with it's formula
Area of Triangle = (1/2)(ab)sin(C) – This formula is used when two sides and the angle in between them are known. It can be obtained from the basic formula, Area of Triangle = 0.5 × base × height. The height with respect to side 'a' can be written in as b×sin(C), where C is the angle between a and b.
Isabel's car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank of gas?
It will be 505.85.
Because 33.5 × 15.1 is 505.85.
33.5x15.1=505.85
505.85 miles is the answer.
I need help plzzzz help me
Randy caught quails at a slower rate
Match each pairs of rational
Answer:
Refer to step-by-step.
Step-by-step explanation:
To find the LCD of the different fractions, we first need to follow the steps of finding the LCD of algebraic fractions.
1st step: Factor
You need to factor out the expressions if they do not have a difference of two squares.
2nd step: Find the LCD of the coefficients.
You need to find the LCD of the coefficients before moving onto the variables.
3rd step: The variable part of the LCD will be every single variable you see, with the highest exponent.
So let's begin, since all the given denominators are already factored out, we can proceed straight to step 2.
[tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex]
Now since we're dealing with the denominators, let's focus on them alone.
The LCD of 9 and 16 is 144
The LCD of variables m² and m is m²
The LCD of variables n and n³ is n²
So the LCD of the algebraic fractions [tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex] is:
144m²n³
Now to the next one.
[tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]
The LCD of 8 and 18 is 72
The LCD of variables [tex]m^{4}[/tex] and m² is [tex]m^{4}[/tex]
The LCD of variable n² and [tex]n^{4}[/tex] is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]is:
[tex]72m^{4} n^{4}[/tex]
Next one we have:
[tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex]
The LCD of 12 and 18 is 36
The LCD of m and m³ is m³
The LCD of n and n is n
So the LCD of the algebraic fractions [tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex] is:
36m³n
Last but not the least.
[tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex]
The LCD of 24 and 16 is 48
The LCD of m and [tex]m^{4}[/tex] is [tex]m^{4}[/tex]
The LCD of [tex]n^{4}[/tex] and n is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex] is:
[tex]48m^{4} n^{4}[/tex]
Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all real numbers x because the exponent of 2 can be any real number When the x-values increases by 1 unit, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.
Answer:
The correct options are 1, 2, 3 and 4.
Step-by-step explanation:
The given function is
[tex]f(x)=2^x[/tex]
The above function is defined for all the values of x.
⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number.
⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
Put x=0, to find the y-intercept.
[tex]f(x)=2^=1[/tex]
⇒The y-intercept is (0, 1).
The value of f(x) is always greater than 0 because powers of 2 are never negative.
[tex]f(x)>0[/tex]
⇒The graph never goes below the x-axis because powers of 2 are never negative.
⇒Therefore the range of the function is all positive real numbers.
Therefore the correct options are 1, 2, 3 and 4.
The True statements about the graph of the function [tex]y =2^x[/tex] are option a), b), c) and d). Refer the below solution for better understanding.
Given :
[tex]y = 2^x[/tex]
Solution :
Domain is all real numbers x because the exponent of 2 can be any real number.
x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
At [tex]x=0[/tex],
[tex]y=2^0=1[/tex]
y intercept -- (0 , 1).
y is always greater than zero because power of 2 never be negative.
Graph never goes below the x-axis because powers of 2 are never be negative.
The range of the function is all positive real numbers.
Therefore all the options are correct.
For more information, refer the link given below
https://brainly.com/question/14418346
Find the value of x, rounded to the nearest tenth.
Answer options: 4.2, 3.7, 4.4, 8.9
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Answer: 8.9
Step-by-step explanation:
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
what’s the domain of f(x)=4x
Answer:
all real values of x
Step-by-step explanation:
The domain is the values that x can take
The domain is all real values of x
Answer:all real numbers
Step-by-step explanation:
What’s 20% as a fraction, 80% as a fraction and 15% as a fraction. Also, what I mean as a fraction is like 20
——-
100
Also how did you convert the percents to fractions. Thank you!
Answer:
see below
Step-by-step explanation:
Percent means out of 100
20% = 20/100 which can be simplified
20/100 Divide by 10 on top and bottom
=2/10 Divide by 2 on top and bottom
= 1/5
80% = 80/100 which can be simplified
80/100 Divide by 10 on top and bottom
= 8/10 Divide by 2 on top and bottom
=4/5
15% = 15/100 Which can be simplified
15/100 Divide by 5 on top and bottom
= 3/20
Which of the following describes a net of the prism
A. Three triangular bases and three rectangular lateral faces
B. Three triangular bases and three triangular lateral faces
C. Two triangular bases and three rectangular lateral faces
D. Two triangular bases in three triangular lateral faces
The answer is C
Explanation; there are 2 triangles and 3 rectangles
The statement that describes the net of the prism is:
C. Two triangular bases and three rectangular lateral faces
Step-by-step explanation:Net of a solid--
A net is a two dimensional figure which can be folded to get a three dimensional figure.
or we may say it is a pattern which is made when we scatter out different faces of the solid or three dimensional figure.
By looking at the given prism we see that it is formed with the help of two triangles and 3 rectangles which are folded in appropriate manner so as to get the prism.The mean of this set of numbers
{20, 30, 40, 50, 60, 70, 80} is??
Answer:
The answer is 50
Step-by-step explanation:
You add up all the numbers and divide the numbers by how many numbers there are.
The answer would be 50!
Find the solutions to the equation below check all that apply 30x^2-26x+4=0
Answer:
A. 1/5
C. 2/3
Step-by-step explanation:
30x^2 - 26x + 4=0
2(15x^2 - 13x + 2) = 0
2(15x^2 - 10x - 3x + 2) = 0
2[(5x(3x - 2) - 1(3x - 2)] = 0
2(5x - 1)(3x - 2) = 0
5x - 1 = 0; x = 1/5
3x - 2 = 0; x = 2/3
Answer:
x = 1/5, x = 2/3.
Step-by-step explanation:
30x^2 - 26x + 4 = 0
15x^2 - 13x +2 = 0
(5x - 1 )(3x - 2) = 0
5x - 1 = 0 or 3x - 2 = 0
x = 1/5, 2/3.
If Mike has m pencils and Jen has 3 more pencils than Mike, how many pencils do they have together?
Answer:
Mike = m pencils
Jen = m + 3 pencils
Total = Mike + Jen
= m+m+3
= 2m+3
Step-by-step explanation:
Solve 5/8 x - 2/3 y = -3 3/4 x + 1/2 y = -4
Answer:
I am not sure that this is a solvable equation.
The perimeter of a parallelogram is 80 meters.the width of the parallelogram is 4 meters less than its length
Answer:
The length is 22 and the width is 18.
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 80. You also know the length is l and the width is w = l - 4.
80 = 2l + 2(l - 4)
80 = 2l + 2l - 8
80 = 4l - 8
88 = 4l
22 = l
This means the width which is 4 meters less is 22 - 4 = 18.
What are the zeros of f(x)=2x^3+3x^2-9x?
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
Jeremy boiled one cup of water and then let it cool at room temperature. The table shows the temperature, in degrees Fahrenheit, of the water after a given number of five-minute intervals. Jeremy used an exponential function to model the temperature w(t), in degrees Fahrenheit, of the water after t intervals.
The question involves predicting the temperature of water after six intervals using an exponential decay function. Without the exact values to form the function, we can infer that the temperature will likely be around option (b) 101°F after six intervals based on the pattern of decrease shown in the provided intervals.
The student's question is about using an exponential function to model the temperature decrease of water as it cools at room temperature.
To solve this problem, one would generally apply the formula for an exponential decay function, which is of the form w(t) = [tex]a * e^{(kt)[/tex], where w(t) is the temperature at time t, a is the initial temperature, e is the base of the natural logarithm, and k is the decay constant. Given the temperatures at specific intervals, one could use these to estimate the constants a and k.
However, without the necessary values to develop an equation, we instead look for the pattern in the temperature's decrease to predict the sixth interval's approximate temperature.
Examining the table provided:
Interval 0: 210°FInterval 1: 167°FInterval 2: 145°FInterval 3: 131°FInterval 4: 121°FWe can see that the temperature is decreasing less with each interval. While it is not explicitly stated, it's reasonable to assume that an exponential decay function would fit this scenario. Without the exact function, we can make an educated guess based on the trend that after six intervals, the temperature will be less than 121°F and likely close to option (b) 101°F.
Which angles are adjacent angels?
A. GMB and FBC
B. CBX and FBC
C. XBG and FBC
D. MBY and FBC
Answer:
CBX and FBC
Step-by-step explanation:
because they both are supplememntary
Adjacent angles share a common vertex and side, and do not overlap. Without a diagram, specific adjacent angles cannot be identified. Angle BAB' being equal to the angle of incidence is relevant to the geometry but does not determine adjacency.
Explanation:Adjacent angles are two angles that have a common vertex and a common side, but do not overlap. By definition, they are next to each other on a plane and their shared side is called the ray. In the given question, we should look for two angles that meet this criteria.
The answer is not directly provided since it seems to be referencing a diagram that we do not have. However, in general, to determine adjacent angles in a diagram, you would look for angles that share a vertex and a common side. For example, if angle GMB and angle FBC shared a side and a vertex, they would be considered adjacent angles.
Given the information that the segment AB' is shared by triangles in two different mediums, and that angle BAB' is equal to the angle of incidence, this does not directly relate to the angles being adjacent but gives insight into the geometry of the situation.
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum?
Answer:
B. 6,700 m
Step-by-step explanation:
Mr. Gephart is traveling from his house to the history museum = 6.7 km
1 km = 1,000 m
so
6.7 x 1,000 = 6,700 m
Answer is B. 6,700 m
Answer:
Step-by-step explanation:
B. 6,700m
Help me with this one please
The answer is:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Why?Since we are working with a right triangle, we can use the Pythagorean Theorem to know the missing side size (Opposite Side).
Pythagorean Theorem formula:
[tex]c^{2}=a^{2} +b^{2}[/tex]
Where:
[tex]c=hypotenuse=73\\a=AdjacentSide=48\\b=OppositeSide[/tex]
So, the opposite side will be:
[tex]OppositeSide=\sqrt{c^{2}-a^{2}}=\sqrt{73^{2}-48^{2}}=\sqrt{5329-2304} \\OppositeSide=\sqrt{3025}=55[/tex]
Then:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Have a nice day!
Answer:
Sin F = 0.7534
Cos F = 0.6575
Tan F= 1.145
Step-by-step explanation:
From the given figure we can see that,
triangle DEF is right angled triangle
Base = DF = 48
Hypotenuse = EF = 73
Height = ED
To find ED
We have ,
Hypotenuse² = Base² + Height²
EF² = DF² + ED²
ED² = EF² - DF² = 73² - 482
ED² = 3025
ED = √3025 = 55
To find Sin (F)
Sin ∅ =Opposite side /Hypotenuse
Sin F = ED/EF = 55/73 = 0.7534
To find Sin (F)
Cos ∅ =Adjacent side /Hypotenuse
Cos F =DF/EF = 48/73 = 0.6575
To find Sin (F)
Tan ∅ =Opposite side /Adjacent side
Tan F = ED/DF = 55/48 = 1.145
What's the 477th number of pi ???
Answer:
Google says 9?
Step-by-step explanation:
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 how far is the bottom of the ladder from the base of the building
Answer:
Step-by-step explanation:
Take 20( cosine of 75 degrees)
the answer is 5 ft
Answer:
5.18 feet
Step-by-step explanation:
We have been given that a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 degrees.
We can see from the attachment that side with 20 feet is hypotenuse and side x is adjacent side to the angle 75 degrees.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
Substitute the given values:
[tex]\text{cos}(75^{\circ})=\frac{x}{20}[/tex]
[tex]\frac{x}{20}=\text{cos}(75^{\circ})[/tex]
[tex]\frac{x}{20}*20=20*\text{cos}(75^{\circ})[/tex]
[tex]x=20*0.258819045103[/tex]
[tex]x=5.1763809[/tex]
[tex]x\approx 5.18[/tex]
Therefore, the bottom of the ladder is 5.18 feet away from the base of the building.
A * blank * of linear equations is two linear equations consider together
Answer:
System of Linear Equations
Step-by-step explanation:
Answer:
System of linear equations
Step-by-step explanation:
5×4=?
is it 20
is it 9
is it 54
Answer:
20
Step-by-step explanation:
But you should know this already...
Find the length of XPY. Leave your answer in terms of pi.
Find the circumference of the circle:
C = 2PIr = 2PI6 = 12PI
Arc XPY is 3/4 of the circle.
XPY = 3/4 x 12PI = 9PI
Any smooth curve connecting two points is called an arc. The length of arc XPY is 9π cm.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
Length of an Arc = 2π×R×(θ°/360°)
where
θ is the angle, that which arc creates at the centre of the circle in degree.
A circle has 360°, while the angle made by arc XY is 90°. Therefore, the measure of the angle made by the arc XPY at the centre of the circle is 270°. Also, the radius of the circle is 6 cm, therefore, the length of XPY is,
Length of XPY = 2π×6cm×(270°/360°) = 9π cm
Hence, the length of arc XPY is 28.2743 cm.
Learn more about the Length of an Arc:
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The sun of two polynomials is -yz^2 - 3z^2 -4y + 4. If one of the polynomials is y - 4yz^2 - 3 ,what is the other polynomial?
Answer:
2yz^2-3z^2-5y+7
Step-by-step explanation:
you find the polynomial difference between the two (remember to distribute the negative sign when opening up the parenthesis of the second polynomial. combine like terms and your left with your answer.
Answer:
3yz^2-3z^2-5y+7
Step-by-step explanation:
got it right on test ! Hello!
Given f(x)=-8x+4 and g(x) = x^2, choose the expression for (f*g)(x)
ANSWER
[tex](f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
EXPLANATION
Given f(x)=-8x+4
and
g(x)=x²
We want to find find an expression for;
[tex]
(f\circ g)(x) = f(g(x))[/tex]
[tex]
(f\circ g)(x) = f( {x}^{2} )[/tex]
We substitute x² into f(x)=-8x+4
This will give us:
[tex]
(f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
[tex]y = x + 2 \\ y = 3x - 2[/tex]
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
x = 2
y = 4
Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x
Answer:
Initial amount: 20
Growth factor: The amount doubles for every integer increase of x
Step-by-step explanation:
I think the equation should be g(x) = 20(2^x) for it to be exponential.
The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.
We can see the amount double by evaluating a few value..
g(0) = 20(2^0) = 20(1) = 20 (initial amount)
g(1) = 20(2^1) = 20(2) = 40
g(2) = 20(2^2) = 20(4) = 80
g(3) = 20(2^3) = 20(8) = 160
This pattern will continue on
Find Chris’s mistake.
A. Step 1
B. Step 2
C. Step 3
D. Chris did not make a mistake
step 2: Chris added the exponents when he should have multiplied them
Answer:
Step 2
Step-by-step explanation:
What type of lines will have no solution in a system of equations?
a: Parallel Lines
b: Intersecting Lines
Answer:
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution.
Parallel lines will have no solution in a system of equations because they never intersect, maintaining a constant distance apart and having the same slope.
In a system of equations, two parallel lines will have no solution. This is because parallel lines never intersect; they have the same slope but different y-intercepts and maintain a constant distance from each other.
According to the theorem if two straight lines do not meet a third line on the same plane, then they do not meet each other, which confirms that they are parallel.
Hence, option (a) 'Parallel Lines' is the correct answer to which type of lines will have no solution in a system of equations. In contrast, option (b) 'Intersecting Lines' represents lines that cross at a single point and have one solution where they intersect, which corresponds to that unique solution of the system.
Given: circle k (O) , m
PL
=80°,
m
PY
=150°
Find: m∠YPL
Answer:
YL=130 (PWP)
m<YPL=65 (Inscribed < th)
Step-by-step explanation:
Answer:
[tex]m\angle YPL=65^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked to find the measure of angle YPL.
Since the degree measure of circumference of a circle is 360 degrees, so we can set an equation to find the measure of arc LY as:
[tex]m\widehat{LY}+m\widehat{PL}+m\widehat{PY}=360^{\circ}[/tex]
Upon substituting our given values in above equation we will get,
[tex]m\widehat{LY}+80^{\circ}+150^{\circ}=360^{\circ}[/tex]
[tex]m\widehat{LY}+230^{\circ}-230^{\circ}=360^{\circ}-230^{\circ}[/tex]
[tex]m\widehat{LY}=130^{\circ}[/tex]
We can see that angle YPL is inscribed angle of arc LY, so the measure of angle YPL will be half the measure of arc LY.
[tex]m\angle YPL=\frac{1}{2}m\widehat{LY}[/tex]
[tex]m\angle YPL=\frac{1}{2}\times130^{\circ}[/tex]
[tex]m\angle YPL=65^{\circ}[/tex]
Therefore, the measure of angle YPL is 65 degrees.