What is the volume of a rectangular prism with the dimensions: L = 1 in, W = 3/4 in, and H = 1/2in. V = LWH.

Answer:

77.04

Step-by-step explanation:

Second option is correct. A cone with open base is formed when the segment is rotated about the axis as shown in figure.

A solid revolution is a three dimensional figure obtained by rotating a two-dimensional figure or (curve) around a straight line(called the axis) that lies in the same plane.

According to the question

If we see in the given figure, there is a triangle about a vertical line. As the triangle is revolved about a line, the vertices A and C remain stationary. While the vertex B  which follows the path of circle. As the triangle rotates, AB creates the outline of cone.

Hence, Option second is correct i.e. a cone with an open base.

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Answer: A cone with an open base.

Step-by-step explanation:

      The correct answer is a cone with an open base. When this segment is rotated around the axis as shown, the three-dimensional object formed will be a cone with no base. If you imagine mirroring the segment shown, you will create a triangle with no base. Next, if you imagine spinning this triangle around, you will be left with a cone. Since the segment does not connect to the axis at the bottom, the resulting cone will have an open base.

      A visual example of a cone is attached below.

A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.

For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."

Final answer:

The area of a rectangle floor that is 24 feet long and 9 feet wide is 216 square feet, which is equivalent to 24 square yards when converted using the fact that there are 9 square feet in a square yard.

Explanation:

The student is asking about the area of a rectangle when the dimensions are given in feet and the answer is required in square yards. To convert the area from square feet to square yards, we need to know the conversion factor between these two units of measurement.

It's established that 1 square yard is equal to 9 square feet. Thus, the area of the floor in square feet is calculated by multiplying the length by the width:

Area in square feet = Length in feet × Width in feet
= 24 ft × 9 ft

= 216 square feet

Next, we convert the area into square yards by dividing by 9:

Area in square yards = Area in square feet ÷ Conversion factor

= 216 sq ft ÷ 9 (sq ft/sq yd)

= 24 square yards

Therefore, the area of the floor in square yards is 24 square yards.

Answer:

It's B on edge.

Step-by-step explanation:

9514 1404 393

Answer:

  a form with no horizontal translation of the parent function

Step-by-step explanation:

If the vertex is the y-intercept, then it has not moved horizontally from its position in the parent function. The form of the quadratic is one without any horizontal translation.

A quadratic function with its vertex and y-intercept at the same point would be in the form f(x) = ax². The coefficients b and c must be zero for the vertex to be at the origin (0,0), and by varying a, we can achieve a vertical stretch or shrink without altering the y-intercept.

The student's question pertains to the graph of a quadratic function with specific conditions on its vertex. If a quadratic function has its vertex at the same point as its y-intercept, then the vertex is located at the origin (0,0), because the y-intercept is the point where the graph crosses the y-axis, and at the vertex, the value of y is at its maximum or minimum depending on the direction of the parabola.

The standard form of a quadratic function is f(x) = ax² + bx + c. For the function to have its vertex at the origin, both b and c would need to be zero, making the function f(x) = ax². This represents a parabola that opens upwards if a is positive, or downwards if a is negative.

To maintain the y-intercept, we must ensure that the transformation applied to the graph, such as a vertical or horizontal shrink, does not alter the location of the vertex. A horizontal shrink is achieved by making a larger absolute value while ensuring that it remains positive or negative in accordance with the original direction of the parabola.

She had 2/3 quart. She used 1/4 of it.

That means you have to find 1/4 of 2/3

1/4 × 2/3 = 2/12

2/12 simplified = 1/6

Your answer is 1/6

Hope this helped!

ANSWER

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

EXPLANATION

We use the Pythagorean Identity,

[tex] { \sec}^{2} (e) = 1 + { \tan}^{2} (e)[/tex]

It was given that,

[tex] { \tan}^{2} (e) = \frac{3}{8} [/tex]

We substitute the values into the identity to obtain,

[tex] { \sec}^{2} (e) = 1 + \frac{3}{8} [/tex]

[tex]{ \sec}^{2} (e) = \frac{11}{8} [/tex]

We take square root of both sides to get,

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

Answer:

sec e = √(11/8) ⇒ answer B

Step-by-step explanation:

* Lets revise some identities in trigonometry

# sin²x + cos²x = 1

- Divide both sides by cos²x

∴ sin²x/cos²x + cos²x/cos²x = 1/cos²x

∵ sinx/cosx = tanx

∴ sin²x/cos²x = tan²x

∵ cos²x/cos²x = 1

∵ 1/cosx = secx

∴ 1/cos²x = sec²x

* Now lets write the new identity

# tan²x + 1 = sec²x

- Let x = e

∴ tan²e + 1 = sec²e

- Substitute the value of tan²e in the identity

∵ tan²e = 3/8

∴ 3/8 + 1 = sec²e

- Change the 1 to the fraction 8/8

∴ 3/8 + 8/8 = sec²e ⇒ add the fractions

∴ 11/8 = sec²e

- Take square root for the two sides to find sec e

∴ sec e = √(11/8)

∴ The answer is B

Answer:

V=2/25T+22

Step-by-step explanation:

Answer: Second option y=log(2x)+3

Solution:

Based on the family of graphs shown in the attached file, the equation could represent the graph is y=log(2x)+3

This graph is the graph of the funtion y=log(x) stretched horizontally by a factor of 2 and translated 3 units upward.

Answer:

Option a. [52.78,64.22]

Step-by-step explanation:

We are given that a random sample of size 18 is drawn from a population that is normally distributed.

Sample mean is 58.5, and the sample standard deviation is found to be 11.5 i.e., X bar = 58.5  and  s = 11.5

The pivotal quantity for calculating 95% confidence interval is;

               [tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]

So, 95% confidence interval about population mean is given by;

P(-2.110 < [tex]t_1_7[/tex] < 2.110) = 0.95

P(-2.110 < [tex]\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.110) = 0.95

P(-2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]{Xbar - \mu}[/tex] < 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95

P(X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] < [tex]\mu[/tex] < X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ) = 0.95

95% confidence interval about [tex]\mu[/tex] = [ X bar - 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] , X bar + 2.110 * [tex]\frac{s}{\sqrt{n} }[/tex] ]

                                                   = [ 58.5 - 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] , 58.5 + 2.110 * [tex]\frac{11.5}{\sqrt{18} }[/tex] ]

                                                   = [ 52.78 , 64.22 ]

Therefore, 95% confidence interval about population mean is [52.78 , 64.22].

Answer:

10pi

Step-by-step explanation:

The answer is 10pi

the answer is A. 110.5

The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have a rhombus shown in the picture with dimensions:

As we know,

The area of the rhombus is given by:

A =pq/2

p and q are the lengths of the diagonal of a rhombus.

p = MK = 13 units

q = JL = 17 units

Plug the values in the formula:

A = (13×17)/2

A = 221/2

A = 110.5 square units

Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

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The length of one rope = 9 in

Number of ropes Jared have = 2.

The total inches of rope does Jared have will be calculated as under -

We can add the length of two ropes as = 9 in + 9 in = 18 in

Or we can do it by other method as well.

The other method is by multiplying -

The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have

The total inches of rope does Jared have = 9 in × 2 ropes = 18 in