Answer:
They are not similar.
Step-by-step explanation:
The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.
81° + 40° + 60° does not equal 180.
Determine the total amount of money that was utilized on fuel in June 2022
Therefore, the total amount of money utilized on fuel in June 2022 is R11 095,60.
What is percent?Percent is a way of expressing a quantity as a fraction of 100. It is denoted by the symbol %, which means "per hundred". Percentages are often used to represent proportions or ratios in various fields, including finance, science, and statistics. For example, an interest rate of 5% means that for every hundred dollars borrowed or invested, five dollars of interest will be charged or earned.
Here,
(a) To calculate the total distance covered by the water tanker in March 2022, we need to find the distance travelled per day and multiply it by the number of days in March.
Distance travelled per day = 2 × 18 = 36 km (since it's a return trip)
Number of weekdays in March = 31 - 4 (Saturdays) = 27
Total distance covered = distance per day × number of weekdays
= 36 km/day × 27 days
= 972 km
(b) To determine the quantity of fuel utilized by the water tanker in March 2022, we need to divide the total distance covered by the average fuel consumption rate.
Fuel consumption rate = 5 km/ℓ
Total distance covered = 972 km
Fuel utilized = total distance covered / fuel consumption rate
= 972 km / 5 km/ℓ
= 194.4 ℓ
(c) To determine the total amount of money utilized on fuel for the water tanker in March 2022, we need to multiply the fuel quantity by the fuel price.
Fuel price in March 2022 = R16,28/ℓ
Fuel utilized = 194.4 ℓ
Total cost of fuel = fuel price × fuel quantity
= R16,28/ℓ × 194.4 ℓ
= R3 163,39
Therefore, the total amount of money utilized on fuel for the water tanker in March 2022 is R3 163,39.
(d) To determine the total amount of money utilized on fuel in June 2022, we need to repeat the above calculation using the June fuel price.
Fuel price in June 2022 = R24,14/ℓ
Fuel capacity = 460 ℓ
Total cost of fuel = fuel price × fuel capacity
= R24,14/ℓ × 460 ℓ
= R11 095,60
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Complete question:
Records of the number of water tankers that were supplied to the construction site appear in the calender on ANNEXURE A. The water source is at a distance of about 18 km (return trip) from the construction site. The water tanker has a fuel capacity of 460 litres.. The rate of fuel consumption of the Mercedes water tanker averages 5 km/ℓ. The prices of fuel per litre in March and June 2022 appear below. JUNE 2022 FUEL PRICES \begin{tabular}{|l|l|} \hline DIESEL & COST \\ \hline 50ppm & R24,14 \\ \hline \end{tabular} Source: 4.1 (a) Calculate the total distance that the water tanker has covered in March (2) 2022. (b) Hence, determine the quantity of fuel that was utilized by the water tanker in March 2022. (c) Determine the total amount of money that was utilized on fuel for the water tanker in March 2022. (2) 4.2 Determine the total amount of money that was utilized on fuel in June 2022.
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
subset the data set to include only x2, x3, and x4. how many missing values are there in these three variables?
The subset of the data set with x2, x3, and x4 would include 6 missing values.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
1. Subset the data set to include only x2, x3, and x4.
2. Count the number of missing values in each variable.
3. Add the number of missing values for each variable together.
4. The total number of missing values in these three variables is 6.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
Subset the data set to include only x2, x3, and x4.
The complete question is :
Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?
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Is the following statement Always True, Sometimes True, or Never True?
When performing a Rigid Transformation, the preimage is congruent to the image.
O Never True
O Sometime True
O Always True
Answer: some times true
Step-by-step explanation:
Answer:
sometimes true
Step-by-step explanation:
hope this helps!
Emir is standing in a treehouse and looking down at a swingset in the yard next door. the angle of depression from emir's eyeline to the swingset is 33.69°, and emir is 10 feet from the ground. how many feet is the base of the tree from the swingset? round your answer to the nearest foot.
The distance from the base of the tree from the swing sets is 15 ft
The situation forms a right angle triangle.
How to find the distance from the base of the tree to the swing set?The opposite side of the triangle formed is the distance of Emir from the ground.
Therefore, the distance from the base of the tree from the swing sets is the adjacent side of the triangle.
Hence,
tan 33.69 = opposite / adjacent
tan 33.69 = 10 / x
x = 10 / tan 33.69
x = 10 / 0.66666496431
x = 10 / 0.66666496431
x = 15.0000038265
x = 15 ft
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What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median
The name of the segment inside the large triangle is called the: 3. angle bisector.
What is an Angle Bisector?The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.
The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.
A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.
Therefore, we can state that the name of the segment is: 3. angle bisector.
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What numbers make up the perfect squares
Answer:
1,4,9,25,36,49,64,81,100,121,144
Question: What numbers make up the perfect squares
Answer:
A perfect square is a number that can be expressed as the product of two equal integers.
Step-by-step explanation:
9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)
Triangle ABC was rotated about the origin. Which rule describes the rotation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer: A on EDG 2020
Step-by-step explanation:
Answer:
A
Just took the test
Step-by-step explanation:
The velocity in a fluid flow field is given by u=2x+y^2u=2x+y2 and v=3x^2yv=3x2y where uu is the x-component of velocity, and vv is the y-component of velocity. What is the x-component of fluid acceleration in terms of x and y?
The x-component of fluid acceleration in terms of x and y is 2.
To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.
However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.
Given: u = 2x + y^2
To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:
ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2
The x-component of fluid acceleration, ax, is simply 2.
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so i have these three questions left.
It's asking you to possibly find the TERM for the DEFINITION
QUESTIONS:
___ 16. the factor in an expression being taken times
itself
___ 17. the number of times a factor is taken times
itself
___ 24. the numbers in a sequence
these are ALL the DEFINITIONS, i have left over
F. term
H. median
K. meter
L. liter
O. sum
P. difference
Q. evaluate
R. exponent
S. factor
I'll mark you brainy
Answer:
16. this would be "base" but that isn't an option...
17. R, exponent
24. F, term
Solve 9 ÷ 2/8. Type your answer fast please
Answer:
36
Step-by-step explanation:
the answer is 36.......
The distance from Earth to the Sun is approximately 9 x 10exponetn7 miles. The distance from Earth to the moon is approximately 2 x 10exponent 5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun? 0 18 45 222 450
450 miles
Explanation
Step 1
Let
\(\begin{gathered} \text{distance(earth-sun)}=9\cdot10^7miles \\ \text{distance(earth-moon)}=2\cdot10^5miles \end{gathered}\)Step 2
how many times the distnce (E-M) is the distance(E-S)
\(\frac{ES}{EM}=\frac{9\cdot10^7}{2\cdot10^5}=\frac{9}{2}\cdot10^{7-5}=4.5\cdot10^2miles\)so, the distance is
\(4.5\cdot10^2miles=4.5\cdot100=450\)I hope this helps you
Select the correct answers for each blank
1
2
3
4
5
the definition of
congruence does not
mean measures are equal
the subtraction property
of equality applies to
numbers, not angles
the sum of angles equals
an angle must be shown
first by using the angle
addition postulate
We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.
What is an angle?An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.
The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.
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Which value from the set { 3, 8, 9, 14 } makes the equation true?
2n - 5 = 11
Answer:
Step-by-step explanation:
2(3) -5 = 1 false
2(8) -5 = 11 true
2(9) -5 = 14 false
2(14) -5 = 23 false
The function f(x) is shown on the graph.
On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).
If f(x) = 0, what is x?
Answer:
\(x=-2,1,3\)
Step-by-step explanation:
Given: The curved line represented by the function \(f(x)\) crosses the x-axis at \((-2,0),(1,0),(3,0)\) and y-axis at \((0,-6)\)
To find: value of x for which \(f(x)=0\)
Solution:
\(f(x)=0\) gives those values of x for which the curve represented by the given function cuts the x-axis.
According to question, the curve cuts the x-axis at \(x=-2,1,3\)
The values of x, when f(x) = 0 are the y-intercepts of the graph, and the values are -2, 1 and 3
The points on the function on the graph are given as:
\((x,y) = \{(-2,0), (1,0), (3,0), (0,-6)\}\)
In the above ordered pairs, the points where y or f(x) equals 0 are:
\((x,y) = \{(-2,0), (1,0), (3,0)\}\)
Remove the y-values
\(x = \{-2, 1, 3\}\)
The above set represents the values of x, when f(x) = 0.
Hence, the values of x, when f(x) = 0 are -2, 1 and 3
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If f(x) = 2x^4, then f'(3) =
To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).
Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.
The power rule for derivatives is \(\frac{d}{dx} [x^{n} ] =nx^{n-1}\). In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.
f'(x) = \(\frac{d}{dx}\)(2x⁴)
f'(x) = 2(4)x³
f'(x) = 8x³
Now, to find f'(3), plug 3 into your derivative.
f'(3) = 8(3)³
f'(3) = 216
Answer:f'(3) = 216
whats the equation of the line that goes through the points (6,8) and (-2,3)
Answer:
y = 5/8x + 17/4
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - 8 / -2 - 6
5/8
y = 5/8x + b
3 = 5/8(-2) + b
3 = -5/4 + b
17/4 = b
If the letters of sassafras are randomly permuted, what is the probability that the four s's are adjacent and the three a's are adjacent?
The probability that the four s's are adjacent and the three a's are adjacent is 1/18
The total number of possible permutations of the letters in "sassafras" is 9!/(4!3!2!) = 1260, where 4! and 3! account for the permutations of the four s's and three a's, respectively, and 2! accounts for the permutations of the two remaining letters (f and r).
To calculate the number of permutations where the four s's are adjacent and the three a's are adjacent, we can consider them as a single block of seven letters: (ssssaaa). This block can be arranged in 7!/(4!3!) = 35 ways. The remaining two letters (f and r) can be placed in the remaining two positions in 2! ways.
Therefore, the number of permutations that satisfy the given conditions is 35 x 2! = 70.
The probability of selecting a permutation that satisfies both conditions is then 70/1260 = 1/18.
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The first term of a sequence is 19. The term-to-term
rule is to add 14 each time.
What is the nth term rule for the sequence?
Answer:
\(a_n=14n+5\)
Step-by-step explanation:
\(a_n=a_1+(n-1)d\\a_n=19+(n-1)(14)\\a_n=19+14n-14\\a_n=14n+5\)
Here, the common difference is \(d=14\) since 14 is being added each subsequent term, and the first term is \(a_1=19\).
what is 5.823 rounded to the nearest whole
what is 3.147 rounded to the nearest whole
Answer:
6 and 3
Step-by-step explanation:
5.8 to the nearest whole is 6
3.147 to the nearest whole is 3
I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
A boxed area represents 25% of the data set. This means that 70-85 is 25% and 85-100 is 25%
25%+25%=50%
7. What is the equation of the line in slope intercept
form that passes through (6,8) and (-2,4)
\((\stackrel{x_1}{6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{6}}} \implies \cfrac{ -4 }{ -8 } \implies \cfrac{ 1 }{ 2 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{6}) \\\\\\ y-8=\cfrac{ 1 }{ 2 }x-3\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x+5 \end{array}}\)
The product of 17 x .67 is ?
Answer:
11.39
Step-by-step explanation:
Have a great day! :)
A rectangle has a height of 3p^2+13p
2
+13, p, squared, plus, 1 and a width of p^3+4p
3
+4p, cubed, plus, 4.
Answer:
-5p+7p^3
Step-by-step explanation: A rectangle has a height of 3p^2+13p
2
+13, p, squared, plus, 1 and a width of p^3+4p
3
+4p, cubed, plus, 4. we onnat
Let D = {16,19.21}, E = {16,18, 19,20} and F = {15, 17, 18,19,21). List the elements in the set DUE
All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.
What is the union of sets?The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.
Given, sets D = {16,19.21},
E = {16,18, 19,20},
and F = {15, 17, 18,19,21}.
To find the elements in the set DUE:
Here, we have to find the collection of sets D and E
And we have the elements of,
D = {16,19.21}
And E = {16,18, 19,20}.
To find the union of sets, we take all the elements in the union set.
And while doing, we should not repeat the elements.
And put the elements in the ascending order.
So, the union of set D and E is,
DUE = {16,18,19,20,21}
Therefore, the DUE is {16,18,19,20,21}.
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please help me find the area of the composite figure :)
how do i do this
please explain what this means
Answer:
y = 0
Step-by-step explanation:
The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.
For example, when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4). Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.
You can think of reflections as a flip over a designated line of reflection. You can often visualize what a reflection over the x axis or a reflection over the y axis may look like before you ever apply any rules of plot any points. This aspect of reflections is helpful because you can often tell if your transformation is correct based on how it looks. If the new image resembles a mirror image of the original, you’re in good shape! If it does not, you probably did something wrong.
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The price of a technology stock was $9.61 yesterday. Today, the price rose to $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent. % Х $ ?
Answer:
-1.31979695431% Round to nearest tenth its 1.3%
Step-by-step explanation:
If 7 : 11 :: x : 154, then x is
Answer:
98
Step-by-step explanation:
7 : 11 :: x : 154
Also,
\( \frac{7}{11} = \frac{x}{154} \)
\( = > \frac{x}{154} = \frac{7}{11} \)
\( = > x = \frac{7 \times 154}{11} \)
=> x = 7 × 14
=> x = 98 (Ans)
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.