Answer:
Trey's rectangular prism will require more material to construct.
Explanation:
Trey's rectangular prism's surface area is more than Matt's rectangular prism's surface area.
Matt's prism volume is lower than Trey's prism, therefore Matt’s prism required more material to construct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm.
Volume of Trey's prism = 4 × 7 × 12 = 336 cm³
The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm.
Volume of Matt’s prism = 6 × 10 × 3 = 180 cm³
From the above calculation, Matt’s prism required more material to construct.
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High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer:
C
Step-by-step explanation:
magic
The region with the competition for resources is region C with the highest population density
What is Population Density?The population density, or the number of people divided by the area's size, is determined by the number of people who reside there. Numerous creatures' distribution, growth, and migration can all be explained by population density.
Population density = number of people / the area they occupy
Given data ,
Let the population density be represented as P
Region Population Area
A 1,312 212
B 630 314
C 16,400 625
D 17,800 902
Now , the state with the highest population density will have the greater competition for the resources
So , The population density in Region A = 1312 / 212 = 6.19
The population density in Region B = 630 / 314 = 2
The population density in Region C = 16400 / 625 = 26.24
The population density in Region D = 17800 / 902 = 19.7
Hence , the region C has the highest population density
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I really need help do can someone do it step by step so I can understand plzzzz
Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
Can anyone help me with this problem ? I would appreciate it a lot !
-
Find the area of the triangle
Answer:
D - 192
Step-by-step explanation:
So the solve this, lets use the formula for area of a triangle:
b*h / 2 = A
b is the base, h is the height.
In this case, our base is 32, and our height is unknown.
To find it we must use pythagreons theorm:
[tex]a^2+b^2=C^2[/tex]
a is half of the base in this case, since tecnically this iscoceles traingle(2 same sides) cut in half is 2 right triangles.
32/2 = 16
b is the unknown, and C is the hypotenuse(longest length) which is 20:
[tex]16^2+b^2=20^2[/tex]
[tex]256*b^2=400[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
So we know b, whihc is our height, is 12.
Plugging this in:
32*12 / 2 = A
384 / 2 = A
192 = A
So the area of the triangle is 192.
Hope this helps!
Answer:
D: 192 square ft
Step-by-step explanation:
We are given all 3 side lengths of the triangle, and we notice that 2 of the sides are congruent (the 2 sides that are 20 ft). Therefore, we can safley say that this triangle is isosceles. What this tells us is that the height bisects the base. This is important because we can say that the base for each of the right triangles created by the height is 16. From there, we can say that h = 12 because 20 and 16 are basically 4 and 5 multiplied by 4, which means that the side lengths form a scaled-up version of the Pythagorean Triple 3-4-5. Now, just calculate the area by doing [tex]\frac{1}{2}*32*12[/tex] (basically just half * base * height), which gives us 192 [tex]ft^{2}[/tex]. Hope this helps! Feel free to reach out if you have any further questions.
Hi, please help me with this math problem.
9514 1404 393
Answer:
-x +2
Step-by-step explanation:
The expression can be simplified as follows.
[tex]\sqrt{x^2-4x+4}=\sqrt{(x-2)^2}=|x-2|[/tex]
For negative values of its argument, the absolute value changes the sign.
For x < 1, x-2 is negative, so the simplified form is ...
-(x -2) . . . . . for x < 1
-x +2 . . . . . for x < 1
calcula la longitud de la variable "x"
Answer:
x=20
Step-by-step explanation:
30°-60°-90°Δ
a=10
b=20
c=10[tex]\sqrt{3}[/tex]
x=b
x=20
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
What is the greatest perfect square that is less than 55?.
A. 49
B.
46
C. 36
D. 55 is a perfect square.
Find the retail price.
Cost of article = $45
Percentage of markup (on cost) = 21%
Retail price = _____.
99.45
54.45
9.45
35.55
every parallelogram is a square?
every rectangle with four congruent sides is a square?
every rectangle is a quadrilateral?
every quadrilateral is a rectangle?
Answer:
every parallelogram is a square? False
every rectangle with four congruent sides is a square? True
every rectangle is a quadrilateral? True
every quadrilateral is a rectangle? False
Step-by-step explanation:
every parallelogram is a square?
A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.
every rectangle with four congruent sides is a square?
Square require 4 congruent sides and 4 right angles. Rectangles already have 4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.
every rectangle is a quadrilateral?
A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.
every quadrilateral is a rectangle?
A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answer:
a reflection across line m
Step-by-step explanation:
A reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K". Option B is correct.
What is reflection?Reflection is defined in an atmosphere as when the beam of light or wave strikes to the plane or curved surface deviates back from the atmosphere.
The final transformation is to determine that transition states have been shown in the image that describes how pre-image GHJK transformed to image G'H"J"K".
Steps of Transformation
Pre-image GHJK first rotates anticlockwise by an angle of 90° to G'H'J'K'.
Then G'H'J'K' reflected across the line m to G'H"J"K". It is the final transition state.
Thus, a reflection across lime m is the final transformation of pre-image GHJK to image G'H"J"K".
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I need help with number 2
Answer:1st because of the formula
Step-by-step explanation:
Answer:
Unlikely.
Step-by-step explanation:
Since the percentage is at least greater than 0%, it is not impossible. However, since it is less than 50%, it is highly unlikely.
Express 1/25 as a decimal fraction
Answer:
0.04
Step-by-step explanation:
If x = -5 and y = 2x^2,
then y = ?
Answer:
y = 50
Step-by-step explanation:
y = 2x^2
Let x= -5
y = 2(-5)^2
Power first
y = 2(25)
Then multiply
= 50
Line JK passes through J(2,7) and K(5, 11).
What is the slope of line JK?
Helppp
Answer: Slope is 4/3
Step-by-step explanation: slope is change of y / change of x
k = Δy/Δx = (7-11) /(2-5) = -4 / -3 = 4/3
Johns family consume 50dl of milk every day/How many litres of milk did they consume on february 2020
Answer:
1450dl
Step-by-step explanation:
29 days X 50dl = 1450dl
Question 10 What best describes Theoretical Probability? A.) Flipping a coin once to see if it's a heads or tails. B.) Using mathematical reasoning to determine how many heads, without flipping. C.) Picking a random number for the heads you will see. D.) Flipping a coin 100 times and seeing the number of times it is heads.
Answer:
B)
Step-by-step explanation:
Help
Asap please!!!!
Answer:
The slope is 3/4
Step-by-step explanation: slope= rise/run. from point (-2,0) to point (2,3), it rises 3 units and runs 4 units to the right. :)
Write the equation of the line
whose slope is 3 and y-intercept
is (0,7).
The equations should be written
in y-mx+b form.
Answer:
y = 3x+7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 3x+7
please help. the packet is due tonight
Answer:
[C] [tex]\displaystyle \frac{-3}{250}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationConjugationsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Multiplied Constant]: [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]DerivativesDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{\sqrt{x - 4}}[/tex]
[tex]\displaystyle g(29)[/tex]
Step 2: Differentiate
Substitute in function [Function g(x)]: [tex]\displaystyle g(x) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{x + h - 4}} - \frac{3}{\sqrt{x - 4}}}{h}[/tex]Substitute in x [Function g(x)]: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{29 + h - 4}} - \frac{3}{\sqrt{29 - 4}}}{h}[/tex]Simplify: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{25 + h}} - \frac{3}{5}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15}{5\sqrt{25 + h}} - \frac{3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15 - 3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex]Factor: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3(5 - \sqrt{25 + h})}{5\sqrt{25 + h}}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{3(5 - \sqrt{25 + h})}{5h\sqrt{25 + h}}[/tex]Rewrite [Limit Property - Multiplied Constant]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}}[/tex]Root Conjugation: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}} \cdot \frac{5 + \sqrt{25 + h}}{5 + \sqrt{25 + h}}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{5h\sqrt{25 + h} + h^2 + 25h}[/tex]Factor: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{h(5\sqrt{25 + h} + h + 25)}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + h} + h + 25}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + 0} + 0 + 25}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \cdot \frac{-1}{50}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{-3}{250}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Find the exact circumference if the circle has a radius of 12 cm
==========================================================
Explanation:
If the circumference is r = 12 cm, then the diameter is double that at d = 2*r = 2*12 = 24 cm.
This then leads to the circumference of C = pi*d = pi*24 = 24pi
This is exact in terms of pi. Replace pi with something like 3.14 to find its approximate value. The circumference is the distance around the circle's edge, aka perimeter.
You just hung a picture twelve inches above the wall trim. Your friend thinks the
picture looks crooked. Use what you know about parallel lines and transversals to
determine if the picture is level.
Step 1: You don't have a level, but you are in luck. You know the wall trim is level.
You have a protractor and the sun is casting a shadow on the wall. Describe how
you can determine if the picture is level.
: Assume you measured ∠3 and ∠5 and found them to be equal. Use the
spaces provided below to complete a formal proof that demonstrates the picture
is level with the trim.
Answer:
The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level
Step-by-step explanation:
Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight
If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture
With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured
The angles measured should be the same if the picture is level.
I hope this is correct. If not feel free to let me know and I will fix it. I'm sorry in advance if it is wrong.
What is the length of RS
O -8
O -4
O 4
O 8
uuhhh I need some help
and the 4th answer is 2 1/2
Answer:
Simple answer, 2 1/2
Step-by-step explanation:
5/8 divided by 1/4 is 2.5. 2 and 1/2 means there is 2 whole units, and half a unit. Making it 2 and 1 half
what is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8-2)/(9-6)
=6/3
=2
Answer: The slope of the linear function is 2.
Step-by-step explanation:
We can use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to find the slope
[tex]\frac{8-2}{9-6} \\\frac{6}{3} \\2[/tex]
The slope is 2.
what’s the answer and how do u get it
Answer:
Step-by-step explanation:
975 toffees are to be distributed among 23 children. Estimate the numbers of toffees that each child will get in nearest tens.
Answer:
40
Step-by-step explanation:
Total number of toffees = 975
Total number of children = 23
Estimate the numbers of toffees that each child will get in nearest tens.
Number of toffees each child get = Total number of toffees / Total number of children
= 975 / 23
= 42.391304347826
Approximately,
Number of toffees each child get = 40 to the nearest tens
Which types of graphs show frequencies with rectangular columns or bars? Select all that apply
A. histograms
B. circle graphs
C. stem-and-leaf display
D. bar graphs
E. dot plots
me too I don't know this and I need to know it
Answer:
The answers are A. Histograms and D. Bar Graphs.
Step-by-step explanation:
A histogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
A bar graph is a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.
write an equation for this graph.
Answer:
y = -2
Step-by-step explanation:
The graph shows y = -2.
Answer:
Can you make it better? because it looks so blur.
Now that you know the height of the cone how can you solve for the slant height?
Answer:
imagine a triangle
one side is just upwards trough the cone, one side is the radius of the circle and the last one is the slant height.
remember the pythagoras stuff
so
(slantheight)² = radius² + height²
or finally:
slantheight = squareroot (radius² + height²)
NO LINKS!!! PLEASE HELP ILL GIVE BRAINLIEST
Answer:
for number one it is 6
for number two it is 48
Step-by-step explanation:
please mark brainliest
Answer:
Step-by-step explanation:
1. 3 · 2 (First power) = 3 · 2 = 6
2. 3 · 2 (Fourth power) = 3 · 16 = 48