Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your answer to the nearest hundredth. A. 157.89 cm^2 B. 306.95 cm^2 C. 346.16 cm^2 D. 347.45 cm^2

Answer:

3/4

Step-by-step explanation:

When you see "of" and there's a fraction involved, you can usually multiply them to find the answer. 1/4 * 3 = 3/4.

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanations

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

Look at the attached picture⤴

Hope it will help u...

Answer:

3.32ft

Step-by-step explanation:

The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.

Using Pythagoras Theorem:

Hypotenuse²=Adjacent²+Opposite²

6²=5²+x²

x²=36-25

x²=11

x=√11=3.32 ft.

The wires are attached 3.32 ft from the base of the pole on the ground

Answer:

The question can be answered by using a Pythagoras' Theorem :  [tex]c^2=a^2+b^2[/tex] to find the base of  the pole to which each wire is  attached to the ground.

Step-by-step explanation:

the base of the pole is represented by b.

the height of the pole is represented by a= 5 feet

the length of t he wire is represented by c=5 feet.

Thus, using the Phytagoras Theorem,

c^2=a^2+b^2,

[tex]6^2=5^2+b^2\\36=25+b^2,\\36-25=b^2\\Thus, b^2=11,\\b=\sqrt 11[/tex] or b=3.3.

Thus , each wire i attached by about 3.3 feet to the base of the pole.

Answer: D (He could poll all students in a 9th grade, 10th grade, 11th grade, and 12th grade English class.)

Explanation: It states that he needs a random sample from every grade level.

Answer:

B

Step-by-step explanation:

each time she sells 2 cards she gets $9 right?

so counting by 2's is the best route to go on and the only answer that displays that is answer B

Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments. The correct table is B.

Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments.

Given that Isabella sells 2 cards for $9. Therefore, the cost of 1 card will be,

[tex]\text{Cost of 1 card} = \dfrac{\$9}{2} =\$4.5[/tex]

Now, checking the options,

A.) The table is wrong because the cost of 11 cards will be $49.5, instead of 50.5.

B.) The table is correct because all the values are correct.

C.) The table is wrong because the cost of 27 cards will not be equal to $6.

D.) The table is wrong because the cost of 3 cards will not be equal to $10.

Hence, the correct table is B.

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To calculate the cost as a percentage of sponsorship revenue, divide the administrative cost by the sponsorship revenue and multiply by 100. The cost as a percentage of sponsorship revenue is 15.16%.

To calculate the cost as a percentage of sponsorship revenue, we need to divide the administrative cost by the sponsorship revenue and multiply by 100.

Step 1: Divide the administrative cost ($47,000) by the sponsorship revenue ($310,000).
$47,000 ÷ $310,000 = 0.1516

Step 2: Multiply the result by 100 to convert it to a percentage.
0.1516 x 100 = 15.16%

The cost as a percentage of sponsorship revenue is 15.16%.

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Answer:

d

Step-by-step explanation:

The correct answer is option C: 13 meters. Jacob and Sharon are approximately 13 meters apart.

To determine how far apart Jacob and Sharon are now, we first need to find their final positions and then calculate the distance between those points.

Step-by-Step Solution

→ Jacob's Movement:

He walked 3 meters north and then 4 meters west.

→ Final position of Jacob: (-4, 3).

Sharon's Movement:

→ She walked 5 meters south and then 12 meters east.

→ Final position of Sharon: (12, -5).

To find the distance between their final positions, we can use the Pythagorean theorem. The distance d between the points (-4, 3) and (12, -5) is calculated as follows:

→ d = √[(12 - (-4))² + (-5 - 3)²]

= √[(12 + 4)² + (-8)²]

= √[(16)² + (8)²]

= √[256 + 64]

= √320

= √(16 × 20)

= 4√20

= 4√(4 × 5)

= 8√5

≈ 13 meters

→ Thus, Jacob and Sharon are approximately 13 meters apart.

Answer:

What do I help with?

Step-by-step explanation:

IF you put a picture we cannot see it/ At least I cannot see it.

Answer: 2 boxes

Step-by-step explanation: first realize that 7 times 8 is 56 so the manager wants 56 rolls in stock and you only have 40

then subtract 56 - 40 = 16 and this means you need 16 rolls

remember that there is 8 rolls in a box and 16 divided by 8 is 2 so 2 boxes should be ordered

hope this helps mark me brainliest if it did

Answer:

it is 79.4 ft.

Step-by-step explanation:

u just have to round until it gets to one decimal

Answer:

n

Step-by-step explanation:

While you did not specify the equation, there are n roots for an equation of n power.

i.e. anything that x, power is 1, only one root

For [tex]x^{2}[/tex], there are two roots

For [tex]x^{n}[/tex], there are n roots

Answer:

Step-by-step explanation:

hello :

use equation for this circle  : the center is : O(0,0)

the radius is 13

let (∆) this tangent in A(5,12)  where an equation is : y-y1 = m(x-x1)

x1 = 5     and    y1 =12    calculate : m the slope of this tangent

but (∆)  tangent in A(5,12) for this circle : means the line (OA)⊥tangent(∆)

the slope of (OA)×m = -1

but the slope of (OA)= (12-0)/(5-0)=12/5

(12/5)×m =-1   so : m=-5/12

an equation for this tangent is  y-12 = (-5/12)(x-5)

Answer:

12y + 5x = 169

Step-by-step explanation:

Slope of the normal:

(12-0)/(5-0)

12/5

Slope of the tangent

-5/12

y - 12 = (-5/12)(x - 5)

12y - 144 = -5x + 25

12y + 5x = 169

Answer:

The differences are each squared.

Step-by-step explanation:

Thats the answer I just took the test and its a on edgenunity

Answer:

A

Step-by-step explanation:

Answer: Your answers are all correct.

Step-by-step explanation: Good Job :D

Answer:

the answer is 765.45

Step-by-step explanation:

if I ounce equals 28.35 grams

then 27 ounces equals to 28.35 ×27

=765.45

which is already in two decimal places

Jenny's future age would be expressed as ((x+4)/(2x+4))*100 percent of Benny's future age, where x is Jenny's current age.

To solve this problem, we first note that Benny is currently 200% of Jenny's age, meaning Benny's age is twice that of Jenny. So let's denote Jenny's current age as x - Benny's age will be 2x.

In 4 years, Jenny's age will be x+4 and Benny's age will be 2x+4. To calculate what percent of Benny's future age will Jenny's future age be, we have to divide Jenny's future age (x+4) by Benny's future age (2x+4) and then multiply by 100 to get the percentage. Therefore, Jenny's age will be ((x+4)/(2x+4))*100 percent of Benny's age.

Since we don't know their real ages, this is the most accurate answer we can provide, expressed as an algebraic equation. In real-life situation with the real ages known this equation would allow to find out what percent of Benny's age will Jenny’s age be in 4 years.

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If Jenny's age is x, Benny's age is 2x. In 4 years, Jenny's age will be x+4 and Benny's will be 2x+4. To calculate what percent of Benny's age Jenny's age will be, we can use this formula: ((x+4)/(2x+4)) × 100.

Let's start by expressing Benny's age in terms of Jenny's age. If Benny's age is currently 200% of Jenny's age, then mathematically, we can say:

Benny's age = 200% of Jenny's age

B = 2 × x

Now, let's assume Jenny's age is represented as J. So, Benny's age is 2 × x.

If we want to find out what percent of Benny's age Jenny's age will be in 4 years, let's calculate it step by step.

In 4 years, Benny's age will be:

Benny's age in 4 years = Benny's current age + 4

Benny's age in 4 years = 2 × x + 4

Jenny's age in 4 years will be:

Jenny's age in 4 years = Jenny's current age + 4

Jenny's age in 4 years = x + 4

Now, let's find out what percent of Benny's age Jenny's age in 4 years will be:

Percent = (Jenny's age in 4 years / Benny's age in 4 years) × 100

Percent = (x + 4) / (2 × x + 4) × 100

This calculation will give us the percentage of Jenny's age compared to Benny's age in 4 years.

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Answer:

EM = 73 m

Step-by-step explanation:

Using the right triangle MOE

with legs MO = 48. EO = 55 and hypotenuse EM

Applying Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )

EM = [tex]\sqrt{5329}[/tex] = 73

Answer:

[tex]638 in^{2}[/tex]

Answer:

1/2 base times height

Answer:

tangent line : UQ

secant line: line UR

chord: US

diameter: UW

2) OD= 4.8

3)x =7 SV=6

Step-by-step explanation:

tangent line :  A tangent to a circle is a straight line which touches the circle at only one point

secant:A secant is a line that intersects a circle in exactly two points

diameter: diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle

Step-by-step explanation:

Given

f(x) = (11)^x + 2

f(1) = 11^1 + 2

= 11 + 2

= 13

Answer:

The CORRECT answer to this question is a scatterplot.

You're welcome:)

A scatter plot is the best choice of data display for Timothy to find a relationship between the ages of students and their shoe sizes. It shows a possible relationship between two variables, unlike histograms, box plots, and dot plots that display distribution or frequency of a single variable.

For Timothy to find if there is a relationship between the ages of students and their shoe sizes, the best choice of data display is a scatter plot. A scatter plot is a type of plot that is used to display values for typically two variables for a set of data. On a scatter plot, both horizontal and vertical axes are value axes that plot numeric data. Thus, it's most suitable for showing a possible relationship between two variables, such as ages and shoe sizes in this case. Other display methods, such as histograms, box plots, and dot plots, are more suitable for displaying distribution or frequency of a single variable rather than a relationship between two variables.

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Answer:

a and c

0.9

0.1

1

Step-by-step explanation:

ez

Answer:

Cost of each hat: $5

Cost of each mask: $3

Step-by-step explanation:

Let be "x" the cost in dollars of a party hat and "y" the cost in dollars of a mask.

Set up a System of equations using the information given in the exercise:

[tex]\left \{ {{3x+4y=27} \atop {3x+6y=33}} \right.[/tex]

You can use the Elimination Method to solve this System of equations:

1. You can multiply the first equation by -1.

2. Then you must add the equations.

3. Solve for "y".

Then:

[tex]\left \{ {{-3x-4y=-27} \atop {3x+6y=33}} \right.\\.....................\\2y=6\\\\y=\frac{6}{2}\\\\y=3[/tex]

4. Now you can substitute the value of "y" into any original equation.

5. Finally, solve for "x" in order to find its value.

Then:

 [tex]3x+4(3)=27\\\\3x=27-12\\\\x=\frac{15}{3}\\\\x=5[/tex]

Answer:

36

Step-by-step explanation:

Frequency of less than 4:

6 + 4 + 8 = 18

Probability:

18/50 × 100 = 36%

Answer:

The length of the ladder is 5 feet

Step-by-step explanation:

Please kindly check the attached file for explanaion

The ladder is 5 feet long.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles

Given,

Let x = height ladder reaches on wall

Let x+1 = length of the ladder

the three pieces of this form a right triangle

so (x+1)² = x² + 3²

x² +2x + 1 = x² +9

2x = 8

Divide both sides by 2

x=4

so the ladder reaches 4 feet on the wall

x+1 = 5

The ladder is 5 feet long

Hence, the ladder is 5 feet long.

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Answer:the answer is D. because if you do 57.75 divided by 5.5 you get 10.5 mi/h

Step-by-step explanation: