Answers
Area of a rectangle: Area = Length x Height
- Rectangular Prism Dimensions:
Length: 3m
Width: 4m
Height: 2m
To calculate the surface area of a rectangular prism we first need to realize that he has 3 pairs of equal rectangles.
- The first pair (Photo 1):
Two rectangles with the same measure, so we can say that the area of this pair is: (L x H) x (L x H) or 2 x (L x H).
-> Area (Pair 1) = 2 x (3 x 2) = 2 x 6 = 12m^2
But if we will do the same thing to 3 different pairs, we can describe that:
- Total Surface Area (At):
At = 2 x (L x H) + 2 x (L x H) + 2 x (L x H)
-> At = 2 x ((L x H) + (L x H) + (L x H))
So now, just put the values inside de formula,
- Pair 1: Length = 3m ; Height = 2m
- Pair 2: Length = 4m ; Height = 2m
- Pair 3: Length = 4m ; Height = 3m
*I know that this pair doesn't have a "real Height" but this doesn't change anything when solving, you can consider the 4m as height and the 3m as length or vice versa, the order of the factors doesn't change the product.
-> At = 2 x ((3 x 2) + (4 x 2) + (4 x 3))
-> At = 2 x (6 + 8 + 12)
-> At = 2 x (26)
-> At = 52 m^2
Related Questions
Trip bought an ice cream cone that is 4 inches tall with a radius of 2 inches the cone has a mass of about 3 ounces when empty after it is filled with ice cream and topped with a Hemisphere of ice cream with a radius of 2 inches it has a mass of 35 ounces what is the density of the ice cream use 3.14 for pie round your answer to the nearest thousand your answer will be in ounces per cubic inches
Answers
[volume of the cone]=(1/3)*pi*r²*h
for r=2 in
h=4 in
[volume of the cone]=(1/3)*pi*2²*4-----> 16.747 in³
volume of the hemisphere=(4/6)*pi*r³
for r=2 in
volume of the hemisphere=(4/6)*pi*2³----> 16.747 in³
[the density of the ice cream]=mass ice cream/volume ice cream
mass ice cream=35 oz-3 oz-----> 32 oz
volume ice cream=volume of a cone +volume of hemisphere
volume ice cream=16.747+16.747----> 33.494 in³
density ice cream=32/33.494-----> 0.955 ounces/in³
the answer is
0.955 ounces/in³
1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.
What is m< A?
A) 44 degrees
B) 22 degrees
C) 75 degrees
D) 85 degrees
2. In the figure, m AB = 45 degrees and m CD = 23 degrees. The diagram is not drawn to scale.
What is the value of x?
A) 34 degrees
B) 56.5 degrees
C) 22 degrees
D)68 degrees
Can someone please check my work and tell me if I'm correct or not and explain.
Answers
The measure of the missing angles in both instances is; m∠A = 22 degrees and x = 34 degrees
How to find the angles in the triangle?
1) For question 1, the formula for the missing angle from triangle is;
m∠A = ¹/₂(∠DE - ∠BC).
Thus;
m∠A = ¹/₂(106 - 62).
m∠A = 44/2
m∠A = 22 degrees
2) To get the missing angle, we will use the formula;
x = ¹/₂(AB + CD)
This is because the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
x = ¹/₂(45 + 23)
x = 34 degrees
Read more about angles in a triangle at; https://brainly.com/question/12621139
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Frank owns 300 acres of land. If he divides the land into 1/2 acre plots, how many plots will he have?
Answers
hope that helps
find its area. w(-2,0). x(-3,3). y(2,0),z(1,3)
Answers
Is Part A correct? And can someone please help me with part B? (Highlighted)
Answers
Part B. The total area is the sum of the areas of each of the 6 faces of the box. Opposite faces are the same area, so you have
A = 2(LW +WD +LD) = 2(LW +D(L +W))
Subsituting the given dimensions, you get
A = 2((12 ft)(6 ft) +(3 ft)(12 ft +6 ft))
A = 2(72 ft² +(3 ft)(18 ft))
A = 2(72 ft² +54 ft²) = 252 ft²
The least amount of paper required to cover the box is 252 ft².
Which one of the following statements is true?
A. If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b).
B. If f '(x) > 0 on the interval (a, b), then f is decreasing on the interval
(a, b).
C. If f and g are increasing on the interval (a, b), then f + g is increasing on (a, b).
D. None of the above.
Answers
The greatest common factor of 24and 36 is the least common multiple of a pair of numbers.which two number could they be ? Pls make sure to explain this specifically!!
A.3 and 6
B.4 and 6
C.8 and 9
D.8 and 12
Answers
Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 12 mph. The raft going against the current is traveling at a speed of 70 miles per hour. Both rafts travel the river for two hours. Which equation represents the situation? Assume the raft traveling with the current travels X miles in the raft traveling against the current travels y miles.
A. 12/x - 7/y = 1/2
B. 12x + 7y = 2
C. x/12 - y/7 = 2
D. x/12 + y/7 = 4
E. 12x + 7y = 4
Answers
Time taken by the raft going with the current to travel x miles is:
12/x hours
Time taken by the raft going against the wind is:
7/y
Total time taken for both raft is 4 hours thus:
12/x+7/y=4
hence the answer is:
D. x/12 + y/7 = 4
The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is drawn by joining ordered pairs 4,16 and negative 9,10 Determine the solution and the reasoning that justifies the solution to the systems of equations
Answers
Answer:
[tex]\text{Solution: }\left(-\dfrac{2654}{435},\dfrac{1644}{145}\right)[/tex]
Step-by-step explanation:
Line P is drawn by joining ordered pairs (-8,15) and (6,-12)
Using two point formula of line. Find equation of line P
[tex]\dfrac{y-15}{x-(-8)}=\dfrac{-12-15}{6-(-8)}[/tex]
[tex]\dfrac{y-15}{x+8}=\dfrac{-27}{6+8)}[/tex]
[tex]\dfrac{y-15}{x+8}=\dfrac{-27}{14}[/tex]
[tex]y=\dfrac{-27}{14}(x+8)+15[/tex]
[tex]y=\dfrac{-27}{14}x+\dfrac{-27}{14}\times 8 + 15[/tex]
[tex]y=\dfrac{-27}{14}x-\dfrac{3}{7}[/tex]
[tex]\text{Equation of line P:}y=\dfrac{-27}{14}x-\dfrac{3}{7}[/tex]
Line Q is drawn by joining ordered pairs (4,16) and (-9,10)
Using two point formula of line. Find equation of line Q
[tex]\dfrac{y-16}{x-4}=\dfrac{10-16}{-9-4}[/tex]
[tex]\dfrac{y-16}{x-4}=\dfrac{-6}{-13}[/tex]
[tex]\dfrac{y-16}{x-4}=\dfrac{6}{13}[/tex]
[tex]y=\dfrac{6}{13}(x-4)+16[/tex]
[tex]y=\dfrac{6}{13}x-\dfrac{6}{13}\times 4 + 16[/tex]
[tex]y=\dfrac{6}{13}x+\dfrac{184}{13}[/tex]
[tex]\text{Equation of line Q:}y=\dfrac{6}{13}x+\dfrac{184}{13}[/tex]
Using graphing find solution of system of equation.
We draw the line on graph and see the intersection point.
Please see the attachment of the line.
Answer:
(−2, 4), because it is the point of intersection of the two graphs
Step-by-step explanation:
BECAUSE
The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?
A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)
Answers
x (t) = 3t
y (t) = 4t ^ 2 + 1
Substituting t = 10 in both equations we have:
x (10) = 3 (10) = 30
y (10) = 4 (10) ^ 2 + 1 = 400 + 1 = 401
Therefore, the position of the rocket is:
(x, y) = (30, 401)
Answer:
the ship after 10 seconds is at:
C.) (30,401)
Assume that the starting point of a path in such a grid is labeled the origin ≡ (0,0). the destination is the point (m,n). in other words, there are (n+1) streets in the x direction and and (m+1) streets in the y direction; and any portion of of any of these streets can be used to reach the destination. find the total number of distinct paths; assuming that all streets are available.
Answers
if there is a direct street from (0,0) to (m,n) : (m+1)*(n+1)+1
Suppose 20 rabbits are taken to an island. the rabbit population then triples every year. the function f(x)
Answers
hope this helps!
p.s. can i have brainliest?
This question is about exponential growth and the rabbit population on an island.
Explanation:The subject of this question is Mathematics. Specifically, it involves exponential growth and a function that represents the rabbit population on the island over time. Let's define the function f(x) to represent the population of rabbits at year x.
Based on the information given, the initial population is 20 rabbits. The population triples every year, which means that for each year x, the population is f(x) = 20 * 3^x.
For example, after 1 year, the population would be f(1) = 20 * 3^1 = 60 rabbits. After 2 years, the population would be f(2) = 20 * 3^2 = 180 rabbits, and so on.
Learn more about Exponential growthhttps://brainly.com/question/34350466
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Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answers
Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function? a.–2 b.–1 c.1 d.2
Answers
1. You have the following function given in the problem:
f(x)=x3–3x–2
2. When you give values to the x and plot each point obtained, you obtain the graph shown in the figure attached.
3. Based on the graph and analizing the alternate form:
f(x)=(x-2)(x+1)²
As you can see, there is two roots x=-1, then, you can conclude that the correct answer is the option b, which is:
b) -1
Answer:
B) -1
Step-by-step explanation:
what is the measure of AB
Answers
make sure your calculator is in Degree mode.
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? _____ millimeters
Answers
Given:
set of 20 data
variance of 36
Find the standard deviation from the mean.
The formula for the standard deviation is the square root of the variance.
Standard deviation = √36
Standard deviation = 6
A ________ sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample.
Answers
is selective
A random sample is a subset of a population where every individual has an equal and known chance of being selected, providing a representative segment for study.
A random sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample. This means that in a random sample, every individual in the larger population has an equal opportunity to be included. There are various methods to achieve a random sample, such as simple random sampling, stratified sampling, or using random digit dialing. Random samples are crucial because they tend to be representative of the population, thereby allowing the results of studies to be generalizable.
Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes $34.65 per hour. if luis works 46 hours in one week, how much does he earn?
a. $1,062.60
b. $1,097.25
c. $1,131.90
d. $1,593.90 please select the best answer from the choices provided a b c d
Answers
The correct option is (C)
Kevin and randy muise have a jar containing 68 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $13.40. how many of each type of coin do they have?
Answers
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18
Kevin and Randy have 50 quarters and 18 nickels.
Explanation:To solve this problem, we can set up a system of equations. Let's use the variables x for the number of quarters and y for the number of nickels. We can then write two equations based on the given information:
Equation 1: x + y = 68 (the total number of coins is 68)
Equation 2: 0.25x + 0.05y = 13.40 (the total value of the coins is $13.40).
We can start by solving Equation 1 for x in terms of y:
x = 68 - y. Now we can substitute this expression for x into Equation 2:
0.25(68 - y) + 0.05y = 13.40
Simplifying, we get 17 - 0.25y + 0.05y = 13.40.
Combining like terms, we have 0.20y = 3.60.
Dividing both sides by 0.20, we find y = 18. Plugging this value back into Equation 1, we can solve for x:
x + 18 = 68
x = 68 - 18 = 50.
Therefore, Kevin and Randy have 50 quarters and 18 nickels.
Please help me with this
Answers
%( Art 2 students who entered digital pieces)=(24/300)*100%=8%
Number of all entries that were painted by Art 1 students = 34
%( painted by Art 1 students)=(34/300)*100%≈11.3%
%( clay pieces by Art 3 students)= (20/300)*100%=6.7%
From least to greatest,
6.7% - clay pieces by Art 3 students
8%- Art 2 students who entered digital piece
11.3%-painted by Art 1 students
A test consists of 10
a. True
b. False questions. to pass the test a student must answer at least 9 questions correctly. if a student guesses on each question, what is the probability that the student will pass the test?
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Graph BCD with vertices.
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when you've drawn that, draw on the line x=1
to draw that go to the x axis and go along one, then flip the triangle as though it were in a mirror (use a real mirror if it helps you visualize)
Claire says the area of a square with a side length of 100 centimeters is greater than the area of a square with a side length of 1 meter. Is she correct? Explain
Answers
100 cm=1 m
this implies that both squares are the same hence their areas will be the same. Thus we conclude that Claire was wrong, neither of the area of the squares is greater than the other one.
a man made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 15%. Predict the fish population 5 years after the lake is stocked
Answers
10,000*15% = 1,500 or you could do 10,000*.15 = 1,500
That is a loss of 1,500 fish per year.
If you want to think of this as a proportion then you would do
Year/fish lost
1/1,500 = 5/x
X=5*1,500
X=7,500
The population of the fish after 5 years equals
10,000-7,500 = 2,500
So your answer is 2,500 fish are left
The population will be approximately 4,437 fish after 5 years.
To predict the fish population 5 years after the lake is stocked,
We can use the formula for exponential decay:
[tex]\[ P = P_0 \times (1 - r)^t \][/tex]
Where:
P is the final population[tex]\( P_0 \)[/tex] is the initial populationr is the annual rate of decline (expressed as a decimal)t is the number of yearsGiven:
[tex]\( P_0[/tex] = 10,000 (initial population)r = 0.15 (annual rate of decline, expressed as 15% or 0.15)t = 5 (number of years)Substituting the values into the formula:
[tex]\[ P = 10,000 \times (1 - 0.15)^5 \][/tex]
[tex]\[ P = 10,000 \times (0.85)^5 \][/tex]
Calculating:
P ≈ 10,000 × 0.443705
P ≈ 4437.05
So, the fish population 5 years after the lake is stocked is approximately 4437 fish.
A tree's root is 9 feet below ground and spans a radius of 6 feet. If the total length of the tree from root tip to top is 23 feet, what is the tree's elevation above ground?
a. 14 feet
b. 17 feet
c. 26 feet
d. 32 feet
Answers
You know the tree goes 9 feet underground and the tree is 23 feet tall from root to top
You can subtract how far the tree goes underground by the length of the tree to get the answer
23 - 9 = 14
The answer is A) 14 feet
Hope this helps!
The measure of arc QS is (4x – 18)°.
What is the value of x?
40.5
49.5
94.5
180
ANSWER IS 49.5
Answers
Answer:
Option B. 49.5 degrees
Step-by-step explanation:
Given that arc QS measures 4x-18
Arc QS is a semicircle and hence subtended angle by semicircle at the centre is 180 degrees.
Use this to find the value of x
4x-18 = 180 degrees
Add 18 to both sides
4x=198
Divide by 4
x =198/4 =49.5
So answer is option B
49.5 degrees
Answer:
49.5
Step-by-step explanation:
How to find an area of a circumbscribed hexagon using the diameter?
Answers
You can calculate the value of a by using trigonometry You consider one of the 6 isosceles triangles that make up the hexagon. The vertex angle of these triangles = 60 degrees so:-
tan 30 = 1/2 a / r = 1/2 a / 1/2 d = a/d
a = d tan 30 = sqrt3 d / 3
Substituting for a :-
So the required formula for the area of the hexagon = 1.5 ad
= 1.5 * sqrt3 d * d / 3 = 1/2 sqrt3 d^2 Answer
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
Answers
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
To calculate the total amount and interest earned on $6,500 at 6% simple interest for 25 years, you use the formula I = P × r × t, which gives you interest (I) of $9,750. Adding the interest to the principal, the total amount after 25 years is $16,250.
To calculate the total amount and the interest earned on $6,500 at a simple interest rate of 6% for 25 years, we can use the simple interest formula:
I = P × r × t
Where:
I is the interestP is the principal amount ($6,500)r is the annual interest rate (6%, or 0.06)t is the time in years (25)Using this formula:
I = $6,500 × 0.06 × 25
I = $9,750
The total amount after 25 years will be the principal plus the interest:
Total Amount = P + I
Total Amount = $6,500 + $9,750
Total Amount = $16,250
The interest earned on the investment after 25 years is $9,750.
You and a friend go to the movies and split the cost of the movie tickets and snacks. you pay the bill. you tell your friend he owes only $9 because you owe him $4 from the last time you went to the movies. how much was the total bill
Answers
Total bill = $13 x 2 = $26
Answer: $26
Write an equation of the graph:
y = |x| translated two units downward
Answers
y = |x| - 1 is the answer
ur mom