mr and mrs smith buy tickets for themselves and their four children, the cost of an adult ticket is £9 more than the cost of a child ticket. the total cost of the six tickets is £55.50. work out the cost of an adult ticket

Answer:

Step-by-step explanation:

A)0.000421m^2

C)25000L^2

B)9300000g^2

D)0.001439km^2

Answer:

a = 8,059.52 m²

Step-by-step explanation:

Area of square

a = s²

a = 56²

a = 3,136

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

Area of circle

a = πr²

a = 3.14(56/2)²

a = 2,461.76

Area of 4 semicircles = area of 2 circles

a = 2,461.76 * 2

a = 4,923.52

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

Total area

a = 3,136 + 4,923.52

a = 8,059.52 m²

Answer:

its actually d

Step-by-step explanation:

it compares height to time

[tex] 4 {x}^{2} + 20x + 16[/tex]

Step-by-step explanation:

[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

: D. Chemical energy is transformed to light and thermal energy

Answer:

X

Step-by-step explanation:

2x-x=x

5-5=0

Answer:

[tex]2x + (-x) + 5 + (-5) = x[/tex]

Step-by-step explanation :

Remove Parenthesis :

[tex]2x - x + 5 - 5[/tex]

Add similar elements :

[tex]x + 5 - 5[/tex]

Add them up :

[tex]5 - 5 - 0 = x[/tex]

The more accurate value is 1037.51097384802

Round that however you need to.

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

Explanation:

We need the circumference of the equator. Think of the equator as the largest possible circle (or belt) to fit around the earth.

C = pi*d

C = pi*7926

C = 7926pi

C = 24,900.2633723527

In 24 hours, a person at the equator travels roughly 24,900.2633723527 miles since the earth does a full rotation in this timespan.

Divide the two quantities distance over time to get the speed

rate = distance/time

rate = (24,900.2633723527 miles)/(24 hours)

rate = ( (24,900.2633723527)/(24) ) miles per hour

rate = 1,037.51097384802

rate = 1038 mph

I'm rounding to 4 sig figs since the diameter is given to be in four sig figs.

This speed of roughly 1038 mph is a linear speed and not an angular speed.

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

Extra info (optional section)

Upon further research, I found an article from NASA JPL (jet propulsion laboratory) which states quote:

"To make one complete rotation in 24 hours, a point near the equator of the Earth must move at close to 1000 miles per hour (1600 km/hr)"

Their figure of 1000 mph seems to be a rough estimate, more or less. It's fairly close to the 1038 figure we got earlier.

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

B 10.8 or

A 9.2 depending on what side of the triangle is "x".

Step-by-step explanation:

we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).

but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).

then by using Pythagoras

c² = a² + b²

=>

x² = 10² + 4² = 116

x = sqrt(116) = 10.8

but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.

for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this

10² = x² + 4²

x² = 10² - 4² = 84

x = sqrt(84) = 9.2 (and answer A would be correct).

or if the Hypotenuse is the side with 4, then

4² = x² + 10²

x² = 4² - 10² = -84

x = sqrt(-84)

and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.

Answer:

one measurement

Step-by-step explanation:

hope it's helpful for you ☺️

Answer:

x = 21.46

Step-by-step explanation:

[tex]cos 56 = \frac{adjacent}{hypotenuse} = \frac{12}{x}\\\\x = \frac{12}{cos 56} = 21.46[/tex]

Answer:

Step-by-step explanation:

take 56 degree as reference angle

using cos rule

cos 56=adjacent/hypotenuse

0.55=12/x

x=12/0.55

x=21.81

x=21.8

Answer:

m∠B = 76°

Step-by-step explanation:

[tex]\frac{sinB}{b}=\frac{sinC}{c}\\\\sinB=\frac{sinC}{c}(b)\\\\B=sin^{-1}(\frac{sin(29)}{9}(18))\\\\B=75.8=76[/tex]

Therefore, m∠B = 76°.

Answer:

Step-by-step explanation:

2x²-3=47

2x²=47+3

x²=50/2=25

x=±√25=±5

Answer:

x = ±5

Step-by-step explanation:

2x^2 - 3 = 47

Add 3 to each side

2x^2 - 3+3 = 47+3

2x^2 = 50

Divide each side by 2

2x^2 = 50/2

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

135°

Step-by-step explanation:

Choose the inside scale

Answer:

Step-by-step explanation:

circumference=2πr

=2*3.14*20

=125.6 inches

The circumference of the tire is 125.6 inches.

We have given that,

A tire has a radius of 20 inches.

We have to determine the circumference of the circle

C=2πr

C=circumference

r=radius of the circle

Use this value in the circumference of the circle

Therefore we get,

=2*3.14*20

=125.6 inches

Therefore the circumference of the tire is 125.6 inches.

To learn more about the circumference of the circle visit:

https://brainly.com/question/20489969

#SPJ2

Answer:

Earth's Rotation

Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.

Answer:

growth

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]

On the left, we can multiply both layers by (1 + sin(y)):

[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]

Multiply:

[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]

From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:

[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]

Cancel:

[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]

Hence proven.

The tank contains approximately 26.67 liters of water.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Dimensions of the tank: 50 cm by 32 cm by 20 cm

The ratio of water to sand: 5: 1

The volume of the tank: 32,000 cm³

Calculate the volume of the tank first:

Since the ratio of water to sand is 5:1,

Calculate the volume of water.

Assign the variable "x" to represent the volume of water.

According to the ratio,

The volume of sand would be 1/5th of the volume of water,

So the volume of sand would be (1/5)x.

Since the tank is full,

The combined volume of water and sand is equal to the volume of the tank.

Therefore, we have the equation

x + (1/5)x = 32,000 cm³.

Simplifying the equation,

we get (6/5)x = 32,000 cm³.

To find the volume of water (x),

Solve for x by multiplying both sides of the equation by (5/6):

x = (32,000 cm³)(5/6).

Calculating this, we get the volume of water as 26,666.67 cm³.

Now, to convert this to liters,

Divide by 1000:

26,666.67 cm³ ÷ 1000 = 26.67 liters.

Hence, there are approximately 26.67 liters of water in the tank.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ4

Answer:

Step-by-step explanation:

4ab(a-b)+b(2b-2a^2)

=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}

=-4(1+1)-1{-2-2}

=-4*2-1(-4)

=-8+4

=-4

Answer:

by my calculations the answer is 10

Step-by-step explanation:

4×1(1-1)+1(2×1-4)

4+1(2-4)

5×2

10

Answer:

[tex]n = 100[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

The mark up is $2.20 and the new price of each T-shirt is $6.20.

Step-by-step explanation:

Before we find the new price of each T-shirt we must find the markup (by how much were raising the price).

The problem states each T-shirt costs $4.00, but then marks up the price of each by 55%.

Step 1 would be to find 55% of $4.00.

0.55 * 4 = 2.2

So that is the mark up, the price is going up by $2.20. To find the new price of each T-shirt, you take that $2.20 and add it to the original $4.00.

$4.00 + $2.20 = $6.20

So the mark up is $2.20 and the new price of each T-shirt is $6.20.

Answer:

64-degree ( Alternate angles)

Answer:

y = 64 degree

Step-by-step explanation:

angle y =  64 degree (being alternate interior angles)

y° = 64°

Answer:4

Step-by-step explanation:

Answer:

a circule

Step-by-step explanation: