The triangle with sides 54 m , 78 m and 90 m is not a right angle triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ΔABC
Now , the value of the sides of the triangle is
AB = 54 m
BC = 78 m
AC = 90 m
Now , for the triangle to be right angle triangle , it should satisfy the Pythagoras Theorem
So , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substitute the values in the equation , we get
AC² = AB² + BC²
90² = 54² + 78²
8100 = 2916 + 6084
8100 ≠ 9000
Therefore , the triangle ΔABC is not a right angle triangle
Hence ,
The triangle with sides 54 m , 78 m and 90 m is not a right angle triangle
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A catapult’s lever holds a cannonball. The lever is attached to a tightly held rope. When the rope is released, the lever springs forward and launches the cannonball. When the rope is held tightly, which form of energy does it possess?
Answer:
elastic
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please answer these questions individually mentioning the question.
No Plagiarism please.
Questions (Total marks available = 100) [Q1] Explain the differences between SC and Logistics. (150 words) [Q2] What is outsourcing? Give an example of how outsourcing is used in logistics (150 words)
Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.
Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.
Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.
SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.
Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).
An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.
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can someone please help me :(((((((
Answer:
D
Step-by-step explanation:
Answer:
C) 3
Step-by-step explanation:
combine like terms
=> \(x^{2+3}\) × \(y^{2+?}\) = \(x^{5}y^{5}\)
=> \(x^{5} y^{2+?}\) = \(x^{5}y^{5}\)
divide \(x^{5}\) on both side to eliminate x
=> \(y^{2+?}\) = \(y^{5}\)
=> \(y^{2+3}\) = \(y^{5}\)
=> \(y^{5}\) = \(y^{5}\)
-3x+4y=8
Convert the equation from standard form to slope intercept form
Answer:
\(\large\boxed{ \tt y=\frac{3}{4}x+2}\)
Step-by-step explanation:
\(\textsf{We are asked to convert the given equation from standard form to slope-intercept form.}\)
\(\textsf{Standard form is a more complex form of a linear equation.}\)
\(\textsf{Let's review important information necessary.}\)
\(\large\underline{\textsf{Standard Form;}}\)
\(\tt Ax+By=C\)
\(\textsf{For this equation, A, B, and C are integers.}\)
\(\textsf{C is the y-intercept.}\)
\(\textsf{A is the slope.}\)
\(\textsf{B represents how many times the whole equation \underline{was} multiplied by.}\)
\(\underline{\textsf{A more simplified equation;}}\)
\(\tt x + y = c\)
\(\textsf{We need to change this equation into slope-intercept form.}\)
\(\large\underline{\textsf{Slope-Intercept Form;}}\)
\(\tt y = mx+b\)
\(\textsf{Note that this equation \underline{isn't} multiplied.}\)
\(\textsf{M represents the slope.}\)
\(\textsf{B represents the y-intercept.}\)
\(\textsf{We should change where the y is, and divide the equation by how much B is.}\)
\(\large\underline{\textsf{To Start;}}\)
\(\tt-3x+4y=8\)
\(\textsf{The y-intercept is 8.}\)
\(\textsf{The slope is -3.}\)
\(\textsf{The equation is multiplied by 4, so we should divide by 4.}\)
\(\large\underline{\textsf{Divide by 4;}}\)
\(\tt \frac{-3x+4y}{4} =\frac{8}{4}\)
\(\tt -\frac{3}{4}x+y=2\)
\(\textsf{Now, for slope-intercept form, y has to \underline{equal} the slope and the y-intercept added together.}\)
\(\textsf{Modify the equation where y is the result by adding the slope to both sides.}\)
\(\large\underline{\textsf{Change into Slope-Intercept Form;}}\)
\(\tt -\frac{3}{4}x+y=2\)
\(\tt -\frac{3}{4}x + \frac{3}{4}x+y=2 + \frac{3}{4} x\)
\(\underline{\textsf{Switch around the slope and the y-intercept;}}\)
\(\large\boxed{ \tt y=\frac{3}{4}x+2}\)
Answer:
y = (3/4)x + 2
Step-by-step explanation:
Now we have to write,
→ The equation in slope-intercept form.
The equation is,
→ -3x + 4y = 8
The slope-intercept form is,
→ y = mx + b
Let's rewrite the given equation,
→ -3x + 4y = 8
→ 4y = 8 + 3x
→ 4y = 3x + 8
→ y = (3x + 8)/4
→ y = (3x/4) + (8/4)
→ [ y = (3/4)x + 2 ]
Hence, the answer is y = (3/4)x + 2.
exact value of the expressiontan 25° + tan 110° 1 − tan 25° tan 110°
The exact value of the expression is -1.
The expression involves tan 25° and tan 110°. The expression you provided is:
tan 25° + tan 110° / (1 - tan 25° tan 110°)
First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:
tan 110° = -tan 70°
Now, we can rewrite the expression as:
tan 25° - tan 70° / (1 + tan 25° tan 70°)
Next, we can apply the tangent addition formula, which is:
tan (a - b) = (tan a - tan b) / (1 + tan a tan b)
Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:
tan (25° - 70°) = tan (-45°)
Since tan (-x) = -tan x, we have:
tan (-45°) = -tan 45°
Lastly, we know that tan 45° = 1, so:
-tan 45° = -1
Therefore, the exact value of the expression is -1.
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2 questions in the 2 pictures and then im done thank you
Answer:
Hey there!
For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.
For the second question we get a trapezoid, since the cross section does not pass through the vertex.
Hope this helps :)
The point V(6, 3) is translated 2 units left and 3 units up. What are the coordinates of the resulting point, V?
Answer:
( 4,6)
Step-by-step explanation:
To move the point 2 units to left, subtract 2 from the x coordinate
V'( 6-2,3)
V'( 4,3)
Now we move it 3 units up, which means we are adding 3 to the y coordinate
V' ( 4, 3+3)
V' ( 4,6)
The new point is ( 4,6)
The gumball machine contains 9 red,7 white and 8 blue gumballs. find the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.
The person must buy 10 gumballs so that she gets 4 gumballs that are the same color.
Given, gumball machine contains 9 red gumballs
7 white gumballs and
8 blue gumballs.
we are asked to determine the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.
If a person gets three gumballs of each of the three colors, that is, 9 gumballs, then the 10th gumball must be the fourth one for one of the colors. Therefore, the person must buy 10 gumballs.
Hence 10 gumballs should be purchased.
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WILL MARK BRAINLIEST IF CORRECT
Answer:
2x - 8 = 12 has the same solution as 12/x-4 = 2
Step-by-step explanation:
They both equal 10
Rewrite each equation without absolute value for the given conditions.
(Please help)ASAP
1. y = |x − 3| + |x +2| − |x − 5| if x >5
2. y = |x − 3| + |x +2| − |x − 5| if x < −2
3. y = |x − 3| + |x +2| − |x − 5| if 3
The equations without absolute value for the given conditions are: 1. y = -3x + 6 if x > 5; 2. y = -x - 6 if x < -2; 3. y = x - 6 if 3 ≤ x ≤ 5, and y = -x - 6 if x < 3.
1. When x > 5, the expression (x - 3) is positive, (x + 2) is positive, and (x - 5) is positive. Thus, to get absolute value we can rewrite the equation as:
y = (x - 3) + (x + 2) - (x - 5)
Simplifying this, we get:
y = 2x - 4
2. When x < -2, the expression (x - 3) is negative, (x + 2) is negative, and (x - 5) is negative. Thus, we can rewrite the equation as:
y = -(x - 3) - (x + 2) + (x - 5)
Simplifying this, we get:
y = -2x + 6
3. When -2 ≤ x ≤ 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is negative. Thus, we can rewrite the equation as:
y = -(x - 3) + (x + 2) - (x - 5)
Simplifying this, we get:
y = 10 - x
When x > 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is positive. Thus, we can rewrite the equation as:
y = -(x - 3) + (x + 2) + (x - 5)
Simplifying this, we get:
y = -2x + 6
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if u answer correct u r a math god its hard trust me
Answer:
27 square units
Step-by-step explanation:
Area of triangle = 1/2(b)(h)
Base = 6
Height = 9
1/2(6)(9)
1/2(54)
Area = 27 units
A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.
Find the.z-score for a value of 25, to the nearest hundredth.
Answer: -0.57
Step-by-step explanation:
z-score: data - mean / standard deviation
25 - 27 / 3.5
= -0.57
Assuming that a car travels at an average speed of 50 miles per hour, how many miles must be driven before a fatality is expected
To find the answer to this question, we need additional information such as the fatality rate per mile of driving for cars. Therefore, it is not possible to calculate how many miles must be driven before a fatality is expected.
The average speed of a car, which is 50 miles per hour, is not enough information to determine how many miles must be driven before a fatality is expected. The risk of a fatality occurring during a car ride depends on many factors such as driving behavior, road conditions, weather, vehicle safety features, and many other variables.A fatality rate is the number of fatalities per a certain amount of driving. For example, a fatality rate of 1.2 deaths per 100 million miles driven means that 1.2 people died per every 100 million miles driven.
According to the National Highway Traffic Safety Administration (NHTSA), the fatality rate per 100 million vehicle miles traveled in 2019 was 1.11. This means that for every 100 million miles traveled in motor vehicles, 1.11 people died.Assuming that a car travels at an average speed of 50 miles per hour, it does not give information about how far the car has traveled or how long it has been on the road. Therefore, the information given in the question is insufficient to determine how many miles must be driven before a fatality is expected.
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2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
A caterpillar eats 1400\%1400%1400, percent of its birth mass in one day. The caterpillar's birth mass is mmm grams.
Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day?
Choose 2 answers:
sorry, I just copied and pasted and it gave me extra numbers.
by the way, this is for khan academy
Answer:
I d k
Step-by-step explanation:
Answer:
The correct answer is B and E.
Step-by-step explanation:
I did it in Khan Academy.
Estimate the cost of putting up a decorative border in your family room if your room is 28 feet long and 16 feet wide and the border costs $8.95 for a package containing 10 feet.The estimated cost is $___
The cost of putting a border around the family room is $ 89.5 .
Dimensions of the room = 28 feet by 16 feet
Now we have to find the perimeter of the room to calculate the length of the border.
The room is a rectangle.
The perimeter of a rectangle is exactly given by
2 × (length + width)
perimeter = 2 × ( 28 + 16 ) feet
Perimeter = 88 feet
Cost of 10 feet = $ 8.95
Boxes needed = 88 / 10 = 8.8 boxes.
Now boxes cannot be taken as a fraction.
Therefore number of boxes required = 10
Cost of 10 boxes =$8.95 × 10 = $ 89.5
Therefore the cost of putting a border around the family room is $ 89.5 .
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a rectangular box is 10 inches wide, 10 inches long, and 5 inches high. what is the greatest possible (straight-line) distance, in inches, between any two points on the box?
The greatest possible straight-line distance between any two points on the rectangular box is approximately 15 inches.
To find the greatest possible straight-line distance between any two points on the rectangular box, we need to use the Pythagorean theorem.
First, we can find the diagonal of the base of the box by using the Pythagorean theorem:
a² + b² = c²
Where a and b are the length and width of the base of the box, and c is the diagonal.
Substituting the given measurements, we get:
10² + 10² = c²
100 + 100 = c²
200 = c²
c ≈ 14.14
Now, we can find the diagonal of the box itself by using the Pythagorean theorem again:
a² + b² + c² = d²
Where a, b, and c are the length, width, and height of the box, and d is the diagonal.
Substituting the given measurements, we get:
10² + 10² + 5² = d²
100 + 100 + 25 = d²
225 = d²
d ≈ 15
Therefore, the greatest possible straight-line distance between any two points on the box is approximately 15 inches.
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if the area of a rectangle is represented by x^2 – 25, write the length and width of the rectangle as factors.
Answer:
it's a square with sides all equal to 5 units
Step-by-step explanation:
help me with my math assignment for 25 points and crown.
The dimensions and volumes of the various containers that can be ,made with the 3 meters × 3 meters sheet of fine wire indicates that the maximum volume possible is 2 m³
What is the volume of a rectangular prism container?The volume of a rectangular prism container is the product of the base area and the height of the container.
The volume of the open-topped container formed by the 3 m × 3 m sheet of fine wire mesh can be presented as follows
Step 1:
\(\begin{tabular}{|c|c|c|c|c|c|} \cline{1-5}Corner cut (m) & Length (m)&Width (m)&Height(m)&Volume (m^3) \\ \cline{1-5}0& 3&3&0&0 \\ \cline{1-5}0.5 & 2&2&0.5&2 \\ \cline{1-5} 1& 1&1&1&1 \\ \cline{1-5} \cline{1-5}\end{tabular}\)
Step 2; Let x represent the corner cut
Step 3; The expression for the new side length can be found as follows;
When x is cut from each corner, the new side length is; 3 - 2·x
Step 4: The expression for the volume can be obtained from the volume of a cube formula, which is; V = L × W × H
Where;
L = The length of the box = 3 - 2·x
W = The width of the box = 3 - 2·x
H = The height of the box = x
Therefore, the volume of the container is; x·(3 - 2·x)²
Step 5: Please find attached the graph of the volume function created with MS Excel
Step 6; The value of the volume cut that generates the (optimal) maximum volume, obtained from the graph is; x = 0.5
Step 7 The values in the table indicates that when x = 2, the volume will be 3 m³, which is the maximum volume.
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The formula below is used to convert a temperature in degrees Celsius, C to a temperature in degrees Fahrenheit, F
F = 1.8C + 32
The high temperature in a mountain city was 15 C. What was the high temperature in degrees Fahrenheit?
Find the measure of the numbered angle. A)100 b)90 c)95 d)180
What is the input value other than -2−2minus, 2 for which h(x)=6h(x)=6h, left parenthesis, x, right parenthesis, equals, 6?
x=x=x, equals
A coordinate plane. The x- and y-axes both scale by one. There is a graphed function, y equals h of x, which is made up of line segments. A line segment connects negative ten, four to negative nine, five. A line segment connects negative nine, five to negative eight, four. A line segment connects negative eight, four to negative four, eight. A line segment connects negative four, eight to zero, four. A line segment connects zero, four to one, two. A line segment connects one, two to three, zero. A line segment connects three, zero to four, two. A line segment connects four, two to seven, negative one. A line segment connects seven, negative one to eight, zero. A line segment connects eight, zero to nine, negative two. A line segment connects nine, negative two to ten, negative one.
Answer:
-6
Step-by-step explanation:
You want to know where the line y=6 intersects the graph of h(x) shown as a series of line segments.
Points of intersectionThe attached graph shows the value of h(x) is 6 for x=-2 (known) and x=-6.
The other input value is -6.
← Given the sequence: a₁ = 4 an 11 4 an =an-1.4 1 write the explicit formula:
Answer:
Step-by-step explanation:
To find the explicit formula for the given sequence, we can use the recursive formula and keep substituting until we get a general formula.
a₁ = 4
a₂ = a₁ - 4 = 4 - 4 = 0
a₃ = a₂ - 4 = 0 - 4 = -4
a₄ = a₃ - 4 = -4 - 4 = -8
a₅ = a₄ - 4 = -8 - 4 = -12
a₆ = a₅ - 4 = -12 - 4 = -16
We can see that the sequence is decreasing by 4 each time, and we can write the general formula as:
aₙ = 4 - 4(n - 1)
Simplifying the formula, we get:
aₙ = -4n + 8
Therefore, the explicit formula for the given sequence is aₙ = -4n + 8.
X-3=4 with work to provide
Answer:
7
Step-by-step explanation:
x-3=4
x=4+3
x=7
Answer:
x=7
Step-by-step explanation:
You use inverse operation which means You ADD 3 to -3 cross it out and three to 4 . 3+4 =7 SO you would get x=7
Guys PLease someone help ACTUALLY DONT ASNWER IF U DONT KNOW IT MAN
please guys ASAP!!
Question:
10. A local dance warehouse needs to purchase new stock in ballet shoes. A Canadian company is offering a price of $5747.50 in Canadian Funds for 250 pairs of shoes. An American company is offering a price of $19.00 in US Funds per pair of shoes. If 1 Canadian Dollar is worth $0.79 in US Dollars, which company is offering the best price? JUSTIFY your answer by calculating the unit rates.
Answer:
the best company is canadian since the shoes are equivalent to 4,540.525$ (US dollars)
while if you multiply the american (19× 250) company they sell it for 4750 dollars
explanation:
5747.50 in canadian dollars for 250 pairs of shoes
make 5747.50 into US dollars by multiplying
5747.50 × 0.79 so thats how it equals 4,540.525 or 4,540$ (us dollars)
sorry if im speeding this up im in school rn
Select all the correct answers,
Which relations represent functions?
Answer:
A and C are the correct answer
Step-by-step explanation:
Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
50 POINTS HELP NOW
Find the logarithm base 10 of each number:
10
The logarithm base 10 of the number 10 is 1
How to solve logarithm ?We have to find logarithm base 10 of number 10.
Therefore, using logarithm rule
logₐ a = 1
Hence,
log₁₀ 10 = 1
Therefore, logarithm base 10 of the number 10 is 1
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Answer:
1
Step-by-step explanation:
A lasagna recipe calls for 3 and 3/4 cup of tomato sauce DeMarco already has 1 and 1/4 cups of tomato sauce he wants to know how many more cups of tomato sauce he needs. Let y be the number of cups of tomato sauce DeMarco still needs.
Answer: DeMarco still needs 2 1/2 cups of tomato sauce.
Step-by-step explanation:
Solve for 3 3/4 cups (needed) - 1 1/4 cups (have).
2 2/4 cups
Simplify:
2 2/4 -> 2 1/2 cups
Answer:
DeMarco needs 2 2\4 cups more tomato sauce
Step-by-step explanation:
1 1\4+y=3 3\4
subtract 1 1\4 from both sides
y=2 2/4
global warming leads to a poleward displacement of midlatitude cyclone tracks. global warming is unrelated to midlatitude cyclone tracks. greenhouse gas emissions have little to do with the atmospheric greenhouse effect. the conveyor belt model is inconsistent with greenhouse theory.
The statement "global warming leads to a poleward displacement of midlatitude cyclone tracks" is generally supported by scientific evidence and is widely accepted by the scientific community.
This is because the increase in global temperatures due to global warming affects atmospheric circulation patterns, leading to shifts in weather systems, including midlatitude cyclones.
On the other hand, the statement "global warming is unrelated to midlatitude cyclone tracks" is not supported by scientific consensus.
The statement "greenhouse gas emissions have little to do with the atmospheric greenhouse effect" is incorrect. Greenhouse gas emissions, such as carbon dioxide and methane, are major contributors to the greenhouse effect, which is responsible for trapping heat in the Earth's atmosphere.
Lastly, the statement "the conveyor belt model is inconsistent with greenhouse theory" is also incorrect. The conveyor belt model, also known as the thermohaline circulation, describes the movement of ocean currents that play a significant role in distributing heat around the globe. While it is not directly related to the greenhouse effect, it is not inconsistent with greenhouse theory and operates independently to transport heat in the ocean.
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