Mathematics High School

What is the perimeter, in meters (m), of ∆PRT?

Answers

Answer 1

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Related Questions

If h(x) = 15x - 171, find h(3)

Answers

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

Pls help this is due today and i have no idea

Answers

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?

Answers

Step-by-step explanation:

[tex]a)[/tex]

[tex]4+5=9 (parts)[/tex]

[tex]b)[/tex] our total is [tex]9[/tex] our boys are [tex]4\\[/tex]

our fraction is [tex]^4/_9[/tex]

[tex]c)[/tex] [tex]^5/_9[/tex]

[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]

so we double [tex]4[/tex] which equals [tex]8[/tex]

[tex]^8/_{18}[/tex]

[tex]e)[/tex] [tex]^{10}/_{18}[/tex]

Brainliest please

In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?

Answers

Answer:

20 by 36

divide and you get answer.

Answer:

1 r8

Step-by-step explanation:

20 ÷ 36 and then u get up answer

Solve by substitution.

x-2y=2
2x-5y=3

I give Brainliest
Please explain step by step.

Answers

// Solve equation [1] for the variable x

[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y

[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.

Answers

The vertex of a parabola is the minimum or the maximum point of the parabola.

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

The equation of the parabola is given as:

[tex]\mathbf{y = ax^2 + bx}[/tex]

For the vertex of the parabola to be in the second quadrant, then the following must be true:

a > 0 and b > 0

Take for instance:

a = 2, and b = 1

So, we have:

[tex]\mathbf{y = 2x^2 + 1x}[/tex]

Rewrite as:

[tex]\mathbf{y = 2x^2 + x}[/tex]

Factor out x

[tex]\mathbf{y = x(2x + 1)}[/tex]

So, the line equation is:

[tex]\mathbf{y = 2x + 1}[/tex]

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

Answers

Answer:

4th one

Step-by-step explanation:

(a−2b)^3 when a=−4 and b=−1\2

Answers

Answer:

- 125

Step-by-step explanation:

Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?

Answers

Answer:

$ 50.00

Step-by-step explanation:

Hope this helps!

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.

Answers

The absolute value function that could represent this situation is:

[tex]|D - 42.67| = 0.002[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

[tex]|D - 42.67| = 0.002[/tex]

A similar problem is given at https://brainly.com/question/24514895

50 Points Per Answer
Create a function in factored form for a roller coaster.

• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)

Answers

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4. The domain of the function is [0, 4].

Use these initial conditions as your guidelines:

f(0) = 250

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?

Answers

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answers

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

what is -3 (x+2) = 16 -x

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

[Distributive Property] Distribute -3: -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides: -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides: -2x = 22[Division Property of Equality] Divide -2 on both sides: x = -11

The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of

Answers

Answer:

2n + 14 = 30

n = 8

Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

Then they said that the sum of 2n + 14 = 30

If you want to find the value of n, subtract 14 from both sides:

2n = 16

Then divide by 2 on both sides:

n = 8

I hope this helps!

Find the perimeter. Simplify your answer.

Answers

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

Find the measure of each angle indicated.
Please show your work

Answers

its 77 because they are the exact same angle, there’s really no equation to be shown but u can find the total angle by adding 77 + 77 !

( ꈍᴗꈍ)
introduction to algebra explain

Answers

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

HELP ME PLEASE!!!!!!!!!!!!

Answers

i frist 1 1 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

you're so cool! I hope you have an awesome day!

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

4-0,9+(-0,11)-(-1,3) PLEASE HELP

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

-4 1/2 + 2 3/4

Guys help me Im having trouble on this EEEEEEEEEE

Answers

Answer: does that “-4” count? 1/2 + 2 3/4 mixed number equations are easy. Switch the other way so it should be 2 3/4 + 1/2. The 2 whole remains. 3 - 1 = 2. Dont subtract the denominator. Final is 2_2/4. Not 100% sure if im correct though, i might need more studying

here is a screenshot please help 15 points

Answers

Length is 2 cm and angle is 135

A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.

Answers

Answer:

9.35

Step-by-step explanation:

because you take 3.5 away from 12.85

Answer:

9.35

Step-by-step explanation:

SAME EXPLANATION PO

Can someone help please no links

Answers

Answer:

-4 or 4 I would have to go with-4!!

Step-by-step explanation:

I hope this helps in any way!!

3 comic books for $6.75

Answers

Answer:

1 comic book for $2.25

Step-by-step explanation:

If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.

Tell me if I'm wrong :)

Answer:

$6.75/3= $2.25 per comic book

Step-by-step explanation:

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]

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