The second side of a triangular deck is 5 feet longer than the shortest side. The third side of the deck is 5 feet shorter than twice the length of the shortest side. If the
perimeter of the deck is 60 feet, what are the lengths of the three sides?
The shortest side of the deck is feet.
(Simplify your answer.)

Answers

Answer 1

Answer:

Step-by-step explanation:

60= s+5  + 2s-5 + s

60 = 4s

15 = s

the short side is 15

the 2nd side is 20

the 3rd side is 25


Related Questions

Maya went shopping for a new video game because of a sale. The store was offering a 40% discount. If the price on the tag was pp, which expression does NOT represent the price after the discount but before tax?

Answers

The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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You randomly select one card from a 52-card deckFind the probability of selecting a black ace or a red nine

Answers

Answer:

2/52 + 2/52 = 4/52

what number should be added to -5/8 so as to get
4/9?​

Answers

Answer:

The answer is [tex]\bf \dfrac{77}{72} [/tex].

Steps required :

Suppose the number as x.

Frame a linear equation according to the question.

Transposing -5/8 from L.H.S to R.H.S. (Sign gets changed while transposition)

Performing addition.

The number we got after performing addition is the required answer.

Refer to the attachment. :)

What is the value of x? Show your work in arriving at your answer.

Answers

The value of x is 18.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

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(REPOST) PLS HELP Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

What is the volume of this box?


192in³

275in³

37512 in³

425in³

Answers

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Answer:

425 in³

Step-by-step explanation:

V = whl

12 1/2 · 8 1/2 · 4 = 425

Jayla has a makeup mirror like the one shown below, which measurement is closest to the area of the mirror in square inches?

Answers

Answer:

D. 113.1 in^2

Step-by-step explanation:

i will give Brainiest if you are right

Answers

Answer:

F. 4 ÷ 5

Step-by-step explanation:

5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take for the account value to reach 17600 dollars?

Answers

Hence It will take 12.88 years for the account value to reach 17600 dollars.

Help on this question ASAP PLEASE!!!

Answers

x=4 is the answer if you are looking for x

Choose the exponential function that is true for these points: (0, 1) and (1,
2).
Oy=4"
Oy = 32
Oy = 2

Answers

Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

Step-by-step explanation:

The value of a new car decreases by 10% in the first year.How much will a car be worth after one year if it’s an initial value was $40,000?

Answers

Answer:36,000

Step-by-step explanation: if ten percent of 100 is 10 we can use the same concept on 40000 by dividing it by 10 because 10% can be roughly said as 1/10 so 1/10 of 40000 is 4000 which we will subtract 40000 by which results in 36000

Hope this can help you

Please help me with this question!!

Answers

Answer:

y=8(0.5)^x

Step-by-step explanation:

We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x


Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.

Answers

On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2

What is probability?

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

here,

the probability that event the dice will roll is 6

and chances of geting even numbers are = 3

so P(a/c) = 3/6 = 1/2

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Joshua's cousin pledged $12 for a charity walk if Joshua walked 3 miles how much did his cousin pay per mile

Answers

Answer: $4 per mile

Explanation: 12/3 = 4
Joshua’s cousin paid $4 per mile because $12/3 miles is $4 per mile

What step should be taken to isolate the variable in the following
equation? 7d=49*
add 7 to both sides
subtract 7 from both sides
multiply 7 on both sides
divide 7 from both sides

Answers

Answer:

Divide 7 on both sides.

Step-by-step explanation:

Please can someone help me!!!!!

Answers

Answer:

Your answer for both is 31 degrees

Step-by-step explanation:

Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.

First you do

82+67 = 149

Take that answer and minus it by 180

180-149 = 31

Answer:

*Using < for angle symbol*

m<E= 61 degrees

m<G= 119 degrees

Step-by-step explanation:

Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.

Hope this helps! Have a nice day :)

the value of polynomial 5x - 4x square +3 when x=1​

Answers

Answer:

f(x)=5x-4x²+3

f(1)=5×1-4×1²+3

5-4+31+34

hope it helps.

Step-by-step explanation:

5x - 4x^2 + 3

Now, put x = 1

=> 5(1) - 4(1)^2 + 3

=> 5 - 4 + 3

=> 8 - 4

=> 4 Ans.

which of the following could be effectively used to reduce friction (a) water (b)petrol (c) kerosene (d) grease​

Answers

Answer:

( d ) grease

Step-by-step explanation:

Grease could be effectively used to reduce friction.

There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.

Answers

The exponential function  can be written as y = 700e^-0.094t.

What is the exponential function?

We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.

We can use;

N = Noe^-rt

N = amount at time t

No = Amount at the beginning

r = decay rate

t = time taken

Thus we have; y = 700e^-0.094t

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A student wants to write an expression for, all of the elements which are in set A AND all of the elements in set B.” Which expression below matches the statement? (A ‘U B’). (A U B). (A n B) P(A n B)

Answers

A student wants to write an expression for, all the elements which are in set A and all the elements in set B. Then, the expression matches the statement is (A n B), which is read as A intersection B. Thus, option B is correct.

What is intersection?

The intersection of two sets A and B, denoted by display by (A B). It is the set containing all elements of A that also belong to B, or, alternatively, all elements of B that also belong to A. The symbol is sued for the intersection is ∩. This is defined as that the element of A and B are is a single set.

Therefore, option B is correct.

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Help pls no links I'll give briliantest if you give me the right answer

Answers

Answer:

4 unit, 3 units

Step-by-step explanation:

It can be observed that there are 4 units on each side of the square and the triangle has a height of 3 units using the picture

Let us call a function f : A → R anti-continuous if it satisfies the following condition.
For every point x ∈ R there exists > 0 and δ > 0 such that for all y ∈ A
0 < |x − y| < δ =⇒ |f(x) − f(y)| > .
(a) Show that there exists an anti-continuous function f : Q → R.
(b) Show that there is no anti-continuous function f : R → R.

Answers

Answer:

Aye I've you caught now ya wee bastаrd

Step-by-step explanation:

A surveyor has a surveyed a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up the unknown side of the plot to the nearest foot

Answers

Answer:

tanga bono ulaga kase tatamadtamad

A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?

Answers

Answer:

The mechanic spent 12 hours on the repair.

Step-by-step explanation:

$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.

The mechanic spent 12 hours on the repair.

Two people leave from the same point. One travels 12 meters north. The other travels 9 meters east. How far apart are they?

Answers

Answer:

It would be 3 meters apart

I need the answer fast it’s a simple one

Answers

Answer:

on average, how many plants do the students in your class have at home

Step-by-step explanation:

there is more than one answer

B is the correct answer

Step-by-step explanation:

It  can be answered by collecting data.

The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A

Answers

Answer:

( 7,-1 )

Step-by-step explanation:

Find the measure of line segment TU. Assume that lines which appear to be tangent to the circle are tangent.
A)
14
B)
16
18
D)
20

Answers

Given:

A figure of a circle. A secant SU and a tangent SR is drawn to the circle from the external point S.

To find:

The measure of the line segment TU.

Solution:

According to the secant tangent segment theorem, the square of tangent is equal to the product of secant and external segment of the secant.

Using secant tangent segment theorem, we get

[tex]SR^2=SU\times ST[/tex]

[tex](40)^2=(32+2x-2)\times (32)[/tex]

[tex]1600=(30+2x)(32)[/tex]

[tex]1600=960+64x[/tex]

Subtract both sides by 960.

[tex]1600-960=64x[/tex]

[tex]640=64x[/tex]

Divide both sides by 64.

[tex]\dfrac{640}{64}=x[/tex]

[tex]10=x[/tex]

Now, the measure of the line segment TU is:

[tex]TU=2x-2[/tex]

[tex]TU=2(10)-2[/tex]

[tex]TU=20-2[/tex]

[tex]TU=18[/tex]

Therefore, the correct option is C.

x^2+8x+4=0 using quadratic formula

Answers

Answer:

-4±2√3

Step-by-step explanation:

quadratic formula: (-b±√(b²-4ac))/(2a)

a = 1

b = 8

c = 4

(-8±√(8²-4*1*4))/(2*1)

(-8±√(64-16))/(2)

(-8±√48)/(2)

(-8±4√3)/(2)

-4±2√3

The time t in seconds that it takes a car to accelerate to ask mph can be described by T=0.001×0.7 32X^2 +15.417X +603.738 how fast in miles per hour is the car going after 8.55 seconds

Answers

The miles per hour that the car is going after 8.55 seconds is 610.79 miles per hour.

How to calculate the time taken?

From the information Illustrated, it should be noted that the t in seconds that it takes a car to accelerate to ask mph can be described by T = 0.001 × 0.732X² + 15.417X + 603.738.

In this case, it is important to note that x in the function simply represents the seconds.

Therefore, based on the information, the miles per hour is the car going after 8.55 seconds will be:

T = 0.001 × 0.732X² + 15.417X + 603.738.

T = 0.001 × 0.732(8.55)² + 15.417(8.55) + 603.738

T = 0.001 × 53.511 × 131.815 + 603.738

T = 610.79

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