Answer:
The answer is B 48 cm squared.
Step-by-step:
First divide into smaller sections. Then you will do Length times height.
9 x 4 = 36
6 x 2 = 12
36 + 12 = 48
Select all equations that have infinitely many solutions.
A)4+4x-9=8x+4(x-9)
B)9(3x-5)+7=-3(7-8x)
C)8x+4=2(4x+2)
D)4(x-3)+7=x-(5-3x)
Answer:
The answer is C
Explanation:
8x + 4 = 8x + 4
x = x
At a festival 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls, how many children were at the festival in all?
Answer:
Boys = 150
Girls = 315
Total Boys and Girls 465
Step-by-step explanation:
We call x the number of boys and we call y the number of girls.
So we have to find the total number of children
We know that
[tex]\frac{2}{7}y = \frac{3}{5}x[/tex]
[tex]x =y-165[/tex]
Now we substitute the second equation in the first and solve for y.
[tex]\frac{2}{7}y = \frac{3}{5}(y-165)[/tex]
[tex]\frac{2}{7}y = \frac{3}{5}y-99\\\\99 = \frac{3}{5}y-\frac{2}{7}y\\\\\frac{11}{35}y=99\\\\y = 315\\[/tex]
Now we find x.
[tex]x = 315-165 = 150\\\\x = 150[/tex]
Finally we have that:
Boys = 150
Girls = 315
Total Boys and Girls 465
How many solutions does the system have?
A. Exactly one solution
B. No solution
C. Infinitely many solutions
Answer:
B. No solution
Step-by-step explanation:
y = 3x+9
y = 3x-7
Set the two equations equal since they are both equal to y
3x+9 = 3x-7
Subtract 3x from each side
3x+9-3x = 3x-7-3x
9 = -7
This is never true, so there are no solutions
Answer: on edge its one and then after that 0,-3
Step-by-step explanation:
Simplify the following expression (3x^2y)^3
Answer:
[tex]\large\boxed{\left(3x^2y\right)^3=27x^6y^3}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3[/tex]
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Random answers will be reported!
I believe it is C, there is a geometric law that states that the opposite angles across a line with both going into parallel lines will be the same angle. Rather confusing but a video online would likely explain it better than anyone could here.
Answer:
Option C. 0.5
Step-by-step explanation:
In the given diagram, AB is parallel to DE, and line AE is the transverse.
So ∠DEF ≅ ∠FAB [ Alternate angles ]
and ∠EFD ≅ AFB ≅ 90° [ Vertically opposite angles ]
So, Third angle of the triangles will also be equal.
Since angles DEF and FAB are equal so their sine values will also be equal.
Therefore, sinA = sinE = 0.5
Option C). 0.5 will be the answer.
Write and solve an equation to find the measurements of acute angle npo
We can solve for an acute angle in a right triangle if we know the other two angles. In the given hypothetical example, we assumed one angle was 30 degrees and the other was 90 (a right angle). We then subtracted these angles from 180 (the sum of all angles in a triangle) to find the acute angle NPO.
Explanation:To solve for the acute angle NPO, we would typically need more specific information about the properties of the figure in question. However, let's suppose that triangle NPO is a right triangle and one of the given angles is 30 degrees. In this case, we can use the knowledge that the sum of all angles in a triangle equals 180 degrees.
Therefore, we set up an equation: 30 (degree of the given angle) + 90 (degree of the right angle) + X (angle NPO to be found) = 180. Solving for X gives us that NPO = 180 - 30 - 90 = 60 degrees.
Please remember that solving for an acute angle typically requires specific information about the figure and not all problems are as simple as this example demonstrates.
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A linear pair involves adjacent angles formed when two lines intersect. In this context, <NPO is 40°, and <SPR is 50°, adhering to the linear pair property.
A linear pair is formed when two lines intersect at a single point, creating two adjacent angles. If these angles align in a straight line, they constitute a linear pair, and the sum of their measures is always 180°. These angles are often termed supplementary or additional angles.
In the given scenario, angle <QPO is provided as 140°. According to the linear pair property, the angle <NPO supplementary to <QPO forms a straight line, and their sum equals 180°. Therefore, <NPO is calculated as 180° - 140°, resulting in <NPO being 40 degrees.
Moving on to the second part, three angles <SPN, <SPR, and <RPQ are considered. Applying the linear pair property, the sum of these angles is 180°. Given that <SPN is 90° and <RPQ is already known as 140°, the calculation involves finding <SPR. Thus, 90° + <SPR + 40° equals 180°. Solving for <SPR, it is determined to be 50 degrees.
In summary, for the provided angles:
a) <NPO is found to be 40 degrees.
b) <SPR is determined as 50 degrees through the linear pair property.
The question probable may be:
7.What is the measure of Angle NPO?
8.What is the measure of Angle SPR if the measure of Angle RPQ is 40°?
A line passes through the points (2,4) and (-4,-1). Find its equation in slope-intercept form. (2 points, 1 for work, 1 for equation)
The answer is:
The equation of the line in slope-intercept form:
[tex]y=\frac{5}{6}x+\frac{7}{3}[/tex]
Why?To find the equation in slope-intercept form, we need to follow the next steps:
Find the slope of the line:
Using the slope formula, we have:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points:
[tex](2,4)\\(-4,-1)[/tex]
So, substituting we have:
[tex]m=\frac{(-1)-(4)}{-4-2}[/tex]
[tex]m=\frac{-5}{-6}[/tex]
[tex]m=\frac{5}{6}[/tex]
Find the "b" value:
Now that we know the value of the slope, we can write the equation of the line:
[tex]y=\frac{5}{6}x+b[/tex]
In order to find "b" we need to substituite any of the given points, we know that line is thru both of the given points, so, substituting (2,4) we have:
[tex]4=\frac{5}{6}*2+b\\\\4=\frac{10}{6}+b\\\\4=\frac{5}{3}+b\\\\b=4-\frac{5}{3}=\frac{(3*4)-5}3}=\frac{12-5}{3}=\frac{7}{3}[/tex]
Now that we know the slope and "b", we can write the equation of the line in slope-intercept form:
[tex]y=\frac{5}{6}x+\frac{7}{3}[/tex]
Have a nice day!
Lily designed a deck in her backyard that looks like a quadrilateral that has only 1 pair of parallel sides. How can you classify the figure?
The quadrilateral is a _____________.
A quadrilateral with one pair of parallel sides is a trapezoid
A quadrilateral with only one pair of parallel sides can be classified as a trapezoid, which is a distinct type of four-sided figure unlike rectangles or squares.
Explanation:The quadrilateral Lily designed, with only one pair of parallel sides, can be classified as a trapezoid. In geometry, this kind of shape is distinct from others we learn about in elementary levels, such as squares and triangles. A trapezoid is a four-sided figure, which makes it a type of quadrilateral but not all sides are parallel like in a rectangle or a square.
The defining feature of a trapezoid is that it has at least one set of parallel sides, known as the bases, while the other sides, which are not parallel, are referred to as the legs. Because it only has one pair of parallel sides, it differs from other quadrilaterals like rectangles, squares, and parallelograms, which have two pairs of parallel sides. The non-parallel sides of a trapezoid can be of different lengths and angles to each other, which can make trapezoids quite diverse in shape and size.
HELP PLEASE
Use elimination to solve the system of equations
2x + 3y = 9
x + 5y = 8
Answer:
y=5/7 x=31/7
Step-by-step explanation:
Make the x values the opposite of each other:
-2(x+5y=8)
-2x-10y=-16
2x+3y=9
Combine like terms and solve for y:
-7y=-5
y=5/7
Plug y in to find x.
x+5(5/7)=8
x+25/7=8
56/7-25/7=x
x=31/7
HELPPPPPPPPPP Add & subtract matrices .....
PLZ GIVE THE ANSWER .. THANKSSSSS .
For this case, we must subtract the given matrices, for this we subtract term to term.
So, we have:
Equal signs are added and the same sign equals:
[tex]\left[\begin{array}{ccc}-2-2\\-2-1\\1-1\end{array}\right][/tex]=
[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]
ANswer:
[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]
Step-by-step explanation:
Given in the question two matrix, a matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions.
Here the dimensions are 3x1 and 3x1 .
[tex]\left[\begin{array}{ccc}-2\\-2\\1\end{array}\right][/tex]-[tex]\left[\begin{array}{ccc}-2\\1\\1\end{array}\right][/tex]
To subtract two matrices, just subtract the corresponding entries
=[tex]\left[\begin{array}{ccc}-2-2\\-2-1\\1-1\end{array}\right][/tex]
=[tex]\left[\begin{array}{ccc}-4\\-3\\0\end{array}\right][/tex]
Solve the equation. x – 2 = 7
Answer:
x=9
Step-by-step explanation:
x – 2 = 7
Isolate the variable, x.
x-2+2=7+2
x=9
x=9
Answer: [tex]x=9[/tex]
Step-by-step explanation:
Given the equation [tex]x-2=7[/tex], you need solve for the variable "x", to do this, you need to remember the Addition property of equality, which states that:
[tex]If\ a=b,\ then\ a+c=b+c[/tex]
Therefore, add 2 to both sides of the equation to calculate the value of the variable "x", then you get the following result:
[tex]x-2+(2)=7+(2)[/tex]
[tex]x=9[/tex]
Isabella has 2 1/4 oranges. Colleen has 3 1/4 oranges. How many all together?
Answer:
There are 5 1/2 oranges altogether.
Step-by-step explanation:
The 2 and 3 in front of each fraction indicate that there are a total of 5 whole oranges altogether. Now we have to settle these fractions. the 1/4 and the 1/4 both have a common denominator so there is no need to find one. When the common denominator is found, we simply have to add the numberators on the top of the fraction. 1+1 is 2, and, since the denominator stays the same, we should get a total of 2/4. I am unsure as to whether you were asked to simplify your answer (if you weren't you could keep your answer like this), but if you were to simplify the answer, both the numerator and denominator of our total can be divided by 2, so when that is done, we have a simplified total of 1/2. Take that 1/2 of an orange and add it to our 5 whole oranges, and we should get our answer of 5 1/2 oranges in total.
20 points!!! plz help asap
Suppose 10% of the flights arriving at an airport arrive early, 60% arrive on time, and 30%
arrive late. Valerie used the random-number table to find the experimental probability that of 5
flights, at least 2 will arrive late. The digit 0 represents flights arriving early. The digits 1,2,3,
4, 5, and 6 represent flights arriving on time. The digits 7, 8, and 9 represent flights arriving
late. Find the experimental probability that of 5 flights at least 2 will arrive late.
A: 3/10
B:2/5
C: 9/20
D: 11/20
Answer:
D. 11/20
Step-by-step explanation:
7, 8, and 9 represent late flights. We want to count how many of the 20 trials have at least two of these digits. Counting, we find that 11 of the 20 have at least two of these digits.
D. 11/20
Which graph represents the equation y = 1/4 x^2 ?
Answer:
Answer in attachment
Step-by-step explanation:
2.15a+0.03∙(3.4a−12a)
1.892a is the correct answer
The expanded form of the expression 2.15a+0.03∙(3.4a−12a) is 2.252a - 0.36
Factoring an expressionGiven the following expression
2.15a+0.03∙(3.4a−12a)
Open the parenthesis
2.15a+0.03∙(3.4a) −0.03(12a)
2.15a+ 0.102a - 0.36
Simplify
2.252a - 0.36
Hence the expanded form of the expression 2.15a+0.03∙(3.4a−12a) is 2.252a - 0.36
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Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h) she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?
It is would last for 6 hours.
Which side of DEF is longest?
Answer:
A. DE
Step-by-step explanation:
The side opposite the angle with the largest measure is the longest
<F has a measure of 72, so it is the largest angle and DE is opposite <F
Side DE is the longest
The image below is a triangle drawn inside a circle with center O:
A triangle is shown inscribed inside a circle. The leg of the triangle labeled 6 inches passes through the center of the circle, O. The other two legs are labeled as 4 inches and 3 inches.
Which of the following expressions shows the area, in square inches, of the circle?
(π = 3.14)
3 ⋅ 3.14 ⋅ 22
3.14 ⋅ 32
3.14 ⋅ 22
3.14 ⋅ 3
3.14 • 3 I think I hope this is right and helps
The area of circle in inches be: 3.14* [tex](3)^{2}[/tex]
What is Area of circle?The area of a circle is pi times the radius squared (A = π r²).
As it is known that the triangle in inscribed under the circle.
The diameter of the circle will be = 6 inches (hypotenuse of triangle)
radius = 3 inches
So, Area of circle= π[tex]r^{2}[/tex]
= 3.14* 3 * 3
= 3.14* [tex](3)^{2}[/tex]
So, the area of circle is : 3.14* [tex](3)^{2}[/tex]
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Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs.
What question does the equation 525=25(x-2), help answer?
Choose 1 answer:
The equation [tex]\(525=25(x-2)\)[/tex] helps answer option (C): How many members are in the band when no one is absent?
let's break it down step by step:
1. Define variables: Let [tex]\(x\)[/tex] represent the total number of members in the band.
2. Calculate members present: Since 2 members were absent, the number of members present is [tex]\(x - 2\).[/tex]
3. Programs folded by each member: We know that each present member folded 25 programs.
4. Total programs folded: To find the total number of programs folded, we multiply the number of present members by the number of programs each member folded. So, the total programs folded is \(25(x-2)\).
5. Set up equation: We are given that the total number of programs folded is 525. So, we set up the equation:
[tex]\[ 25(x-2) = 525 \][/tex]
6. Solve for [tex]\(x\):[/tex] By solving this equation, we can find the value of [tex]\(x\),[/tex]which represents the total number of members in the band when no one is absent.
So, the equation [tex]\(525=25(x-2)\)[/tex] helps us determine how many members are in the band when no one is absent. This aligns with option (C).
Complete Question:
wright in standard notation for 5,000,000
, 0.001394,
8,900,000. and
0.000005
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
5×106 this is for 5,000,000
Step-by-step explanation:
What the mass of an encyclopedia grams or kilograms?
Answer:
kilograms
Step-by-step explanation:
Which transformation is shown in the line of music?
elide reflection
he
reflection
rotation
translation
Answer:
Translation and a rotation 90 degrees
Step-by-step explanation:
If xy = 1, which is equivalent to x(x – 1)(y + 1)?
A) x – 1
B) x2 – 1
C) x2 – x
D) x2 – x + y – 1
Answer:
B) x^2 – 1
Step-by-step explanation:
x(x – 1)(y + 1)
FOIL (x-1)(y+1)
firsy: xy
outer 1x
inner -1y
last (1)(-1) =-1
Add them together xy +x-y-1
x( xy +x-y-1)
Replace xy with 1
x( 1+x-y-1)
x(+x-y)
Distribute
x^2-xy
But xy=1
x^2 -1
HELP WILL MARK BRAINLIEST 72.74mm = blank m
Answer:
.074 I believe
Step-by-step explanation:
1 meter = 1000 millimeters, so set an equal proportion. x / 72.74mm = 1m / 1000mm. Cross multiply to get 1000x = 72.74; divide both sides by 1000 to get x = 0.07274 m or if you're rounding, 0.07m
The graph of the function f(x)=6/x-3 is shown below
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
we know that
The vertical asymptote occur when the denominator of the function f(x) is equal to zero.
we have
[tex]f(x)=\frac{6}{x-3}[/tex]
so
[tex]x-3=0[/tex]
[tex]x=3[/tex]-----> is the vertical asymptote
Answer: 3
Step-by-step explanation:
The red line goes through it
Please help me ASAP I’ll give 25 points to whoever gets it right!!!
Answer:
Step-by-step explanation:
The general equation is y = a*b^x
The specific equation is
100000 = 78918 * 1.06^x
y is the goal (100000 people)
a is the beginning number of people at the time the prize is offered.
a = 78918
b = the base increase per year. (1.06 in this case)
x is the number of years. Just for fun, let's solve for x even though you are not asked for it.
100000 = 78918 * 1.06^x Divide both sides by 78918
100000/78918 = 1.06^x
1.26713 = 1.06^x Take the log of both sides.
log(1.26713) = x * log(1.06) Divide both sides by log(1.06)
log(1.26713)/log(1.06) = x
x = 4.06 years.
if point (-1,0) is on the line whose equation is y=2x+b what is the value of b? show your work and explain) A. 1 B. 2 C. 3 D. 0
[tex]\bf y=2x+b~~\hspace{8em} (\stackrel{x}{-1},\stackrel{y}{0})~\hspace{8em} 0=2(-1)+b \\\\\\ 0=-2+b\implies 2=b[/tex]
To find the value of b plug in the point (-1,0) into the known part of the equation ( y = 2x + b ) and solve for b
0 = 2(-1) + b
0 = -2 + b
To isolate b add 2 to both sides (addition of 2 will make -2 zero and cancel it from the right side and bring it to the left)
0 + 2 = (-2 + 2) + b
2 = 0 + b
2 = b <------------------------B. 2
Hope this helped!
Find all solutions in the interval [0, 2π).
4 sin2 x - 4 sin x + 1 = 0
ANSWER
[tex]x = \frac{\pi}{6} \: or \: x = \frac{5\pi}{6} [/tex]
EXPLANATION
The given trigonometric equation is
[tex]4 \sin ^{2} x - 4 \sin(x) + 1 = 0[/tex]
This is a quadratic equation in sinx.
We split the middle term to obtain,
[tex]4 \sin ^{2} x - 2 \sin(x) - 2 \sin(x) + 1 = 0[/tex]
Factor by grouping to get,
[tex]2 \sin(x) (2 \sin(x) - 1) - 1(2 \sin(x) - 1) = 0[/tex]
This implies that,
[tex](2 \sin(x) - 1)(2 \sin(x) - 1) = 0[/tex]
[tex] \sin(x) = 0.5[/tex]
This gives us,
[tex]x = \frac{\pi}{6} [/tex]
in the first quadrant.
Or
[tex]x = \pi - \frac{\pi}{6} [/tex]
[tex]x = \frac{5\pi}{6} [/tex]
in the second quadrant.
Answer:
x = [tex]\frac{\pi}{6}[/tex], [tex]\frac{7\pi}{6}[/tex], [tex]\frac{11\pi}{6}[/tex].
Step-by-step explanation:
The given equation is 4 sin²x - 4 sin x + 1 = 0
(2sinx)² - 2(2sinx) + 1 = 0
(2sinx - 1 )² = 0
Sinx = [tex]\frac{1}{2}[/tex] ⇒ x = sin⁻¹ ( [tex]\frac{1}{2}[/tex])
So between the interval [0, 2π] value of x will be [tex]\frac{\pi}{6}[/tex], [tex]\frac{7\pi}{6}[/tex], [tex]\frac{11\pi}{6}[/tex]
[Since sine is positive in 1st 3rd and 4th quadrant]
So value of x will be x = [tex]\frac{\pi}{6}[/tex], [tex]\frac{7\pi}{6}[/tex], [tex]\frac{11\pi}{6}[/tex].
A middle school basketball team won 36% of the games it played last season. the team won exactly 9 games last season. what is the total number of games that the team played? explain how you got your answer
9 games equals 36 percent of x number of total games.
9=(36/100)x
Multiply both sides by (100/36) to isolate x.
9*(100/36)=x
x=25 total games
Select the correct answer. If f(x)=2-x^1/2 and g(x)=x^2-9 , what is the domain of g(x) ÷ f(x)
Answer:
the domain of g(x) ÷ f(x) is :D = ]-∞ ; 4[U] 4 ; +∞[
Step-by-step explanation:
g(x) ÷ f(x) exist for : 2-x^1/2 ≠ 0
2-x^1/2 = 0
x^1/2 = 2
(x^1/2)² = 2²
x = 4
the domain of g(x) ÷ f(x) is :D = ]-∞ ; 4[U] 4 ; +∞[
ANSWER
[0,4) U (4,+∞)
EXPLANATION
The given functions are:
[tex]f(x)=2- \sqrt{x} [/tex]
and
[tex]g(x) = {x}^{2} - 9[/tex]
We want to find the domain of:
[tex] g(x) \div f(x) = \frac{ {x}^{2} - 9}{2 - \sqrt{x} } [/tex]
This function is defined for:
[tex]2 - \sqrt{x} \ne0[/tex]
[tex]2 \ne \: \sqrt{x} [/tex]
Square both sides,
[tex] {2}^{2} \ne \: ({\sqrt{x}})^{2} [/tex]
[tex]4 \ne \: x[/tex]
Also [tex] x\:\ge0[/tex]
Therefore the domain is
[0,4) U (4,+∞)