An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side? x3 feet

Answers

Answer 1
In any case, divide by three: equilateral=same sides, triangle=3 sides
Answer 2
Let x represent one side of equilateral triangle.
Next, we know that the perimeter of the equilateral triangle= side+side+side,so
P=x+x+x with the P=15x^3+33x^5 feet
15x^3+33x^5=3x
Divided both side by 3
(15x^3+33x^5)/3=3x/3
x=5x^3+11x^5
x=x³(5+11x²) feet. As a result, the length of each side is x³(5+11x²) feet. Hope it help!

Related Questions

Mariah had owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather.

Answers

2.25-1.50=.75.He already paid 1.50 so he has only .75 left to pay

Thanks for the points! BTW, I have the same question.

Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2.

Answers

The given sequence is
[tex]a_{1}=2 \\ a_{n+1}=-4a_{n}+2[/tex]

Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
    = -4(2) + 2 = -8 + 2
    = -6
When n=3, obtain
a₃ = -4a₂ + 2
    = -4(-6) + 2 = 24 + 2
    = 26
When n=4, obtain
a₄ = -4a₃ + 2
   = -4(26) + 2 = -104 + 2
   = -102

Answer:  a₄ = -102

Angie has laid out a design for a garden consisting of two triangular areas as shown. The points are A (0,0), B (0,5), C(3,5), D(6,5), E(6,0). Name the type of congruence transformation for the preimage ABC to EDC.

A.) reflection
B.) rotation
C.) translation
D.) none of these

Answers

I think the correct answer would be A. The type of congruence transformation for the preimage ABC to EDC would be a reflection. It is a transformation where you basically flip the preimage or the original shape ove a line which is called the line of reflection. So, the image would be a mirror image of the preimage. By plotting the points, you will see that triangle EDC is just a mirror image of triangle ABC and the line of reflection would be at x = 3. It could not be a rotation since the preimage was not turned or rotated around a center of rotation. Also, it cannot be a translation since the preimage was not just moved left, right, up or down.

A car dealership increased the price of a certain car by 11%

The original price was $39,600.

Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.

New price= ? x original price

Use your answer in part (a) to determine the new price.
New price: $?

Answers

43956 yu take the original price and times it by .11 then at that to the price f the original and that is your new price
Move 11% to the left 2 times = 0.11
Next, add 1 + 0.11 = 1.11
Then, multiply 39,600 * 1.11 = 43,956
43,956 will be your answer

What is the rounding or compatible number

of 256+321

Answers

Compatible numbers for 256...
1. Rounded to the nearest hundred = 200
2. Rounded to the nearest tens place = 260

Compatible numbers for 321...
1. Rounded to the nearest hundred = 300
2. Rounded to the nearest tens place = 320

I hope this helps! :)


256 would round to 300 and 321 would round to 300. 300+300 = 600
Hope thats what you were looking for!

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?

Answers

To solve this problem, let us first remember that probability is:

Probability = number of successful events / number of total events

 

Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:

P (blue marble) = 20 / 50 = 0.4

 

Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:

P (tails) = 22 / 50 = 0.44

 

Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:

P (blue and tails) = 0.4 * 0.44

P (blue and tails) = 0.176               (ANSWER)

 

Now if the choices are in fraction:

P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500

Answer:

The answer is 440/2500

Step-by-step explanation:

2x+3y=-5
3x-5y=21

The value of y that satisfies the system of the equations above is
A) 2
B)7
C) -3
D)There is no solution

Answers

You have to find a way to eliminate either x and y. We'll eliminate x:

2x + 3y = -5
3x - 5y = 21

2x*3 + 3y*3 = -5*3
3x*-2 + -5y*-2 = 21*-2

6x + 9y = -15
-6x + 10y = -42

19y = -57

y = -3

Why cant you add the exponnents in the product 12 exponent 3 × 11 exponent 3

Answers

Because you are multiplying the bottom numbers and not adding it so it would be 132 in the exponent of 9

How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.

Answers

Variables are an integral part of the equations. 
With equations, you can simulate almost any process. For example, you can take the formula for payroll. (P)Payment=(T)the number of hours multiplied by the (R)rate per hour.P=T*R.In this formula, rate per hour (R) is constant (sometimes  revised, of course).And the Number of hours worked is variable. Every month the number of hours changes. So, to calculate the payroll helps modeling with the use of a formula.

winston's soup recipe make 6 servings and uses 4 carrots and 2 potatoes. how many will winston need for 15 servings

Answers

Hello there!
We have the following equation:
c + p = 15 (c = carrots, p = potatoes)
Previously, we had this equation:
2 + 4 = 6.
2 is 1/3 of 6, and 4 is 2/3 of 6. The sum of these two fractions make a whole.

Let's apply this rule to 15 servings.
Since we are looking for thirds, divide 15 by 3 to solve for 1/3, or "p".
15 / 3 = 5
We have 5 potatoes.

Now, we must remember that the amount of carrots is twice the amount of potatoes.
Divide 15 by 3, then multiply that quotient by 2.
15 / 3 = 5
5 * 2 = 10

We have 10 carrots.


Your final answer is:
Winston will need 5 potatoes and 10 carrots.

I hope this helps!

which of the following are valid names for the given triangle ? check all that apply

Answers

B, D, and E are all valid names for the triangle

Answer: B.  ΔMLZ

D.  ΔLMZ

E. ΔZML

Step-by-step explanation:

In the given picture we have one triangle with three vertices as

Vertex L

Vertex M

Vertex Z

To name a triangle we use the labels of the vertices of the triangle, which are commonly written in capital letters.

When we name a triangle, we can start with any vertex but we need to keep the letters in order as you go around the triangle.

Therefore, the possible names of the triangle are :-

ΔLMZ   Δ LZM    ΔMLZ    ΔMZL   ΔZLM    ΔZML

Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}? Select the correct answer below. A. {(1, 5), (2, 6), (7, 1), (8, 4)} B. {(5, 1), (6, 2), (7, 1), (8, 4)} C. {(2, 6), (1, 5), (8, 4), (7, 1)} D. {(1, 7), (1, 5), (2, 6), (8, 4)}

Answers

B. {(5, 1), (6, 2), (7, 1), (8, 4)}

The area of a square mirror is 256in^2. A rectangular mirror has a width the same as the square mirror's width. Its length is two inches longer than its width. What is the area of the rectangular mirror?

Answers

256 = l×w

l = 2 + w

substitute the "l" in the first equation with the second equation (2+w) and solve for "w". Once you find it, plug into the second equation to find "l". Use the area formula for rectangles to find the area. Hope this helps!

SOMEONE PLEASE GIVE ME THE RIGHT ANSWER!
The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour?

A.) four-ninths over four-fifths equals four over nine miles per hour
B.) four-fifths over four-ninths equals one and four-fifths miles per hour
C.) four-ninths over four-fifths equals one and four-fifths miles per hour
D.) four-fifths over four-ninths equals four over nine miles per hour

Answers

(4/5) / (4/9) = 4/5 * 9/4 = 36/20 = 9/5 = 1 4/5 miles per hour

so B.) one and four-fifths mph

Answer:

B.

Step-by-step explanation:

4/5 go over 4/9 because you are trying to find the unit rate of miles per hour. Since 4/5 is the mile, put that over 4/9. Then, simply divide the two fractions. Which is 1 over 4/5.

answer both questions to get brain if u don't see all the answers is don't matter all u need is the question

Answers

3) area = pi x r^2

113 = 3.14 x r^2

r^2 =113/3.14 = 35.98726

r = sqrt(35.98726) = 5.9989 round to 6 inches

answer is C 6 inches


4) G = 2.5 times smaller than 18.04

18.04/2.5 = 7.216

 answer is B0 7.216 cm

Barry orders a wallet for $12.99, a sweater for $20.99, and a watch for $66.49 from a mail-order catalog. He adds $12.06 for tax, shipping, and handling. What is the total cost of Barry’s order?

Answers

Hi!

To answer this, simply add all of the values together to get the final answer. 

12.99 + 20.99 + 66.49 + 12.06 = 112.53

The answer is 112.53

Hope this helps! :)

Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30.

Answers

8 and 21 = 29 which is < 30
8 * 2 + 5 = ?
16 + 5 = 21

12 and 17 are the greatest integers less than 30

Which linear inequality is represented by the graph?

y ≤ 2x + 4
y ≤ 1/2x + 3
y ≥ 1/2x + 3
y ≥ 2x + 3
The graph is a solid line. It is crossing through (0,3) and it's shaded below it.

Answers

the answer is the second one, the y-intercept is 3 and its is less than or euqal to so you shade below

Ratio or rate of 30 feet to 60 feet

Answers

The ratio of 30 feet to 60 feet is 30:60. Then you can simplify it by dividing each side by 30. Then, you get 1:2. The ratio is 1ft:2ft. Hope this helps! ;)
Info: Make a ratio for 30:60
Ratio:
30:60
You could leave this ratio as is, but it makes sense to simplify it:
30:60 can be divided by 30 on each side to get a simplified ratio of 1:2

I hope this helps!

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 89m long and 66m wide. Find the area of the training field. Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of the field will be given by:
Area=[area of the semi circle]+[area of rectangle]
Area of semicircle is given by:
Area=πr^2
where;
radius,r=66/2=33 m
thus;
Area=3.14*33^2
3,419.46 m^2

The area of the rectangle is given by:
Area=89*66
=5,874 m^2
Hence the area of the field will be:
A=(5,874)+(3,419.46)
A=9,293.46 m^2

Answer:9953.46M squared

Step-by-step explanation:

solve(3/4x=1/5, x=_)

Answers

Final answer:

To solve 3/4x = 1/5, cross multiply and simplify to get 15 = 4x. Divide both sides by 4 to find x = 3.75 or 15/4.

Explanation:

To solve the equation 3/4x = 1/5, we need to find the value of x that makes the equation true. First, we will cross multiply to get rid of the fractions. We multiply both sides of the equation by 4x and by 5, resulting in 5 × 3 = 4x × 1, which simplifies to 15 = 4x.

To find the value of x, we then divide both sides of the equation by 4, yielding x = 15/4. Therefore, the solution to x is 3.75 or ⅔.

Triangle JKL is isosceles. The meansure of angle J is 72degrees and the measure angle K is 36 degrees. Which satement describes angle L?

Answers

Angle L in triangle JKL is [tex]\( 180^\circ - (72^\circ + 36^\circ) = 72^\circ \)[/tex]. Therefore, angle L measures [tex]\( 72^\circ \).[/tex]

1. Start with the fact that triangle JKL is isosceles, which means that angles J and K are congruent.

2. Given that angle J measures [tex]\( 72^\circ \)[/tex] and angle K measures \( 36^\circ \), the sum of angles J and K is [tex]\( 72^\circ + 36^\circ = 108^\circ \).[/tex]

3. Since the triangle is isosceles, the base angles (angles J and K) are congruent, so each measures half of the sum of angles J and K, which is [tex]\( \frac{108^\circ}{2} = 54^\circ \).[/tex]

4. Since angle L is the remaining angle in the triangle and the sum of the angles in a triangle is \( 180^\circ \), we subtract the sum of angles J and K from [tex]\( 180^\circ \)[/tex] to find the measure of angle L: [tex]\( 180^\circ - 108^\circ = 72^\circ \)[/tex].

5. Therefore, angle L measures [tex]\( 72^\circ \)[/tex].

what is the 8th term of this geometric sequence 6,48,384,3072

Answers

common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8

an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==

Stuck on this problem

Answers

step 2 would be 10

step 4 would be 10x-x = 9x =7

 x = 7/9

Step 2: 10
Step 4: 9x
7/9

Hope this helps (;

A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.

Answers

2 inches = 25 miles
?,,,,,,,,,,,,,,,60 miles

60 x 2 / 25 = 4.8 inches

1/4 = 0.25 inches

0.25 x 25 / 2 = 3.125 miles

answer

How many inches on the map represent 60 miles?
Enter your answer in the box.
answer: 4.8 inches

Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
answer: 3.125 miles

Devaughn's age is two times Sydney's age. The sum of their ages is 30

. What is Sydney's age?

Answers

D=2S

D+ S = 30

2s+S = 30

3S=30

S=30/3 = 10

Sydney is 10

Devaughn is 2*10 = 20

Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?

Answers

Final answer:

Jacqueline's car gets 12 km per liter of gasoline. Therefore, on a full 50 L tank, she would be able to drive 600 km.

Explanation:

To solve this problem, we need to determine Jacqueline's rate of distance traveled per liter of fuel consumed, then scale this up to find out how far she could theoretically drive on a full tank of 50 liters of gasoline. Jacqueline drove 72 km on 6 L of gasoline, so she is driving at a rate of 72 km / 6 L = 12 km/L.

To find out how far she could drive on a full tank of 50 L of gasoline, we can multiply this rate (12 km/L) by the total volume of the tank. This gives us 12 km/L * 50 L = 600 km.

So using this rate, Jacqueline would be able to drive 600 km on a full 50 L tank of gasoline, assuming that her car’s fuel efficiency stays consistent.

Learn more about Fuel Efficiency here:

https://brainly.com/question/13347135

#SPJ12

Jacqueline can travel 600 km on a full tank of 50 L.

First, set up the proportion based on the given information,

Distance travelled / Gasoline used = Unknown distance / Full tank

This gives us:

72 km / 6 L = X km / 50 L

Now, solve for X by cross-multiplying and then dividing,

72 km * 50 L = 6 L * X km

3600 kmL = 6X kmL

3600 kmL / 6 = X km

X = 600 km

Therefore, Jacqueline can travel 600 km on a full tank of 50 L of gasoline.

Help me quick plz thanks

Answers

add 12-3 = 9

 the difference is 9

 

Which is not a true statement? A 346.91 < 347 B 586.0041 < 586.0004 C 637.750 = 637.75 D 959.0059 < 959.006

Answers

B because 586.0041 is more than 586.0004 not less than.

Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. How much sales tax will Diego pay?

Answers

If I understand this question correctly, Diego will pay $1.12 because the 9 rounds the 1 up to a 2.
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