A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators leave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

R be the speed of the car.

t is the driving time.

185 = R* t

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

645 = 24R - 3rt <--- distributive

645 = 24R - 3(185)  <--- substitutes rt = 185

645 = 24R - 555

1200 = 24R

R = 50

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

Answer:

Step-by-step explanation:

a= 2x square

b= -7x

c= 17

can you choose me brainliest?

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

C = 2πr

52π

= 163.36

Answer:

52 pie square metres

Step-by-step explanation:

area of a circle=pie r^2

pie r^2=676pie

r^2=676

r=26m d=52

circumference=pie d

52 pie square metres

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

Learn more about Equations here :

https://brainly.com/question/18067015

#SPJ3

Answer:

9% increase

Step-by-step explanation:

Simple interest is an interest added on an amount of money. The yearly interest rate is 1.05%

Simple interest is an interest added on an amount of money. The formula for calculating amount is given as:

Amount. = Principal + Interest

8000 = 1280 + PRT

Substitute

8000 - 1280 = 1280(R)(5)
6720 = 6400R
R = 1.05

Hence the yearly interest rate is 1.05%

Learn more on interest rate here: https://brainly.com/question/25720319

#SPJ1

Answer:

H sin theta = X   where H = 600 and theta is 36 by alternate interior angles

X = 600 sin 36 = 353

Answer:

Exact Form:

17/15

Decimal Form:

1.1333333.....

Mixed Number Form:

1 2/15

Answer:

17 / 15

Step-by-step explanation:

LCM of 3 and 5 is 15.

4 / 5

= ( 4 / 5 ) x ( 3 / 3 )

= 12 / 15

1 / 3

= ( 1 / 3 ) x ( 5 / 5 )

= 5 / 15

( 4 / 5 ) + ( 1 / 3 )

= ( 12 / 15 ) + ( 5 / 15 )

= ( 12 + 5 ) / 15

= 17 / 15

Answer:

oh delete my answer ;-;

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer:

area of the daises part of the garden = 1/3 x 30 1/2

10 1/6 square feet

Step-by-step explanation:

area of the daises part of the garden = area of garden x 1/3

= 1/3 x 30 1/2

Convert the mixed fraction to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

= 1/3 x 61/2 = 61/6

convert to mixed fraction

10 1/6

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

Answer:

53

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

its 1/6 because all together u have 12 books and there are 2 comics so 2/12 simplified is 1/6

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

Answer:

(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰

(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰

Step-by-step explanation:

(1)

Considering the first diagram;

(4x + 29)  + (5x + 11)   +   (2x - 3) = 180 (sum of angles in a triangle)

collect like terms together;

(4x  + 5x  +  2x)  + ( 29 + 11 - 3) = 180

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143 / 11

x = 13

The angles of this triangle are calculated as follows;

4x + 29 =  (4 x 13)  + 29  = 81⁰

5x + 11  = (5 x 13) + 11 = 76⁰

2x - 3 = ( 2 x 13) - 3 = 23⁰

y⁰ + (2x - 3) = 180 (sum of angles on a straight line)

y⁰ + 23⁰ = 180

y⁰  = 180 - 23

y = 157⁰

(2)

Considering the second triangle;

(15m + 17)  +   (7m - 9)   +   (4m - 10) = 180 (sum of angles in a triangle)

(15m + 7m + 4m) + (17 - 9 - 10) = 180

26m - 2 = 180

26m = 180 + 2

26m = 182

m = 182 / 26

m = 7

The angles of this second triangle are calculated as follows;

E: 15m + 17  = (15 x 7) + 17 = 122⁰

P: 7m - 9 = (7 x 7) - 9 = 40⁰

Q: 4m - 10 = ( 4 x 7)  - 10 = 18⁰

Answer:

I think you mean area, but acres

Answer:

Liquidity management refers to a set of processes, strategies, and supporting mechanisms/tools that ensure a business or bank is able to access cash when and where it is needed. This cash could be used to pay for goods and services, payroll, debt repayment, or new investment opportunities

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

To solve first find the measurement of the angles inside the triangle. The angle across from the 60-degree angle is also 60 degrees because the two angles are vertical.

Then you can find the missing angle in the triangle by subtracting 50 and 60 from 180 because all triangles equal 180 degrees. This means y=180-(50+60); therefore, y=70.

Finally, you can x because the 70-degree angle is complementary to x. This means when they are added they will equal 180. So to solve do x=180-70, which equals 110. Therefore, x=110.

Answer:

180 - 50 - 60 = 70°

x = 180 - 70 = 110°

Answer:

$28.25

Step-by-step explanation:

$28.25

Answer: I believe it is 108 good luck girl

Answer: the last one, 31.6

Answer:

the answer is about 31.6

Step-by-step explanation:

the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.