What does a 30 60 90 triangle look like?

Answers

Answer 1

The 30-60-90 triangle is shaped like half of an equilateral triangle.

A special right triangle with angles 30°, 60°, and 90° is called a 30-60-90 triangle. Since 30° is the smallest angle in the triangle, the side opposite to the 30° angle is always the smallest.

The side opposite to the 60° angle is the longer leg, and finally, the side opposite to the 90° angle is the largest side of the right triangle, also known as the hypotenuse.

30°-60°-90° Triangle Rule:

In a 30-60-90 triangle, we can find the measure of any of the three sides by knowing the measure of at least one side in the triangle. This is known as the 30-60-90 triangle rule.

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Related Questions

need help with #7 a and b. i’m in Algebra 1 and this is lesson 5 Exponential Algebra and Functions.

Answers

There is no upper limit if the ratio raises x to a higher power. The limit is 0 if the ratio causes the power of x to be reduced to zero.

A ratio is what?

A ratio is an expression for an ordered pair of numbers, a and b, where b is not equal to zero and the expression is written as a/b. A ratio is created by combining two ratios. Assuming a ratio of one boy to three girls, this would suggest that 3/4 of the population is female and only 1/4 is male. A part can be an amount, a percentage, or the difference between two or more objects.

Here,

The ratio of, say, the highest-degree words serves as the upper bound as x grows.

There is no upper bound on how much the ratio can raise the power of x. The limit is 0 if the ratio causes the power of x to be reduced to zero.

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Now, you do the math: Tell us if you can afford the apartment using the details below. . Your gross paycheck is $2100 per month. . You're looking at a very small one-bedroom apartment that rents for only $650 per month . The electric bill runs about $60 per month for power. . You'll pay about $10 per month for gas. . An Internet line will cost you $20 per month. . You have to rent a parking space for your old buggy at $20 per month. Can you afford to get this apartment? O Yes. O No. If no, how much can you afford to pay in rent plus housing expenses? $ Submit​

Answers

Answer:

the answer it clearly no I use foolproof and i try and put yes but it wont let me pass but i dont understand why no

Step-by-step explanation:

No, the amount should be $700.

What is Gross Pay?

Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given:

Gross Pay = $2100 per month.  

Maximum amount that can be spend on rent and housing expenses is

= 1 by 3 × $2100

= $700

Now, Total Expenses per month  

= Rent + Electricity bill + Gas + Internet line + Parking space  

=  $650 + $60 + $10 + $20 + $20  

= $760

No, I am unable to purchase this property since my monthly expenses exceed the maximum budget for rent and housing costs, which is $700.

According to the monthly amount authorised for the same, we can only pay a maximum of $700.

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find the value of x
answer options
9,15,10,14​

Answers

Answer:

14

Step-by-step explanation:

Hope this helps

Music, in 2001, full-length cassettes represented 3. 4% of total music sales. Between 2001 and 2006, the percent decreased by about 0. 5% per year.


a. Write an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006


b. Find the percent of recorded music sold as full-length cassettes in 2004

Answers

a) An equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 : y = -0.5x + 3.4

b) The percent of recorded music sold as full-length cassettes in 2004 = 1.9%

As, between 2001 and 2006, the percent of recorded music sold was decreased by about 0. 5% per year.

This means, the slope m = -0.5

In 2001, full-length cassettes represented 3. 4% of total music sales.

This means the y-intercept would be c = 3.4

So, an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 would be,

y = mx + c

Substituting value of m and c,

y = -0.5x + 3.4

Now  to find the percent of recorded music sold as full-length cassettes in 2004

Here, the number of years x would be

x = 2004 - 2001

x = 3

So, the percent of recorded music sold would be,

y = (-0.5 × 3) + 3.4

y = 1.9%

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A tudent aid -5 i le than -4 and |n | -5 | i le than | -4 | i the tudent correct? jutify your reaoning

Answers

The student is partially correct as -5 is less than -4 but ln |-5| is not less than ln |-4|.

What is reasoning?

We can ascertain the veracity of the supplied propositions using mathematical reasoning, often known as the mathematical reasoning principle.

A student said that -5 is less than -4.

This statement is correct and the reasoning is -

According to the number line, 0 is the midpoint.

From 0 to the right side of infinity the digits increases.

So, 1 is bigger than 0, 2 is bigger than 1, 3 is bigger than 2, and so on.

Similarly, from 0 to the left side of negative infinity the digits decreases.

So, -1 is smaller than 0, -2 is smaller than -1, -3 is smaller than -2, and so on.

The student also said that ln |-5| is less than ln |-4|.

This statement is false and the reasoning is -

First simplify ln |-5| and ln |-4| -

ln |-5| = ln (5)

ln (5) = 1.6094

ln |-4| = ln (4)

ln (4) = ln (2^2)

ln (2^2) = 2 ln (2)

2 ln (2) = 1.3862

Therefore, the student is partially correct.

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The circumference of a circle is 13.3(pi symbol) ih eget is the radius of the circle
A)3.9in
B)5.75 in
C) 6.15 in
D)10.1 in

Answers

Answer:

I think 6.15in is the answer (hope u get it right)

Step-by-step explanation:

FIND THE SUM OF ALL NATURAL NUMBERS FROM 1 TO 100 (ARITHMETIC PROGRESSION)

Answers

Answer:

According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.

Pls help quickly
Needed as soon as possible thank you in advance

Answers

a) Bearing from A to B is 253°.

b) Bearing from B to A is 287°.

What is a bearing?

A bearing is an angle measured clockwise from north in mathematics. Typically, bearings are expressed as a three-figure bearing.

a)

The bearing of 73° and the co-interior angle formed must total 180°. The counter-clockwise angle from B to A is 107°.

However a bearing must always be measured clockwise from north. 107° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 107° from 360°.

360° – 107° = 253° and so, the bearing of A from B is 253°.

b)

The bearing of 107° and the co-interior angle formed must total 180°. The counter-clockwise angle from A to B is 73°.

However a bearing must always be measured clockwise from north. 73° is counter-clockwise from north.

The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.

To work the bearing, subtract 73° from 360°.

360° – 73° = 287° and so, the bearing of B from A is 287°.

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Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
10
9-
8
7
6
5
4
$
0
7
6
5
4
3
1 2 3 4 5 6 7 8 9
O
x

Answers

A trapezoid will appear smaller than the original trapezoid if it is dilated with a scale factor between 0 and 1.

What shape is a trapezoid?

An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.

What are a trapezoid's three characteristics?

What three characteristics do trapezoids have? An isosceles trapezoid has equal base angles and diagonals. The midpoints of the two opposing sides are parallel to the point where the diagonals intersect. An isosceles trapezoid has opposite sides that are congruent to one another or have the same length.

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Find the approximate number of grams of milk fat in a 200-gram serving of whole milk.

Answers

The answer is :6.5g

Kristen worked 45 hours last week and made $9.25 per hour. Then she babysat her cousins from Friday to Sunday and made $50.00 per day. How much money did Kristen make?
A $416.25
B $462.50
C $566.25
D $150.00

Answers

Answer:c

Step-by-step explanation:45x9.25=416.25. 50x3=150. 416.25+150=566.25

would this be sin, cos, or tan?

Answers

Answer:

tan

Step-by-step explanation:

its the opposite over adjacent

Answer:

tan

Step-by-step explanation:

sinx=Opposite/adjacent

Tanx=8.78/12

Simplify algebraic expression

Answers

Answer:

1

Step-by-step explanation:

To start, we will substitute 8 in for w. So, we get:

[tex]5 - \frac{32}{8}[/tex]

Then, we simplify our fraction, giving us:

5 - 4

Then, 5 - 4 = 1. So our answer is 1.

Hope this helped!

Answer:

5 - (32/w) = 1

Step-by-step explanation:

Given expression,

→ 5 - (32/w)

Now we have to use,

→ w = 8

Let's solve the expression,

→ 5 - (32/w)

→ 5 - (32/8)

→ 5 - (4)

→ 5 - 4

→ 1 => final value

Therefore, the answer is 1.

What is the difference of the first and third quartiles in 1. 96, 2. 09, 01. 79, 1. 61, 1. 75, 2. 11, and 1. 84

Answers

The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26

What is the difference of the first and third quartiles ?

The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.

In this specific dataset, you would need to sort the values first in increasing order:

1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11

The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79

The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05

so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26

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Ordena el siguiente Polinomio de forma ascendente con relacion a x: x4y – 7x2y3 – 5x5 + 6xy4 + y5 – x3y2

Answers

Answer:

El polinomio ordenado de forma ascendente y con relación a [tex]x[/tex] es [tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex].

Step-by-step explanation:

El polinomio está en términos de dos variables: [tex]x[/tex], [tex]y[/tex]. Puesto que necesitamos ordenar el polinomio con relación a

[tex]p(x, y) = \Sigma\limits_{i = 0}^{n} \,c_{i} (y)\cdot x^{i}[/tex] (1)

Where:

[tex]i[/tex] - Índice i-ésimo del polinomio asociado al polinomio i-ésimo.

[tex]c_{i}(y)[/tex] - Coeficiente i-ésimo en función de [tex]y[/tex].

[tex]x, y[/tex] - Variables independientes.

[tex]p(x,y)[/tex] - Variable dependiente.

[tex]n[/tex] - Grado del polinomio.

A partir de esto y comparando (1) con la expresión del enunciado, encontramos que el último está formado por seis monomios y tiene grado 5. Al aplicar las propiedades algebraicas correspondientes tenemos que:

[tex]p(x,y) = y^{5}+6\cdot y^{4}\cdot x -7\cdot y^{3}\cdot x^{2}-y^{2}\cdot x^{3}+x^{4}\cdot y -5\cdot x^{5}[/tex]

What is the formula of polynomial?

Answers

The general formula of a polynomial is:

P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0

A polynomial is a mathematical expression consisting of variables (such as x), coefficients, and exponents. The general formula of a polynomial is P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0. Here, a_n, a_(n-1), ... , a_2, a_1, and a_0 are coefficients, and n is the degree of the polynomial. The highest exponent in the polynomial is the degree of the polynomial. For example, in the polynomial 3x^2 + 5x – 8, x^2 is the highest exponent, so the degree of the polynomial is 2. The coefficient of the highest exponent is known as the leading coefficient. In the example above, 3 is the leading coefficient. Polynomials can be used to represent a variety of functions, from simple linear equations to complex curves.

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Plz help no link PLZ NO LINKSSSS THANK YOU

Answers

Answer: HHHHHMMM DEPENDING ON MY BRAIN IT IS 6

sorry if im wrong

Step-by-step explanation:


Calculate the area of a circle with a radius of 2.3 cm.

Answers

Answer:

16.62 cm²

Step-by-step explanation:

A = πr² is the appropriate equation here.

If r = 2.3 cm, then A = π(2.3 cm)² = 16.62 cm²

What is y=-6x+2 in standard form

Answers

y = - 6x + 2

y - 2 = - 6x

-y - 2 all divided by 6 = x

x = - y -2 all divided by 6

can anyone solve it use translation if found necessary.​

Answers

On solving the provided, we can say that - here in graphs by solving the equation - [tex]x^2 + y^2 = > 2^2 = > 4[/tex]

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here from graph,

x= 0

and y = 2

so, in equation

[tex]x^2 + y^2 \\2^2\\4\\[/tex]

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On a long hike Sam drink 7 pints of water how much did he drink in quarts

Answers

Answer:

3 quarts and 1 pint

Step-by-step explanation:

2 pints equal 1 quart

find x pah lease and thank you

Answers

Answer: x=4

Step-by-step explanation: x+3=2x-1, then you do simple algebra

Please give me a step by step explanation

Answers

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

x2 - 4x + 4 = 20 please helpppppppp

Answers

Answer:

6.472

Step-by-step explanation:

Answer:

x = 2 ± 2√5     Exact solution

x = {-2.472, 6.472}    Decimal approximation

Step-by-step explanation:

x² - 4x + 4 = 20

Subtract 4 from both sides

x² - 4x = 16

Complete the square using half the x coefficient, (-4/2 = -2),  as the complete the square term

(x - 2)² = (-2)² + 16

(x - 2)² = 20

Take the square root of both sides

x - 2 = ±√20

x - 2 = ±2√5

Add 2 to both sides

x = 2 ± 2√5     Exact solution

x = {-2.472, 6.472}    Decimal approximation

---------------------

Note this could also be solved using the quadratic formula

The graph of y = x2 has been translated 7 units to the left. The equation of the resulting parabola is _____.

Answers

The equation of the parabola after the translation is:

g(x) = (x - 7)^2

What is the equation for the resulting parabola?

We know that we start with a parabola of the form:

y = x^2

Now we know that the parabola has been translated 7 units to the left.

Remember tht for a general function y = f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N > 0, the translation is to the left.if N <0, the translation is to the right.

So a translation of 7 units to the left is written as:

g(x) =f(x - 7)

g(x) = (x - 7)^2

That is the equation of the parabola after the translation.

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What is the volume of the rectangular prism? 5/4 5/2 3​

Answers

The rectangular prism's volume is equal to [tex]$V=9.375 \mathrm{~m}^3$[/tex]. Prism volume (V) is equal to B ×h, where h is the prism's height and B is the area of the base.

What is the formula to rectangular prism?

1.25 metres in length, 2.5 metres in width, 3 metres in height, and a diagonal length of 4.10030487 metres make up the total surface area. [tex]$\mathrm{S}_{\text {tot }}[/tex]=[tex]28.75 \mathrm{~m}^2$[/tex] , Latitudinally exposed area [tex]$S_{\text {lat }}=22.5 \mathrm{~m}^2$[/tex] , maximum surface area is [tex]$S_{\text {top }}=3.125 \mathrm{~m}^2$[/tex] , surface area of the ground is [tex]$S_{\text {bot }}=3.125 \mathrm{~m}^2$[/tex] so that the volume is [tex]$V=9.375 \mathrm{~m}^3$[/tex]

When determining the volume of a rectangular prism , we multiply its length, width, and height. The base's area multiplied by the height gives the rectangular prism its volume. Length, width, and height are the cubic units that make up a rectangular prism's volume. Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. Size times width equals the base's area, B.

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Examine the graph of the function. The graph of a line that contains points (negative 1, 7), (0, 5), and (2, 1). © 2017 StrongMind. Created using GeoGebra. What is the initial value of the function? Enter your answer as a number, like this: 42

Answers

The initial value of the function is equal to 5.

How to determine the initial value of the function?

In order to determine the initial value of the function, we would have to find the slope from line graph and then write the required equation based on the data points contained in the table by using the slope-intercept form.

Mathematically, the slope-intercept form of a line is modeled by this mathematical equation:

y = mx + c

Where:

m represents the slope.x and y are the data points.c represents the y-intercept or initial value.

Next, we would determine the slope of the data points as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 7)/(0 + 1)

Slope, m = -2/1

Slope, m = -2.

At point (0, 5), an equation of this line can be calculated in slope-intercept form as follows:

Note: The y-intercept or initial value is equal to 5.

y = mx + c

y = -2x + 5

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15 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?
A. domain: {–∞ < x < ∞}; range: {y < 2}
B. domain: {–∞ < x < ∞}; range: {y ≤ 2}
C. domain: {x ≤ 2}; range: {–∞ < y < ∞}
D. domain: {x ≥ 2}; range: {–∞ < y < ∞}

Answers

Answer:

C. domain: {x ≤ 2}; range: {–∞ < y < ∞}

that's the right answer pramis:)

The answer is B because there is a y-value for every X and at 2 is a closed dot meaning there is a value of 2 for Y. Also what does It mean?

Let f(x)=5x and g(x)=sinx and h(x)=g(f(x))=sin(5x) What is h’(x)?

Answers

Answer:

Step-by-step explanation:

Derivation of composite functions concept.

h'(x)=g'(f(x))·f'(x)=(sin(5x))'×(5x)'=cos(5x)×5=5cos(5x)

Two points (2, 10) and (-4,4) lie on a
line. What is the y-intercept of that
line?

Answers

Answer:

The y-intercept is 8.

Step-by-step explanation:

[tex]\frac{2+4}{10-4\\} \\\frac{6}{6} =1\\\\\\slope=1\\1(2)+y=10\\2-2+y=10-2\\y=8[/tex]

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