Find the surface area of each figure round your answers to the nearest hundredth if necessary
Answers
Answer: 410 square km
Step-by-step explanation:
The area of each of the triangles with their base on the 10 km side is \(A=\frac{1}{2}(10)(13.4)\), so their combined area is \((10)(13.4)=134\).
The area of each of the triangles with their base on the 12 km side is \(\frac{1}{2}(12)(13)\), so their combined area is \((12)(13)=156\).
The area of the bottom rectangular face is \(10(12)=120\).
So, the total surface area is \(120+156+134=\boxed{410 \text{ km}^{2}}\)
Related Questions
The sum of the squares of three positive numbers in an ap is 155. The sum of the numbers is 21. Find the number
Answers
The sum of the squares of the numbers is 155, so:
a^2 + b^2 + c^2 = 155
The sum of the numbers is 21, so:
a + b + c = 21
We can use the second equation to solve for one of the numbers in terms of the others. Let's solve for "a":
a = 21 - b - c
Now we can substitute this expression for "a" into the first equation:
(21 - b - c)^2 + b^2 + c^2 = 155
Expanding the square:
441 - 42b + b^2 - 42c + 2bc + c^2 = 155
Rearranging the equation:
b^2 - 42b + c^2 - 42c = 286
This is a quadratic equation in two variables, b and c. To find the values of b and c, we can either use the quadratic formula or try to factor the left-hand side. Since the equation is symmetric in b and c, we can try to factor it into a difference of squares:
(b - 21)^2 - (c - 21)^2 = 286
Expanding the squares:
b^2 - 42b + 441 - c^2 + 42c - 441 = 286
Rearranging the equation:
b^2 - 42b + c^2 - 42c + 441 - 441 = 286 + 441 - 441
Simplifying the right-hand side:
b^2 - 42b + c^2 - 42c + 441 = 727
Factorizing the left-hand side:
(b - 21)^2 - (c - 21)^2 = 727
Taking the square root of both sides:
|b - 21| - |c - 21| = 27
Since both b and c are positive numbers, we know that the value of the difference on the right-hand side is positive. Therefore, we can subtract 21 from both sides to get:
b - c = 48
So, b = c + 48.
We can now use the equation a = 21 - b - c to find a:
a = 21 - (c + 48) - c
Simplifying:
a = 21 - 2c - 48
a = -2c + -27
So, the numbers are -2c - 27, c + 48, and c
If 4 jalapenos cost $0.45, how much is 1 jalapeno?
Answers
Answer:
$0.11 approx
Step-by-step explanation:
If 4 jalapenos cost $0.45, how much is 1 jalapeno?
Given data
We are told that 4 jalapenos cost $0.45
If 4 jalapenos cost $0.45
the 1 jalapenos cost x
cross multiply
x= 0.45/4
x= 0.1125
Hence the cost of 1 jalapenos is $0.11 approx
Is 4 x 103 or 2 x 108 larger in value?
Answers
Answer:
4 x 103 is larger and value
Step-by-step explanation:
4 x 103 = 412
2 x 108 = 216
If on a triangle, angle A is 5x, B is 4X, and C is
3x, what is the measurement for each angle.
Answers
Answer:
A=75, B=60, C=45
Step-by-step explanation:
5x+4x+3x=180
12x=180
x=15
plug them in and get
A=5(15)=75
B=4(15)=60
C=3(15)=45
The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x
Answers
Answer:
x=8 and y=2
Step-by-step explanation:
x+y=10
x=4y
x+y=10
4y+y=10
5y=10(divide both sides by 5)
y=2
x=4y=4*2=8
Answer:
2 and 8.
Step-by-step explanation:
y = -x + 10
y = 4x
If we subtract we eliminate y:
0 = -x + 10 - 4x
0 = -5x + 10
5x = 10
x = 2.
and y = 4 * 2 = 8.
Solve for x
Please explain step by step
Answers
Answer:
x=16Step-by-step explanation:
Since RQTS is a parallelogram
\(\angle Q +\angle T=180^{o}\)
\(3x+5+9x-17=180^o\)
\(12x-12=180^o\)
\(12x-12+12=180+12\)
\(12x=192\)
\(\cfrac{12x}{12}=\cfrac{192}{12}\)
\(x=16\)
Hope it helps!
Unit 8: Right Triangles & Trigonometry Homework 3: Similar Right Triangles and Geometric Mean
Answers
The jpg shows the formulas I used to solve the problems. I hope this helps!
the variance inflationary factor (vif) measures the group of answer choices contribution of each x variable with the y variable after all other x variables are included in the model. correlation of the x variables with the y variable. correlation of the x variables with each other. standard deviation of the slope. next
Answers
The correct statement that describes variance inflationary factor (VIF) is option (a) the correlation of the x variable with each other
The variance inflationary factor ( VIF ) defined as the measure of the amount of multicollinearity in regression analysis.
When there is a correlation between multiple independent variable in multiple regression model, then there will be multicollinearity, therefore it will adversely affect the regression result
Correlation is defined as the extend to which the two variables are linearly connected. Therefore it will change at a constant rate together
Hence, the variance inflationary factor( VIF ) measures option (a) the correlation of the x variable with each other
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3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing step by step
Answers
Parallel lines have equal slope so
M1-M2=0Lets check
M1=3/4M2=12/16=3/4Now
M1-M23/4-3/40Lines are parallel
Answer:
The two lines are parallel
Step-by-step explanation:
If two lines are parallel, they have the same slope.
If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).
Given slopes:
\(\sf m_1=\dfrac{3}{4}\)
\(\sf m_2=\dfrac{12}{16}\)
Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:
\(\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}\)
Therefore,
\(\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad\)
As the given slopes are the same, the two lines are parallel.
Round 496.739386253 to the nearest whole number.
Answers
Answer:
467
Step-by-step explanation:
7 is greater than 5 so the six is rounded to a 7
Hope this helped please mark me brainiest
Answer:
497
Step-by-step explanation:
If x ≥ 5, we round up.
If x < 5, we round down.
Since 7 ≥ 5, we round 496.739386253 to 497.
write the formula for the conjugate base for each of the following weak acids. (a) hc2h3o2
Answers
The conjugate base of the weak acid hc2h3o2 (acetic acid) can be determined by removing a proton (H+) from the acid molecule. The formula for the conjugate base is C2H3O2- (acetate ion).
The formula for acetic acid (hc2h3o2) suggests that it consists of the elements hydrogen (H), carbon (C), and oxygen (O). To determine the formula of its conjugate base, we remove a proton (H+) from the acid molecule. Removing a proton results in the formation of an anion, which has a negative charge to maintain overall charge neutrality.
The removal of a proton from hc2h3o2 leads to the formation of the acetate ion, which has a formula of C2H3O2-. The C2H3O2- ion is referred to as the conjugate base of acetic acid.
In summary, the formula for the conjugate base of the weak acid hc2h3o2 (acetic acid) is C2H3O2- (acetate ion).
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a boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return. how fast is the river flowing?
Answers
A boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return, so the river is flowing at the speed of 0.95km/hrs.
Let x represent the boat's speed on still water.
Let y equal the current's speed.
The time is 3.40 hours, and the rate is x + y with the current.
The time is 4.60 hours, and the rate against the current is x - y.
rate x time = downstream
distance (x + y) * 3.40 = 25
Thus, upstream, 3.4x + 3.4y = 25. (x - y) * 4.60 = 25 so 4.6x - 4.6y = 25
Add 4.6 to both sides of the "downstream" equation and 3.4 to both sides of the "upstream" equation:
15.64x + 15.64y = 115
15.64x - 15.64y = 85
When the two equations are combined: 31.28x = 200, so x = 6.4
In other words, 15.64(6.4) + 15.64(y) = 115 and 100 + 15.64y = 115 are equivalent to 15.64x + 15.64y = 115.
120 is subtracted from both sides: 15.64y = 15, so y = 0.95
The speed of the boat in still water is 6.4 km per hour
The speed of the current is 0.95 km per hour.
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Malia is playing a target game with her friends. Each player throws a bean bag times toward a target on the ground. The distance between the bean bag and the target is recorded for each throw. The player with the lowest mean distance of all throws wins the game. The list shows the recorded distance, in , of Malia's first throws. , , , , , , Malia is the last player in the game. Her mean distance must be less than to win the game. What is the minimum distance, in , between the bean bag and the target that Malia needs on her last throw to win the game? Enter the answer in the box.
Answers
The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
How to determine distanceIn this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.
First, we need to calculate the mean distance of Malia's first 7 throws.
Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14
Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.
The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8
To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:
(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14
Multiplying both sides by 8 gives us:
2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12
Simplifying gives us:
x < 25.12 - 23
x < 2.12
Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
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-9x+1=-80 what does the x equal
Answers
Answer:
Simplifying
x = 9
Step-by-step explanation:
Simplifying
9x + -1 = 80
Reorder the terms:
-1 + 9x = 80
Solving
-1 + 9x = 80
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x = 80 + 1
Combine like terms: -1 + 1 = 0
0 + 9x = 80 + 1
9x = 80 + 1
Combine like terms: 80 + 1 = 81
9x = 81
Divide each side by '9'.
x = 9
In the figure at the right, what is m∠2 if m∠4 = 120°
pls hurry im on a timer
Answers
Answer:
120
Step-by-step explanation:
they are on opposite sides and the angles are equal
Answer:
Step-by-step explanation:
They are opposite each other so they are equal.
m4=m2=120 degrees
Miles has a piece of paper that is 1/4 of a large circle.He cuts the paper into five equal parts from the center point of the circle. What is the angel measure of each part?
Answers
Answer:
18°
Step-by-step explanation:
First, we find the angle of the large piece of paper that is 1/4 of a circle.
The angle in a circle is 360°. The angle in 1/4 of a circle is:
1/4 * 360 = 90°
He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:
1/5 * 90 = 18°
Each part has an angle of 18°,
Answer: it's 18
Step-by-step explanation: 18 is the answer hope this helps
in the line y - 3 = -2 (x+5), which of the following are true?
a) the point (-5,3) is on the line
b) the pont (5,-3) is on the line
c) the slope is 3
d) the slope is -2
e) the y-intercept is -7
Answers
Answer:
Options a, d and e
Step-by-step explanation:
We check the validity of each of the options.
Kindly note that we can express the equation fully and we have;
y-3 = -2x-10
y = -2x -10 + 3
y = -2x -7
So let’s now evaluate the options.
(a) Insert the value of x at this point, if it gives the value of y, then it’s on the line
the value of x to insert is -5 here.
Thus ; y = -2(-5)-7 = 10-7 = 3
since y is 3, then it is on the line
(b) same as a
insert x = 5
y = -2x-7
y = -2(5) -7
y = -10-7 = -17
This is definitely not on the line as the value of y gotten does not correlate with what was given
c. To get this , compare with the standard form of
y = mx + c
where m is slope
Here our m is -2 , so this is definitely wrong
d) From above , we can see that this is correct
e) compare this with y = mx + c
c is our intercept and this is equal to -7 which makes this option also correct
The first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. The last week of January, there are 20 cats in the same shelter. How many dogs are there?
Answers
Answer:
35 dogs
Step-by-step explanation:
DOG:CAT = DOG:CAT
49:28 = x:20
7:4 = x:20
x = 35
What is the exact distance from (8, 5) to (−1, 3)? (Round to the nearest tenth)
Answers
Answer:
About 9.2 units
Step-by-step explanation:
[8-(-1)^2]+[(5-3)^2]
81+4
sqrt(85)
9.2
Brainliest appreciated :)
Which table represents a linear function
Answers
Answer: It is the Top right one
Step-by-step explanation: Because number sequence is consistent
It starts with a 7 and you add 2 that is a 9 add two more that is 11 and add 2 it is 13. With the others you cant add the same number for all of them and get a linear function. Hope this helped :3
como se simplifican los términos algebraicos
Answers
Answer:
what the????????..........
1. Evaluate algebraic expression for the given value of "y". 6y -5 for y =7
Answers
-5
———
37
9(18) using disributive property.
Answers
Answer:
162
Step-by-step explanation:
9 * 18 = 162
Answer:
162
Step-by-step explanation:
Find the measure of the missing angle *
Answers
Answer:
68 degree
Step-by-step explanation:
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Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
Answers
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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heeeeeeeeeeeelp me pleeeease
Answers
Answer:
correct answer is C hope it helps you have a good day
please mark me as brain list
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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which expression is equivalent to 5^4 x (5^-3)
A. 5^1
B. 5^2
C. (1/5)^1
D. (1/5)^2
Answers
Answer:A is correct
Step-by-step explanation:
5^4 x (5^-3) equals 5 and 5^1 is 5
14 points help me please
Answers
Answer:
B. 0.8 meters
Step-by-step explanation:
Divide 2.4 by 3 and you will get 0.8
Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour
Answers
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26