Ahmad is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges an initial fee of $55 and an additional 50 cents for every mile driven.
Company B has no iniţial fee but charges 60 cents for every mile driven.

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

The vertices are A, B, C, D, E, F. The edges are AB, BC, CA, ED, DF, FE, BD, CF, and AE and the faces are DBCF, DEAB, EFCA, EDF, and ABC.

The three-dimensional shape's vertices are the points at which the edges converge. Edges are the lines where two faces converge, while faces are flat surfaces.

Vertices are the locations where the sides of a polyhedron constructed of line segments connect.

According to the definition given above, the vertices are A, B, C, D, E, and F.

Line segments from which the formation of a polyhedron takes place are known as edges.

Hence in the given figure, AB, BC, CA, ED, DF, FE, BD, CF, and AE are the edges.

Two-dimensional surfaces in a three-dimensional figure are known as faces.

In the given prism, DBCF, DEAB, EFCA, EDF, and ABC are the faces of the prism.

To know more about vertices, edges and faces, visit:

https://brainly.com/question/23347978

#SPJ1

Answer:

91.2 mg of coffee left in your system 2 hours from consumption

Step-by-step explanation:

120 x .12 = 14.4

14.4 x 2 = 28.8

120 - 28.8 = ...

91.2 mg

Answer:

\( \frac{1}{2} n(n - 1) = \frac{12}{2} = 6\)

(Apple, Banana), ( Apple, Orange), (Apple, Peach),

(Banana, Orange), (Banana, Peach),

(Orange, Peach)

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

For more such questions on number, click on:

https://brainly.com/question/24644930

#SPJ8

Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

Answer:

y = 2sin(x/2 - pi/4) + 1

Step-by-step explanation:

The normal sine has a range of [-1, 1]. This one has a range of [-1, 3], so the amplitude is 2 times higher (4 vs 2).

After that, 2sin(x) has a range of [-2, 2], but this one has a range of [-1, 3], so we need to shift it upwards by 1.

We now know that the answer is 2sin(____)+1.

A normal sine has it's middle point while rising at x = 0, but this one has it at x = pi/2 - so we need to shift a sine to the right by pi/2.

Lastly, a sine has a cycle of length 2pi, but this one has a cycle of length 4pi. We can achieve that by dividing the argument 2.

We now know that the answer is 2sin(x/2 - pi/4) + 1. We can plot it to verify.

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

Learn more about math problems here https://brainly.com/question/251701

#SPJ9

Answer:

Asymptote: y = 4

Domain: All positive real numbers x > 0

Range: 0 \(\leq \\\) y \(\leq \\\) 4

Zero: Root at zero

x-intercept: at zero

y-intercepts: none

f(1)= 2

f(9)= 3

Step-by-step explanation:

Answer:

slope = 9/5

Step-by-step explanation:

as the formula of slope is

slope.= y2-y1/x2-x1

as we know that in the question x1 = 3 , y1 = 5 and x2 = -2 , y2 = -4

put these values in the formula of slope then we get the slope which is equal to (9/5)

Answer:

1. ×2+10x2+25

=(×+5)(×+5)

2. 4x2+16+

=(2×+4)(2×+4)

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

Learn more about credit card:https://brainly.com/question/27350251

#SPJ1

Answer: Bottom right corner (southwest corner)

Explanation:

Plug in x = 0 to find that

\(f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\\)

This shows that the y intercept is (0,4).

Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.

The number of students that took all the three classes is 40

The number of students are in Group 2 is 51 students

(i) To find the number of students who have taken all three classes, we need to subtract the number of students who have taken only two classes from the number of students who have taken at least one class.

Let's call the number of students who have taken all three classes "x".

The number of students who have taken Calculus and Sociology is 15 + x.

The number of students who have taken Calculus and Spanish is 20 + x.

The number of students who have taken Sociology and Spanish is 13 + x.

Adding these three equations, we have:

15 + 78 + 72 = 15 + x + 78 + x + 72 + x

solving for x

165 = 45 + 3x

120 = 3x

isolating x

So, x = 40.

hence, 40 students have taken all three classes.

(ii) To find the number of students in Group 2, we need to add the number of students who have taken at least one class to the number of students who have taken none of the classes.

Let's call the number of students in Group 2 "y".

The number of students who have taken at least one class is

32 + 22 + 16 - 10 - 8 - 11 + 5 = 36.

Therefore, y = 36 + 15 = 51.

So, there are 51 students in Group 2.

Learn more about set at:

https://brainly.com/question/28365114

#SPJ1

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of y is -8.67

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-100 . \(2^{0.5y}\) = -5

We will find the value of y.

Multiply -5 on both sides.

20. \(2^{0.5y}\) = 1

Divide both sides by 20.

\(2^{0.5y}\) = 1/20

Log on both sides.

log  \(2^{0.5y}\) = log (1/20)

0.5y log 2 = log(1/20)

0.5y x 0.30 = log 1 - log 20

0.5y x 0.30 = 0 - 1.30

y = -1.30 / 0.15

y = -8.67

Thus,

The value of y is -8.67

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The number of pounds of 29% alloy and 51% alloy required to make the third alloy containing 50% aluminum is 45.82 pounds and 2.18 pounds respectively.

Let

x + y = 48

29x + 51y = 50*48

x + y = 48

29x + 51y = 2400

Solve simultaneously

From (1)

x = 48 - y

Substitute into (2)

29x + 51y = 2400

29(48 - y) + 51y = 2400

1392 - 29y + 51y = 2400

- 29y + 51y = 2400 - 1392

22y = 1008

y = 1008/22

y = 45.82 pounds

Substitute y = 45.82 pounds into (1)

x + y = 48

x + 45.82 = 48

x = 48 - 45.82

x = 2.18 pounds

So therefore, the number of pounds of 29% alloy and 51% alloy is 45.82 pounds and 2.18 pounds respectively.

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

Answer:

15200g

Step-by-step explanation:

Hope the Dog gets better XD

Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200

Answer:

I think the answer is D  

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

https://brainly.com/question/29989358

#SPJ8

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²

Answer:

y = 3x - 5

Step-by-step explanation:

lmk if you want an explanation

Answer:

3:1 and im wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x^2 = -12

x^2 = -4

x = ±√-4

this equation has no real solutions

Answer:

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

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

\(f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7\)

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

for such more question on area

https://brainly.com/question/15822332

#SPJ11

Answer:

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

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

The cost cooler alone without the tax is $7.5 if 6 percent is sales tax. A sales tax is a fee that is paid to the government when specified goods and services are sold.

A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the seller to charge the customer the tax at the time of purchase.

Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing body.

Cost of the cooler with tax = $7.95

Rate of sales tax =  6%

Cost of the cooler without tax =?

Let the cost of the cooler without tax be x

Sales tax applied = 6% of the cost of the cooler without tax

Sales tax applied = 6% of x

Sales tax applied = 6x / 100

According to the question, we know that cost of cooler with sales tax is $7.95.

Cost of the cooler with tax = Cost of the cooler without tax + Sales tax applied

$7.95 = x + 6x / 100

(100x + 6x)/100 = 7.95

106x = 7.95 * 100

x = 795/106

x = $7.5

Hence, the cost cooler alone without the tax is $7.5

To learn more about sales tax refer :

https://brainly.com/question/9437038

#SPJ1

Answer:

100 is the stinking answer

Step-by-step explanation: