Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Answers

Answer 1

Answer:

17 inches

Step-by-step explanation:

Given

[tex]P = 51[/tex] --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

[tex]51 = 2(L + W)[/tex]

Divide by 2

[tex]25.5 = L + W[/tex]

The rectangle and the square have the same length.

So:

[tex]L = 2W[/tex]

[tex]25.5 = L + W[/tex] becomes

[tex]25.5 = 2W + W[/tex]

[tex]25.5 = 3W[/tex]

Divide both sides by 3

[tex]W = 8.5[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 8.5[/tex]

[tex]L = 17[/tex]


Related Questions

The circle below has center H. Suppose that mLFEG=46°. Find the following.

Answers

From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.

The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.

Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.

The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]

So, ∠FHG = 92°

Measure of the arc FG = 2πr(θ/360°)

FG = 2πr(92/360)

FG = 23πr/45

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Find m (angle) 1 . Then classify the triangle by its angles.

M (angle) 1 =

Answers

Answer:

right triangle m=5

Step-by-step explanation:

because it has a 90 degree angle

SU is a midsegment of QRT
If QR=-5v+96 and SU = 19v-38 than what is the value of X

Answers

Answer:

v = 4

Step-by-step explanation:

What is the midsegment of  a triangle?

a segment that runs from the midpoints of two opposite sides

⭐What are some properties of the midsegment?

the midsegment is 1/2 of the length of the base

Thus, we have to make an equation using the properties of the midsegment to solve for v.

Working:

[tex]SU = \frac{1}{2}(QR)[/tex]

[tex]19v - 38 = \frac{1}{2}(-5v + 96)[/tex]

[tex]38v - 76 = -5v + 96[/tex] . . . . .  multiply both sides by 2 to get rid of the fraction

[tex]43v = 172[/tex] . . . . . add 5v and 76 to both sides

[tex]v = 4[/tex] . . . . . . . . . divide both sides by 43 to isolate v

IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE "BRAINLIEST" :-)

Example You practice paddleboarding for
3 weeks. You paddle the same amount each day
for 5 days each week. You paddle 22.5 miles
altogether. How many miles do you paddle
each day?

Answers

Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).

Explain equation

A mathematical depiction of two equal things, one on either side of a "equals" sign, is called an expression. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.

Here,

The 15 miles that Bob the Boy Scout must paddle upwards against the current takes him 10 hours.

He discovers that paddling 22.5 miles against the current only took him 5 hours when he turns back.

——

Upstream data: rate = d/t = 15/10 = 1.5 mph, distance = 15 miles, time = 10 hours.

————————

Downstream DATA: rate = d/t = 22/5 = 4.4 mph; duration = 5 hours; distance = 22 miles.

———————-

Equations:

upstream: Downstream, b-c = 1.5 mph; b+c = 4.4 mph

2b = 5.9 mph;

2b = 2.95; add and solve for "b" (speed of the boat in still water)

—-

For "c," use the formula

=> b + c = 4.4

=>2.95 + c = 4.4

=> c = 1.45 mph (speed of the current)

Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).

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a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help, explanation required

Answers

$204

If you take 1- .75= .25 then you take 51 divide by .25 then you get the original price of 204. To check you answer you can take 204 x .75=153 then you take 204-153=51

Which set of angle measures CANNOT be the angle measures of a triangle? 1. 60, 60, 61 2. 1, 1, 178 3. 13.9, 16.1, 150 4. 59, 60, 61

Answers

Answer:

1.

Step-by-step explanation:

60+60+61 is 181 and a triangle always has 180 degrees

Can u please help . ?............

Answers

Answer:

See the picture below

Step-by-step explanation:

solve x^2-4x=0 by factoring

Answers

[tex]\huge\text{Hey there!}}[/tex]


[tex]\mathsf{x^2 - 4x = 0}[/tex]

[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]

[tex]\mathsf{x(x - 4) = 0}[/tex]

[tex]\text{Set the factors to equal to the number 0}[/tex]

[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]

[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]

[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Can someone please help?!!!!!!

Answers

I think the answer is C.
I think the answer is C

3. A recipe for carrot-bean soup calls for 750 ml of broth, 300 g of beans, and
1/2 cup sliced carrots. How many grams of beans and cups of carrots will you
use if you only have 600 ml of broth? Show your thinking in the following
table.
(4 points)
A
B
с C
D
E
given

Answers

Answer: hope this helps

Step-by-step explanation:

600/750 = 4/5

The number of beans is 4/5*300.

The number of carrots is 1/2*4/5.

Question 39 of 40
What are the zeros of the function f(x) = (x + 5)2 x-8)?
A. X= 5 and x = -8
B. x= -5 and x = 8
C. X=-5 and x = 4
D. x= 5 and x= -4
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

we have to solve the associated equation:

(x+5)(2x-8) = 0

a product is equal to 0 if at least one of its factors is equal to 0

so we can solve this two equations

x + 5 = 0    x = -5

2x - 8 = 0.   x-4 = 0      x = 4

5x/100 22/6 = 16 15/14​

Answers

Answer: I don't know

Step-by-step explanation:

Construction A construction company is building a new parking garage and is

charging the following rates: $5000 a month for the first 2 months; $8000 a month

for the next 4 months; $6000 in total for the last 4 months, when the garage will be

completed. This amount will be paid in a lump sum at the end of the 6th month.

Express the cost C (in thousands of dollars) as a function of

the time t (in months) that the construction company works

on the parking garage.

Answers

Answer:

C(t) = 5t for 0 < t ≤ 3

C(t) = (8t-9) for 3 < t ≤ 6

C(t) = 44 for 6 < t ≤ 10

C is given in thousands of dollars and t is given in months.

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Step-by-step explanation:

We will do a piecewise analysis for this cost function.

How to obtain the total cost changes with each time interval.

In the first 3 months,

C(t) = 5t for 0 < t ≤ 3

Note that C is given in thousands of dollars

In the next 3 months,

C(t) = (8t-9) for 3 < t ≤ 6

- Here, it gets a little complex, we use the upper limit of the previous interval and the lower limit of this new interval to get the constant to be subtracted from the normal 8t that characterizes this interval.

8(3) = 24

5(3) = 15

constant = 24 - 15 = 9

In the last 4 months,

C(t) = 44 for 6 < t ≤ 10

- For the last four months, it is a single sum of $5000 plus the [8(6) - 9] from the previous inteval

C = [8(6) - 9] + 5 = 39 + 5 = 44

So, the cost of parking, tracked month after month gives

T | Cost (in thousands of dollars)

1 | 5

2 | 10

3 | 15

4 | 23

5 | 31

6 | 39

7 | 44

8 | 44

9 | 44

10 | 44

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Hope this Helps!!!

This is not my answer yet is a stollen verrified one.

PLEASE HELP IM IN 4th grade

Answers

Answer:

30 feet

Step-by-step explanation:

a = l * w

Its a square so l and w are the same

x * x = 900

30 * 30 = 900

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

If you know about square roots

x = √900

x = 30

Answer:

1 ture

2 false

3 false

4 ture

Step-by-step explanation:

What is the perimeter?
Help plz... And
No links
I repeat No links!!

Answers

Answer:

the perimeter is 25 miles

Answer:

30 mi

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies:

13^2 + x^2 = 12^2, or

x^2 = 25 and x = 5.

The perimeter is the sum of the dimensions of this triangle:  

12 mi + 5 mi + 13 mi = 30 mi

A cinde has a diameter of 26 units. What is the area of the cirde to the nearest
hundreath of a square unit?
A 81.68

Answers

Answer:

Area of circle = 530.66 unit sq

Step-by-step explanation:

here's your solution

==> Diameter of circle = 26 units

==> Radius of circle = 13

==> Area of circle = πr^2

==> Area of circle. = 3.14*(13*13)

==> Area of circle = 530.66 unit sq

hope it helps...

Find the value of x. Write your answer as a decimal​

Answers

The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangles are congruent triangles. Then the ratio of the corresponding sides will be equal to one. Then the equation is given as,

4x + 17 = 7

Simplify the equation, then we have

4x + 17 = 7

4x = 7 - 17

4x = - 10

x = - 10/4

x = - 2.5

The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.

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A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth

Answers

The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.

What is probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Calculating probability of selecting a card:

From the question, we are to determine the probability of selecting two cards with D and D

From the formula for probability, we have that

P(D) = Number of favorable outcomes to D / Total number of possible outcomes

From the given information,

Number of favorable outcomes to D = 2

Number of possible outcomes = 3

Thus,

P(D) = 2/3

Then,

The probability of selecting two cards that have D and D with replacement is

P(D, D) = P(D) × P(D)

P(D, D) = 2/3 × 2/3

P(D, D) = 4/9

Hence, the probability is 4/9.

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Please help, This is confusing. I'll mark brainiest

Answers

Answer: a.

Look at the tables closely, many of them are either trick questions or flat out wrong.

Select all questions that depicts one of the properties of exponents

Answers

Answer: 1st, 4th, and 5th choices

Write and equation to match the hanger.

Answers

Answer:

x = 3

Step-by-step explanation:

The weight of the left side is to match that of the right side.

5x + 2 = 17,

so 5x = 15, and x = 3

The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?

Answers

When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

Properties of 9-divisible numbers

A number is itself divisible by nine if the total of its digits is also divisible by nine.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine without remainder.

By utilizing the aforementioned attribute, we can

1 + 3 + 4 + 5 = 9, 18, or 27.

4 +2A = 9, OR 18, OR 27

calculating based on sum equal to 18

2A = 18 - 4

2A = 14

A = 7

therefore 3771 is the number

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The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.

Answers

Complete question :

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60​

Answer:

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

Step-by-step explanation:

The shipping rates are :

C(w) = 0.45w

Second rate :

C(w) = 0.35w + 1.6

For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.

However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.

A sequence is represented by the recursive formula below:

Answers

The value of the sequence is (c) 13, 25, 37, 49

How to determine the value of the sequence

The definition of the sequence is given as

a(1) = 13

a(n) = a(n - 1) + 12

The above definitions imply that we simply add 12 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = 13 + 12 = 25

a(3) = 25 + 12 = 37

So, the sequence is 13, 25, 37

Hence, the value is (c)

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The cost of 5.5 pounds of apples is 40.81. What is the constant of proportionally that relate the cost in dollars, y, to the number of pounds of apples, x.

Answers

Answer:

7.42

Step-by-step explanation:

y = (40.81/5.5)x

y = 7.42x

This is algebra 2, please help me by using elimination to solve.

Answers

The correct option regarding the solutions of the system of equations for this problem are given as follows:

The solutions are (-1.19, 4.47) and (2.52, 27.92).

How to solve the system of equations?

The system of equations for this problem is defined as follows:

4x² + x - y = 0.-x² - 5x + y - 9 = 0.

Adding the two equations, we can eliminate the variable y, hence:

3x² - 4x - 9 = 0.

Meaning that this is a quadratic equation with the coefficients given as follows:

a = 3, b = -4, c = -9.

Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:

x = -1.19 and x = 2.52.

When x = -1.19, the solution for y is calculated as follows:

y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.

When x = 2.52, the solution for y is calculated as follows:

y = 4x² + x = 4(2.52)² + 2.52 = 27.92.

Meaning that the correct option is given by the second option.

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The preimage of a triangle has points A(4,6) B(10,5) and C(1,-3). What are the coordinate of the image after a dilation of 1/2?

Answers

Answer:

A (2,3); B (5, 2.5) C: (.5, -1.5)

Step-by-step explanation:

divide everything by 2

How do you write a function in Gee?

Answers

This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.

1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:

function getArea(geometry)

2. Calculate the area of the geometry using the “area” function in GEE:

var area = geometry.area();

3. Return the calculated area:

return area;

4. End the function:

This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.

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Which is not a polynomial a 4x2 2x 1 by 3 YC x3 1 D y2 5y 1?

Answers

2) y+ 3÷y is the equation that is not a polynomial. Using addition, subtraction, multiplication, and division of numbers .

what is polynomial ?

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

An algebraic mathematical equation known as a polynomial might have two components. coefficients and parameters

You can combine the solutions to these algebraic equations to achieve the result.

It follows the general formula as follows:

a + a1 + a+ …

2)y+ 3y is the equation that deviates from the formula above.

So, 2)y+ 3y is the equation that is not a polynomial.

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Can canvas track tabs?

Answers

Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

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