The perimeter of a triangle is 38 feet. One side of the triangle is 4 feet shorter than the second side. The third side is 6 feet longer than the second side. Find the length of each side.

Answers

Answer 1

Answer:

First side, a = 8 ft.

Second side = 12 ft.

Third side, c = 18 ft.

Step-by-step explanation:

Let the sides of the triangle be a, b and c respectively.

Given the following data;

Perimeter = 38ft

First side, a = b - 4

Third side, c = b + 4

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = a + b + c

Substituting into the equation, we have;

38 = (b - 4) + b + (b + 6)

38 = 3b + 2

3b = 38 - 2

3b = 36

b = 36/3

b = 12ft

To find the first side, a;

a = b - 4

a = 12 - 4

a = 8ft.

To find the third side, c

c = b + 6

c = 12 + 6

c = 18 ft.


Related Questions

Does this look right? Explain why


5/6


6.565656…


0.23


-5 3/8

Answers

Answer:

Yes

Step-by-step explanation:

Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so

5/6 is right since it is a fraction

6.565646 is right since it is a repeating decimal

0.23 is right since it is a terminating decimal

-5 3/8 is right since it is a mixed number

Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits

17:3 and 15:60 Equivalent ratios

Answers

Answer:

Step-by-step explanation:

17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.

15:60 = 1:4

Help person right gets brainlist​

Answers

correct answer is = 3 17/28
brainliest?
P= 3 17/28
If its mixed number

P=3.60714285
If its need to be decimal

Just copy the answer from the pic

What is a multiple of 1/7 I need a answer quickly. its due tonight please help

Answers

Answer:

2/7

Step-by-step explanation:

Hope that helps! (Brainliest please!)

Exercise 2.4.4: Showing a statement is true or false by direct proof or counterexample. About Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample. (a) If and are even integers, then is an even integer. Solution (b) If is an even integer, then and are both even integers. (c) If , then . Solution (d) If x and y are real numbers and , then . Solution (e) If and are positive real numbers and , then . (f) The average of two odd numbers is an odd integer. (g) The average of two even numbers is even. (h) The average of two odd numbers is an integer. Solution

Answers

Answer:

Step-by-step explanation:

and ok thats the deal

A new pair of Nike shoes costs $95. It is on sale for 25% off! How much will you pay (not including taxes)?

Answers

Answer:

23.75

Step-by-step explanation:

95 is the 100 so to find 25% divide it by 4 and you get 23.75

the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need ​

Answers

Answer:

36 pegs (for the hypotenuse)

About 51 pegs (for the legs)

138 pegs (total)

Step-by-step explanation:

Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.

The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.

Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.

Hope it helps!

HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!

Answers

Answer:

DB!

Step-by-step explanation:

Question a: 3+3+2+2 = 10 dinners

Question b: 15-30 and 30-45, because most people choose that range.

Hope I helped!

Answer:

a) 10 b) 2-3 dollars

Step-by-step explanation:

a) 3+3+2+2

b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3

if the figures below are similar give the scale factor of figure a to b,20,17.5,16,14

Answers

Answer:

Step-by-step explanation:

Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?

Answers

I’m pretty sure that says 6 cups of vegetables so 84 cups but if you meant 1/6 of a cup then 7/3 cups or 2/1/3

what is the difference between 1 and o.1978​

Answers

Answer:

0,8022

Step-by-step explanation:

guess it helped

Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?

Answers

Answer:

greatest common factor is 12xy² .

Step-by-step explanation:

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.

Answers

Answer:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be xSpeed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/h

Answer:

5km/hr or 6km/hr

Step-by-step explanation:

Through (4,-4) parallel to y=3

Answers

Answer:
y = -4

Explanation:
The graph of y = 3 is horizontal.

The slope must be 0 for a line to be horizontal, and thus parallel to y=3.

In slope-intercept form (y = mx + b), “m” is the slope, “b” is the y-intercept.
When the slope, m = 0, the equation becomes y = b.

Point (4,-4) is written (x, y).
y = -4

Since y = b, b = -4.

Therefore, the equation is y = -4.

Answer:

y = -4

Step-by-step explanation:

Because y = b, b = -4, the equation would be written as y = -4.

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth

Answers

Answer:

83 m

Step-by-step explanation:

The computation of the length of the wire is shown below:

Let us assume the length of the wire be x

Given that

There is 35m from the base of the tower

And, the angle with the ground is 65 degree

So, the length of the wire is

cos 65 = 35 ÷ x

x = 35 ÷ cos 65

= 83 m

n=7, x=4, p=0.45, find p4

Answers

Answer:

1.8

Step-by-step explanation:

All you need to do is use substitution....

p4

They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value

p4 = (0.45)4

0.45 * 4 = 1.8

so p4 = 1.8

Hope this helped!

Have a supercalifragilisticexpialidocious day!

(a) Write the ratio 32 : 80 in its simplest form​

Answers

Answer:

Therefore, 32/80 simplified to lowest terms is 2/5.

Can someone solve this please

Answers

Answer:15. 5/8 = 0.625

Step-by-step explanation:

1. What is the result when 3x2 - 4x + 5 is subtracted
from 3x3 – 13x + 4?

Answers

i think it would be 2-9x

Plzzz help me it would mean a lot I willl mark you brainliest if you are right plz and ty ​

Answers

Answer:

45

Step-by-step explanation:

x÷3=15

=×*1/3=15

=x=15*3

x=45

Answer:

15 x 3 = 45

So, x = 45

Pls mark the brainliest :)

Step-by-step explanation:

Find the perimeter and area of the figure

Answers

Answer:

Step-by-step explanation:

Perimeter = Add

Area= x

Use this solution to figure the area & Perimeter out.

Answer:

perimeter = 76 ft

area = 338 sq ft

Step-by-step explanation:

Calculate the distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

Step-by-step explanation:

√[(7-4)^2+{-7-(-2))^2] = √36 = 6

The distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane is 6.

What is coordinate plane ?

"A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis. These two number lines intersect each other perpendicularly and form the coordinate plane.

The plane is called two-dimensional because anywhere on this plane where you can put your finger, the location of that point will need two things– its distance on the x-axis and its distance on the y-axis."

Using the distance formula between the points

Given, J = (4,-2) and E = (7,-7)

Distance formula = [tex]\sqrt((x1 - x2)^2 -(y1 - y2)^2)[/tex]

[tex]= \sqrt((4-7)^2 + (-2 - (-7))^2)\\\\= \sqrt(9 + 25) = 6[/tex]

Hence, distance between the points J and E = 6

To know more about coordinate plane here:

https://brainly.com/question/13611766

#SPJ3

4.5=2c I need help plz

Answers

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Swap the sides > =2c=4.5 then divided both sides c=2.25 there’s ya answer

The population of a school is 800 students and is increasing at a rate of 3% per year. How many students will be there in 6 years?

Answers

Answer = 955

At a constant rate of 3% year over year their would be 955 students after 6 years

Ex. What is the theoretical probability of rolling 5 or higher on a six sided die?​

Answers

since they can roll a 5 or a 6 there’s 2 options
then there are 6 total options
so 2/6 = 1/3

3. What is slope of the line above?
4. What is slope of the line above?


help!

Answers

The answer is

3.) -1/2
4.) 4/3

Find the total amount in Mr. G’s account, if he invests $9000 for 5 years at a 6% interest rate.

Answers

Answer:

20,000

Step-by-step explanation:

for 5 6% at those with division 20,000 together and they would have 20,000

Help, please it's due soon?

Answers

9514 1404 393

Answer:

  398,765

Step-by-step explanation:

If s represents the number sold to date, the given relation is ...

  0.081s = 32300

  s = 32300/0.081 ≈ 398,765 . . . . . . divide by the coefficient of s

398,765 copies have been sold to date.

Identify the ‘false’ statement.
a) (-317) < 603
b) (-333) < (-777)
c) 630 > 234
d) 1250 > (-750)

Answers

Answer:

the false statement would be option b) (-333) < (-777).

Step-by-step explanation:

in negative numbers, the smallest negative number would be considered larger when compared to a large negative number. additionally, when you plot these numbers on a number line, it is evident that -333 would be closest to 0, and -777 would be the farthest. thus, -333 is larger than -777.

what is the length of segment SA? show your work please I will give you brainliest​

Answers

Answer:

SA=3

Step-by-step explanation:

9/11.7=10/x

9x=117

117/9=13

13-10=3

Answer:

3 ft

Step-by-step explanation:

Use ratios:

SB/TB = SA/TC10/9 = SA/2.7SA = 10*2.7/9SA = 3 ft
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