What is the volume of this object?

A)
24 mm3


B)
36 mm3


C)
48 mm3


D)
60 mm3

Answer:

The answer is

D (2 1/2)/(1/4)

And 10

Oranges are needed to make 2 1/2 cups of juice

Step-by-step explanation:

From the given expression

We can solve the problem

If we state it out Mathematically

Step one

1 orange will give 1/4 cup of juice

x orange will give 2 1/2 cups of juice

Step two

By cross multiplication we have

x=( 2 1/2)/(1/4)

Let's convert the mixed fraction

2 1/2

to proper fraction we have 5/2

x=( 5/2)/(1/4)

x=5/2*4/1

x=20/2

x=10

Final answer:

The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.

Explanation:

The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.

This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.

For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).

The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.

The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Both Judy and Edith are correct. They each ate one-sixth of the lemon pie.

Judy and Edith are discussing how much of the lemon pie they each ate. Judy claims that they each ate one-sixth of the pie, while Edith says they ate two-sixths. To determine who is correct, let's break it down:

Therefore, both Judy and Edith are correct. They each ate one-sixth of the lemon pie.

The geometric figures that intersect to form a cross-section are:

For a cross-section to be formed, then the intersected figures must be a plane and a three-dimensional object.

From the list of given options, option (1) through (3) cannot be true;

This is so because: lines and points are not three-dimensional or planes

However, in options (4) and (5);

Vertical planes, horizontal planes and prism are planes or three-dimensional object.

Hence, the true options are (4) and (5)

Read more about three-dimensional objects at:

https://brainly.com/question/11346802

The equation given is: A=25w

This equation gives the area A (in square feet) of a rectangular dance floor with a width of w feet.

As we can clearly see, the area of the rectangular dance floor is dependent on the value of the width,w. As we increase the width, w, the area, A increases and as we decrease, w, A too decreases.

Therefore, the independent variable is "w" and the dependent variable is "A".

A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The length of the minute hand is 200% of the length of the hour hand.

In 1 hour, the tip of the minute hand move then the tip of the hour hand will be

You may put this to the test with numbers. If you have a clock with a 2-inch hour hand, it will travel 3.14 x 4 inches (12.56 in).

A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

This is the picture. Can you tell me the answer?

The probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given example,

When a die is rolled 3 times,

Total number of outcomes are,

[tex]\Rightarrow n(S) = 6^2\\\\ \Rightarrow n(S)= 36[/tex]

The probability of getting a 4 when a die is rolled is  [tex]\frac{1}{6}[/tex]

[tex]\Rightarrow P(4)=\frac{1}{6}[/tex]

We want the probability of getting a 4 twice in a row.

So, the required probability is,

[tex]\Rightarrow P=P(4)\times P(4)\\\\\Rightarrow P=\frac{1}{6} \times \frac{1}{6}\\\\ \Rightarrow \bold{P=\frac{1}{36}}[/tex]

Therefore, the probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]

Learn more about probability here:

brainly.com/question/11234923

#SPJ3

Answer:

5

Step-by-step explanation:

The correct answer is [tex]\frac{5}{6}[/tex] inch.

To find the number of 1/3 inches that are in 5/6 inch, we need to convert both fractions to have a common denominator and then divide the numerators.

[tex]\text{Step 1: Find the LCM of 3 and 6}[/tex]

[tex]\text{LCM}(3, 6) = 6[/tex]

[tex]\text{Step 2: Convert the fractions to equivalent fractions with the denominator of 6}[/tex]

[tex]\frac{1}{3} = \frac{2}{6}[/tex]

[tex]\frac{5}{6} = \frac{5}{6}[/tex]

[tex]\text{Step 3: Divide the numerators of the equivalent fractions}[/tex]

[tex]\frac{5}{6} \div \frac{2}{6} = \frac{5}{2} = 2.5[/tex]

Therefore, there are [tex]2.5[/tex] one-third inches in [tex]\frac{5}{6}[/tex] inch.

Answer:

Option (C) is correct.

The solutions of the graph showing a system consisting of a linear equation and a quadratic equation   are (1,8) and (4,5).

Step-by-step explanation:

Given : The graph showing a system consisting of a linear equation and a quadratic equation.

We have to find the solution(s) to the system.

Since , the  solution(s) to the system are the points where the both linear equation and a quadratic equation intersect each other.

So from the graph given the linear equation intersect the quadratic equation at two points namely  (1,8) and (4,5).

Thus, the solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).

A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.

The First term is given, a = 120.

Common ratio (r) would be ratio of second term to first term i.e.

[tex] r=\frac{a_{2}}{a_{1}} = \frac{36}{120} = 0.3 [/tex]

The formula for n-th term of geometric sequence is given by as follows :-

[tex] a_{n} =a*r^{n-1} [/tex]

It says to find 5th term of this given geometric sequence. For 5th term, n = 5.

[tex] a_{5} =120*(0.3)^{5-1} \\\\
a_{5} =120*(0.3)^{4} \\\\
a_{5} =120*(0.0081) \\\\
a_{5} =0.972 [/tex]

Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.

Answer:

(04.02) The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Paint Color

Quarts of Red Paint Quarts of White Paint

4 20

5 25

7 35

8 40

Which statement is true about the ratio of red paint to white paint in the paint color?

It is 1:16.

It is 16:1.

It is 5:1.

It is 1:5. it is  this one

Step-by-step explanation:

The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

From the table,

The ratio of quarts of red paint to quarts of white paint is

4:20

= 1:5

5:25

= 1:5

7:35

= 1:5

8:40

= 1:5

The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ3

The inequality that can be used to find how many $2.50 fruit packs can be purchased for $15.00 is 2.50f ≤ 15, where f represents the number of fruit packs. Therefore, you can purchase up to 6 fruit packs with $15.00.

To find how many $2.50 fruit packs can be purchased for $15.00, we can use the inequality:

2.50f ≤ 15

where f represents the number of fruit packs.

To solve the inequality, we divide both sides by 2.50:

f ≤ 6

Therefore, you can purchase up to 6 fruit packs with $15.00.

https://brainly.com/question/40505701

#SPJ12

Graphing the system involves plotting points for both equations and identifying their intersections. The graph visually illustrates the simultaneous solutions to "y = 2x + 1" and "y = 2x^2 + 1.

Graphing the system of equations "y = 2x + 1" and "y = 2x^2 + 1" involves plotting points that satisfy both equations to identify their intersection. The first equation, "y = 2x + 1," represents a straight line with a slope of 2 and a y-intercept of 1. The second equation, "y = 2x^2 + 1," is a quadratic function, creating a parabolic curve.

To visualize their intersection, plot several points for each equation and observe where they coincide on the graph. For the linear equation, select x-values, calculate the corresponding y-values using the equation, and plot the points. For the quadratic equation, choose various x-values, calculate the corresponding y-values, and plot these points.

The intersection points on the graph represent solutions to both equations. Depending on the specific values chosen, the intersection may occur at one or more points.

The question probable may be:

Graph the following system of equations.

y=2x+1   y=2x^2+1  

The two equations intersect at points (0, 1) and (1, 3).

Analyzing the Equations:

Equation 1: y = 2x + 1 represents a linear equation. This means the graph will be a straight line. The slope of the line is 2, and the y-intercept is 1.

Equation 2: y = 2x² + 1 represents a parabolic equation. This means the graph will be a U-shaped curve. Since the coefficient of the x² term (2) is positive, the parabola will open upwards. The y-intercept is also 1.

Identifying the Intersections:

To find the points of intersection, we can set the two equations equal to each other and solve for x:

2x + 1 = 2x² + 1

0 = 2x² - 2x

0 = 2x(x - 1)

The solutions are x = 0 and x = 1. We can then plug these x-values back into either equation to find the corresponding y-values:

y = 2(0) + 1 = 1 (for x = 0)

y = 2(1)² + 1 = 3 (for x = 1)

Therefore, the two equations intersect at points (0, 1) and (1, 3).

Complete and correct question:

Which graph represents the system of equations?

y=2x+1

y=2x²+1

The graph is attached below:

Answer:

The correct answer is 32.97 m.

Step-by-step explanation:

Verified by correct test results.