given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.

Answers

Answer 1

Answer:

Side A = 25 in

Side B = 14 in

Side C = 17 in

Step-by-step explanation:

Perimeter of a triangle = 56 in

Side B = x

Side A = 2x - 3

Side C = 1/2x + 10

Perimeter of a triangle = side A + Side B + side C

56 = (2x -3) + x + (1/2x + 10)

56 = 2x - 3 + x + 1/2x + 10

56 + 3 - 10 = 2x + x + 1/2x

49 = 3 1/2x

Note: 3 1/2x = 3.5x

49 = 3.5x

x = 49/3.5

x = 14 in

Side B = x = 14 in

Side A = 2x - 3

= 2(14) - 3

= 28 - 3

= 25 in

Side C = 1/2x + 10

= 1/2(14) + 10

= 7 + 10

= 17 in


Related Questions

help I will give brainless to whoever answers correctly​

Answers

Answer:

The answer to this question is 9cm^2, the second answer

Step-by-step explanation:

To find the area of this parallelogram, you have to first find the area of one of the two triangles shown. The formula to solve a triangle is (base * height)/2, so that would be 4.5cm^2 for each triangle, times two for two triangles would be 9cm^2. If you wanted to do it an easier way, just multiply the length of the bottom of the parallelogram with the height. The measures telling you 3.5 are telling you the length of the diagonal line, so don't pay attention to that.  

HELPPPP PLEASEE!!!



In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. What is the domain of the exponential function that represents the situation if

1990 represents year 0?


a. y _> 2,466,000

b. all real numbers

c. y_> 0

d. x _>0

Answers

Answer:

answer is b they all add up

Step-by-step explanation:

The domain of the exponential function can take values is option (B) all real numbers is the correct answer.

What is an exponential function?

Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.

For the given situation,

In 1990, Jamaica's initial population,P₀ = 2,466,000

Rate of population growth,r = 1.1% = 0.011

Let x be the number of years

Then the population growth can be written as

[tex]P(x)=P_{0}(1+r)^{x}[/tex] ------- (1)

Now substitute the above values,

⇒ [tex]P(x)=2466000(1+0.011)^{x}[/tex]

For x=0,

⇒ [tex]P(0)=2466000(1+0.011)^{0}[/tex]

⇒ [tex]P(0)=2466000(1)[/tex]

⇒ [tex]P(0)=2466000[/tex]

If we need to find the population growth in future years, we need to use positive values of x.

If we need to find the population growth in past years, we need to use negative values of x.

If we need to find the intermediate values, then we need to use rational numbers.

Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.

Learn more about an exponential function here

https://brainly.com/question/12377120

#SPJ2

Factor 16a + 72 to identify the equivalent expression

Answers

Hey there, thanks for posting your first question!

If you're asked to factor a polynomial, you need to look for the

greatest common factor between the terms that are involved.

The greatest common factor of 16a and 72 is 8 because 8

is the largest number that can divide into both 16 and 72.

The "a" doesn't qualify because it doesn't appear in every term.

So the 8 factors out.

When that happens, we are left with each term divided by that 8

inside a set of parenthses, I'll show you what I mean.

So we have 8(2a + 9).

I divided the 16a by the 8 and 72 by the 8 and if you

distribute it back you will end up with the original polynomial.

So our answer 8(2a + 9).

can someone check behind me if both of these graphs have a slope of 3?

Answers

it looks like it is 5/3 for line E and 2/1 for line D.

Answer:

No. The slope of Line E is 3/2, and the slope of Line D is 6/8.

Step-by-step explanation:

For line E, let's find two points that the lines go through: (0,4) and (30, 24).

m=30-0/24-4

m=30/20

m= 3/2 or 1.5

Line E does not have a slope of 3.

Line D goes through these two points: (8,9) and (16,15).

m=15-9/16-8

m=6/8 or 0.75

Line D doesn't have a slope of 3.

simplify the problem (2y−6)^2

Answers

Answer:

4y^2-24y+36

Step-by-step explanation:

Expand the expression to simplify, which you do by using the FOIL method, then combining like terms.

(a-b)(a-b) = a^2 - 2ab + b^2

(2y-6)^2

= (2y-6)(2y-6)

= 4y^2 - 12y + 36

is a rule that assigns each value of the independent valable to
one value of the dependent variable.
Answer here

Answers

Answer:

For different x values ,we get unique y value. So, Yes the Statement is true that , A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

Simplify: (9x^5)(4x^4)

please show your work so i can see how to do this thank you <3

Answers

9x^5 • 4x^4
9•4= 36
X^5+4= x^9
Your answer is 36x^9

Draw the line y=4 on the grid

Answers

Answer:

you would need a graph to graph the equation

Step-by-step explanation:

Answer:

I think this help you to draw

Write a linear function that relates y to x using the table
(-2,5) (0,4) (2,3) (4,2)​

Answers

y-5=-1/2x(x+2) because thats it

Jessica ran 6 miles in 2 1/2 hours what is her speed in miles per hour?

Answers

Answer:

2.4 miles per hour

Step-by-step explanation:

Please help! What are the independent and dependent variables of this problem?

Answers

Answers:

Independent Variable = time = tDependent Variable = height = h(t)

======================================================

Explanation:

The horizontal axis always represents the independent variable. Often it is x, but in this case, it's t. The time value does not depend on the height. Time does it's own thing.

The height depends on the time value. The vertical axis, or y axis, is always representing the dependent variable. The notation h(t) helps us see that h must be paired with t, in order to find the value of h so to speak. As the time value changes, so does the height of the ball.

Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?

A) 42
B)45
C)32​

Answers

Answer:

42 a

Step-by-step explanation:

brailest plz

She has 42, please mark brainliest on the way to most Brainly person

LAST TIME can someone explain how YOU FOUND OUT TAIWAN HAS 928 CASES, PLEASE HELP ME

Answers

Answer:

you minus them

Step-by-step explanation:

Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and JK=x-4.

Answers

Answer:

x=20

Step-by-step explanation:

(12+6)/(8+x-4) =6/8

18/(x+4)=6/8

6(x+4) =(18)(8)

(x+4) =(18)(8)/6

x+4 =(3)(8)

x+4=24

x=-4+24

x=20

A data set consists of 6 different whole numbers. The difference between the largest value and the smallest value is 21 and the median is 40. What is the largest possible mean of this data set?

Answers

Answer:

We have a data set with 6 whole numbers:

{A, B. C, D, E, F}

The median, in this case, will be the mean of the two middle numbers, C and D.

Median = (C + D)/2 = 40

We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:

F - A  =21.

And the mean will be:

Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:

(C + D)/2 = 40

Here we can just take:

C = 39

D = 41

Now our set is:

{A, B, 39, 41, E, F}

Now, A and B should be the largest possible whole numbers (and they must be smaller than 39

The two options are:

B = 38

A = 37

Now our set is:

{37, 38, 39, 41, E, F}

Now, remember that:

F - A = 21

F - 37 = 21

F = 21 + 37 = 58

Then our set will be:

{37, 38, 39, 41, E, 58}

And for E, we should pick the largest number that we could.

In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.

The largest number that meets those conditions is the number 57.

Then our set will be:

{37, 38, 39, 41, 57, 58}

And the mean of this set is:

Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45

Harriet has an 8.5-inch-by-11-inch sheet of paper. She brings the short edges together to create a cylinder and adds a top and bottom base Round answers to the nearest tenth of a unit. What is the diameter of harriet's cylinder? What is the total surface area of harriet's cylinder? What is the volume of harriet's cylinder?

Answers

Answer:

dunno

Step-by-step explanation:

dunno

IJK ~ QSR. What is m<K?

m<K = ___° ​

Answers

34° is your answer as they are similar figures

Is it h=108 or g=108?

Answers

Answer:

g=108

Step-by-step explanation:

g=108 answer for this problem

Pleaseee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 34º

Step-by-step explanation:

one of the rules of parallelograms is that opposite angles equal each other,

so x = 34º

Answer:

X = 34

Step-by-step explanation:

GIVEN

I WILL GIVE BRAINIEST
Rhiana has a spinner, which is divided into four equal parts. The parts are numbered 1,2,3,4. If rhiana spins the spinner and tosses a coin, which table shows all possible outcomes?

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

HELP ASP Which two students' shapes represent equivalent fractions?

Answers

Answer:

I think its A

Step-by-step explanation:

I just took this test

Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.

Answers

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

i cant remember how to do this ​

Answers

Answer:

z = 80°

Step-by-step explanation:

ABCD ~ FECG

∠F ≅ ∠A = z

∠F = 360-100-60-120=80

z = 80°

Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?

Answers

Answer:

18

Step-by-step explanation:

what is ³/8 of 1 dollar​

Answers

Answer:

Step-by-step explanation:

A dollar is 100 cents

3/8 = .375

0.375 * 100 = 37.5

Rounded it is 38 cents.

slove -4(x-2)=5(3x-8)

Answers

X=2.526 or X=48/19 !

Find the missing dimension of a triangle with a base of 14.2 yd and a area with 63.9 yd

Answers

Answer:

area : 63.9

b : 14.2

write equation of area of a triangle

Step-by-step explanation:

area:. 1/2 × B x H

solve for H : H= _2x_area_

B

Substitude values : _H = _2×63.9___

14.2.

Evaluate : H = 9

help me for brainlist

Answers

Answer:

1. g. $0.10 per square inch

2. c. $0.08 per square inch

3. f. $10

4. m. $8

5. h. 79 in²

6. j. 113 in²

Step-by-step explanation:

1. A = πr²

   r = diameter ÷ 2 = 10 ÷ 2 = 5

   A = π(5)² = 25π in² ≈ 78.53981

   $8.00/25π = $0.10 per square inch

2. A = πr²

   r = diameter ÷ 2 = 12 ÷ 2 = 6

   A = π(6)² = 36π in² ≈ 113.0973355

   $10.00/36π = 0.088419 = $0.08 per square inch

3. information/answer was provided

4. information/answer was provided

5. A = πr²

   r = diameter ÷ 2 = 10 ÷ 2 = 5

   A = π(5)² = 25π in² ≈ 79 in²

6. A = πr²

   r = diameter ÷ 2 = 12 ÷ 2 = 6

   A = π(6)² = 36π in² ≈ 113 in²

What is the focus of the parabola y = 10x??

Answers

Answer:

The foci of y=10x would be y-x=1 I do exams and quizzes if your interested :)

Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!

Answers

Answer:

use order of operations, PEMDAS.

p(paranthesis), e(exponents), m(multiplication), d(division), s(subtraction).

3 + 3 x (-4) ÷ 2 ÷ (1 - (-5))

so first work with whats in parenthesis

3 + 3 x (-4) ÷ 2 ÷ 6

now, exponents, we dont have any, so move to multiplication.

3 + (-12) ÷ 2 ÷ 6

now, we will do division

3 + (-6) ÷ 6

3 + (-1)

now add

and you get

2

but 2 isn't an option so i must have done something wrong, but I believe your answer should be B. 3

I hope this helps you!

EDIT: IF ANYONE ELSE IS LOOKING AT THIS FOR HELP THE CORRECT ANSWER IS B. 3

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