The diagram shows a cuboid with a volume of 42 cm³. K ? cm Work out the missing length of the cuboid. 2 cm 3 cm
Using the formula for the volume of cuboid that is the product of length, breadth and height, The answer is 7cm.
What is a cuboid?A cuboid is a three-dimensional shape with six rectangular faces, three of which are pairs of congruent squares and the other three are rectangles. It is also known as a rectangular prism. The opposite sides of a cuboid are parallel and equal in area. The length, width, and height of a cuboid are three of its measures of size.
What do you mean by volume and formula for volume of cuboid?The volume of a three-dimensional object is a measure of the amount of space it occupies. It is typically measured in units of cubic units, such as cubic centimeters (cm^3) or cubic meters (m^3). The formula for the volume of a cuboid is length x width x height. For example, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, its volume would be 5 x 3 x 2 = 30 cubic centimeters. In general, the volume of a three-dimensional object can be found by multiplying the area of its base by its height.
length = 2cm
breadth =3cm
volume = 42 cm³
volume = l*b*h
42 = 2*3*h
h= 42/6 =7cm
To learn more about cuboids visit:
https://brainly.com/question/29568631
#SPJ1
Based on the records for the past several seasons, a sports fan believes the probability the red team wins is . The fan also believes the probability the blue team wins is . In a season with games, how many games should the fan expect the red team to win?
See comment for complete question
Answer:
81 games
Step-by-step explanation:
Given
[tex]P(Red) = 0.45[/tex]
[tex]P(Blue) = 0.40[/tex]
[tex]n = 180[/tex]
Required
Expected game the red team will win
Expected number is calculated as:
[tex]E(x) = n * P(x)[/tex]
In this case, the number of winnings for the red team is:
[tex]Expected = 180 * P(Red)[/tex]
[tex]Expected = 180 * 0.45[/tex]
[tex]Expected = 81[/tex]
Jane is making lunch for 12 people. she is serving hotdogs and plans on each person get eating two hotdogs. hotdog buns are sold in packages of eight. which expression can be used to find the number of packages she needs to buy?
He must purchase 3 packages of hot dogs and 2 packages of hot dog buns for a total of 24 hot dogs with buns if he doesn't want to have any leftover hot dogs or buns. You should be aware that students might respond with 24, which is the least common multiple of 8 and 12.
What are hot dog buns known as?The hot dog buns most frequently used in the American region of New England and its cuisine are New England-style hot dog buns, also referred to as New England hot dog buns or top-loading hot dog buns.
What does the slang term "hot dogs" mean?As you can see, "hot dog" is a versatile word that can be used as a noun, verb, adjective, or even as an exclamation.
To know more about common multiple visit:-
brainly.com/question/30060162
#SPJ1
Which rule describes the relationship between the ex and Y coordinates on the following graph
choose 1 answer:
A) y = x
B) y = 2x -2
(PICTURE INCLUDED WHOEVER GETS IT RIGHT FIRST GETS MARKED BRAINLIEST)
Answer:
A, y = x
Step-by-step explanation:
Slope is equal to one
Y-intercept is origin
Answer:
A.) Y=X
Step-by-step explanation:
It intercepts with origin
Solve the systems algebraically please help :(
Answer:
I don't really know but I will help you if I can
What is the Contrapositive of P → Q?
"If p then q" is a conditional statement, and its contrapositive is If ~q then ~p.
Knowing about the inverse statement makes it simple to comprehend how to build a contrapositive statement. Take the negation of the hypothesis and the conclusion to produce the conditional statement's opposite.
Create the inverted statement first, then swap the hypothesis and conclusion to create the contrapositive of the conditional statement. Adding "not" to both component statements and switching the order of the provided conditional statements will result in contrapositive assertions, in other words.
If a number n is even, then n2 is even, and vice versa, is the contrapositive statement to "If a number n is even, then n2 is even."
To learn more about contrapositive here:
https://brainly.com/question/5306301
#SPJ4
What is the 3 variable?
A three-variable system is a system of equations or inequalities involving three variables.
The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.
To know more about variable here
https://brainly.com/question/14706863
#SPJ4
•18 POINTS• (don’t answer icebrain)
a.)
b.)
c.)
Answer: C
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
In this case, 16 is the hypotenuse (the longest side of a right triangle) and 13 is the leg.
Use the graph of the function to find the domain and range of f (Enter your answers using interval notation)
In the given graph the domain and range of function y=f(x) is
Domain: (-2,2]
Range : [-4, 5)
What is domain and range?A function's domain is the set of all possible inputs to the function. This means it can be any number that can be entered into a function. For the majority of functions, this will be any number that can be substituted for the letter x. Except for a few exceptions such as square root functions and rational numbers, your domain will almost always be all real numbers.
The set of all possible outputs of a function is referred to as its range. This is usually represented by the letters y or f(x). The range is any number obtained by substituting any number for x.
Learn more about domain and range
https://brainly.com/question/28135761
#SPJ1
What is line segment Theorem?
Line segment theorem states that if a line segment is bisected by another line, then the two parts of the line segment are equal.
This theorem is also known as the Midpoint Theorem. The formula for the Line Segment Theorem is A/B = C/D, where A and C are the two halves of the line segment, and B and D are the distances from the midpoint to the two endpoints of the line segment.
For example, consider a line segment AB with endpoints at A(-3, 2) and B(3, 2). The midpoint of the line segment is at (0,2). To calculate the length of each half of the line segment, we would use the distance formula and plug in the coordinates of the two endpoints and the midpoint.
For half A, the distance is d(A, M) = sqrt[(-3 - 0)^2 + (2 -2)^2] = 3.
For half C, the distance is d(M, B) = sqrt[(3 - 0)^2 + (2 -2)^2] = 3.
Therefore, A/B = 3/3 = 1 and C/D = 3/3 = 1. This confirms that the two halves of the line segment are equal in length.
Learn more about Line segment theorem here:
https://brainly.com/question/12858856
#SPJ4
find the measurement of angle 7
Answer:
76 degrees
Step-by-step explanation:
find angle 5 by subtracting 76 from 180 to get 104 degrees
the find angle 7 by subtracting 104 from 180 to get 76
180-76 =104
180-104=76
Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
The greatest number of classrooms is 4, Joanne can distribute materials
5 flyers and 4 buttons.
What is the greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor or GCF.
Given:
Joanne is campaigning for class president and plans to distribute some campaign materials.
20 flyers and 16 buttons.
She wants each classroom to receive an identical set of campaign materials, without having any materials left over.
In order to find the greatest number of classrooms, Joanne can distribute materials:
We have,
the number of flyers = 20.
Number of buttons = 16
We need to find the GCF.
GCF of 16 - 1,2,4,8,16
GCF of 20-1,2,4,5,10,20
Clearly, 4 is the GCF.
Therefore, total number of classrooms = 4
Number of flyers distributed to each classroom
= Total number of flyers / Total number of classroom
= 20/4
= 5
Number of buttons distributed to each classroom
= Total number of buttons/ Total number of classrooms
= 16/4
= 4
Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.
To learn more about the greatest common factor;
https://brainly.com/question/11221202
#SPJ1
Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice. How many gallons of the original mixture did Gracie pour out? Express your answer as a common fraction.
Gracie poured out 3/10 gallons of the original mixture.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice.
Assume that she pour out {x} gallons of original mixture. We can write -
{50% of 2} - {x} = {(100 - 65)% of 2}
{50/100 x 2} - {x} = {35/100 x 2}
{1/2 x 2} - {x} = {35/100 x 2}
1 - x = 7/10
1 - 0.7 = x
x = 0.3
x = 3/10
Therefore, Gracie poured out 3/10 gallons of the original mixture.
To solve more questions on percentage, visit the link below -
brainly.com/question/24159063
#SPJ1
What is sin E for this triangle?
Enter your answer by filling in the boxes.
E
g
F
sin E =
I
e
Answer:
e/f
Step-by-step explanation:
sin =opposite/ hypothenuse
e is opposite
f is hypothenuse
With respect to the reference angle E, sinE = e/f.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know, sin is opposite over hypotenuse.
From the given figure, With respect to the reference angle E,
opposite is FG and hypotenuse is EG.
Therefore, sinE = FG/EG.
sinE = e/f.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ7
heyy! i’ll give brainliest please help
my helpers help me again -^-
Answer:
g= 92°
h= 88°
k= 91°
m= 89°
Step-by-step explanation:
Answer:
g = 92°
h = 88°
k = 91°
m = 89°
Step-by-step explanation:
Have a nice day!
Quadrilateral ABCD is given with ∡A=35°, ∡B=40°, ∡C=(5x+5)°, and ∡D=(5x)°. What is the value of x?
A. x = 6
B. x = 10
C. x = 28
D. x = 7
Answer:
C) x = 28
Step-by-step explanation:
35 + 40 + 5x+5 + 5x = 360
10x + 80 = 360
10x = 280
x = 28
can someone pls help
Answer:
10 walnuts..
Step-by-step explanation:
12 - 2 = 10
Answer:
10?
Step-by-step explanation:
12-2=10
PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
i think c < 7
Step-by-step explanation:
let me know if this incorrect
Answer:
c < 7
Step-by-step explanation:
If she plans to buy fewer then 7 the inequality would be c is less than 7.
Picture is how you graph that. Since c is less than 7 you would go left. The circle is open because c is not equal to 7.
find the total surface area of this cuboid.
The total surface area of the cuboid is 2 (lh + lw+ hw) square units.
What is surface?A surface is the part of solid matter that can be touched by hand or seen with eyes. In other words, it is the place where the solid matter encounters the outside world through contact, light, etc. Solid matter not only effects humans with its surface, but also air, water, and other solid matter. Therefore, things around us work cooperatively with the outside world and with other things through surfaces, without a surface, solid matter would not be able to interact with anything.By changing the characteristics of solid matter, interactions such as the impact on the solid matter from other things (such as environmental conditions and people) as well as the effect that solid matter has on other things can be changed. In other words, certain features of the solid matter can be controlled as needed.To learn more about surface refer to:
https://brainly.com/question/1297098
#SPJ1
Find the measure of the indicated angle. Need help please.
I need explanation too,
THANK YOU
Answer:
AC=28
Step-by-step explanation:
Angle C=180-91-59=30
Sin30=14/AC
AC=14/sin30
AC=28
PLEASE HELPPPPPP..........
Answer:
D.
Step-by-step explanation:
Polyhedron
Answer:
Polyhedron
Step-by-step explanation:
A solid that is bounded by polygons, called faces, that enclose a single region of space.
PLEASE HELP!!
The function f(x) has a vertical asymptote at x = [BLANK].
Answer:
-4
Step-by-step explanation:
The number y of duckweed fronds in a pond after t days is y=a(1230. 25)t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round your answer to the nearest whole number
The duckweed increases by a percentage each day which is calculated by the equation
(1230.25t/16)/a - 1.
This equation can be further simplified to 1230.25t/16a - 1 and then multiplied by 100 to get a percentage.
So the percentage increase of duckweed each day is calculated by multiplying 1230.25t/16a - 1 by 100.
1230.25t/16a×100
This will give us the percentage of increase each day, rounded to the nearest whole number.
For example, if the initial number of fronds is 1000 and the number of days is 2, the percentage increase of duckweed will be (1230.25(2)/16(1000)) - 1 = 24.6%, rounded to the nearest whole number which is 25%.
Learn more about percentage:
https://brainly.com/question/24877689
#SPJ4
John makes 44,000 a year. if he gets a 3% raise how much will he make the next year?
A. $44,200
B. $42,680
C. $57,200
D. $45,320
Answer: D. $45,320
Step-by-step explanation:
Simply multiply 44,000 by 0.003 and add that to 44,000!
PLZZ HELP RN ASAP I NEED THIS RN TYSM
Answer:
34
Step-by-step explanation:
a + 90 + 56 = 180
a + 146 = 180
a = 180 - 146
a = 34
Can a polynomial have no zero?
A quadratic polynomial does not cross the x axis at any point since it has no zeros.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
x^2 - 2x + 5 when compared with the standard form of the quadratic equation, a = 1, b=- 2, c=5
Value of the discriminant =b^2 - 4 ac
= (-2)2 - 4(1) (5)= 4 - 20
= - 15
The value of the discriminant is negative i.e less than zero.
Hence, the quadratic equation x^2 - 2x + 5 has no real zeroes.
Since a quadratic polynomial may only have two real roots, the number of times the graph will cross the x-axis at most is two, and at least zero when there are no roots in the equation.
For more questions on Polynomials
https://brainly.com/question/30111198
#SPJ4
Dean Wormer wants to compare the grade point average of athletes at Faber College with the overall grade point average at Faber College. She randomly selects three students from each team and determines that their combined grade point average, 2. 3, is the same as that of all students at Faber. In this example, what is the population
yes it is the same as that of all students at Faber GPAs as 2.32 and lower will mean that a track team athlete will be recommended for extra tutoring and population is 2.3* student number
What is the definition of a population?
In ordinary usage, a population is a distinct group of individuals with shared citizenship, identity, or characteristics. In statistics, a population is a representative sample of a larger group of people (or even things) with one or more characteristics in common.
When the distribution is normal, we use the z-score formula.
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
learn more about of population here
https://brainly.com/question/17045760
#SPJ4
Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the product of the greatest common factor and the least common multiple of 12 and 8.
Answer:
Product: 96
GCF: 4
LCM: 24
Product of the GCF and LCM: 96
Step-by-step explanation:
Product - The answer to a multiplication problem.GCF - The greatest positive integer that evenly divides both numbers.LCM - The smallest multiple that both numbers have in common.Now that we know what definitions are, we can solve this word problem.
12 × 8 = 96.
96 is the product.
To find the greatest common factor, we can list all of the factors for each number.
12: 1, 2, 3, 4, 6, 12
8: 1, 2, 4, 8
The largest factor both numbers have in common is 4.
Therefore, 4 is the greatest common factor.
To find the least common multiple, we can list the multiples of both numbers.
12: 12, 24, 36, 48, 60, 72, 84, 96
8: 8, 16, 24, 32, 40, 48, 56, 64
The smallest multiple both numbers have in common is 24.
Therefore, 24 is the least common multiple.
Lastly, we have to find the product of the GCF and the LCM.
The GCF is 4 and the LCM is 24.
4 × 24 = 96.
96 is the product.
Therefore, 96 is the product of the greatest common factor and the least common factor of 12 and 8.
Jamie's sister loaned her $15. She now has at least $50 to purchase new boots. What is m, the amount of money Jamie had before her sister loaned her the money? Write an inequality to represent this situation.
15m ≥ 50
15m > 50
m + 15 ≥ 50
m + 15 > 50
Answer:
m + 15 ≥ 50
Step-by-step explanation:
Jamie's sister gave her 15 dollars on top of what she already had. This means that it was added to her own money, m. Also, the statement says that she has at least 50; this means that she has an amount equal to or greater than 50. Therefore, the third option, m + 15 ≥ 50, is correct.