Lamar buys $75 worth of clothes. He pays $81,including sales tax. What is the tax rate?

Final answer:

Using the formula for the distance fallen under gravity, the height of the building is found to be approximately 70.856 meters, given a drop time of 3.8 seconds.

Explanation:

The question asks, "What is the height of a building in meters if it takes a rock 3.8 seconds to drop from its roof?" To solve this, we'll use the physics formula for the distance (height) fallen by an object under gravity, which is given by d = ½ gt², where d is the distance in meters, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time in seconds.

Substituting the given values into the equation, we have:

d = ½ × 9.8 m/s² × (3.8 s)²

= ½ × 9.8 × 14.44

= 70.856 meters

Therefore, the height of the building is approximately 70.856 meters.

Answer:

Step-by-step explanation:

Alright, lets get started.

The surface area of green solid is :

[tex]2 (3*3 + 3*3 + 3*3) = 2*27=54[/tex]

The surface area of orange solid is :

[tex]2(5*5 + 5*5 + 5*5) =2*75= 150[/tex]

So the ratios of their surface area will be :

[tex]\frac{54}{150}[/tex]

[tex]\frac{18}{50}[/tex]

[tex]\frac{9}{25}[/tex]

Hence the answer is 9:25   :  Answer Hope it will help :)

There are 5 sides (a pentagon). The perimeter is the length of one side times the number of sides.

The polygon has 5 sides. The specific type of polygon with 5 sides is called a pentagon.

The perimeter of a polygon is the total length of all its sides. In a regular polygon, all sides are equal in length. So, if each side of the polygon is 2.5 cm and the perimeter is 12.5 cm, we can find the number of sides by dividing the perimeter by the side length:

Number of sides = Perimeter / Side length

Number of sides = 12.5 cm / 2.5 cm

Number of sides = 5

Answer:

The equation of the ellipse is :

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

Formula for the equation of an ellipse is given by :

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

where a and b are the horizontal and vertical intercepts of the ellipse on the coordinate axis.

Here, a = 959 + 357

             = 1316

And, b = 959 + 710

           = 1669

So, the equation of the ellipse is :

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

it would be C. Y=4X

Answer:

You will need approximately 1.17 L of water with 3.5 L of glue.  This is a total of 4.67 L, which is NOT enough.

Step-by-step explanation:

Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Ratio of glue and water = 3 : 1

Amount of mixture = 5 litres

Georgie has glue = 3.5 litres

Now let x be the number,

So, Amount of glue in the mixture = 3x

and, amount of water in the mixture = x

⇒ Amount of mixture = 3x + x

⇒ 3x + x = 5

⇒ 4x = 5

⇒ x = 5/4

⇒ x = 1.25

Thus, Amount of glue in the mixture = 3*1.25 litres

⇒ Amount of glue in the mixture = 3.75 litres

So, Amount of glue in the mixture is greater than amount of glue Georgie has.

Thus, Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

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Answer:

46 jumps per minute.

Step-by-step explanation:

We have been given that Delilah does 184 jumping jacks in 4 minutes.

Since Delilah is jumping jacks at a constant rate, so the number of jumps per minute would be 184 divided by 4.

[tex]\text{Number of jumps per minute}=\frac{\text{184 jumps}}{\text{4 minutes}}[/tex]

[tex]\text{Number of jumps per minute}=\frac{\text{46 jumps}}{\text{minute}}[/tex]

Therefore, Delilah is jumping at a rate of 46 jumps per minute.

Answer:

As per the given statement: A forest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet.

Shape of the trunk of a tree is circle.

Use the circumference formula:

[tex]C = 2\pi r[/tex]

where C is the circumference of a circle and r is the radius of a circle.

Solve for r;

Given: C = 8.6 feet and use [tex]\pi = 3.14[/tex]

Substitute the given value we get;

[tex]8.6 = 2 \times 3.14 \times r[/tex]

Simplify:

[tex]8.6 = 6.28r[/tex]

Divide both sides by 6.28 we get;

r = 1.6942675 feet

Therefore, the trunk's radius to the nearest tenth foot is, 1.4 ft

Answer:1.4

Step-by-step explanation:

that is it its not that hard

The measure of center that best represents the daily average of customers at the coffee shop is the mean, which is calculated by summing up all the numbers and dividing by the total count.

To find the measure of center that best represents the daily average of customers at the coffee shop, we can calculate the mean, median, and mode of the given data set. The mean is the sum of all the numbers divided by the total count, the median is the middle value when the numbers are arranged in increasing order, and the mode is the number that appears most frequently.

Mean: Add up all the numbers and divide by the total count: (135+124+140+122+409+132+119+128+136+125)/10 = 157.

Based on these calculations, we can conclude that the measure of center that best represents the daily average of customers at the coffee shop is the mean since it takes into account all the values in the data set.

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Answer:  The required value of x is 64.

Step-by-step explanation:  We are given to find the value of x from the figure.

From the figure, we see a right-angled triangle in which an acute angle has measurement x°.

And, for the angle with measurement x°, the base has a length of 3.0 units and hypotenuse has a length of 6.8 units.

Therefore, the cosine of that angle will be

[tex]\cos x^\circ=\dfrac{base}{hypotenuse}\\\\\\\Rightarrow \cos x^\circ=\dfrac{3.0}{6.8}\\\\\\\Rightarrow \cos x^\circ=0.4411\\\\\Rightarrow x^\circ=\cos^{-1}(0.4411)\\\\\Rightarrow x^\circ=63.83^\circ\\\\\Rightarrow x=63.83.[/tex]

So, to the nearest whole number, we get

x = 64.

Thus, the required value of x is 64.

The area of the circle for the given circumference is 36π square units.

Every point in the plane of a circle, which is a closed, two-dimensional object, is evenly separated from the center. All lines that cross the circle join together to produce the line of reflection symmetry. Every angle also possesses rotational symmetry about the center.

Given circumference of circle = 12π

the circumference is given by 2πr

where r is the radius,

2πr = 12π

2r = 12

r = 6 units

and the area of a circle is πr²

A = πr² = π(6²)

A = 36π square units

Hence the area of circle is 36π square units.

Learn more about circles;

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The area of the circle with circumference [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex] square units.

To find the area of a circle when given its circumference, we start by using the formula relating circumference ([tex]\( C \)[/tex]) and radius ([tex]\( r \)[/tex]):

[tex]\[ C = 2\pi r \][/tex]

Given that the circumference [tex]\( C \)[/tex] is [tex]\( 12\pi \)[/tex], we set up the equation:

[tex]\[ 12\pi = 2\pi r \][/tex]

Next, solve for [tex]\( r \)[/tex] by dividing both sides by [tex]\( 2\pi \)[/tex]:

[tex]\[ r = \frac{12\pi}{2\pi} \][/tex]

[tex]\[ r = 6 \][/tex]

Now that we have found the radius [tex]\( r = 6 \)[/tex], we can find the area ([tex]\( A \)[/tex]) of the circle using the formula for the area of a circle:

[tex]\[ A = \pi r^2 \][/tex]

Substitute [tex]\( r = 6 \)[/tex]:

[tex]\[ A = \pi \cdot (6)^2 \][/tex]

[tex]\[ A = \pi \cdot 36 \][/tex]

[tex]\[ A = 36\pi \][/tex]

Therefore, the area of the circle with a circumference of [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex].

To repeat the pattern, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated.

To repeat the pattern of the border around the top of the walls in your room, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated. For example, if the pattern is repeated 4 times around the room, the angle x would be 360 degrees divided by 4, which is 90 degrees.

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By converting mixed numbers to decimals and multiplying the total number of cups of flour by the cost per cup, we find out Maria will spend $3.80 on flour, which is option C.

To find out how much Maria will spend on flour to make her cookies, we need to calculate the total cost of white and whole wheat flour. Maria needs 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour. First, we convert the mixed numbers to decimal form: 3 1/10 cups is 3.1 cups, and 4 1/2 cups is 4.5 cups. Then we add them together to find the total number of cups Maria will use:

3.1 cups + 4.5 cups = 7.6 cups

Next, since flour costs $0.50 per cup, we multiply the total number of cups by the cost per cup:

7.6 cups × $0.50 per cup = $3.80

Therefore, Maria will spend a total of $3.80 on flour for her cookie recipe, making the correct answer C. $3.80.

Answer:

[tex] a_{n} = - 5 {( - 2)}^{n - 1} [/tex]

[tex]b = - 5[/tex]

[tex]c = - 2[/tex]