Mateo made a cylindrical plant stand out of a block of wood. The plant stand has the measurements shown.

Mateo wants to paint all sides of the plant stand with a waterproof sealer. What is the approximate surface area, using 3.14 for m? Use the formula for surface area of a cylinder, А = 2πr² + 2πrh. PLLEASER HELP ME

r= radius. 5in. h= height. 12 in

As a result, their student film's overall budget was $1200, with $192 spent on props and 68% of the budget allocated to equipment.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

On a student movie, some pals were engaged.

On props and equipment, they used the entire budget.

A total of $24% of the budget was spent on equipment, or $912, on props.

Let's write down the movie's overall budget as x.

$870 was spent on the equipment.

The props budget is equal to 24% of x.

Equipment costs plus prop costs equal the total budget.

x = 912 + 24% of x

x = 912 + 0.24x

x - 0.24x = 912

0.76x = 912

x= 912/0.76

x = $1200

As a result, their student film's overall budget was $1200, with $192 spent on props and 68% of the budget allocated to equipment.

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The equation 12x + 6y = -20 and -3x + y = 5 will have infinitely many solutions when the coefficient of y in 12x + 6y = -20 is -4

When the lines are coincident and they share the same y-intercept, and slope the system of equations has an infinite number of solutions.

If the slope and y-intercept of two lines match, they are in fact the exact same line.

In the problem, the equations are 12x + 6y = -20 and -3x + y = 5

when the ratio of each parameter are equal then the lines have infinite many solutions

x: 12 / -3 = -4

constant: -20 / 5 = -4

let the coefficient be k

y:  k / 1 = -4, k = -4

hence the coefficient should be -4

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The perimeter of the circular figure is P = 36.85 feet

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the perimeter of the figure be represented as P

Now , the perimeter of the figure P = perimeter of circle + perimeter of lengths of sides

The total lengths of sides = ( 3 + 3 + 3 + 3 + 3 + 3 ) feet

The total lengths of sides = 18 feet

And , the circumference of circle = 2πr

The diameter of the circle d = 12 feet - 6 feet

The diameter of the circle d = 6 feet

So , the radius of the circle r = d/2 = 3 feet

And , the circumference of circle = 2 x π x 3

The circumference of circle = 6π

So , perimeter of the figure P = ( 6π + 18 ) feet

Perimeter of the figure P = 36.849 feet

Hence , the perimeter of the figure is 36.85 feet

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The value of x and y in the equation will be 15.2 and -1.84 respectively.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

Based on the information given, the equation is given as:

6x - 3y = 66

x + 3y = -10

Subtract equation i from ii

5x = 76

Divide

x = 76 / 5

x = 15.2

The value of y will be:

= x + 3y = 10

15.52 + 3y = 10

3y = -5.52

y = -5.52 / 3

y = -1.84

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Answer:

8. Missing side = 50

9. Missing side = 8

Step-by-step explanation:

In order to find the hypotenuse, we have to use the Pythagorean Theorem which states:

[tex]a^{2} +b^{2} = c^{2}[/tex]

Where a and b are sides and c is the hypotenuse.

[tex]14^{2} +48^{2} = c^{2}[/tex]

196 + 2304 = [tex]c^{2}[/tex]

2500 = [tex]c^{2}[/tex]

[tex]c[/tex] = [tex]\sqrt{2500}[/tex]

[tex]c = 50[/tex]

[tex]15^{2} +b^{2} = 17^{2}[/tex]

225 + [tex]b^{2}[/tex] = 289

[tex]b^{2}[/tex] = 64

[tex]b[/tex] = [tex]\sqrt{64}[/tex]

[tex]b=8[/tex]

The model of the growth of the quantity is A(t) = 350(1.10)^t.  The expression for the size of the quantity after 50 years is A(50) = 350(1.10)⁵⁰.

What is a function?

A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output.

Given that a quantity starts with a size of 350 and grows by 10% per year.

The growth of the object can be calculated by using the exponential function:

A = P(1+r)^t

A = final amount

P =  initial size

r = rate of increasing

Here P = 350, r = 10% = 0.10

The model becomes:

A(t) = 350(1+0.10)^t

A(t) = 350(1.10)^t

To find the quantity after 50 years, put t = 50 in A(t) = 350(1.10)^t:

A(50) = 350(1.10)⁵⁰.

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Answer:

To divide 3 4/7 by 2/5, you will need to convert the mixed number 3 4/7 to an improper fraction. To do this, you will multiply the whole number (3) by the denominator of the fraction (7) and add the numerator (4) to get an improper fraction of 25/7.

Next, you will divide the numerator of the first fraction (25) by the numerator of the second fraction (2) and divide the denominator of the first fraction (7) by the denominator of the second fraction (5). So the answer is 25/2 divided by 7/5 which is equivalent to 25/2 * 5/7 = 25/14 which can be simplified further to 5/2

For the functions f(x) = -x²- 8 and g(x) = 3x + 5 the value for f(g(-4)) = -57.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The given functions are -

f(x) = -x²- 8

g(x) = 3x + 5

The evaluation is for f(g(-4)).

Substitute value of x = -4 in function g(x) -

g(x) = 3x + 5

= 3(-4) + 5

= -12 + 5

= -7

Now, substitute the value of x = -7 in function f(x) -

f(x) = -x²- 8

= - (-7)² - 8

= - 49 - 8

= -57

Therefore, the value is obtained as -57.

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A quadrilateral is a four-sided polygon, and it can come in various shapes and forms such as square, rectangle, rhombus, parallelogram, etc.

To find the value of x (the measure of an interior angle in a quadrilateral) using the formula (n-2) * 180 / n, you need to know that a quadrilateral has 4 sides (n = 4).

Given that the interior angle is 69, we can substitute n = 4 into the formula:

x = (4-2) * 180 / 4

This simplifies to:

x = (2) * 180 / 4

x = 90

Therefore, the measure of an interior angle in a quadrilateral is 90 degrees. Since you have given one of the angle as 69 degree, we can say that the quadrilateral is not a convex quadrilateral.

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We can write that -

An irrational number is a number that cannot be expressed as a fraction p/q for any integers {p} and {q}.

Given are the numbers to be verified as rational or irrational.

Therefore, we can write that -

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Answer:

(10x + 2) + (3x + 9) = 180

x= 13

I think this is the right answer.

Step-by-step explanation:

The mass percentage of Cesium in the sample is 25.0 %. (Correct choice: C)

Herein we find the case of a mixture of two elements: Cesium, Iodine, whose Cesium mass percentage can be determined by the following formula:

%m = [mCs / (mCs + mI)] × 100 %

Where:

If we know that mCs = 100 g and mI = 300 g, then the Cesium mass percentage is:

%m = [100 g / 400 g] × 100 %

%m = 25 %  

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Answer:

see explanation

Step-by-step explanation:

(a)

the radius r of a circle is half the diameter , so

r = 10 ÷ 2 = 5

(b)

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r the radius

here (h, k ) = (3, - 8 ) and r = 5 , then

(x - 3)² + (y - (- 8) )² = 5² , that is

(x - 3)² + (y + 8)² = 25 ← equation of circle

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has.

Describe an angle. An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasises how the shapes are arranged in relation to one another and their spatial characteristics.

We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces.

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There are 67 more baseballs than basketballs.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a coach buys 125 more soccer balls than basketballs He buys 58 fewer baseballs than soccer balls.

Let the number of soccer balls be x, and that of basketballs and baseballs be y and z respectively.

Therefore, according questions,

x-y = 125

x = 125 + y...(i)

x-z = 58

x = 58 + z...(ii)

Now, since, LHS of both equations are equal,

125 + y = 58 + z

z - y = 67

Since, y is being subtracted by z and result is positive, therefore, number of baseball is greater than number of basket balls,

Hence, there are 67 more baseballs than basketballs.

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Answer:

  d.  m = 9/4

Step-by-step explanation:

You want the solution to ...

  1/√8 = 4^(m -3)

It will be convenient to rewrite this equation in terms of powers of 2.

  [tex]\dfrac{1}{\sqrt{8}}=4^{(m-3)}\qquad\text{given}\\\\\dfrac{1}{2^{\frac{3}{2}}}=(2^2)^{(m-3)}\qquad\text{using powers of 2}\\\\-\dfrac{3}{2}=2(m-3)\qquad\text{equate the exponents of 2}\\\\-\dfrac{3}{4}=m-3\qquad\text{divide by 2}\\\\\boxed{m=\dfrac{9}{4}}\qquad\text{add 3}[/tex]

The highest grade point is 93 and the lowe

Here we use the Linear Equation concept to calculate the unknown highest and lowest grades. Since we don't know both grade points we represent them with two different variables and will form mathematical expressions as given in the problem.

Solve the equation for the value of variables to get the number of points in given grades.    

Here we have

The highest grade was 14 points higher than the lowest grade.  

Let 'x' be the highest grade and 'y' be the lowest grade

From the given data,

=> x = y + 14 ---- (1)  

Given the sum of the two grade points is 172  

=> x + y = 172 --- (2)

Substitute x = y + 14

=> y + 14 + y = 172

=> 2y + 14 = 172

=> 2y = 158

=> y = 79

Substitute y = 79 in (1)

=>  x = 79 + 14

=>  x = 93

Therefore,

The highest grade point is 93 and the lowest grade point is 79.  

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Answer:46

Step-by-step explanation: just divide 552 by 12

its 46

The original cost of the item, given the cost to the store and the markup, can be found to be $ 200

Given that the cost to the store is $ 160 and they would charge a  25 % markup on this cost, the original cost can be denoted as x and the formula would be:

x = Cost to store x ( 1 + markup percentage )

The original cost to the customer would then be:

= 160 x ( 1 + 25 %)

= 160 x 1 .25

= $ 200

The original cost charged by the store to the customer is $ 200.

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The question is:

Find the original cost that the store will charge to the customer. cost to store=$160 markup= 25%

Answer: When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:

-x2 + 3x − 8.

To simplify the expression you can start by combining like terms:

-3x^2 - (-2x^2) = -3x^2 + 2x^2 = -x^2

then,

-x^2 + 2x -4 - (-x -4) = -x^2 + 2x -4 + x +4 = -x^2 + 3x

And finally,

-x^2 + 3x − 8.

Step-by-step explanation:

Answer:

0.7667

Step-by-step explanation:

Answer:

7^3/4

Step-by-step explanation:

use the formula below to solve your problem

The required measure of angle m∠3 = 60° for the given figure.

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

As per the interior angle property, we have

40° + 85° + m∠1 = 180°

m∠1 = 180° - 40° - 85°

m∠1 = 55°

Since m∠1 = m∠2 (opposite angles)

m∠2 + m∠3 + 55° = 180°

55° + m∠3 + 55° = 180°

m∠3 = 180° - 55° - 55°

m∠3 = 60°

Thus, the required measure of angle m∠3 = 60°

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Answer: The probability is 1/20, or in decimal form 0.05 (probability of 5%)

Step-by-step explanation:

This is because there are 20 people in the class, including Shania. Since they are all equally likely and Shania is 1 out of the 20 students in the class, she has a 1 in 20 chance (which when simplified equals 0.05). When the symbol is added, you move the decimal 2 points to the right to get your probability, because a value of 1 is a 100% probability (as shown by the method took to find probability previously in the explanation, Shania/the number of people in the class: 1/20).

Answer: 53 degrees

Step-by-step explanation:

X = 360 - 307 = 53 degrees

Answer:

53

Step-by-step explanation:

subtract 307 from 360

You can use the law of sines along with the angle of elevation given to find out the length of the distance of the vertical beam from the lower end of the support beam(horizontally).

The distance between lower end of the support beam from the vertical beam along the horizontal floor is given by

Option A: 3.0 meters

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}[/tex]

Remember that we took

[tex]\frac{sin(angle)}{Length Of The Side Opposite To That Angle}[/tex]

Using the law of sines, as referring in the figure attached below, we get:

[tex]\frac{sinC}{|AB|} = \frac{sinA}{|BC|}[/tex]

Since in a triangle, the sum of its angle is 180 degrees, thus,

∠A + ∠B + ∠C = 180°

∠A = 180°- 28° - 90° = 62°

Using the fact that |AB| = 1.6 meters and that angle C is of 28°, we get

[tex]\frac{sinC}{|AB|} = \frac{sinA}{|BC|}\\\frac{sin28}{1.6} = \frac{sin62}{|BC|}[/tex]

Using the sin calculator

[tex]\frac{0.469}{1.6} = \frac{0.8829}{|BC|}\\ |BC| = \frac{0.0029*1.6}{0.469} = 3.012[/tex]

|BC| ≈ 3 meters

Thus,

As length of BC = |BC| = 3 meters denote the horizontal length from the vertical beam and the lower end of the support beam, thus,

The distance between lower end of the support beam from the vertical beam along the horizontal floor is given by 3 meters.

Option A: 3.0 meters.

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Complete question:

A support beam needs to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. The vertical beam meets the floor at a 90° angle.

Law of sines:

Approximately how far from the vertical beam should the lower end of the support beam be placed along the horizontal floor?

3.0 meters

3.4 meters

3.9 meters

4.4 meters

Answer: a) 3.0

Step-by-step explanation:

just did it