From 1984 to 1995 the winning scores for a golf tournament were 275,279,279,276,278,277,280,282,284and 270 Find the mean of the data is

Answer:

65

Step-by-step explanation:

Angle FGH = x

Angle FGJ = 25

Angle JGH = 40

Angle FGH = Angle FGJ + Angle JGH

                x = 25 + 40

                x = 65

The value of x in the diagram is 65.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

∠JGH = 40

∠FGJ = 25

Now,

∠JGH + ∠FGJ = x

So,

40 + 25 = x

Solve for x.

x = 40 + 25

x = 65

Thus,

The value of x in the diagram is 65.

Learn more about angles here:

https://brainly.com/question/7116550

#SPJ7

Answer:

Step-by-step explanation:

(-3*4)^2 = (-12)^2 = 144

A. 234 cm

multiply the given length value ( 234 ) by 10.

[tex]234 \times 10[/tex]

[tex] = 2340 \: mm[/tex]

B. 15m

multiply the given length value ( 15 ) by 1000.

[tex]15 \times 1000[/tex]

[tex] = 15000 \: mm[/tex]

C. 25km

multiply the length value ( 25 ) by 1000000.

[tex]25 \times 1000000[/tex]

[tex] = 25000000 \: mm[/tex]

a)

234 × 10

= 2340 millimeters

b)

15 × 1000

= 15000 millimeters

c)

25 × 1000000

= 25000000 millimeters

Answer:

23

Step-by-step explanation:

let the number = X

subtracting 13 from X = X -13

multiplying the difference by -4= (X -13)×-4

the result is -40 means (X-13)×-4=-40

(X- 13)×-4 = -40

-4 X +52 = -40

collect like term

-4 X = -40-52

- 4X = -92

dividing bothsides by -4

-4 X /-4 = -92/-4

X = 23

Answer:

Surface Area = 130 sq ft

Step-by-step explanation:

If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.

Area of a rectangle is:

A = l × w

Area of the top:

5 × 10 = 50

Area of the bottom also 50.

Area of the left side:

1 × 5 = 5

Area of the right side is also 5.

Area of the front:

1 × 10 =10

Area of the back is also 10.

ADD up all 6 areas:

50+50+5+5+10+10

Surface area = 130

Area has square units.

SA = 130 square ft

Answer:

-x

The slope-intercept equation is y = -x + 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The slope is 1 because it goes 2 units down and then 2 units right. So 2 divided by 2 = 1 as slope.

[tex]\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}[/tex]

Let p = the original price

p - .4p = 12

.96p = 12

p = 12.5

The original price was $12.50

12.5 - 12 = .5

The amount of the discount was $.50

Answer:

Not accurate

Step-by-step explanation:

3+9+9=21

If the measure of the arc of the circle is 10 cm. Then the measure of the length of the radius will be 6.51 cm.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends a 2θ angle on the center of that circle.

we know the formula

Are = θ/360 x 2πr

The center of the circle below is at P. If the central angle ∠APB measures 88° and the length of arc AB = 10 cm.

Then we have

    10 = 88 / 360 x 2πr

40.91 = 2πr

       r = 6.51 cm

Learn more about angle subtended by arc here:

https://brainly.com/question/12058177

#SPJ1

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

Answer:

64:125

Step-by-step explanation:

When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25

By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125

Answer:

y intercept

Step-by-step explanation:

Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}

The point of intersection of the curves or lines on a graph is the solution of the system of equations

From the complete question, the lines intersect at approximately

(-1,-4) and (2,2)

Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}

Read more about solution set at:

https://brainly.com/question/1214333

#SPJ4

Answer:

D.

{(-1,-4), (2,2)}

Step-by-step explanation:

This should be the answer for Plato/Edmentum users. (Note: not all answers are in the same position. It might be d for me but the answer might be put under any other letter)

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

     5x - 11 + 3x - 3 + 3x + 18 = 180

      5x + 3x + 3x  -11 - 3 + 18 = 180

Combine like terms

                             11x  + 4 = 180

                                   11x = 180 - 4

                                   11x = 176

                                      x = 176/11

                                       x = 16

∠R = 5x - 11

   = 5*16 - 11

   = 80 - 11

    = 69

Apply angle sum property

m<R

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

To see how I calculated P(A), check out this link to this very similar question

https://brainly.com/question/27669586

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

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

Answer:

C

Step-by-step explanation:

Pythagorean theorem

√25²-20²=15

Answer:

C

Step-by-step explanation:

the figure is a rectangle with opposite equal sides

Consider the upper right triangle

using Pythagoras' identity

p² + 20² = 25²

p² + 400 = 625 ( subtract 400 from both sides )

p² = 225 ( take square root of both sides )

p = [tex]\sqrt{225}[/tex] = 15

Answer:

FIND IT YOURSELF

Step-by-step explanation:

YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.

Answer:

B

Step-by-step explanation:

Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137

Answer:

Step-by-step explanation:

+ 15,181 ft.

- 137 ft.

d = | 15,181 - ( - 137 ) | = 15,318 ft.

15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.

⇒ the answer is (B).

Answer:

c) 2

Step-by-step explanation:

By definition The mode is the most repeated number in the data-set.

An example of how to sketch the Ferris Wheel diagram is given in the image attached.

To solve for the angular speed, you can use the formula of"

Given that the diameter is 80 feet, so we know the radius will be 40 feet.

The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.

Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.

Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)

C = 2π(60)

C ≈ 377.04 feet

540 revolution (1 ½ rotations) is 60 seconds, the speed is then

s = d/t

s = 377.06 ft / 60 sec

s = 6.28 ft/sec

To plot the graph, the  final equation will be h(t) = 40sin(πt + π/2) + 60.

Learn more about angular speed from

https://brainly.com/question/6860269

#SPJ1

Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

2

=4+i

Real

2x+3y

​

​

+

Imaginary

(2y−3x)

​

​

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1)  &  eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

13

5

​

y=

13

14

​

∴(x,y)=(

13

5

​

,

13

14

​

)

Was this answer helpful?

upvote

196

downvote

23

SIMILAR QUESTIONS

star-struck

If e

x+iy

=α+iβ, then x+iy is called logarithm of α+iβ to the base e.∴log

e

​

(x+iy)=log

e

​

(re

iθ

) =log

e

​

r+iθ where r is modulus value of x+iy & θ be the argument of x+iy If i

α+iβ)

=α+iβ, then α

2

+β

2

 equals

Hard

View solution

>

The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to

Answer:

Q8.  a.  IR

Q9.  b.  -4

Step-by-step explanation:

Q8- what's the S.S of the inequality: x² + 4 > 2

x² + 4 > 2

⇔ x² > 2 - 4

⇔ x² > -2

Then the set of solutions is all real numbers because  x² is always a positive number which means for all real numbers  x² > -2.

……………………………………………………………………………

Q9- if x + yi = (1 + i)⁴ , then

x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4

(Just remember that (1 + i)² = 2i )

Answer:

dad

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I've used 'unit triangles' to calculate various trig values without a calculator at all!

Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.

I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.

Please give comments if you need further explanation from me!

Best of luck, Kenny!

Answer:

missing number its 9

Step-by-step explanation:

Ti find the answer you divide 99 by 11 and you find your answer

If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.

Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.  

p (Junior | Males) = number of males that are junior / total number of males

2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.

Step-by-step explanation:

The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].

Part A:

The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B:

To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.

hope this helped! :)

Answer:

1,800 more

Step-by-step explanation:

12 × 3 = 36 months

$625 × 36 = $22,500

12 × 5 = 60 months

$405 × 60 = $24,300

$24,300 - $22,500 = $1,800

the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.

Work Shown:

3 1/2 inches = 3.5 inches

total width = 28*3.5 = 98 inches

The required total width of 28 2 - by -4s laid side by side is 98 inches.

Given,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. to determine the total width of 28 2-by-4s laid side by side.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The width of a 2-by-4 piece of wood is actually 3 1/2 inches.
Now, the width of 28 2-by-4 woods laid side by side,
= 28 * 3 1 / 2
= 28 * 7 / 2
= 98

Thus, the required total width of 28 2 - by -4s laid side by side is 98 inches.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2