The radius of a circle is 2 inches. What is the area of a sector bounded by a 90° arc?

Minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

A mathematical model is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

Two companies (first and second) offers river tubing trips and the rates of them are as follows: The first company charges $7.50 rental fee for one tube, with a charge of $3.00 an hour.

For the x hours, the charge of the company is,

7.50+3.00x

The second company charges $10.50 rental fee for one tube with a charge of $2.00 an hour. For the x hours, the charge of the company is,

10.50+2.00x

Let x is the hour at which the cost of both companies are equal. Thus,

7.50+3.00x=10.50+2.00x

3x-2x=10.5-7.5

x=2.5

Thus, the minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

Learn more about the mathematical model here;

https://brainly.com/question/4960142

#SPJ1

Step-by-step explanation:

or, x°+(2x+17)°(2x+5)°=180°

or, x°+2x°+17°+2x°+5°=180°

or, 5x°+22°=180°

or, 5x°=180°-22°

or, 5x°=158°

or, x°=158/5

or, x°=31.6

now,

(2x+17)°=2*31.6+17=80.2°

(2x+5)°=2*31.6+5=68.2°

Answer:

0.71 m²

Step-by-step explanation:

base = b = 0.75 m

altitude= h = 1.9 m

   [tex]\boxed{\text{\bf Area of triangle = $\dfrac{1}{2}b*h$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*0.75*1.9\\\\ =0.7125\\\\ = 0.71 \ m^2[/tex]

The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.

This is a type of quadrilateral that has four sides of which they are all equal.

Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).

We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.

Therefore, The slope of KM is 1 and the slope of NL is –1.

Read more about rhombus here:

https://brainly.com/question/13984549

#SPJ4

Answer: D.

Step-by-step explanation: On Edge!!

Answer:

94.5yd³

Step-by-step explanation:

volume = length × width × height

length = 7 yd , width = 4.5 yd and height = 3 yd

so volume = 7 × 4.5 × 3 = 94.5yd³

Unit rate

Answer:

1½ miles/day .

Step-by-step explanation:

To find:-

Answer:-

It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )

[tex]:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\[/tex]

Convert the mixed fraction into improper fraction.

[tex]:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\[/tex]

For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,

[tex]:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\[/tex]

[tex]:\implies \sf r = \dfrac{3}{2} \ miles/day \\[/tex]

[tex]:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\[/tex]

Hence the unit rate of constructing the road is 1½ miles/day .

Answer:

the answer to this question is 5½

Step-by-step explanation:

=7¹⁵x 15-7¹⁴x 95/7¹⁶+7¹⁵x3

=1425×7²⁹/7¹⁶+7¹⁵×3

The volume of the given shape will be equal to V=2827.42 cubic inches.

The volume is defined as the space occupied by the object in the three-dimensional plane. It requires three coordinates to find the volume of any object.

Here it is given in the question that:-

Radius of the semicircle=12 inches

Height of the cylinder =13 inches.

Now the volume will be calculated as:-

Total volume of the figure will be the sum of the Volume of the semicircle and the Volume of the cylinder.

= 2πr³+πr²l

= 2xπx(6)³+πx(6)²x13

=1357.16+1470.26

=2827.42  Cubic inches                      

Hence the volume of the given shape will be equal to V=2827.42 cubic inches.

To know more about Volume follow

https://brainly.com/question/1972490

#SPJ1

Answer: Systematic sampling is a type of probability sampling method where sample members from a larger population are selected based on a random starting point but with a fixed, periodic gap.

Step-by-step explanation:

Answer:

The answer is: 4(8a+7) I think...

Have a nice day

Answer:

(0,1) (1,-1)

Second graph on top row is your answer.

Step-by-step explanation:

Answer:

No, it is not

Step-by-step explanation:

If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.

Answer:

The expression is not factorable with rational numbers.

Except if you made a typo in your equation and it's x^2-4x-12

calculation:

-6x2=12

-6+2=-4

Then the answer will be (x+2)(x-6)

If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

Annual premium can be defined as the premium amount a person pay per year, yearly or annually.

Based on the scenario the whole life is an example of long term insurance.

Reason been that  annual  premium are often used  for long term insurance in which the policy holder is expected to stop paying the premium when he/she reach a certain age that is stated on the policy terms and condition.

Therefore If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

Learn more about annual premium here: https://brainly.com/question/25280754

#SPJ1

Answer:

618.25-annual     309.13-semiannual

Step-by-step explanation:

oddesy

Answer:

 Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Step-by-step explanation:

Answer:

The garden dimension are 9ft and 6ft

Step-by-step explanation:

As promised, Ive attached my work

There also could be the sizes of

3ft by 18ft

2ft by 27ft

1ft by 54ft

Using sampling concepts, it is found that the sample would not support a valid inference, as both alphabetized and non-alphabetized students should be sampled.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The school has both alphabetized and non-alphabetized students, and both groups should be sampled for a valid inference to be made. Since only alphabetized students are sampled, the sample would not support a valid inference.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

Answer:

The image isn't quite clear

Answer:

{X€ IR : x>2}

Or

[tex]x \in \: )2 \: + \infty ([/tex]

Ans: 2/3

Step-by-step explanation:

Formula : [tex]m = \frac{y2 - y1}{x2- x1}[/tex]  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

Answer: False

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]

Answer:

false

Step-by-step explanation:

a2 + b2 = c2

The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²

Area of a trapezoid = 1/2(a + b)h.

Given the following:

Area of triangle ACD = 1/2(AD)(CK) = 30 units²

1/2(10)(CK) = 30 units²

5(CK) = 30

CK = 6 units (altitude of trapezoid ABCD)

Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6

Area of the trapezoid = 54 units²

Learn more about the area of a trapezoid on:

https://brainly.com/question/1463152

#SPJ1

Answer:

C

Step-by-step explanation:

Because xyx-x=483=s739

x,y=rx,ry

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

l=12 cm; b=6 cm. What is the area?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\sf{Formula\:for\:Area:-}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

i believe its seven combinations

Step-by-step explanation:

Answer:

$2.16

Step-by-step explanation:

if the store sells 9 cm for $0.72

they are selling 27 cm now which is 3 times the amount of 9

so if 27 is 3 x the amount of cm than we need to triple to amount of the cost to.

and 0.72 x 3 is 2.16.

Please Vote Me Brainliest. Thank You.

An exponent is the number of times something is multiplied by itself

Answer: (1/5)^2 * x^3

Answer:

I got the mean of A is 6 and the mean of b is 3.5

Step-by-step explanation:

If correct i dont mind brainlest