А prism has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another. Therefore, option B is the correct answer.
What is a Congruent shape?The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.
The cross section of prism is the shape obtained when the prism is intersected by a plane. If the prism is cut by a plane horizontally, parallel to the base, then the shape of cross section will be equal to the shape of base.
Therefore, option B is the correct answer.
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When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.
ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister
Answer:
120, 60
Step-by-step explanation:
half a century = 60 + 10 x 2 = ted.
she is 60.
You have $5. You pay someone $3. You receive a gift of $4.
GIVING 50 POINTS IF YOU ANSWER!!!!
Answer:
MAD would be more similar than mean
Step-by-step explanation:
Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!
Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
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Answer:
A. 1 hour and 16 minutes
Step-by-step explanation:
There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL. Calculate the infusion time.
select "No IV pump"
volume = 250 mL
rate = 33 gtt/min
calibration = 10 gtt/mL
Actual formula:
250 /( 33 gtt/min
10x 60)= 1.26 Hours
0.26 x 60 = 16 minutes
So 1.26 Hours = 1 Hour & 16 minutes
hope this will help you
what is the difference between
7z
and z to the power of 7
Answer:
7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.
Step-by-step explanation:
7z is 7 times of z.
7z= z +z +z +z +z +z +z
z⁷ (z to the power of 7) is multiplying z by itself 7 times.
z⁷= z ×z ×z ×z ×z ×z ×z
Write as algebraic sum
(a+b)(2b-a)=
Apply the distributive property.
=a(a−2b)+b(a−2b)
=a2−2ab+ba−2b2
=a2−ab−2b2.
Factorise the following completely: (4 marks)
a)a) 81
Answer:
Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers
The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4
Answer:
C: 3
Step-by-step explanation:
The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.
Pleeeeeeeaaase answer quick. With explanation. Will give 40 points
Answer:
See attached
Step-by-step explanation:
Review the picture
THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height of the right endpoint of the kth rectangle?
f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts the height of the right endpoint of the kth rectangle is mathematically given as
H endpoint = -2+k x5/n. Option A is correct
what is the height of the right endpoint of the kth rectangle?
Generally, the equation for the function is mathematically given as
f(x) = x^2+4
interval is divided = 5/n
endpoint =k x 5/n
therefore,
H endpoint = -2+k x5/n
In conclusion, the height of the right endpoint of the kth rectangle is
H endpoint = -2+k x5/n
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I will mark branliest if correct
Answer:
The answer is: y = - |x+1|+1
I'm really stuck and need help asap.
a = 8
b = 1/4
c = 1
hope this helped :)
Answer:
ax= 8x, by=1/4y and c=1 try that
How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?
(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters
Answer:
A
Step-by-step explanation:
because when you multiply 3x3 (the base) times 18(the height) you get= 162
HELP ME PLEASEEEEEEEEE
Answer:
1.7 pounds
Step-by-step explanation:
7.9 - 6.2= 1.7
This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?
Answer:
[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]
Answer:
105
Step-by-step explanation:
its right trust me
but make sure this is the question that you are doing
What is the area of the kite 10 12 12 18
If ADB= 15° then What is ACB
Answer:
30 degrees
Step-by-step explanation:
<ACB is a central angle while <ADB is an inscribed angle.
Central angles are twice the size of inscribed angles.
Therefore, <ADB*2 = <ACB . 15*2=30
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
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The Answer Is 35 Inches Squared
The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.
Which statement is supported by the information in the dot plots?
A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2
Answer:
A
Step-by-step explanation:
since mean is the most annoying to calculate I went through and did everything else, the range is the same as both charts go 0-6. The median is is the middle number which means store 1 has a higher number of 3' s but our option says store 2 is greater and B is the mode, the number that shows up the most.
3) A Diplodocus was a 90 ft. long plant-eating dinosaur. The Triceratops was 28 ft. long plant- eating dinsoaur. How many INCHES longer was the Diplodocus than the Triceratops?
Answer:
The Diplodocus was 744 in longer than the Triceratops.
Step-by-step explanation:
90 ft = 90 * 12 = 1080 in
28 ft = 28 * 12 = 336
1080 in - 336 in = 744 in
Show or explain your answer
Answer:
This is an exponential function:
A(s) = 2^s, where A- population of alien's, s - number of splits (or hours)For the alien population become larger than 79942, time required:
2^s > 79942log 2^s > log 79942s > log 79942/ log 2s > 1617 hours
For the alien population become larger than 330232606, time required:
2^s > 330232606log 2^s > log 330232606s > log 330232606 / log 2s > 2829 hours
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
please help me to find this out i really really need help.
The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.
Give your answer correct to 3 significant figures.
Answer:
38.7°
Step-by-step explanation:
Let the angle we're looking for be called x.
Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.
tan(angle)=opposite/adjacent
tan(x)=FD/FA
x=tan⁻¹(12/15)=38.6598082541°≈38.7°
Therefore, the length of the angle be [tex]x=38.65[/tex] degree.
What is the trigonometry?
Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here given that,
Let the length of the angle be [tex]x[/tex].
Consider Δ[tex]ADF[/tex]
which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].
So,
tan(x)=Perpendicular / Base
i.e.,
[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]
Hence, the length of the angle be [tex]x=38.65[/tex] degree.
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There is a group of 8 people ordering pizza. If each person
gets 3 slices and each pizza has 5 slices, how many pizzas
should they order?
Answer:
5 pizzas
Step-by-step explanation:
8people times 3slices = 24 slices needed
24slices/ 5 pizzas per box= 4.8 you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.
4.3x10^3 in standard notation
Answer:
4300
Step-by-step explanation:
i think this is what you want
the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
9514 1404 393Answer:
20, 36
Step-by-step explanation:
Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:
x + y = 56 . . . . . . the sum of the two numbers is 56
2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22
We can solve this by multiplying the second equation by 2 and adding the first.
2(2x -y/2) +(x +y) = 2(22) +56
5x = 100 . . . . . . simplify
x = 20
y = 56 -20 = 36
The two numbers are 20 and 36.
Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?
Answer:
See Annex
Step-by-step explanation:
The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.
In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :
z(max) = 11
x₁ = x = 2
x₂ = y = 1