For questions 18-20 determine if line segment AB and line segment CD are parallel, perpendicular or neither

Answer:

[tex]\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^2}[/tex]

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rl[/tex]

r - radius

l - slant height

The formula of a surface area of a cone:

[tex]S.A.=\pi r^2+\pi rl[/tex]

We have r= 8in and l = 21in. Substitute:

[tex]L.A.=\pi(8)(21)=168\pi\ in^2[/tex]

[tex]S.A.=\pi(8^2)+168\pi=232\pi\ in^2[/tex]

Answer:

3131x+1

Step-by-step explanation:

Make equation simple

5x times 5x times 5x times 5x times 5x +x+1

Solve

5 times 5 times 5 times 5 times 5 = 3125

x times x times x times x times x times x = 5x

3125+5x=3130x

Now you might be thinking you cant add x but here your can because it is just broken apart

now add x+1

3131x+1

I think the answer might be 2

because

in the data given above all the numbers are between 12-19 they are all bigger than 10

and then there's 2 which is very far from 12 or any other numbers there and it is also less than 10

which makes more sense for it to be an outlier.

Hope this helps

Answer:

D- (3, 1).

Step-by-step explanation: Add the first equation so you can figure out what x equals. Then, plug the value into your next equation in order to find y. Hope this helps. :)

For this case we have the following system of equations:

[tex]2x + 4y = 10\\3x-4y = 5[/tex]

We solve by the method of elimination, then:

We add both equations:

[tex]2x + 3x = 10 + 5\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]

We find the value of y:

[tex]3 (3) -4y = 5\\9-4y = 5\\9-5 = 4y\\4 = 4y\\y = \frac {4} {4}\\y = 1[/tex]

Answer:

(3,1)

Option D

Solution:

Given :

So, We have to find the Base of Triangle .

Area of triangle = 1/2*b×h, Where represents

Step : Substitute those value in Formula;

Area of triangle = 1/2 × b × h

10 = 1/2 × b × 11

20 = 11 × b

b = 20/11

b = 1.81 ft

Therefore, Base of Triangle is 1.81 ft

Final answer:

To find the base of a triangle with an area of 10 sq ft and a height of 10 ft, use the formula 1/2 × base × height. By rearranging the formula and substituting the known values, the base is calculated to be 2 feet.

Explanation:

The question is asking to find the length of the base of a triangle when the area is 10 square feet and the height is 10 feet. The formula for the area of a triangle is 1/2 × base × height. In this case, we know the area (10 sq ft) and the height (10 ft), and we need to solve for the base.

Inserting the known values into the formula gives us:

Area = 1/2 × base × height
10 = 1/2 × base × 10

To solve for the base, we rearrange the formula:

base = 2 × Area / height
base = 2 × 10 / 10
base = 2 feet

Therefore, the length of the base of the triangle is 2 feet.

A^2 + b^2 = c^2

C is your hypotenuse or the longest side of the triangle; you plug in your values and solve for the missing side:

15^2 + b^2 = 17^2

225 + b^2 = 289

*-225 on both sides to get b by itself*

B^2 = 64

*to get rid of the ^2; you take the square root*

B = sqrt 64

B= 8 <— final answer

We can use the Pythagorean Theorem to solve for the missing side length (a).

Pythagorean Theorem:

a² + b² = c²

a and b are the legs (shorter sides) of the triangle and c is the hypotenuse (the longer side of the triangle).

1. Substitute in the known values.

a = ?

b = 15

c = 17

a² + 15² = 17²

2. Solve for a.

a² + 15² = 17²

a² + 225 = 289

a² + 225 - 225 = 289 - 225

a² = 64

√a² = √64

a = 8

Hope this helps!

The sin of 120 is the square root of 3 over 2.

The cos of 120 is -1/2

The tan of 120 is negative square root of 3

Answer:

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

Step-by-step explanation:

We have the following limit

[tex]\lim_{x \to 0}\ x^2 -2[/tex]

To solve this limit using direct substitution to substitute the value that tends x into f(x) and simplify.

In this case x tends to zero, then we substitute x = 0 in the function and simplify

[tex]\lim_{x \to 0}\ x^2 -2= (0)^2 -2= -2[/tex]

Therefore

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

When x approaches 0 then f(x) it tends to -2

Answer:  1. A- (0.1 0.2 0.3)

2.a-(3,4,5)

3.A-(-2,-1,0,+1)

4.a-(0123)

5.a-( 1/4 1/2 3/4

Step-by-step explanation:

I'm sorry you had to wait a whole year to get your answer :)

The exercise involves matching the terms decimal fractions, whole numbers, integers, natural numbers, and rational numbers to their respective sets of numbers. The correct matches are: decimal fractions {0.1, 0.2, 0.3}, whole numbers {0,1,2,3}, integers {-2, -1, 0, +1}, natural numbers {3,4,5}, and rational numbers {1/4,1/2, 3/4}.

The goal here is to

match

the given

description

or term to the given sets of numbers according to their properties. Let's start.

So, we have successfully made a

matching

for each description.

https://brainly.com/question/36757679

#SPJ2

A construction of the line plot for the length, in inches, of several nails is shown in the image attached below.

In Mathematics and Statistics, a line plot is a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would make use of an online graphing calculator (tool) to graphically represent the given length (in yards) of several nails on a line plot as shown in the image attached below;

Length        Frequency

1/2                     2

5/16                   4

1/8                     2

3/8                     1

3/16                    1

In conclusion, we can reasonably infer and logically deduce that the mode of the data set is equal to 5/16 because it has the highest frequency of 4.

Complete Question;

This table shows the length, in inches, of several nails.

Length (in) 1/2, 5/16, 1/8, 1/2, 3/8, 5/16, 5/16, 3/16, 5/16, 1/8.

Create a line plot to display this data. To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.

Answer:

Option B is the correct answer.

Step-by-step explanation:

Answer:

1.5 dollars/miles

Step-by-step explanation:

Given function [tex]y=3.75 + 1.5(x-1)[/tex] can be used to determine cost in dollars for a taxi ride of x miles.

Now we need to find about what is the rate of change of the cost in dollars with respect to the number of miles.

First we need to rewrite [tex]y=3.75 + 1.5(x-1)[/tex] in y=mx+b form

[tex]y=3.75 + 1.5(x-1)[/tex]

[tex]y=3.75 + 1.5x-1.5[/tex]

[tex]y=2.25 + 1.5x[/tex]

[tex]y=1.5x + 2.25[/tex]

comparing with y=mx+b, we get m=1.5

Hence rate of change of the cost in dollars with respect to the number of miles is 1.5.

Answer:

(1,-4) the vertex will always be the lowest point

Step-by-step explanation:

lowest point my dude

Answer: (1,-4)

Step-by-step explanation: The vertex is either the highest point or the lowest point on the parabola depending on whether the parabola opens upward or downward.

In this case, since the parabola opens upward, we can see that

the vertex is the lowest point on the parabola which is (1,-4).

Answer:

THE ANSWER IS 7

Step-by-step explanation:

CAUSE UR MOM IS A TRASHIE                 i'm sorry i meant YO MAMA

Final answer:

Kate can make 4 small flags from 2/3 yards of fabric since each flag requires 1/6 yards of fabric.

Explanation:

Kate has 2/3 yards of fabric and each small flag requires 1/6 yards of fabric. To find out how many flags Kate can make, you divide the total amount of fabric by the amount needed for one flag:

2/3 yards \/ 1/6 yards = 4 flags.

Here's the step-by-step calculation:

First, recall that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of 1/6 is 6/1.

So, multiply 2/3 by the reciprocal of 1/6:

2/3 × 6/1 = 12/3 = 4.

Thus, Kate can make 4 small flags from the fabric she has.

Answer:

Absolute error = 39

Percent Error = 6.10%

Step-by-step explanation:

Actual value = 639 pounds

Observed Value = 600 pounds

The formula to find absolute error is:

Absolute Error = Actual value - Observed Value

                        = 639 - 600

                        = 39

The formula to find Percent error is:

Percent Error = (Actual value - Observed Value / Actual value)*100

                       = (639 - 600/639)*100

                       = 6.10%

Answer:

Absolute error = 39 pounds

Percent error = 6.10%

Step-by-step explanation:

We know that the estimated weight was 600 pounds while the actual weight of the beam was 639 pounds.

So we will find their difference to get the absolute error.

Absolute error = 639 - 600 = 39 pounds

We will use the following formula to find the percent error.

Percent error = (Estimated value - actual value / actual value) * 100

Percent error = 639 - 600 / 600 * 100 = 6.10%

100 - 70% = 30

0.30 × p (p=45)

0.30 × 45 = 13.5

the sale price is $13.50

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb -  cosasinb

Adding we get  sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

Answer:

sina

Step-by-step explanation:

We have

          sin(a+b) = sina cosb + cosa sinb ---------------------eqn 1

           sin(a-b) = sina cosb - cosa sinb ---------------------eqn 2

eqn 1 + eqn 2

          sin(a+b) + sin(a-b) = sina cosb + cosa sinb + sina cosb - cosa sinb

          sin(a+b) + sin(a-b) = 2sina cosb

          [tex]sina\times cosb =\frac{1}{2}(sin(a+b) + sin(a-b))[/tex]

So answer is sina

Answer:

i need to see the figure

Step-by-step explanation:

Answer:

i cant get the figure to go thru

Step-by-step explanation:

Answer:

top question is not correct

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Just divide by pi, so it would be about 39.999(Pi)

Answer:

4.4 inches

Step-by-step explanation:

To work out the length of each side of the cube you would need to cube root of the volume as seen below:

[tex] \sqrt[3]{85.184} [/tex]

And this gives the answer 4.4 inches.

Answer:

Volume = Length * Width * Height

A cube has equal length, width, and height values.

[tex]\sqrt[3]{85.184}[/tex] is 4.4

So the length of each side is 4.4 units

the answer for this question is the dilation is reduction

The statement which is true about these rectangles is:

          The dilation is an enlargement.

Dilation Transformation--

Here we see that each of the sides of the original figure is multiplied by "1.5" to obtain a larger rectangle.

This means that the dilation is a enlargement.

( since the scalar is strictly greater than one )

Answer:

860.55 mm²

Step-by-step explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

Answer:

84 m^2

Step-by-step explanation:

We can break the polygon into a rectangle and a triangle

The rectangle at the bottom is 12 by 4

A = 12*4 = 48

The triangle at the top has a base of 12 and a height of (10-4) = 6

A = 1/2 (12) *6 = 36

The total is the sum of the two areas

A = 48+36 =84 m^2

This would be linear growth because the y values are increasing, but not at an exponential rate.

Answer:

[tex]\large\boxed{1.\ 38\ and\ 22}\\\boxed{1'.\ 42\ and\ 30}[/tex]

Step-by-step explanation:

[tex]1.\\x,\ y-the\ numbers\ (x>y)\\\\\text{We have the system of equations:}\\\\\underline{\left\{\begin{array}{ccc}x-y=16\\x+y=60\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=76\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=38}\\\\\text{Put the value of x to the second equation.}\\\\38+y=60\qquad\text{subtract 38 from both sides}\\\boxed{y=22}[/tex]

[tex]1'.\\x-larger\ part\\x-12-smaller\ page\\\\x+(x-12)=72\\x+x-12=72\qquad\text{add 12 to both sides}\\2x=84\qquad\text{divide both sides by 2}\\\boxed{x=42}\\\boxed{x-12=30}[/tex]

1. If AB is tangent to the circle, then

[tex]18^2=(2\cdot7.2)^2+10.8^2[/tex]

We have

[tex]18^2=324[/tex]

[tex](2\cdot7.2)^2+10.8^2=324[/tex]

so AB is indeed tangent to the circle.

2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,

[tex](10+8)^2=8^2+15^2[/tex]

but we have

[tex](10+8)^2=324[/tex]

[tex]8^2+15^2=289[/tex]

so that cannot be a right triangle and AB is not tangent to the circle.

Answer:

A

Step-by-step explanation:

Given a function f(x) = x^2, we can say:

The negative sign in front says that G(x) is flipped over the x-axis with respect to F(x). Also, the 2 in front tells us that it is a vertical stretch of the function F(x), since a > 1.

Hence, answer choice A is right.

Answer:

it is answer A

Step-by-step explanation:

Ap*x

Simplifying the expression requires expanding the brackets, combining like terms, and applying algebraic rules including distribution. The resulting simplified form is – 35x2 + 8x – 8 after properly eliminating unnecessary terms and ensuring the solution is valid.

To simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2, we need to apply standard algebraic techniques such as distribution, combining like terms, and simplifying polynomial expressions.

Firstly, distribute the 3x across the parentheses: 3x×(x – 12x) becomes 3x2 – 36x2.

Then, expand the square: – 2(x – 2)2 becomes – 2(x2 – 4x + 4).

Next, we can simplify the expression by combining like terms and further distributing where necessary:

Combine like terms:

Eliminate terms wherever possible and check to see if the simplified expression is reasonable. We are using multiplication, distribution, and combination of like terms to simplify the algebraic expression.

Answer:

Step-by-step explanation:

the formula is:

[tex]a_n = \frac{n+1}{n+2}[/tex]

[tex]a_100 = \frac{101}{103}[\tex]

Answer:

see explanation

Step-by-step explanation:

We note that for each term, the numerator increases by 1 and the denominator increases by 1 from the previous term, that is

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

term 2 = [tex]\frac{2+1}{2+2}[/tex] = [tex]\frac{3}{4}[/tex]

term 3 = [tex]\frac{3+1}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]

-----------------------------------------------------------------------------

term 100 = [tex]\frac{100+1}{100+2}[/tex] = [tex]\frac{101}{102}[/tex]

If we let n be the term value, then the n th term is

[tex]a_{n}[/tex] = [tex]\frac{n+1}{n+2}[/tex]