Answer:
Rectangle shaped cross section is formed by intersection of plane and prism.
Step-by-step explanation:
Given: A rectangular Prism.
To find: Shape of Cross Section when a plane intersect the prism diagonally
A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
no no no no no no no
Answer:
help help help help help
Answer:
help help help help help
Step-by-step explanation:
Room A contains 7 people. Room B contains the number of people in A plus half the number of people in C. Room C contains the same number of people as room A and Room B combined. How many people combined are there in rooms A,B, and C?
The total number of people combined in rooms A, B, and C is 21 + x.
What is combination?
In mathematics and combinatorial theory, a combination refers to the selection of items from a larger set without considering their order.
Let's solve this step by step using the given information.
Room A contains 7 people.
Room B contains the number of people in A plus half the number of people in C. Since we don't know the number of people in C yet, let's represent it with the variable "x". Therefore, the number of people in Room B is 7 + (1/2)x.
Room C contains the same number of people as Room A and Room B combined. So, the number of people in Room C is (7 + (1/2)x) + (7 + (1/2)x).
Room C contains the same number of people as Room A and Room B combined. So, the number of people in Room C is (7 + (1/2)x) + (7 + (1/2)x).
To find the total number of people in rooms A, B, and C combined, we add the number of people in each room:
Total = Room A + Room B + Room C
Total = 7 + (7 + (1/2)x) + (7 + (1/2)x)
Simplifying the equation:
Total = 7 + 7 + 7 + (1/2)x + (1/2)x
Total = 21 + x
Therefore, the total number of people combined in rooms A, B, and C is 21 + x.
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How do you solve this??
Answer:
what
Step-by-step explanation:
which questions you are telling there is no question to answer you!!
Which is the Best Buy
$25.24 for 12 bottles of juice
$18.09 for 9 bottles of juice
$16.32 for 8 bottles of juice
$22.33 for 11 bottles of juice
Work on the screenshot
Answer:
12 gallons
Step-by-step explanation:
If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.
these equations on a graph pleaseee
x-3y = -18
2x - 6y = 6
1 . For the two-variable linear equation, produce three points » ordered pair solutions (x, y).
2 . Put each point on a coordinate plane and plot it.
3 . Draw an arrow at each end of a line that passes through the indicated spots.
When two equations are given and we are supposed to draw a graph.
We first have to take any random value of x preferably a small number like 1, 2 etc. and put this value in the equation and get the value of y .
Similarly, do the same for the second equation and get atleast three to four values of both x and y and plot them in a graph .
To cross check whether the graph plotted is correct ; HINT : they should form a straight line .
The graph is given below :
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The real answer to the question. The table below shows the average attendance of school events by the day of the week on which they are held. CLick on the file for info. 300 184 250.
Answer: 407
Step-by-step explanation: Given :
Thursday Friday
School play 300 x
Band concert 184 250
To Find : value of x
Solution
Since we are given that there is an association
So,
Thus the value of x is 407
Answer:
A,B, and E
Step-by-step explanation:
edge 2021
Consider the curve given by the parametric equations x=t(t^2 −147),y=2(t^2 −147) a.) Determine the point on the curve where the tangent is horizontal. t= b.) Determine the points t_1,t_2 where the tangent is vertical and t_1
Given parametric equations are,
x = t(t² − 147
)y = 2(t² − 147)
a) We are to find out the point on the curve where the tangent is horizontal.
If we differentiate x and y with respect to t, we get,
x = t(t² − 147)
dx/dt = 3t² − 147
y = 2(t² − 147)
dy/dt = 4t
Now, for the tangent to be horizontal,
dy/dt = 0
Therefore, 4t = 0 or t = 0
Therefore, when t = 0, the tangent is horizontal.
The point on the curve is
(x, y) = (0, −294).
b) We are to determine the points t1 and t2
where the tangent is vertical and t1 < t2.
If we differentiate x and y with respect to t, we get,
x = t(t² − 147)
dx/dt = 3t² − 147
y = 2(t² − 147)
dy/dt = 4t
Now, for the tangent to be vertical,
dx/dt = 0
Therefore, 3t² − 147 = 0 or t² = 49 or t = ±7.
Now,
d²y/dx² = (d²y/dt²) / (d²x/dt²)
= 2 / (6t)
= 1 / (3t)
So, d²y/dx² is defined at t = 7 and t = −7.
Since x = t(t² − 147), x is an odd function of t and so the curve is symmetric about the origin.
Therefore, the points where the tangent is vertical are
(x, y) = (7²(7² − 147), 2(7² − 147)) and (x, y) = (−7²(−7² − 147), 2(−7² − 147)).
Simplifying, we get,t1 = −7, t2 = 7 and the required points are (x, y) = (686, −980) and (x, y) = (−686, −980).
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There is only one point where the tangent is vertical and t1 = t2 = 0. The point is (0, -294).
Given, parametric equations of the curve are
x = t(t² - 147)y = 2(t² - 147)
The derivative of x with respect to t will give the slope of the tangent to the curve with respect to x.
Now, using the chain rule, the derivative of x with respect to t will bedx/dt = (d/dt) [t(t² - 147)]
Let’s expand and simplify
d/dt (t³ - 147t) = 3t² - 147
This is the slope of the tangent to the curve with respect to x.
For horizontal tangent, the slope must be zero. So we have to solve
3t² - 147 = 0
⇒ 3(t² - 49) = 0
⇒ t² - 49 = 0
⇒ t = ±7
The value of t for horizontal tangent is 7 and -7.
So the point on the curve where the tangent is horizontal can be found by putting t = 7 or t = -7 in the given equation of y.
Therefore the point will be(-686, -588) and (686, -588)
Now, using the chain rule, the derivative of y with respect to t will be dy/dt = (d/dt) [2(t² - 147)]
Let's expand and simplify
d/dt [2t² - 294] = 4t
For vertical tangent, the derivative of y with respect to t must be undefined. dy/dt is undefined at t = 0.
Thus, t1 = 0Putting t1 = 0 in the given equation of x, we can get the point on the curve where the tangent is vertical. Therefore the point will be (0, -294)
Now, to get the second value of t, let’s first differentiate the equation of x with respect to t again to obtain
d²x/dt² = (d/dt) [3t² - 147]d²x/dt²
= 6t
For vertical tangent, the slope must be undefined, thusd²x/dt² = 0
Therefore,6t = 0
⇒ t = 0
Thus, we can conclude that there is only one point where the tangent is vertical and t1 = t2 = 0. The point is (0, -294).
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Jen and Cade paint rectangular pictures. Jens picture is 36 centimeteters long and 24 centimeters wide. Cades picture has the same area as Jens picture. Cades picture is 48 inches long. what is the perimeter, in inches, of cades picture?
The width of Cade's picture is 7.09cm. The perimeter of Cade's picture is 101.58 inchs.
What is a rectangular object?
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can also be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides.
Given that Jens's picture is 36 centimeters long and 24 centimeters wide.
The area of a rectangular object is the product of length and width.
The area of Jens's picture is 36 × 24 cm² = 864 cm².
1 inches = 2.54 cm
The length of Cade's picture is 48 inches = 48× 24 cm = 121.92 cm
Assume that the width of Cade's picture is x.
The area of Cade's picture is 121.92x cm².
Given that the area of Cade's picture is the same as that of Jens's picture.
According to the question,
121.92x = 864
Divide both sides by 121.92:
x = 7.086
x = 7.09
The perimeter of a rectangular object is 2(l + w)
The perimeter of Cade's picture is 2(121.92 + 7.09) = 258.02 cm
Now convert it cm to inches:
= 258.02/2.54 inch
= 101.58 inchs
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PLZ HELP ME!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
Short sy = -3; int y = sy; int x = -17; unsigned ux = x; what is the decimal value of ux?
The decimal value of ux is 17
How to determine the decimal value of ux?The code is given as:
Short sy = -3;
int y = sy;
int x = -17;
unsigned ux = x;
We have
x = -17
This means that:
unsigned ux = -17
Unsigned numbers are zero and positive values
So, we have:
unsigned ux = 17
Hence, the decimal value of ux is 17
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please answer all 3 questions thank you~!!!!
Answer:
X of M is 6, Y of M is 4, Pair is (6,4)
Step-by-step explanation:
M = 6
M = 4
M (6,4)
Indicate the domain of each fraction.
a. \(\frac{2y}{9+y^{2} }\)
b. \(\frac{5x}{3x(x+12)}\)
c. \(\frac{7a}{(a+1)(a-4)}\)
Answer: see below
Step-by-step explanation:
The denominator of the equations cannot equal zero.
a. \(9+y^{2}\) \(= 0\)
\(y^{2} = -9\)
\(\sqrt{y^{2} } = \sqrt{-9}\)
\(y=-3i,3i\)
The domain is all real numbers.
D:xE(−∞,∞)
b.3x(x+12)=0
3x=0, x+12=0
x=0,x=-12
D:xE(−∞.-12) U (-12,0) U (0,∞)
c.(a+1)(a-4)=0
a+1=0, a-4=0
a=1, a=4
D:xE(−∞.1) U (1,4) U (4,∞)
Find the value of X? show our work
The value of x in the figure is 18
How to determine the value of x?The angle with the measure 9x -12 and the angle with the measure 30 degrees are internal angles of a transversal
This means that
9x -12 + 30 = 180
Evaluate the like terms
9x = 162
Divide by 9
x = 18
Hence, the value of x in the figure is 18
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rewrite the polynomial 2y^2+ 6y^3-11-17y^4+8y^5 in the standard form also find its degree and coefficient of y^4
Answer:
The standard form is 8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11
The degree of given polynomial is '5'
the co-efficient of y⁴ is '-17'
Step-by-step explanation:
Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵
The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.
The form ax⁵ + b x⁴ + c x³ +d x² +ex +f is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial
now Given polynomial is 2 y²+ 6 y³-11-17 y⁴+8 y⁵
The standard form is
8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11
Conclusion:-
The degree of given polynomial is '5'
The co-efficient of y⁴ is '-17'
Put the following numbers in order from greatest to least. -3, -6, 2, 0, -1 4/5
The first step to solve this exercise is to write the Mixed number as a decimal number. You can do it by dividing the numerator by the denominator of the fractional part and adding the quotient to the Whole number part, as follows:
\(1+\frac{4}{5}=1+\text{0}.8=1.8\)So:
\(-1\frac{4}{5}=-1.8\)Knowing that Positive numbers are greater than zero and knowing that Negatives numbers are less than zero, we can order the given numbers from greatest to least, as you can see below:
\(undefined\)If 20% of a number is 60 and 55% of the same number is 165, find 75% of that
number.
(Please be quick :) )
Answer:
300
Step-by-step explanation:
hope this helps!!!!
Answer:
225
Step-by-step explanation:
Hope this helps:)
In ΔDEF, e = 8.7 inches, ∠F=8° and ∠D=34°. Find the length of f, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
The length of f to the nearest 10th of an inch is 1.8 inches.
What is Law of Sines?Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.
That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,
a / sin A = b / sin B = c / sin C
Given a triangle DEF.
The angles are given as, ∠F = 8° and ∠D = 34°.
We know,
Sum of the interior angles of a triangle = 180°
∠E = 180 - (8 + 34) = 138°
Using the law of sines,
f / sin F = e / sin E
f = (e / sin E) sin F
Substituting,
f = (8.7 / sin 138) sin 8
= 13.0019 × 0.1392
= 1.809
≈ 1.8
Hence the length of f to the nearest 10th of an inch is 1.8 inches.
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Which expressions are equivalent to 4m + 12? Choose all that apply. Whoever answers fastest, I’ll mark the Brainliest!
Answer: 1st and 3rd
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
6m-2m =4m
Hence 4m+12
A carpenter is building a rectangular room with a fixed perimeter of 100 m. What are the dimensions of the largest room that can be built? What is its area? 25m×25m,625m2 25m×50m,1250m2 50m×50m,2500m2 75m×25m,1875m2
We are given that a carpenter is building a rectangular room with a fixed perimeter of 100 m. the dimensions of the largest room that can be built are 25m x 25m and its area is 625 m². Option (a) 25m x 25m, 625m² is correct.
Let's suppose the length of the rectangular room is "l" and the width is "w".Then, the perimeter of the rectangular room will be:P = 2(l + w). So, 100 = 2(l + w)Or, l + w = 50. We need to maximize the area of the rectangular room, which is given as A = lw. Now, we have two variables in this equation and we also have an equation for the perimeter. For that, let's solve for one variable in terms of the other. We can solve for w as:w = 50 - l. Now, substitute this value of w in the equation for area: A = l(50 - l)
Simplifying, A = 50l - l²The area of the rectangular room is given by the quadratic equation: A = -l² + 50l. Here, a = -1 and b = 50. Substituting these values, we get: x = -50/(2 × -1) => x = 25This gives us the length of the rectangular room as 25 m. Substituting this value in the equation we derived for w:w = 50 - l = 50 - 25 = 25This gives us the width of the rectangular room as 25 m.
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Create ABC by drawing AC. AC represents the foreman’s line of sight to the top of the landfill. What is m
Where the above is given, the required angle m∠BAC = 45°.
In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC
What is triangle?The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°
According to conditions angle b = 90°
The sum of angles of a triangle= 180°
That is a + b + c = 180
Therefore, c = a
a = (180 - b)/2
= (180 - 90) / 2
= 90 / 2
= 45°
Hence, the required angle m∠BAC = 45°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?
A number divided by three is three
Answer:
9
Step-by-step explanation:
Need help please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 3x = 12 . the answer is d. x = 4
Complete the table for the given rule.
Rule: y = x + 3
у
5
Answer:
Step-by-step explanation:
x=y-3 this is your main formula to find x
first y=4-3=1 , x=1
second y=8-3=5 , x=5
third y=5-3=2, x=2
Find the perimeter area and/or volume of the given figure
According to the information the volume of this figure would be 16cm³ and the surface area of this figure would be 24cm²
How to calculate the surface area and volume of this figure?To calculate the surface area and volume of this figure we must perform the following procedure:
Volume:
Multiply height, width and length
2cm * 2cm *2cm = 16cm³
Surface area:
Multiply height by width and multiply the result by the number of faces the figure has.
2cm * 2cm = 4cm²
4cm² * 6 = 24cm²
According to the above, the volume of this figure is 16cm³ and the surface area is 24cm².
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What's the reciprocal of -2?
Answer:
-1/2
Step-by-step explanation:
i need help on this question brainliest on whoever gets it right
Answer: The attachment below is the answers to the graph/equation
Step-by-step explanation:
Jason and Abby finished a meal at a fancy restaurant and their bill was $136.89. They wanted to give the waiter a 20% tip. How much is the tip? _____ (remember to round to the nearest hundredth.) How much is their total bill, including the tip? _____
Compare the two integers below:
11____-1
<
>
=
Answer:
B. >
Step-by-step explanation:
Yes, you got it correct! Anything with a "-" is always less than a "+". Look at it this way:
I have 11 dollars (+11) and you owe me one dollar (-1). Now which is better?
Hope this helps
~R3VO