The second side of a triangle is 3 times the first side. The third side of a triangle is 2 1/2 times the first side. If the perimeter of the triangle is 65 feet, find the length of each side.

Answers

Answer 1

Answer:

F=first side; S=second side=3F; T=third side=2.5F

.

F+S+T=60ft

F+3F+2.5F=60ft

6.5F=60ft

F=9.23ft

S=3F=3(9.23ft)=27.69ft.

T=2.5F=2.5(9.23)=23.08ft

.

ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft

Step-by-step explanation:


Related Questions

An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s

Answers

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

https://brainly.com/question/23999020

Answer: B. 13 cm/s

Step-by-step explanation:

What is the solution of the equation?
8-3t=t

-1/4
-4
2
1/2

Answers

Answer:

t = 2

Step-by-step explanation:

8-3t=t

add 3t to both sides

8=4t

then divide both sides by 4 leaving you with

t=2

Helllllpppppppp!!!!!

Answers

Answer: The correct answer is C

Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest

Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =

Answers

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

Help me find the value​

Answers

Answer:

soln

Step-by-step explanation:

a=7

b=-2

5a-3b

5×7-3×-2

35+6(because - and - becomes+

41ans

Answer:

5a-3b

5×7-3×-2

35-6

29

I think soo

Please explain. I think it’s two step equations

Answers

Answer:  I don’t see anything

Step-by-step explanation:

If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?

Answers

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

what is the probability of reaching into the bag and picking a red marble and then drawing again (without replacing the marble you picked the first time) and picking a red marble. Please help. i have acellus btw

Answers

Answer:

To solve you would need the exact number of all colored marbles

What is the sum of all the positive integers from √24 to √102

Answers

Answer:

[tex] \sqrt{24} = 4.9[/tex]

[tex] \sqrt{102} = 10.1[/tex]

positive integers = x

4.9 < x < 10.1

x = 5, 6, 7, 8, 9, 10

sum = 5 + 6 + 7 + 8 + 9 + 10

= 45

simplify (a+1/a)^2-(a-1/a)^2​

Answers

Answer: 4/a

Explanation:
(a+1/a)^2 - (a-1/a)^2
= (a^2 + 2a + 1)/a^2 - (a^2 - 2a + 1)/a^2
= (a^2 + 2a + 1 - a^2 + 2a - 1)/a^2
= 4a/a^2
= 4/a

a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)

b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million

Answers

A general linear equation is given by:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

[tex]y = 0.033*x + 1.269[/tex]

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]

So the linear equation is something like:

[tex]y = 0.033*x + b[/tex]

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]

Then the linear equation is:

[tex]y = 0.033*x + 1.269[/tex]

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

[tex]y = 0.033*48 + 1.269 = 2.853[/tex]

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

https://brainly.com/question/1189779

(4x – 5)(7 – 2x) – (2x + 2)(2 – 4x)= -1

Answers

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

solve the equation
5(2x + 8) = - 33 +53

Answers

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

To which number sets would ✓16 belong? Check

all that apply.

(Select all that apply.)

Natural

Whole

Integers

Rational

Irrational

Answers

Answer:

16 is rational , interger , Whole.

Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case

Answers

Answer:

18245

Step-by-step explanation:

We have to use L.C.M,

L.C.M(20,24,32,38)

2|20,24,32,38

2| 10 ,12 ,16 ,19

2| 5 , 6 , 8 , 19

2| 5 , 3 , 4 , 19

2| 5 , 3 , 2 , 19

L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19

          = 18240

Now for each case remainder is 5,

So the number is 18240+5

=> 18245

Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5

Answers

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

What is the area of a rectangle with a length of 5 cm and a width of 3 cm

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

15cm²

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.​

Answers

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

find the radius of a circle that has an area of 803.84 cm squared

Answers

Answer:

Radius = 16

Step-by-step explanation:

Area = πr²

803.84 = 3.14(r²)

256 = r²

√256 = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4.) 5(3y – z) - x =
If y=8, z=6, and x=2

Pls help lol

Answers

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

88

Step-by-step explanation:

Given expression:

5(3y - z) - x

Evaluating the value of this expression if y = 8, z = 6, x = 2:

5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

you are totally correct

The distance between two points on a map is 6.5 cm. The scale of the map is 1:1000. Find the actual distance between the two points in km.
I need the answer asap

Answers

Answer:

0.065km

Step-by-step explanation:

1:1000 in cm

so in km its

cm:km

1:0.01

6.5:X

so its 0.065 km

hope it helps and correct

keep loving maths

ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?​

Answers

Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years

P= 80000

R = 10% '

1st-year amount = 88000

10% compounded annually

If you pay the loan of  55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts

= \frac{55000}{110} \times 100 = 50000

So after the first year, a certain amount is paid, and the remaining amount is will be 50000.

So a certain amount to be paid in 1 year = 88000 -50000 = 38000

A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.

A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022

Learn more about loans here

https://brainly.com/question/9302251

#SPJ1

11. Write y = 2x² +12x+14 in vertex form.

Please show work if possible so I know how to do it

Answers

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards​

Answers

Answer:

99

Step-by-step explanation:

9x5 + 7X6 + 3X4 + 2X6

Which point represents the opposite of -2?
A B C D
5 3 2 0 1 2 3 4 5
ОА
ОВ
ОС
OD

Answers

Answer:

your answer is point D represent

Which of the following equations has the same solution as: |3x + 2| = 4x + 5

Answers

Answer:

Step-by-step explanation:

Which of the following is the equation of the line that has x-intercept -2 and y-intercept -6?
А. y=-3x - 6
B. y=-2x - 6
C. y=-6x-2
D. y = 3x - 2

Answers

Answer:

a

Step-by-step explanation:

y=mx+c, where c is the y-intercept. hence,

y=mx-6

at the x-intercept, y=0 and x = -2

0 = m(-2)-6

2m = -6

m = -3

y = -3x-6

Answer:

a

Step-by-step explanation:

0 = m(-2)-6

M = -3

Y = -3x-6

With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?

Answers

Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.

Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x​

Answers

Answer:

option c

Step-by-step explanation:

explaination is in pic below

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