Answers
Answer:
122.7 cm³
Step-by-step explanation:
Volume of composite figure:Square pyramid:
a = 4 cm ; h = 4 cm
[tex]\boxed{\text{Volume of square pyramid = $\dfrac{1}{3}$*base area * height}}[/tex]
[tex]\sf = \dfrac{1}{3}*a^{2}*h\\\\ =\dfrac{1}{3}*4*4*4\\\\ = 21.3 \ cm^3[/tex]
Rectangular prism:
l = 6 cm ; w = 6 cm ; h = 4 cm
[tex]\boxed{\text{Volume of rectangular prism = l*w*h}}[/tex]
= 6 * 6 * 4
= 144 cm³
Volume of composite figure = volume of rectangular prism - volume of pyramid= 144 - 21.3
= 122.7 cm³
Related Questions
Hunh put 4000 in a savings account that earns 7% simple inerest annually after 5 years, how much money will hunh have ?
Answers
Answer:
5,400.00
Step-by-step explanation:
hope this helps
Susan has some beads in a bag.!!
5 of the beads are orange.!!
3 of the beads are purple.!!
The rest of the beads are pink. !Susan takes a bead from the bag at random.! The probability that she takes a pink bead is ⅗!How many pink beads are in the bag before Susan takes a bead?
Answers
Answer:
12
Step-by-step explanation:
If there are 5 orange beads, and 3 purple beads, that means there is 8 beads that aren't pink in the bag.
If the rest are pink, and it's 3/5, that means 8 is 2/5. Divide by 2, and 4 is 1/5.
We can conclude that there are 12 pink beads, which is 3/5 of the total beads, by adding 2/5 and 1/5 (8 and 4)
The remaining 2/5 are the orange and purple beads.
Which figure repeats in the tessellation shown below?
A
B
C
D
A. Figure A
B. Figure C
C. Figure B
D. Figure D
Answers
Answer:
D. Figure
Step-by-step explanation:
Because it go's black cream black cream and D is the only one that shows that
Hope This Helped
The correct figure for repeats in the tessellation shown is shown in
''Option D''.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The tessellation shown in image.
Now, By figure of the tessellation shown we get;
Figure shown in option D is figure for repeats in the tessellation
Thus, The correct figure for repeats in the tessellation shown is shown in
''Option D''.
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Please help!!!
Give clear explanation for questions
Answers
Answer:
See below ~
Step-by-step explanation:
Finding the distance of each side length :
AB = √(3 - 0)² + (0 - 4)² = √9 + 16 = √25 = 5BC = √(7 - 3)² + (3 - 0)² = √16 + 9 = 5CD = √(4 - 7)² + (7 - 3)² = √9 + 16 = 5DA = √(4 - 0)² + (7 - 4)² = √16 + 9 = 5All sides are equalHence, it is a squarePerimeter :
4 x side length4 x 520 unitsArea :
(side length)²(5)²25 square unitsAnswer:
Step-by-step explanation:
Please help me!! It’s very easy I think
Answers
Answer:
Step-by-step explanation:
area=s*s
=3*4
=12cm squared
Perimeter=S+S+S+S
= 4+4+3+3
=14cm
HOPE I HELPED
A triangle has a base that is 19 inches long, and a height of 12 inches. What is the area of the triangle?
Answers
Answer:
[tex]144[/tex] [tex]inches^2[/tex]
Step-by-step explanation:
Hey there!
In order to find the area of a triangle, you need to:
Multplipy the base by the height
Then you take that product and multiply it by 1/2 (basically divide it by 2)
Then you get your area!
Base: 19
Height: 12
19 x 12
228
228 x 1/2
228/2
114
So the area of this triangle is [tex]144[/tex] [tex]inches^2[/tex]
The taylor series about x=5 for a certain function converges
Answers
The evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.
What is taylor's series?We know the fromula of taylor series is given as:
[tex]f(x)=f(a)+\dfrac{f'((a)}{1!}(x-a)+\dfrac{f''(a)}{2!}(x-a)^2+\dfrac{f'''(a)}{3!}(x-a)^3.................[/tex]
Now for the function [tex]f(x)=e^x[/tex] the taylor's series will become.
[tex]f(x)=e^a+e^ax+\dfrac{e^ax^2}{2!}+\dfrac{e^ax^3}{3!}+\dfrac{e^ax^4}{4!}[/tex]
[tex]f(x)=1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!}[/tex]
So at x=5 the values will become
[tex]f(x)=1+5+12.5+20.83+26.04=65.37[/tex]
hence the evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.
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does anyone know how to do this?
Answers
Answer:
[tex]196 m^{2}[/tex]
Step-by-step explanation:
A square is a shape that which all sides are equal
14 is one side of the square and to find the area of a square/rectangle, you do length*width
14*14=196
Keshawn is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Keshawn's test score (out of 40) if he got 6 questions wrong? What would be his score if he got xx questions wrong?
Answers
Answer:
28
Step-by-step explanation:
each question is worth 2 points and he missed 6,6 times 2 is 12.therefore you subtract 40 by 12 and get 28 :)
4n^2-15n-25 factor trinomials pls help me on this i would love if you would put the steps too thank you
Answers
---Multiply a x c
Quadratic Form: ax^2 + bx + c
4 x -25 = -100
---Find a factor pair of -100 that adds up to -15
-20 x 5 = - 100
-20 + 5 = -15
---Separate the b term into your two factors
4n^2 + 5n - 20n - 25
This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.
---Factor each binomial
n(4n + 5) - 5 (4n + 5)
---Rewrite
(n - 5)(4n + 5)
What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.
Answer: (n - 5)(4n + 5)
Hope this helps!
You flip a coin and use a random numer generator to generate a number 1 to 8. What is the probability that the coin shows tails and is the number 2
Answers
probability of getting a tail , PA = 1/2
probability of gettin a number 2 , PB = 1/8
now ,
the probability to get tail and 2 = PA x PB = 1/2 x 1/8 = 1/16.
hence it's the answer.
By : Modern Einstein
Pleaseeee helpppp!!
the function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. the function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
Answers
The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy companyThe function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company
The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.
The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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The probability of pulling a blue marble from a bag is 0.25.
Which bags of marbles are good models for this probability?
Select two that apply.
✓5 yellow, 9 red, 3 blue
6 yellow, 5 red, 10 blue, 12 green, 7 purple
10 yellow, 3 red, 10 blue
O 1 yellow, 2 red, 3 blue, 5 green, 1 purple
Answers
Answer:
The second and fourth choices.
Step-by-step explanation:
Probability of getting a blue marble = 0.25 = 1/4.
Therefore the number of blue bags will be 1/4 of the total of marbles.
The second choice has 10 blue marbles out of a total of 40, so this is one.
The 4th bag has 12 marbles of which 3 are blue. 3/12 = 1/4 so this is another answer which is correct.
Answer:
option 2 and 4
Step-by-step explanation:
add up all the values given then divide the number of blue given.
Find the area of this parallelogram
4 units
4.5 units
6 units
Answers
Answer:
it would be 24 or 27
Step-by-step explanation:
because for a parralelogram you multiply the base and height and you gave 3 numbers so it is either 6 times 4 which is 24.or you multiply 6 times 4.5 and get 27.
39 and 25 same setup as the problem to the left. Fill in the blanks
Answers
what is the answer for (b)?
Answers
Answer:
(b) ∠ADC = 60°Step-by-step explanation:
ΔBOC is isosceles and M is the midpoint of BC
then
∠MOC = ∠BOM = 30°
then
∠BOC = 60°
……………………
OC // AB
then
∠ABO = ∠BOC = 60° (alternate-interior angles)
……………………………………………
In ΔOAB ,we have :
OA = OB and ∠ABO = 60°
Then ,
ΔOAB is an equilateral triangle.
then
∠AOB = 60°
……………………………
We get :
∠AOC = ∠AOB + ∠BOC = 60° + 60° = 120°
……………………………………………………
∠ADC = ∠AOC/2 = 120/2 = 60°
HELP ASAP WILL MARK BRAINLIEST
Which equation is true?
Answers
Answer:
C Hope this helps This may be wrong though
Step-by-step explanation:
An experiment consists of rolling a number cube. What is the probability of rolling two 4's in a row?
Answers
Answer:2/12
Step-by-step explanation:
2/12 is the probability of rolling 2 4's in a row.
The lines shown below are perpendicular. If the green line has a slope of 2/5, what is the slope of the red line?
A. - 2/5
B. - 5/2
C. 5/2
D. 2/5
Answers
A box contains a total of 30 paper clips with colors in the ratio red:white:blue = 2:5:3. Suppose that one paper clip of each color is removed from the box and not replaced. What is the probability that the next paper clip chosen will be blue?
A: 5/27
B: 2/7
C: 8/27
D: 3/10
Answers
Answer:
C.8/27
Step-by-step explanation:
Solve for k
18 = -k + 3
Answers
[tex] \Large{\boxed{\sf k = -15}} [/tex]
[tex] \\ [/tex]
Explanation :Given equation:
[tex] \sf 18 = -k + 3 [/tex]
[tex] \\ [/tex]
Subtract 3 from both sides:
[tex] \sf 18 - 3 = -k + 3 - 3 \\ \\ \sf 15 = -k [/tex]
[tex] \\ [/tex]
Divide each side by -1:
[tex] \sf \dfrac{15}{-1} = \dfrac{-k}{-1} \\ \\ \\ \boxed{\boxed{\sf k = -15}} [/tex]
[tex] \\ \\ [/tex]
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Which set of order pairs does not represent a function?
A. {(−2,−6),(0,−4),(1,9),(3,−4)}
B. {(4,3),(−4,−8),(5,3),(−5,4)}
C. {(−6,−2),(6,2),(−7,−4),(−7,−3)}
D. {(0,−4),(−6,9),(7,5),(2,5)}
Answers
James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallons of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(100 POINTS!!!!)
Answers
Answer:
3/8 gallons
Step-by-step explanation:
Let T be the total amount of water which can fill the bin.
The equation formed will be :
2/3 × T = 1/4 gallonsNow, multiply each side by 3 :
3 × 2/3 × T = 1/4 × 32T = 3/4Divide each side by 2 :
2T/2 = 3/4 x 1/2T = 3/8 gallonsLet the total gallons be x
1/4=2/3xMultiply 3 to complete whole bin
3/4=2/3(3)x3/4=2xx=3/8gallonsThe rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is the distance between park station 1 and the point where the flare was set off? Round to the nearest tenth.
Answers
The distance between park station 1 and the point where the flare was set off is 73.9 km.
What is distance?Distance is the length between two points expressed in meters or kilometers.
To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule
Formula:
a/sinA = b/sinB....................... Equation 1Where:
a = Distance between park station 1 and the point where the flare was set off.Make a the subject of the equation
a = bsinA/sinB............ Equation 2From the diagram,
Given:
A = 59°B = (180-59-75) = 46°b = 6.2 kmSubstitute these values into equation 2
a = 6.2(sin59°)/(sin46°)a = 73.9 kmHence, the distance between park station 1 and the point where the flare was set off is 73.9 km.
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[1/3] to the power of 4 as a fraction
Answers
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
[tex](\frac{1}{3} )^{4}[/tex]
We know this is written as
[tex]\frac{1}{3}*\frac{1}{3}*\frac{1}{3}*\frac{1}{3}[/tex]
Let's solve:
[tex]\frac{1}{3} * \frac{1}{3} = \frac{1}{9}\\ \frac{1}{9} *\frac{1}{3} = \frac{1}{27} \\\frac{1}{27} * \frac{1}{3} = \frac{1}{81}[/tex]
simplify 5^-4/5^4 help me please
Answers
Answer:
[tex]5^{-8}[/tex]
Step-by-step explanation:
Exponent law:[tex]\sf \boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]
[tex]\sf \dfrac{5^{-4}}{5^{4}}=5^{-4-4}[/tex]
[tex]= 5^{-8}[/tex]
Solve this problem , please
Answers
Answer:
1. 20.724 or 6.6π
2.3.14 or π
3. 15.7 or 5π
4. 9.42 or 3π
5. 25.12 or 8π
6. 18.84 or 6π
Step-by-step explanation:
just ask :)
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur
Answers
The absolute maximum of the function is 184 and the minimum value of the function is -72.
What is the absolute maximum value?If the graph of an absolute value function opens downward, the y-value of the vertex is the maximum value of the function.
Given the function f(x) = x⁴-18x²+9 at the interval [-5, 5], the absolute maximum and minimum values at this endpoints are as calculated;
At end point x = -5
f(-5) = (-5)⁴-18(-5)²+9
f(-5) = 625-450+9
f(-5) = 184
At end point x = 5
f(5) = (5)⁴-18(5)²+9
f(5) = 625-450+9
f(5) = 184
To get the critical point, this point occurs at the turning point i.e at
dy/dx = 0
if y = x⁴-18x²+9
dy/dx = 4x³-36x = 0
4x³-36x = 0
4x (x²-9) = 0
4x = 0
x = 0
x²-9 = 0
x² = 9
x = ±3
Using the critical points [0, ±3]
when x = 0, f(0) = 0⁴-18(0)+9
f(0) = 9
Similarly when x = 3, f(±3)= (±3)⁴-18(±3)²+9
f(±3) = 81-162+9
f(±3) = -72
It can be seen that the absolute minimum occurs at x= ±5 and the absolute minimum occurs at x =±3
absolute maximum = 184
absolute minimum = -72
Hence, the absolute maximum of the function is 184 and the minimum value of the function is -72.
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Two bags of grass seed cover 1,500 square feet of
ground. If Mitch's front yard is 1,850 square feet and his
back yard is 5,635 square feet, how many bags of
grass seed would he need to buy to completely cover
his front and back yard?
Answers
Answer:
10 bags
Step-by-step explanation:
Can someone please help me with this?
During elementary school, Malik received a weekly allowance of $16 for completing all of his chores. These days he receives 25% more. What is Malik's weekly allowance now?
