The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm².
The height of the open box is (x - 2) cm.
I have attached a pic
(I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)
+ the answer for (bi) if you can’t see it, it is 4.28 and -6.78
This is the question:
b) (ii) Hence calculate the volume of the box, stating the units of your answer.
Answers
The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.
What is volume?Volume is the measure of the amount of 3-dimensional space occupied by an object or substance. It is usually measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in mathematics, physics, chemistry, and engineering, and is used to calculate the amount of material needed for a given project.
The volume of the box can be calculated by multiplying the area of the base with the height of the box. The area of the base is 58 cm² and the height of the box is x - 2 cm. Therefore, the volume of the box can be expressed as:
Volume = 58 cm² x (x - 2 cm)
= 58 cm³
The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.
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Related Questions
picture shown. what is the volume of the rectangular pyramid?
Answers
Answer:
answer is 187.2
Step-by-step explanation:
5.2 times 4 times 9= 187.2
Volume ? Length: 5 inches
Width: 3 inches
Height: 7.2 inches
Answers
What number is 0.1 more than 25.78
Answers
Answer:
A
Step-by-step explanation:
"More than" can be taken as "that part extra", thus, addition can be helpful. The number which is 0.1 more than 25.78 is given by Option A: 25.88
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
The number needed is 0.1 more than 25.78
When we add something to a number(some positive thing), we increase that thing and make it more than what it was before.
The expression "c is a more than b" means c = b + a
(b had to increase by 'a' to get equal to c, so c was already 'a' more than b)
The needed number will be 0.1 + 25.78 = 0.10 + 25.78 = 25.88
Thus, the number which is The number which is 0.1 more than 25.78 is given by Option A: 25.88
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need help asap! will give brainlist!!!!
Answers
Answer:
Although i am not sure, I believe the answer is 56.
Step-by-step explanation:
A right angle is 90 degrees.
90 - 28 = 62
by the looks of it, the angle on to of the place of the 62 looks identical, so i will assume it is also 62 degrees.
62 + 62 = 124
180 - 124 = 56
So that is why I believe it is 56.
(I may either be completly right or completely wrong. If it has answer choices, look at them and see if it is an option)
Hope it helped anyways!
How many positive two-digit integers are multiples of 5 and of 7?
Answers
The number of positive two-digit integers that are multiples of 5 and 7 are 2
What ae multiples?In mathematics, multiples are the results of multiplying an integer by a given number.
The multiples of 5 and 7 within 10 to 100 are
35 and 70
multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95
multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98
The common numbers are 2 which are 35 and 70
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Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.
Answers
Answer:
244 in^2
Step-by-step explanation:
We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.
7x2 = 212x2 = 212x7 = 2The prism has six sides, so check that whatever list you make lines up.
one side is equal to 14 in^2, so both sides have a total area 28 in^2one side is equal to 24 in^2, so both sides have a total area of 48 in^2one side is equal to 84 in^2, so both sides have a total area of 168 in^2Now we can add all this up, 28 + 48 + 168 = 244 in^2 !
What is the value of the expression 6y-12 when y=5
Plz help
Answers
Answer:
18
Step-by-step explanation:
6y-12
= 6(5) - 12
= 30 - 12
= 18
How do you know what to multiply in elimination?
Answers
Answer:
See below
Step-by-step explanation:
When nether of the variable will fall out when adding together. For example:
2x + 5y = 13
-2x + 7y = 17
When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30
Now another example where the neither the x or y falls out.
x + 5y = 12
2x + 3y= 9
When I add these together, neither variable falls out.
3x + 8y = 21
BUT, if I multiply x + 5y = 12 though by -2 I get
-2x -10y = -24
Now when I add the two equation together the x's will drop out.
-2x -10y = -24
2x + 3y = 9
-7y = --15
HELP ASAP , im stuck on what one which of the following points represents the complex number 6-3xi ?
Answers
Answer:
awser is D. I did the text
11. Which statement suggests causation?
a) When you are at the beach, you get
wet.
b) When you study for a test, your
classmate studies too.
c) When you carry an umbrella to school,
it rains.
d) When you don't brush your teeth, you
get cavities.
Answers
hope this helps :)
Choose the best description of the data used to generate this histogram (note that the horizontal axis has no scale, so you will make your choice based solely upon the histogram's shape): OSAT Math scores of 1,000 future engineers and scientists. O Results of rolling a six-sided die 1,000 times. Cholesterol levels of 1,000 adults. O Shoe sizes of 1,000 men and women. O Prices of 1,000 California homes. * That is not quite right. The bulk of the SAT Math scores of engineers and scientists would be high scores, since people interested in those fields are usually good at math. So that distribution would be skewed left. Please try again.
Answers
On solving the provided question we can say that so the value of the data from histogram graphs will be x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs
so the value of the data from histogram graphs will be
z = 0.123
u = 100
x = 125
x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
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what is a possible rule for a mug wump family member
Answers
Answer:
NO Results Found
Step-by-step explanation:
mrk me brainliest
becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together
Answers
Answer:
25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
Step-by-step explanation:
To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.
Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".
We know that:
The total amount of the mixture is 28 grams
The mixture is 30% protein
The first ingredient is 50% protein
The second ingredient is 25% protein
We can set up the following equations to represent the problem:
x + y = 28 (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28)
Which gives us:
0.50x + 7 - 0.25x = 8.4
And further simplifying
0.25x = 0.6
x = 2.4
Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:
y = 28 - x = 28 - 2.4 = 25.6 grams
So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
Graph the Following parent function
Answers
Answer:
see attached
Step-by-step explanation:
You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).
TransformationThe replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.
The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.
The translated, reflected graph is shown in blue in the attachment.
928.89 The 8 in the ones place is ____________ times the value of the 8 in the tenths place.
Answers
Answer:
0.1 times
hope this helps
have a good day :)
Step-by-step explanation:
Sangeeta divide R 40000 between her two daughterRimmy and Simmi in the ratio 3:5 Find the hare of each daughter
Answers
share of rimmy and simmi is rs15000 and rs25000.
this question is of ratio and proportion, and the solution is as follows,
total amount = rs 40000
Rimmy and Simmi in the ratio = 3:5
sum of shares= 3+ 5 = 8.
so,
share of Rimmy is = 3/8 X 40000
= 120000/8
= 15000
share of simmi is = 5/8 X 40000
= 200000/8
= 25000
so the share of rimmy and simmi is rs15000 and rs25000.
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Find the vertex of the function if x=1
options:
(1,24)
(1,30)
(1,32)
(1,41)
Answers
Answer:
(1, 41)Step-by-step explanation:
h = 1
k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41
What is the volume of the figure?
Answers
144 cubic inches
Step-by-step explanation:
V=lwh
6x4=24
24x6=144
A. 2miles
B.200 miles
C.6 miles
Please help
Answers
Answer:
The answer to this is B. :D
This is geometry. Please help. Will mark brainliest.
Answers
Answer:
51
Step-by-step explanation:
The figure below shows a diagram of a reading room. The perimeter of the reading room is 60 feet. What is the width,w, of the reading room?
Answers
Answer:
the answer is 20ft the second choice B
Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)
Answers
Answer:
Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.
Step-by-step explanation:
John flew a kite. He started flying the kite at 2:20 pm and ended at 3:14 pm. How many minutes did John fly a kite?
47 minutes
50 minutes
54 minutes
55 minutes
Answers
Answer:
the answer is 54 minutes
Answer:
Step-by-step explanation:
47
whats this shape called?
Answers
Answer:
a rhombus
Step-by-step explanation:
Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.
What are the coordinates of the image of vertex P?
Answers
The x- coordinate of the vertex P is -4 and the y coordinate is -3. The coordinates of the image of vertex P is thus, (-4, -3).
What are coordinates?Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.
The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.
For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).
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Each square inch of your body has about 6. 5 × 10^2 pores. Suppose the top of your foot has an area of about 2. 0 × 10^1 in. ^2. About how many pores are on the top of your foot?
Answers
The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.
To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.
The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:
2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores
So, there are approximately 13,000 pores on the top of your foot.
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On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3).
The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply.
∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B.
CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.
Answers
The true statements after a dilation of scale factor 3 are,
∠A corresponds to ∠A' and Triangle ABC is similar to triangle A'B'C'.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, The points of ABC are (negative 3, 3), (- 1, 1), and (- 3, 1).
The points of A'BC' are (- 9, 9), (- 3, 3), and (- 9, 3) after a dilation of 3, (x, y) ⇒ (3x, 3y).
We know dilation maintains the similarity of the dilated figures.
Therefore, The statements that are true,
∠A corresponds to ∠A' as dilation maintains similarity.
Triangle ABC is similar to triangle A'B'C'.
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Answer:
Options A,B,C,E
Step-by-step explanation:
Will Give Brainliest!!! 1. For the circle with equation , answer each question.
(a) What are the coordinates of the center?
(b) What is the radius of the circle?
(c) What is the diameter of the circle?
Answers
a) The coordinates of the center is (2 ,-3)
b) The radius of the circle is 3
c) The diameter of the circle is twice the radius = 2(3) = 6
Now, According to the question:
a) The equation of a circle is given by
[tex](x-h)^2 + (y-k)^2 =r^2[/tex]
where (h, k) is the center and r is the radius
(x - 2)² + (y+3)² = 9
(x - 2)² + (y- -3)² = 3^2
The coordinates of the center is (2 ,-3)
b) The radius of the circle is 3
c) The diameter of the circle is twice the radius = 2(3) = 6
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The complete question is this:
For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius of the circle?
(c) What is the diameter of the circle?
NEED HELP ASAP
IF ITS NOT AN ACTUAL ANSWER, DONT ANSWER PLEASE!
Answers
Answer:
95
Step-by-step explanation:
180-35-50=95
Answer:
Its 95 i was wrong
Step-by-step explanation:
Mike is a sales person in a retail carpet store he paid 500 base salary per month plus 5% commission on sales over 10,000. His sales this month were 23,750 his total deductions were 152.75 What is the total amount on which mike could earn commission? What was the total amount of mikes commission? What was mikes base salary plus commission? What's mike net pay?
Answers
Answer:
Total amount on which Mike could earn commission:
Mike can earn amounts on sales over $10,000 so the commission amount is:
= 23,750 - 10,000
= $13,750
Total amount of Mike's compensation:
= 5% * 13,750
= $687.50
Mikes base salary plus commission:
= 500 + 687.50
= $1,187.50
Mike's net pay:
= Gross pay - deductions
= 1,187.50 - 152.75
= $1,034.75