The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.

Answer:

(- 1, 9 )

Step-by-step explanation:

6x - y = - 15 → (1)

x + 2y = 17 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

12x - 2y = - 30 → (3)

add (2) and (3) term by term to eliminate y

13x + 0 = - 13

13x = - 13 ( divide both sides by 13 )

x = - 1

substitute x = - 1 into either of the 2 equations and solve for y

substituting into (2)

- 1 + 2y = 17 ( add 1 to both sides )

2y = 18 ( divide both sides by 2 )

y = 9

solution is (- 1, 9 )

The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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The term 5 in 5x is known as the coefficient of the expression.

A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.

A coefficient is a generally a multiplicative factor in a polynomial series, or in an  equation.

Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.

Eg, 2x - 90 =45

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There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.

The steps to create a line graph to compare two sets of data:

Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.

Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.

Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.

Add a title: Give the graph a title that describes what the graph is showing.

Add a legend: Add a legend to the graph to indicate what each set of data represents.

Add labels: Label the x- and y-axes to indicate what they represent.

By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.

Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.

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Answer:

5 trucks

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

MOEN fip

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Answer:

(-3, 5)

Step-by-step explanation:

parallelograms and relatively even shapes, so how ever far apart the bottom two vertices are apart is how far apart you would space the top ones. simply add the x coordinates absolute values (meaning ignore negative values for now) 6+0=0. 6 Units away from 3( top vertex is (3,7)) would be -3. for the y coordinates you gotta look at y coordinates of the top vertex and bottom right vertex. they're ten units apart. go ten up from -5( because the bottom left vertex is (-6,-5) and you get 5. so overall (-3,5) would be the last vertex

Answer:

(-3,5)

Step-by-step explanation:

Since parallelograms are relatively even shapes, the distance between the bottom two vertices determines the distance between the top two. Simply add the absolute values of the x coordinates (meaning ignore negative values for now) 6 + 0 = 0 -3 is 6 units away from 3 (top vertex is (3,7)). Look at the y coordinates of the top vertex and bottom right vertex for the y coordinates. They're separated by ten units. Since the bottom left vertex is (-6,-5) and you get 5, go ten up from -5.

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

Answer:

∠a = 135°

Step-by-step explanation:

There is a formula for finding the sum of the interior angles of any polygon.

N = number of sides

sum of interior angles = (180° x N) - 360°

so:

(180° x 8) - 360° = 1080°

1080°/8 angles = 135° each angle

The correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, Samara placed the congruent sides of these two triangles together to form a quadrilateral.

2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.

If we construct such quadrilateral, we will get a trapezoid with one angle a right angle.

Hence, the correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.

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Answers:

1. B its a trapezoid

2. D it has two right angles

3. E it has 2 sides that are parallel

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

number of favorable outcomes (red jelly beans) = 7

number of total outcomes (total jelly beans) = 7 + 2 + 6 = 15

probability of red = number of favorable outcomes/number of total outcomes = 7/15

The probability of getting a red jelly bean is 7/15

Total number of jelly beans in the jar (sum of all the jelly beans): 7+6+2= 15

Total number of red jelly beans: 7

Therefore, the probability of getting a red jelly bean= number of red jelly beans/ total number of jelly beans

=7/15

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Answer:

la respuesta sería ..many.. for I finite solutions ....lla que esta ecuación cepuede resolver de muchas formas como 3^2 pasando a multiplicar y muchos más metodos

Answer:

77 this answer is rounded to the nearest tenth

Step-by-step explanation:

The formula for the are of a circle is A=πr² so thats π7² which is equaled to about 153.9 since this is a semicircle you'd divide that by two giving you 76.96902.

Answer: kite

Step-by-step explanation:

Looks like a kite

Plz give me brainiest

kite

Step-by-step explanation:

this is a kite is a quartlateral but it bisects equally so it's a kite

The distribution has the greatest spread is

The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.

In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread

This is distribution 3 with a standard deviation of 7.2

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Answer:

(11√3)/3

Step-by-step explanation:

In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.

Tan = opposite/adjacent

⇒ Tan 30° = x/11

⇒ 11 · Tan 30° = x

⇒ (11√3)/3 = x

Answer:

(a) Reason: angle in a semi circle is 90°

(b) PR = 19.2 cm

Step-by-step explanation:

(a) From the diagram.

∠PQR is 90° because point P,Q and R forms a semi circle, and angle in a semi circle is equal to 90°

(b) Applying

Pythagoras theorem,

a² = b²+c²................. Equation 1

From the diagram,

Where a = PR, b = RQ, c = QP.

Given: RQ = 9 cm, QP = 17 cm

Substitute these values into equation 1

(PR)² = 9²+17²

(PR)² = 81+289

(PR)² = 370

PR = √370

PR = 19.2 cm

The area of the semi-circle with the radius of 4.1 mm, round to the nearest tenth is 52.8 mm²

The area of the semi-circle will be calculated by the formula -

Area = 1/2πr², where r is the radius of the circle.

Keep the values in formula to find the value.of area of semi circle

Area = 1/2×3.14×4.1²

Performing multiplication on Right Hand Side of the equation to find the area of the semi-circle

Area = 52.78 mm²

Round off the nearest tenth

Area = 52.8 mm²

Thus, the area of semi-circle with mentioned radius is 52.8 mm².

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Answer:

[tex] \tan(180 \degree + 30\degree) - 2 \tan(180\degree - 30\degree) \\ = \frac{ \sin(210\degree) }{ \cos(210\degree) } - 2 \frac{ \sin(150\degree) }{ \cos(150\degree) } \\ = \frac{ - 0.5}{ - \frac{ \sqrt{3} }{2} } - 2 \frac{0.5}{ - \frac{ \sqrt{3} }{2} } \\ = \frac{0.5 + 1}{ \frac{ \sqrt{3} }{2} } \\ = 0.693 \\ = ln(2) [/tex]

The probability that Mr. Espinoza will select the middle toll booth on Monday and Tuesday is 8%.

Probability refers to the odds of Mr. Espinoza selecting the middle toll booth on Monday and Tuesday when he could have selected toll booths 1, 2, 4, or 5.

The chances of selecting one out of five toll booths = 1/5 or 0.2

The likelihood of Monday and Tuesday out of the five working days = 2/5 or 0.4

The probability of selecting the middle toll booth on Monday and Tuesday = 1/5 x 2/5

= 0.2 x 0.4

= 0.08

= 8%

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Answer:

perimeter = 10

area = 6.25

Step-by-step explanation:

Every square has four equal sides. If we know one side is 2.5, then all sides are 2.5.

2.5*4 = 10

To find the area of a square you multiply the height and length. Since all sides of a square are the same, you just multiply 2.5 with itself.

2.5*2.5=6.25

Answer:

the equation of line parallel to y=-3x+2

is y=-3x+k---(1)

Since,line(1) passes through point (4,3).

3=-3(4)+k

or,3=-12+k

or,k=3+12

:.k=15

Putting value of k in line (1), we get

y=-3x+15,which is the required eqn.

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The inequality is x ≤ 35, where x represents the amount of gas in gallons.

This question means by the statement that we have been given that the number of gallons cannot exceed 35 so it actually means that they are either 35 or less than 35. so will use < = sign to come up with this equation.

You can have up to 35 gallons of gas at a time at the gas station. The inequality x ≤ 35 represents the fact that x (the amount of gas in gallons) is less than or equal to 35.

This means that the equation will be x≤35

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Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

The halting problem is one of the most popular unsolved issues. It poses the following inquiry:

Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over

 The halting problem can be demonstrated to be indecidable and so unsolvable.

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

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Answer:

50.24 in.

Step-by-step explanation:

Step 1: Define/explain/formula.

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

Definitions:

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve.

The radius of this circle is 4.

Now, we simply plug the numbers into the formula.

[tex]\pi4^2(3.14*4*4)=50.24[/tex]

Step 3: Conclude.

Therefore, the area of this circle is 50.24 in.

Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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At this rate, the ratio or proportion of red balloons to the total balloons, the number of red balloons out of 48 is 6.

Proportion describes the two or more ratios equated to each other.

Proportions are depicted as fractional values in decimals, fractions, or percentages.

In this situation, we equate the ratio or proportion of red balloons to the sample to determine the number that will likely be red.

The total number of balloons thrown in a water balloon fight = 6,960

The number of the balloons that are red = 870

The proportion of the red balloons to the total = 0.125 or 12.5% (870/6,960)

In a sample of 48 balloons, the number of red balloons will be 6 (48 x 0.125)

Thus, out of 48 balloons, there are 6 red balloons at this constant rate.

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Answer:

1/4×322.54

=80.635

round off

it's 80.64

Answer:

y =x+3

y =-x²+[?]

Find the gradient;

What is the formula for the gradient of a graph?

Finding the gradient of a straight-line graph

X2 = 2

Y2 = 7

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

OR

X2 = -6

Y2 = 1

ΔX = -4

ΔY = -3

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

The probability is 0.3845.The probability of anything occurring is known as probability.

Explanation:

2/52 * 10/52  = 20/52 = 0.3845.

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