500 people took part in a marathon. 35% of them were children and the rest
were adults. How many adults took part in the marathon?

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

l = 793/30

l = 26 13/30

Therefore, the length is 26 13/30ft

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

Answer:

6

Step-by-step explanation:

Answer:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+) ___________

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

Answer:

6x - 8 multiply 6 and x then subtract 8

Answer:

Each can invite 2 guest

Step-by-step explanation:

345+ 35= 380

450-380 = 70

70/35=2

Answer:

Each performer can get 2 guests.

Step-by-step explanation:

There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left

Since there is space for 70 more people, each performer can get (70/35) = 2 guests

Answer:

length = 3 3/4

Step-by-step explanation:

13 = 2(2 3/4) + 2l

13 = 2(11/4) + 2l

13 = 22/4 + 2l

52/4 - 22/4 = 2l

30/4 = 2l

30/4 ÷ 2 = l

30/4 x 1/2 = l

30/8 = l

length = 15/4 or 3 3/4

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

Answer:

30 sq units

3 + 2 = 5

5 x 6 = 30

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Answer:

there are no red marbles. so 0/8 is the probability

Answer:

option 3 so the second to last

Answer:

b

Step-by-step explanation:

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

Read more on z-scores here: https://brainly.com/question/4302527

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Given:

The equation of a parabola is:

[tex]y=-2x^2+7x+4[/tex]

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

[tex]y=-2x^2+7x+4[/tex]

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Answer: Acute Triangle.

Step-by-step explanation:

3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.

An acute triangle is less than 90 degrees so this an acute triangle.

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

The formula for the circumference of a circle is [tex]\pi d[/tex].

In a:

The radius is 8 cm.

Therefore the diameter (d) would be 16cm (8 * 2)

Hence, the circumference is [tex]16\pi[/tex]

In b:

The diameter is already given: 13 in.

Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)

Answer:

x=-b/2a

Step-by-step explanation:

hope that helps :)

mark as brainliest please :)

Answer:

The axis of symmetry is x

Give brailiest, i gave you correct answer

Answer:

it's a parallelogram.

Step-by-step explanation:

reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram

Answer:

x= 25.5 not rounded x=25.51393657

Step-by-step explanation:

Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.

tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)