the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base

Answers

Answer 1

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

The Base Of A Triangle Is Eight Less Than Twice Its Height, If The Area Of The Triangle Is 5cm^2 Find

Related Questions

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

(a−2b)^3 when a=−4 and b=−1\2

Answers

Answer:

- 125

Step-by-step explanation:

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

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.

Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)

How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return

Answers

Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

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

( 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

Please help! ):

For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

Answers

Answer:

(g°f)(x) = 54x^2 - 144x + 101

Step-by-step explanation:

(g°f)(x)= g(f(x)) = g(3x-4) = 6(9x^2 - 24x + 16)+5 = 54x^2 - 144x + 101

How many bagels can you buy for $50?​

Answers

Answer: about 120??

Step-by-step explanation: pls leave a thanks if helped <3

Answer: 120 bagels

Step-by-step explanation:

$50/$5 = 10 dozens of bagels

10 dozens x 12 = 120 bagels in total

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!

С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards

Answers

Answer:

C = 13

Step-by-step explanation:

A²+B²=C²

where c is the hypothenuse

5²+12²=c²

25+144=c²

169=c²

√169 = c

13 = c

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 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

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

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]

Evaluate the expression below.

​5^{0}5
0

Answers

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

help me free brainleist if you help

Answers

Answer:

4th one

Step-by-step explanation:

slope and y intercept for 2y-8=6x

Answers

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

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]

Read more about parabolas at:

https://brainly.com/question/20333425

Find the lowest common multiple (LCM) of 18 and 21.

Answers

LMC (18,21) = 126

ok done. Thank to me :>

-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

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!

Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.

Answers

12416162526252662352662727272

The hypotenuse of a right triangle measures 19 cm and one of its legs measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

18.9

Step-by-step explanation:

32is ​0.2% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than ​32, slightly less than ​, slightly greater than ​32, or a lot greater than 32 ​? Explain

Answers

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

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 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 !

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

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

polynomials functions please help

Answers

Answer:

Step-by-step explanation:

Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

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