Answer: $0.06 per inch
Concept:
When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.
Solve:
Price = $6.48
Inch = 9 × 12 = 108 in
1 ft = 12 inchPrice / Inch = 6.48 / 108 = $0.06 per inch
Hope this helps!! :)
Please let me know if you have any questions
please help me i have to finnish this!!!
Answer:
488
Step-by-step explanation:
[tex]6x^{2} + 2[/tex] = 0 replace x = -9 => 6 x (-9)^2 + 2 = 488 Which table below matches the scatter plot?
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
x 2 1 8 6 7 1 4 3
y 5 9 3 2 7 6 4 5
x 3 4 6 1 7 8 1 2
y 1 2 3 4 5 6 7 8
x 3 4 6 1 7 8 1 2
y 2 1 7 1 3 5 6 4
Answer:
The first table
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
What is the constant of proportionality in the equation: y=7x ...?
Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.
Answer:
D
Step-by-step explanation:
Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h
If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.
What is a pyramid?Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Let say
Base width is = w
Height is = h
Volume V = w²h/3
Given
14 = w²h/3
For volume to be 28
28 = w²(2h)/3
So it is clear that he needs to double the height.
To learn more about pyramids,
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How do u find the area of a rectangle?
Answer:
6x-21
Step-by-step explanation:
Area of a rectangle is length times width.
3*(2x-7)-
6x-21
Answer:
6x - 21
Step-by-step explanation:
Since area = L x W (Length x Width)
--> 3(2x - 7)
6x - 21
10.4825 rounded to the nearest cent plz show work ty ! :D
Answer:
$10.48
Step-by-step explanation:
To the nearest cent, your answer would be 10.48
please help!!!! Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (-1,2)
A. (1, -2) B. (-1, -2) C. (2, -1) D. (-2, -1)
Answer: D. (-2, -1)
Step-by-step explanation:
Here we do two reflections to the point (-1, 2).
First, we do a reflection over the line x = y. Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:
Ry=x (x, y) = (y, x)
so for our point, we have:
Ry=x (-1, 2) = (2, -1)
Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:
Ry-axis (x,y) = (-x, y)
Then in our case:
Ry-axis (2, -1) = (-2, -1)
The correct option is D.
Anyone want to help...?
Answer:
-1
Step-by-step explanation:
3/2 * (-22/33)
Simplify by dividing the second fraction by 11
3/2 * (-2/3)
Rewriting
3/3 * (-2/2)
-1/1
Answer:
-1
Step-by-step explanation:
(a/b)(c/d) = (a*c)(
(3/2)(-22/33)
(3*-22)/(2*33) = -66/66 = -1
Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number
Answer:
See attached
Step-by-step explanation:
13450 = 13000 + 400 + 50
13*1000 = 13 large cubes4*100 = 4 flats5*10 = 5 longsType the correct answer in each box
the value of x is ____ and the value of y is ____ . HELP ME PLEASE
Here,
x+50°+70°= 180° [°.°Angle sum of triangle]
↪x= 180°-120°
↪x=60°
.°. x = 60°
Now,
Let z be the unknown angle of the second triangle
z+60°+50°=180° [°.° Angle sum of triangle ]
↪z=180°-110°
↪z=70°
. ° . z=70°
Then,
z+x+y= 180°
↪70°+60°+y=180°
↪y=180°-130°
↪y=50°
.°.y = 50°
Answer:
x = 60°, y = 50°
Step-by-step explanation
We know: the angles measures in a triangle add up to 180°.
(look at the picture)
z + 50 + 60 = 180
z + 110 = 180 subtract 110 from both sides
z = 70°
x + 50 + 70 = 180
x + 120 = 180 subtract 120 from both sides
x = 60°
Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 subtract 130 from both sides
y = 50°
The graph of y=3x^2-3x-1 is shown. Use the graph to find estimates for the solutions of i)3x^2-3x+2=2 ii) 3x^2-3x-1=x+1
Intersection point of graph of function is known as solution of the function.
Graph is attached below, in which solution is shown.
1. Here, given that [tex]3x^2-3x+2=2[/tex]
It can be written as, [tex]y=3x^2-3x+2\\\\y=2[/tex]
Intersection point of graph of above two equation will be the solution of given function,
Solutions are (1, 2) and (0, 2)
2. Given that , [tex]3x^2-3x-1=x+1[/tex]
It can be written as
[tex]y=3x^2-3x-1\\\\y=x+1[/tex]
Intersection of graph of above two equation will be the solution of given equation.
Solutions are (1.721, 2.721) and (- 0.387, 0.613)
Both graph attached below,
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prove that (3-4sin^2)(1-3tan^2)=(3-tan^2)(4cos^2-3)
Answer:
Proof in the explanation.
Step-by-step explanation:
I expanded both sides as a first step. (You may use foil here if you wish and if you use that term.)
This means we want to show the following:
[tex]3-9\tan^2(\theta)-4\sin^2(\theta)+12\sin^2(\theta)\tan^2(\theta)[/tex]
[tex]=12\cos^2(\theta)-9-4\cos^2(\theta)\tan^2(\theta)+3\tan^2(\theta)[/tex].
After this I played with only the left hand side to get it to match the right hand side.
One of the first things I notice we had sine squared's on left side and no sine squared's on the other. I wanted this out. I see there were cosine squared's on the right. Thus, I began with Pythagorean Theorem here.
[tex]3-9\tan^2(\theta)-4\sin^2(\theta)+12\sin^2(\theta)\tan^2(\theta)[/tex]
[tex]3-9\tan^2(\theta)-4(1-\cos^2(\theta))+12\sin^2(\theta)\tan^2(\theta)[tex]
Distribute:
[tex]3-9\tan^2(\theta)-4+4\cos^2(\theta)+12\sin^2(\theta)\tan^2(\theta)[/tex]
Combine like terms and reorder left side to organize it based on right side:
[tex]4\cos^2(\theta)-1+12\sin^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
After doing this, I since that on the left we had products of sine squared and tangent squared but on the right we had products of cosine squared and tangent squared. This problem could easily be fixed with Pythagorean Theorem again.
[tex]4\cos^2(\theta)-1+12\sin^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
[tex]4\cos^2(\theta)-1+12(1-\cos^2(\theta))\tan^2(\theta)-9\tan^2(\theta)[/tex]
Distribute:
[tex]4\cos^2(\theta)-1+12\tan^2(\theta)-12\cos^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
Combined like terms while keeping the same organization as the right:
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-12\cos^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
We do not have the same amount of the mentioned products in the previous step on both sides. So I rewrote this term as a sum. I did this as follows:
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-12\cos^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8\cos^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
Here, I decide to use the following identity [tex]\cos\theta)\tan(\theta)=\sin(\theta)[/tex]. The reason for this is because I certainly didn't need those extra products of cosine squared and tangent squared as I didn't have them on the right side.
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8\cos^2(\theta)\tan^2(\theta)-9\tan^2(\theta)[/tex]
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8\sin^2(\theta)-9\tan^2(\theta)[/tex]
We are again back at having sine squared's on this side and only cosine squared's on the other. We will use Pythagorean Theorem again here.
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8\sin^2(\theta)-9\tan^2(\theta)[/tex]
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8(1-\cos^2(\theta))-9\tan^2(\theta)[/tex]
Distribute:
[tex]4\cos^2(\theta)-1+3\tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)-8+8\cos^2(\theta)-9\tan^2(\theta)[/tex]
Combine like terms:
[tex]12\cos^2(\theta)-9+3tan^2(\theta)-4\cos^2(\theta)\tan^2(\theta)[/tex]
Reorder again to fit right side:
[tex]12\cos^2(\theta)-9+4\cos^2(\theta)\tan(\theta)+3\tan^2(\theta)[/tex]
This does match the other side.
The proof is done.
Note: Reordering was done by commutative property.
What is AE?
Enter your answer in the box?
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
[tex]\frac{AE}{DE}[/tex] = [tex]\frac{AB}{DC}[/tex] , substitute values
[tex]\frac{2x+4}{x+8}[/tex] = [tex]\frac{12}{10}[/tex] ( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Which of the following statements is true about odd
and/or even numbers?
F. The sum of any 2 even numbers is odd.
G. The sum of any 2 odd numbers is ood.
H. The quotient of any 2 even numbers is odd.
J. The quotient of any 2 even numbers is even.
K. The product of any 2 odd numbers is odd.
Answer:
k) the product of ant 2 odd numbers is odd
I don't know.
Let's check um out.
For each choice, I'll try to find an example to show that it's false.
F. The sum of any 2 even numbers is odd.
2+2=4. 4 is even. This one is false.
G. The sum of any 2 odd numbers is ood.
3+3=6. 6 is even. This one is false.
H. The quotient of any 2 even numbers is odd.
8÷4=2. 2 is even. 10÷4=2.5. 2.5 is neither odd nor even. This one is false.
J. The quotient of any 2 even numbers is even.
10÷2=5. 5 is odd. This one is false.
K. The product of any 2 odd numbers is odd.
I can't find an example where this is false.
So I'm gonna say that this is the true one.
pls i want help in this sum
Step-by-step explanation: The first rectangle to the right is 24 because 10+14 equals 24. The rectangle to the left is 19 because 10+9 equals 19. Finally the rectangle on the bottom is 23 because 14+9 is 23
When a boy pulls his sled with a rope, the rope makes an angle of 70° with the horizontal. If a pull of 20 pounds on the rope is needed to move the sled, what is the horizontal component force?
7 lb
19 lb
20 lb
24 lb
Answer:
The answer to your question is 7 lbs.
Step-by-step explanation:
Data
angle = 70°
force = 20 lb
horizontal component
Process
To solve this problem just imagine a right triangle, where the force is the hypotenuse and the horizontal component is the adjacent side.
1.- Look for a trigonometric function that relates the adjacent side and the hypotenuse.
cos Ф = adjacent side / hypotenuse
- Solve for the adjacent side
adjacent side = hypotenuse x cosФ
- Substitution
adjacent side = 20 x cos 70
- Simplification
adjacent side = 20 x 0.342
- Result
adjacent side = 6.84 ≈ 7 lb
If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.
Answer:
[tex]\Large \boxed{11.08}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
the third term and the fifth term of a geometric progression are 2 and 1/8 respectively. If all terms are positive, find the sum to the infinity of the progression
Answer:
42 + 2/3
Step-by-step explanation:
First, to calculate the sum of an infinite geometric series, our formula is
a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.
To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have
2 * r * r = a₅
2 * r² = 1/8
divide both sides by 2 to isolate the r²
r² = 1/16
square root both sides to isolate r
r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5
Therefore, r = 1/4 .
To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2
a₁ * 1/16 = 2
divide both sides by 1/16 to isolate a₁
a₁ = 2 * 1/ (1/16)
= 2 * 16
= 32
Plugging a₁ and r into our infinite geometric series formula, we have
a₁/(1-r)
= 32 / (1-1/4)
= 32/ (3/4)
= 32/ 0.75
= 42 + 2/3
what is the graph of the following function??
PLEASE HELP!!
Answer:
umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...
Step-by-step explanation:
divide the sum of -5,-10 and -9 by the product of 2 and -3
Answer: 1/4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
=(-5)+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4 ans.....
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answer: the answer is P
Step-by-step explanation:
in this figure ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90cm^2. Find PT:TR please help me
Answer: The required ratio is PT:TR = 1:2.
Step-by-step explanation:
Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².
To find : PT:TR
.i.e. Ratio of PT to TR.
Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]
[tex]=\dfrac{4\ cm}{8\ cm}[/tex]
Divide numerator and denominator by 4 , we get
[tex]\dfrac{1}{2}[/tex]
Therefore, the required ratio is PT:TR = 1:2.
Can i please get some help im pretty desperate and will give brainiest to first answer with some steps, just try your best please
Answer:
To calculate the vertex you can use the vertex form ( i searched about the vertex and found it) but i don't know how to use it so i used another method.
The vertex is where the function inverts (y values) so it is going to be or a maximum or a minimum of the function. To calculate the min/max you derivate the function and then equal it to zero.
1) y = -3x^2 -12x -10
the derivative of y is y' = -6x -12 = -6(x+2)
y'=0 <=> -6(x+2) = 0 <=> x+2=0 <=> x=-2
y(-2) = -3(-2)^2 -12*(-2) -10 = 2
So the vertex is the point (-2,2) .
Because the slope of the equation is negative that means that the vertex is going to be the maximum , so the maximum is (-2,2) .
To find another 4 points you just have to pick values of x and replace them in the equation y = -3x^2 -12x -10 to find y.
2) y = -2x^2 -12x -16
Do the same thing we did in point 1
y'= -4x-12 = -4(x+3)
y'=0 <=> -4(x+3) = 0 <=> x+3=0 <=> x=-3
y(-3) = -2(-3)^2 -12*(-3) -16 = 2
So the vertex is the point (-3,2) .
Jack bought a car for $50,000. He spent $5000 on repairs. He sold the car at a profit of $5000. At what price did he sell the car.
Answer:$60,000
Step-by-step explanation:
If he bought it for $50,000 and then spent $5,000 on repairs then he spent a total of $55,000. For a profit of $5,000 he would need to sell it for $60,000 Because
60,000 - 55,000 = 5,000
One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle?
Answer:
76 degrees
Step-by-step explanation:
Let the angles be x, y and z
As per given:
x= 66z = 57 + 1/2yx+y+z = 180Considering the first 2 equations in the third one:
66 + y + 57 + 1/2y = 1801.5y = 180 - (66+57)1.5y = 57y = 57/1.5y = 38So the third angle is:
z = 57 + 38/2 = 76 degrees
Hello!! Please help me solve the question, could you please also tell me which calculator we can use? Thank you
You can use any calculator in Maths.
Help me solve this thanks to who ever will I really appreciate it
Answer:
135
Step-by-step explanation:
The equation is 135+90+x=360. x=360-(225)=135
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
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the area of a square poster is 27 in.2. Find the length of one side of the poster to the nearest tenth of an inc
Answer:
5.2 inches
Step-by-step explanation:
Let a be the side of the square poster.
The area of it is:
● A = a^2
● 27 = a^2
● a = √27
● a = √(9×3)
● a = 3√3
● a = 5.19
Round it to the nearest tenth
● a = 5.2 inches
The length of one side of the poster is approximately 5 inches rounded to nearest tenth.
What is rounding of numbers ?We round numbers because they are easy to deal with and they also retain their value to that place they have been rounded.
According to the given question the area of a square poster is 27inch².
We have to determine the length of one side of the poster.
We know area of a square is (side)².
∴ (side)² = 27.
side = [tex]\sqrt{27}[/tex].
We know [tex]\sqrt{25}[/tex] is 5 and [tex]\sqrt{36}[/tex] is 6 so [tex]\sqrt{27}[/tex] will lie between 5 and 8 and much closer to 5.
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factor 36x + 18 + 12y using GCF HURRY!!!!
Answer:
6x + 3 + 2y
Step-by-step explanation:
The GCF is 6 as thats the largest factor, so you divide the numbers by 6.
6x + 3 + 2y