the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used to find the side lengths if the longest side measures 6.2cm?

Answers

Answer 1

let a = longest side
let b = shortest side
let c = third side

P = 14.5
a = 6.2
b = 1/2(a)

P = a + b + c
P = 6.2 + 3.1 + c

P = 9.3 + c

14.5 = 9.3 + c
c = 14.5 - 9.3
c = 5.2

Answer 2

Answer:

9.3+b=14.5

Step-by-step explanation:

Related Questions

What is true about a pseudoscientific idea?

It can be replicated and verified.
It is improved with new information.
It ignores parts of the method within an investigation.
It tries to explain natural phenomena by analyzing, observing, and testing.

Answers

Pseudoscience is when the scientific method is either ignored or not applied correctly, which leads to wrong claims, data and similar issues.

so the solution is It ignores parts of the method within an investigation.

The answer is (C.) It ignores parts of the method within an investigation.

What is pseudoscience?

Pseudoscience is a proposition, a finding, or a system of explanation that is presented as science but that lacks the rigor essential to the scientific method. Pseudoscience can also be the result of research that is based on faulty premises, a flawed experimental design, or bad data.

Among the most notable developments in the history of pseudoscience in the 19th century is the rise of Spiritualism (traced in America to 1848), homeopathy (first formulated in 1796), and phrenology (developed around 1800).

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What is the product of (2t + 1) ( t - 4)?

Answers

The required solution is 2t^2 -7t - 4.

It is required to find the product of the problem.

What is a distributive property?

The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.

Given that:

By the distributive property to find the product of (2t + 1) ( t - 4).

=(2t +1)(t -4)

= 2t^2 + 1t -8t - 4

= 2t^2 -7t - 4

Therefore, the required solution is 2t^2 -7t - 4.

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Final answer:

The product of (2t + 1)(t - 4) is calculated using the FOIL method to be 2t² - 7t - 4.

Explanation:

To find the product of (2t + 1) and (t - 4), we use the distributive property (also known as the FOIL method in this context) to multiply each term in the first binomial by each term in the second binomial. Here is the step-by-step process:

Multiply the first terms: 2t × t = 2t².

Multiply the outside terms: 2t × -4 = -8t.

Multiply the inside terms: 1 × t = t.

Multiply the last terms: 1 × -4 = -4.

Add all the products together to get the final answer: 2t² + -8t + t + -4.

Combine like terms: 2t² - 7t - 4.

Thus, the product of (2t + 1)(t - 4) is 2t² - 7t - 4.

The domain of a radical function is the set of all x for which the radicand is positive. True or false?

Answers

Final answer:

The domain of a radical function is the set of all x for which the radicand is positive.

Explanation:

The statement in the question is almost correct. The domain of a radical function is the set of all x for which the radicand is non-negative, not just positive.

A radical function is defined as a function that contains a radical expression, which is the square root or any higher-order root of a variable or expression. The domain of a radical function is the set of all values of x that make the radicand, which is the expression inside the radical, positive.

For example, let's consider the function f(x) = √(x+3). The radicand x+3 can only be positive for values of x greater than -3. Therefore, the domain of this function is (-3, ∞).

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Which undefined geometric term is described as an infinite set of points that has length but not width?

a. distance
b. line
c. plane
d. postulate

Answers

The answer is a line! :)

Answer: b. line

A line has An infinite set of points that can be placed on it, And its length can go on forever but it has no width.

Perimeter of the rectangular playing field is 470 yards. the length of the field is 5 yards less than triple the width, what are the dimensions of the playing field

Answers

P = 2(L + W)
P = 470
L = 3W - 5

470 = 2(3W - 5 + W)
470 = 2(4W - 5)
470 = 8W - 10
470 + 10 = 8W
480 = 8W
480/8 = W
60 = W <==== width is 60 yards

L = 3W - 5
L = 3(60) - 5
L = 180 - 5
L = 175 <==== length is 175 yards

A company sells songs online for $1.29 per song. If they sold 2000 songs in one day, how much money did they make that day?

Answers

By hypothesis, we know that one song costs $1.29
If they sold 2000 songs in one day, they made 2000 * 1.29 = 2580

So they made $2580 by selling 2000 songs.

Hope this helps! :)

Answer:

its D

Step-by-step explanation:

USA TP

which number is a solution of the inequality?

y>1.9

A.-9
B.-2
C.2
D.1.9

Answers

C. 2 is greater than 1.9

Answer: The answer is C

The sum of negative eighteen and a number is eleven. What is the number?

Which equation could be used to solve the problem?

x - 18 = 11
18 - x = 11
-x + 18 = 11
x + 18 = 11

Answers

-18 +x = 11

rewrite as x-18 =11

x = 11+18 = 29

Answer:

x-18=11

step by step explanation

What plane contains points E, F, and H?
A) The plane on the top of the figure.
B) The plane on the bottom of the figure.
C) The plane on the front of the figure.
D) The plane that passes at a slant through the figure.

Answers

B, the bottom of the figure contains points E, F, and H

Answer:

The answer to your question is B

The plane on the bottom of the figure

Trust me on this its the right answer I had the same question and got it correct!

it is not d it is c i just took the test

Answers

ok so nevermind i won't help

A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.

Answers

circumference = diameter x PI

3300 *3.14 = 10,362 feet

Answer:

Distance around the crater is 10362 feet.

Step-by-step explanation:

Given : A meteor crater is 3300 feet in diameter.

To find : Approximate the distance around the crater. Use 3.14 for pie.

Solution: We have given Diameter = 3300 feet.

Radius = [tex]\frac{Diameter}{2}[/tex].

Radius = [tex]\frac{3300}{2}[/tex].

Radius = 1650 feet.

Circumference = 2 * pi* radius.

Circumference = 2 *3.14* 1650.

Circumference = 3.14 * 3300.

Circumference = 10362 feet.

Therefore, Distance around the crater is 10362 feet.

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
A. y= -1.5x + 6
B. y= 1.5x +6
C. y= 1.5x - 12
D y=2x+6

Answers

We can rule out choice A because the slope for choice A is negative, but the line is not moving downhill (read it from left to right)

We can also rule out choice C as the y intercept is definitely not -12. The y intercept is some positive value above 5, so 6 is probably a good guess or the correct y intercept.

This leaves choice B or choice D. They both have a y intercept of 6, so let's ignore that part. The slopes are different. For choice B we have 1.5 as the slope and choice D we have 2 as the slope.

Pick the two points closest to the line which are (4, 12) and (20,36). Start by using the graph to find the two closest points. Then use the table to confirm that you have the proper numeric values.

Slope formula:
m = (y2-y1)/(x2-x1)
m = (36-12)/(20-4)
m = 24/16
m = 1.5

So this points to choice B as the final answer

Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6

The standard formula of expressing the equation of a line is;

y = mx + b where;

m is the slope

b is the y-intercept

Using the coordinate points (20,36) and (4, 12)

Get the slope:

[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]

The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6

Get the required equation:

[tex]y=mx+b\\y=1.5x + 6[/tex]

Hence the required for the linear model in the scatter plot is y = 1.5x + 6

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Factor this trinomial completely. -6x3 + 26x2 + 20x A. -2x(3x + 5)(x - 2) B. -2x(3x + 2)(x - 5) C. -2(3x + 2)(x - 5) D. -2(3x + 5)(x - 2)

Answers

-6x3 + 26x2 + 20x
= -2x(3x^2 - 13x + 10)
= -2x (3x + 2)(x - 5)

answer
B. -2x(3x + 2)(x - 5)

In the triangle abc, the measure of angle a is 40 degrees, and the measure of angle b is 65 degrees. can abc be a right triangle?

Answers

All three angles of a triangle should add up to 180, no more, no less. 65+40=105, 180-105=75. So, no because the remaining angle has to be 75 degrees,

Two angles form a linear pair. the measure of one angle is eight times the measure of the other angle. find the measure of the larger angle.

Answers

Let's make this into an equation.
x + (8x) = 180
x being the measure of the shorter angle
8x being the measure of the larger angle

So, 9x = 180
x = 20

Now, we replace x for 20
We are looking for the larger angle so we replace x for 20 from 8x

8 (20) = 160
So, the larger angle measures 160 degrees.
I hope this helps.
YOU'RE WELCOME :D

if your average stride length is 2.6 feet how many strides will it take you to walk to grandparents house

Answers

The distance from your house to your grandparents house is 3.67 miles or 19377.6 ft.

So the total number of strides needed would be:

strides needed = 19377.6 ft / (2.6 ft / stride)

strides needed = 7,452.92 = 7,453 strides

Compare the functions below: f(x) = −3 sin(x − π) + 2 g(x) x y 0 8 1 3 2 0 3 −1 4 0 5 3 6 8 h(x) = (x + 7)2 − 1 Which function has the smallest minimum?

Answers

To answer "which function has the smallest minimum," we'll first find the minimum of each one separately.

[1] f(x) = -3 sin(x - pi) + 2. No matter how crazy the inside of a sin function looks, the value of sin itself is always between 1 and -1. So, the minimum value for f(x) is -3*1 + 2 = -1.

[2] g(x). By looking at the table, we see that the minimum value is -1, which occurs when x = 3.

[3] h(x) = (x+7)^2 - 1. Notice that (x+7) is being squared, so the smallest that piece could be is 0 (you can never get a negative number out of (x+7)^2...). So, the minimum value of h(x) is 0 - 1 = -1.

At the end of the day, all three functions have the same minimum value! This can be confirmed on a graph. So, "which function has the smallest minimum value?" all of them!

Answer: 8

Step-by-step explanation:

the posted speed limit in many parts of europe is 100km/hr. what is the equivalent speed limit in miles per hour?

Answers

1 m = 1.609 km 1 km = 0.621371 miles .62 miles x 100 = 62 miles per hour

What is the length of side BC of the triangle?

Answers

3x-3=180 add 3 to both sides 180+3
Rewrite: 3x=183
Divide 3 to both sides 183/3
Rewrite: x=61
To check plug 61 in for c
3(61)-3=180
3(61)=183
183-3=180
183-3=180
180=180
Hope this helps have a nice nite if you need anymore help just let me know

Can you show me the steps for this equation and answerF(x)=(x-3)^2+2

Answers

Let's simplify step-by-step.
(
x
−
3
)
2
+
2
Distribute:
=
x
2
+
−
6
x
+
9
+
2
Combine Like Terms:
=
x
2
+
−
6
x
+
9
+
2
=
(
x
2
)
+
(
−
6
x
)
+
(
9
+
2
)
=
x
2
+
−
6
x
+
11

To solve f(x) = (x-3)^2 +2:
1. Apply the quadratic formula
2. Remeber to expand the equation
You will get x^2-6x+11, and after applying the formula, you will get imaginary numbers. I don't know if this problem is right, sorry.

Simplify (4x3+ 13x − 7) − (6x2+ 9x + 2). −2x2+ 4x − 9 −2x2+ 22x − 5 4x3− 6x2+ 4x − 9 4x3− 6x2+ 22x − 5

Answers

(4x³+ 13x − 7) − (6x²+ 9x + 2)
Remember that if they don't have the same exponents/bases (x²,x³, etc.), then they cannot be grouped together.

This means that 4x³ and 6x² will be left alone because there are no other x² or x³ in the expression.

So first thing you do is distribute. Don't forget about that - in front of the second parentheses.
(4x³+ 13x − 7) − (6x²+ 9x + 2)
(4x³ + 13x − 7) + (−6x² - 9x - 2)
4x³ - 6x² + (13x - 7) + (-9x - 2)
4x³ - 6x² + 4x (- 7) + (- 2)
4x³ - 6x² + 4x - 9

So the answer is:
C. 4x3− 6x2+ 4x − 9

Spencer has a rectangular garden. The length and width are both odd numbers and the perimeter is 16 feet. What can be the area of his garden? Find all possible answers.

Answers

Area of rectangle = length x width

Perimeter of rectangle = 2 x (length + width)

Now we know that perimeter of rectangle = 16

2(length + width) = 16

Length + width = 16/2

Length + width = 8

Now the value of length and width is that if we add both values we have the answer 8.

So, here are some possible values of length and width and also that length and width are odd numbers;

Odd numbers are = 1,3,5,7,….

7 + 1 = 8

5 + 3 = 8

So, either length is 7 and with is 1 or length is 5 and width is 3

So area of rectangle = 7 x 1 = 7 or 5 x 3 = 15

Thus, the possible values of area of rectangle are 7 ft² and 15 ft².

List the next three terms in the following sequence: 1, 2, 4, 8, 16, 32,... a. 48, 80, 128 b. 64, 96, 160 c. 64, 128, 256 d. 46, 92, 184

Answers

C
because they are doubling

C because the numbers multiply by 2

solve the equation -5y-9=-(y-1)

A: -1/2
B: -2, 1/2
C: -2
D: -2/5

Answers

To actually solve this, we can start by using the distributive property to get -5y-9=-y+1. Adding y and 9 to both sides to separate the variable, we get -4y=10. Next, we can divide both sides by -4 to separate the y and get y=-10/4, and since 4/4=1 and 8/4 =2 we can separate it into -2-1/2=-2.5

.
A normal probability plot of the survival times of the guinea pigs in a medical experiment is shown below. Use this plot to describe the shape of the distribution of survival times. Then, explain carefully how this shape is seen in the normal probability plot. That is, make the connection between the normal probability plot and the shape of the data.

https://api.agilixbuzz.com/Resz/~hdAcBAAAAAQ99yZmb7l1SA.XDuW_wcASaP2dYyG_RjrDD/62689880,708,1,1,0/Assets/flvs/apstatistics_v9_gs-xml/res0019/01_16a_e.gif

Answers

the probability plot shows that the guinea pigs that survived increasingly grew quickly, most likely when they started getting all of the guinea pigs done some came along and that is what the staggering points on the grid.

Apply Mathematics (1)(
a. A company’s weekly revenue R is given by the formula R = - p^2+ 30p, where p is the price of the company’s product. The company is considering hiring a distributor, which will cost the company 4p + 25 per week.

Answers

The values of price p for the product to remain profitable must be less than 1 and 25.

The value of P that will maximize the profit is 13.

Maximum function

For the given product to remain profitable, the revenue must continue to be greater than the cost that is R(p) > C(p)

Given the following parameters:

[tex]R(p) = - p^2+ 30p\\C(p)=4p+25[/tex]

If R(p) > C(p), then;

[tex]- p^2+ 30p>4p+25\\p^2-26p+25<0[/tex]

Factorize to get the value of p

[tex]p^2-p-25p+25<0\\p(p-1)-25(p-1)<0\\(p-1)(p-25)<0\\p<1 \ and \ p<25[/tex]

Hence the values of price p for the product to remain profitable must be less than 1 and 25

To maxmimize the profit, dP/dp = 0

Profit = Revenue - Cost

Profit = [tex]- p^2+ 30p - 4p - 25[/tex]

Profit = [tex]-p^2+26p-25[/tex]

Differentiate the function and equate to zero;

[tex]dP/dp = -2p+26\\-2p + 26 = 0\\-2p = -26\\p=13[/tex]

Hence the value of P that will maximize the profit is 13

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What's the answer and how do you do it?

Answers

the vertical asymptotes for a rational expression, occur at the values of "x" that make the denominator 0, and therefore the expression undefined.

what are those anyway? simple, just set the denominator to 0, solve for "x", and that will spit them out.

x + 4 = 0
x = -4

there, if "x" ever becomes -4, then the fraction turns to [tex]\bf \cfrac{1}{x+4}\implies \cfrac{1}{-4+4}\implies \stackrel{und efined}{\cfrac{1}{0}}[/tex]

thus, that's where the vertical asymptote is at, x = -4.

A vertical asymptote is when y gets higher and higher or lower and lower without stopping around a certain point. In a fraction one way this can happen is when there is a point where the denominator is 0, as when it gets close to 0 it gets bigger and bigger, and anything over 0 is undefined. Therefore the answer is A as 1/4-4 is 1/0 and an asymptote

Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?

A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions
Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?

A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions

Answers

It appears that ur lines are coincident.....they lie on top of each other....therefore, they have infinite solutions

4-t=3(t-1)-5 solve the equation

Answers

4 - t = 3t - 3 - 5
4 - t = 3t - 8
4 = 3t - 8 + t
4 = 4t - 8
4 + 8 = 4t
12 = 4t
12/4 = t
t = 3

Answer: t = 3

The length to width ratio of a wide-screen tv is 16:9. if a tv is 30 inches long, how wide is it?

Answers

it is about 16.9 inches wide

around range its about 16.2

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