3.401244 ft³

2.

the scale factor is 3/4.

that means that it applies to length as well as to width of the floor.

so, the area of the first floor is

length × width = 1,260 ft²

and the area of the second floor is then

length × 3/4 × width × 3/4 =

= length × width × (3/4)² =

= area first floor × 9/16 = 1,260 × 9/16 = 708.75 ft²

Answer:median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

Answer:

298

Step-by-step explanation:

Given:

$298,$196, $248, $379, $319, $276, $198, $349, $319

Solve:

Put in order:

196, 198, 248, 276, 298, 319, 319, 349, 379

Median -

Arrange data values from lowest to highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

Solution:

196, 198, 248, 276, 298, 319, 319, 349, 379

196, 198, 248, 276, 298, 319, 319, 349, 379

196, 198, 248, 276, 298, 319, 319, 349, 379

196, 198, 248, 276, 298, 319, 319, 349, 379

 Hence, the median is 298.

~lenvy~

Answer:

[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]

Answer:

I think it's D. All rectangles are always parallelogram

Step-by-step explanation:

Please mark me brainliest if correct

Answer:

Step-by-step explanation:

From the sine of the angle, the other trig function values can be determined:

  cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3

  tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2

__

Then the unknown side can be found from ...

  Tan = Opposite/Adjacent

  tan(B) = y/x

  y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66

__

And the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(B) = x/z

  z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80

The surface area of the rectangular prism is 46m²

Surface area of a rectangular prism = 2(width×length + height×length + height×width)

SA = 2(wl + hl + hw)

= 2(2.5×4 + 2×4 + 2×2.5)

= 2(10 + 8 + 5)

= 2(23)

= 46m²

Therefore, the surface area of a rectangular prism is 46m²

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If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Probability is the likelihood of occurrance of an event. It is given by:

Probability = number of occurrence / total number of possible occurence

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.

Probability of using coupon = 32/40 = 0.8

Hence if 750 people go to this store each day, number of people sampled = 75.

Number of people expected to use the coupon = 75 * 0.8 = 60

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Find out more on probability at: https://brainly.com/question/24756209

Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3

Draw a number line and find three equal points

so points:

Answer:

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Step-by-step explanation:

Given information:

Therefore, there are 4 segments of equal distance between points O and P.    

Length of OP = 3 - 0 = 3

⇒ Length of each segment = 3/4

To find the point of Q, R and S, add 3/4 to each point:

   Point O = 0

⇒ Point Q = 0 + 3/4 = 3/4

⇒ Point R = 3/4 + 3/4 = 3/2

⇒ Point S = 3/2 + 3/4 = 9/4

   Point P = 9/4 + 3/4 = 3

Therefore,

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Answer:

81 inches

Step-by-step explanation:

I believe this is it…

Answer:

Step-by-step explanation:

add all the three.

Answer:

60

Step-by-step explanation:

AD= AB+BC+CD

=22+29+9

=60 cm

Answer:

Her average speed would be 62 mph.

Step-by-step explanation:

Step 1. Do 186 divided by 3
Step 2. The answer you would get is 62
Step 3. Label to get 62 miles per hour (mph)
I hope that this helps! :)

Step-by-step explanation:

Displacement = 186 miles

Time taken = 3hours

Average speed = ?

Now,

[tex]average \: speed = \frac{total \: distnce}{total \: time \: } \\ = \frac{186}{3} \\ [/tex]

= 62 miles per hour

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

Answer:

24 cubic inches

Step-by-step explanation:

Volume is side x side x side. You already have done side x side so it is just side x area.

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

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

x - 2 = 0

  +2   +2

x = 2

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

y + 11 = 0

   -11    -11

y = -11

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

r² = 100

r = √100

r = 10

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

Center: (h, k)

Radius: r

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

Center: (2, -11)

Radius: 10

I hope this helps!

We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.

Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is defined by:

d = b² - 4 · a · c   (1)

There are three rules to determine the number of possible intercepts:

Then, we have to find a value of b so that (1) has the following form:

b² - 4 · 3 · (-24) = 0

b² - 288 = 0

b = 12√ 2

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]

The answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:

The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?

To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747

Answer:

Step-by-step explanation:

To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.

The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.

Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

Learn more about box pot on:

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Answer :

⠀

Explanation :

We know,

[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]

Where,

⠀

Substituting the values in the formula :

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]

⠀

[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]

⠀

Therefore,