What is the value of x?

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

Answer:

39°

Step-by-step explanation:

The sum of AXE, AXC and CXF will be 180 because they together span a straight line (EF).

So: y + 90 + y - 12 = 180, which is an equation you can solve by simplifying it:

y + 90 + y - 12 = 180

2y + 78 = 180

y + 39 = 90

y = 90 - 39 = 51

So AXE = 51

AXC = 90

CXF = 51-12 = 39 (the answer)

Check: 51+90+39 = 180

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

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

                                           2√2

Step-by-step explanation:

Answer:

27/30

Step-by-step explanation:

yepyffghhhhgghjj

Answer:

9/10 or 0.9

Step-by-step explanation:

When adding fractions, you look at each of them as an equal number, or a whole.

25+36

91

So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)

90

And it would be 9/10, or 0.9

Hope this helps!

Answer:

4/9, or 0.4∞

but 0.4∞ has a repeating decimal, so the expanded form is ∞ also

Answer: they can make 240 bagels in 6 hours and the rate per hour is 40

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5%

Explanation:

Divide 100 by 8 to get 12.5

Multiply 12.5 by 5

Equals 62.5

Answer:

The Pythagorean Theorem is helpful for two-dimensional navigation.   You can use it along with two lengths to calculate the shortest path. The lengths north and west will be the triangle's two wings, and the diagonal will be the shortest line separating them.  The same principles can be used for air navigation. He is best known in the modern day for the Pythagorean Theorem, a mathematical formula which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

- Hope this helps! :)

Answer:

x= 114, y= 66

Step-by-step explanation:

Opposite angles of a parallelogram are equal

Answer:

median, 60

Step-by-step explanation:

Answer:

it is 60 my friend.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

The axis of symmetry: is the line that makes the parabola split in exactly half and lines up with the vertex. For that parabola x=1 is the line of symetry.

The vertex is where the minimum of the graph is, on this graph you can eyeball it to be (1,-9)

The x-intercept is where y is 0 so that's where the lines intersex with the x-axis. (-2,0) and (4,0)

The y-intercept of the function is where x is 0 and where the parabola intersects with the y-axis. On this graph it would be (0,-8)

Hope that helps :)

Answer:

I believe x would be 30

Step-by-step explanation: When you add 20+10 it will give you the other triangle side, which is  30, and then 22+11 will be 33. And for the final side 24+12 will give you 36

Answer:

50 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

a = 48

b = 14

c = ?

Step 2: Solve for c

Answer:

The probability of getting a white or green gumball is 35.64%.

Step-by-step explanation:

1. calculate the total number of gumballs in the gumball machine

35 + 22 + 30 + 14 = 101 gumballs

2. calculate the number of white and green gumballs combined

22 + 14 = 36 w/g gumballs

3. divide the number of white and green gumballs combined by the total number of gumballs in the gumball machine

36 / 101 = 0.3564

Answer: the probability of getting a white or green gumball is 35.64% (0.3564).

Probability is the chance of occurring an event from the total possible outcomes.

The probability of getting a white or a green gumball is 57/101.

It is the chance of occurring an event from the total possible outcomes.

We have,

Green gumballs = 35

White gumballs = 22

Purple gumballs = 30

Blue gumballs = 14

Total gumballs = 35 + 22 + 30 + 14 = 101

The combination is given by:

= [tex]^nC_{r}[/tex]

= n! / r! (n-r)!

The probability of choosing a white gumball:

= [tex]\frac{^{22}C_{1}}{^{101}C_{1} }[/tex]

= 22 / 101

The probability of choosing a green gumball:

= [tex]\frac{^{35}C_{1}}{^{101}C_{1} }[/tex]

= 35 / 101

The probability of getting a white or a green gumball:

= 22/101 + 35 / 101

= (22 +35) / 101

= 57 / 101

Thus the probability of getting a white or a green gumball is 57/101.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ5

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

Answer:

nosee

Step-by-step explanation:

Answer:

Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).

Step-by-step explanation:

32.

Median: 88

Maximum (largest number): 102

Minimum (lowest number): 38

Interquartile range:

96 - 72 = 24

b.

25 % higher

75 % lower?

c.

You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.

???.

First quartile: 16

Second: 19

Third: 20

Range: 4

34.  Since they are already in least to greatest order, all we have to do is graph it!

85 - 99 is 2

100 - 114 is 1

115 - 129 is 5

130 - 144 is 6

Answer:

16. Right isosceles

17. D

Step-by-step explanation:

The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.

16. right isosceles

17. C: all rectangles are squares

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation:

If 1 house key weighs 1/2 ounce,

Then do 5×1/2 which is 5/2

or [tex]\frac{1key}{5key} \frac{1/2ounce}{?}[/tex]

With this cross multiply and get 1x=5/2

giving a total of 5/2 again when divided by 1.

Answer:

C - 18 pi

Step-by-step explanation:

edge

Answer:

5/18

108

A sector has an area of 30π in.2. The radii containing the sector form an angle of 100°. What is the area of the circle?

The ratio of the angle of the sector to the entire circle is

✔ 5/18

.

Area of the sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared). 30 pi = StartFraction 100 degrees over 360 degrees EndFraction (pi) (r squared). (StartFraction 18 over 5 EndFraction) 30 pi = (pi) r squared.

The area of the entire circle is

✔ 108

Pi in.2

Answer:

Steps:

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

Answer:

The answer is 4.5

Step-by-step explanation:

x =4.5

Fill in 4.5