The area of ΔADC is equal to 6 unit².
What is the triangular area formula?The total area that is bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h.
A abc = A adc because the areas of the initial and reflected triangles are equal.
Using the formula area=1/2 base height, determine the area of triangle ABC.
ABC in a triangle:
base = 4 units + AC
height = 3 units + BE
AΔ= abc = 1/2×4×3 =6 unnit²
Hence,
ΔADC = 6 unit²
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hello please help i’ll give brainliest
Answer:
Mountains It will because when they collide one goes up and it will form a Mountain over time.
Step-by-step explanation:
hope it helps
have a great day
Answer:
Mountains
Step-by-step explanation:
Deep ocean trenches, volcanoes, island arcs, submarine mountain ranges, and fault lines are examples of features that can form along plate tectonic boundaries. When the plates move they collide or spread apart allowing the very hot molten material called lava to escape from the mantle. When collisions occur they produce mountains, deep underwater valleys called trenches, and volcanoes.
2. The value of a machine depreciates by 5% every year. It is given that the initial value of the machine is RM100 000.
(a) Express its value, in RM, after n years.
(b) Hence, find its value after 10 years to the nearest ringgit.
Answer:
Step-by-step explanation:
Depreciation means wearing and tearing in the value of an asset over the years
(a) Given:
p = initial value of an asset
i% = depreciation per year
n = number of years
Depreciation after n years (d) = [tex]p(1-\frac{1}{100} )^{n}[/tex]
Value of machine after n years = p-d
(b) Given:
p = RM100000
i% = 5
n = 10
Depreciation after 10 years = [tex]100000(1-\frac{5}{100} )^{10} = 59873.69392[/tex]
Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608
Value of machine after 10 years to nearest ringgit = RM40123
(6b+ 2) - (4b + 3)
Help pls I don’t know how to do this
Answer:
2b - 1
Step-by-step explanation:
To solve this problem, we will need to open the parentheses. To do this, we will put an imaginary 1 in front of both sets of parentheses to open them using the distributive property, this gives us:
1(6b + 2) - 1(4b + 3)
We will open the first set of parentheses with no problem, but in the second set, we have -1, so we need to make every positive number negative and every negative number positive, giving us:
6b + 2 - 4b - 3
Then, we group our like terms:
6b - 4b + 2 - 3
Then, we subtract, giving us:
2b - 1
So the most simplified version is 2b - 1.
Hope this helped!
Answer:
Step-by-step explanation:
You begin by distributing the negative so -4b -3
then you will multiply (6b+2) by (-4b -3)
24b^2 - 18b - 8b - 6
answer = 24b^2 - 26b - 6
Help me please I don't understand
Step-by-step explanation:
hope this helps you out with the problems
The table shows the gallons of fuel remaining after a car
travels a certain distance in miles
Distance
(miles)
Fuel Remaining
(gallons)
The change in fuel remaining from one row to the next
in the table is gallon(s)
The change in distance from one row to the next in the
table is
mile(s)
The slope of the line that runs through the points given
in the table is
The slope indicates a
13. 50
13. 46
13. 42
3
13. 38
13. 34
5
13. 30
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile
what is slope ?The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).
given
It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.
From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.
The distance in the table that changes from one row to the next is 1 mile.
The slope is the pace at which the amount of fuel left changes in relation to the change in distance.
The line that passes through the places listed in the table has a slope of -0.04 degrees.
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.
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What percent of left-handed people surveyed have artistic ability?
Answer:
65.6488549618 %
Step-by-step explanation:
total left = 131
left who have artistic ability = 86
proportion of left who have artistic ability = number of favorable outcomes/total outcomes = 86/131 = 0.65648854961
mutliply by 100 to convert to a percent
65.6488549618 %
¿Cuál de las figuras tiene ángulos agudos? A. El triángulo equilátero. B. El cuadrado. C. El pentágono regular. D. El heptágono regular.
Answer:
A. El triángulo equilátero.
Step-by-step explanation:
Un triángulo equilátero tiene ángulos agudos.
Los ángulos agudos tienen una medida de menos de 90 grados.
La suma de los ángulos del triángulo siempre debe ser igual a 180 grados.
Cuando 3 ángulos son iguales, la medida de cada uno de ellos vendrá dada por
3 veces = 180
x = 180/2 = 60 grados
La suma de los ángulos del cuadrado siempre es igual a 360 grados. Cuando 4 ángulos son iguales, la medida de cada uno de ellos vendrá dada por
4x = 360
x = 360/4 = 90 grados
Un cuadrado tiene cuatro ángulos rectos.
La suma de los ángulos del pentágono siempre es igual a 540 grados. Cuando 5 ángulos son iguales, la medida de cada uno de ellos vendrá dada por
5 veces = 540
x = 540/5 = 108 grados
Un pentágono regular tiene 5 ángulos obtusos.
La suma de los ángulos interiores del heptágono siempre es igual a 900 grados. Cuando 7 ángulos son iguales, la medida de cada uno de ellos vendrá dada por
7x = 900
x = 900/7 = 128,57 grados
Un heptágono regular tiene 7 ángulos obtusos.
Entonces, solo el triángulo equlateral tiene ángulos agudos.
English
An equilateral triangle has acute angles.
Acute angles are having measurement less than 90 degrees.
The sum of angles of the triangle must always be equal to 180 degrees.
When 3 angles are equal then the measure of each of them will be given by
3x= 180
x= 180/2= 60 degrees
The sum of angles of square always equal 360 degrees. When 4 angles are equal then the measure of each of them will be given by
4x= 360
x= 360/4= 90 degrees
A square has four right angles.
The sum of angles of pentagon always equal 540 degrees. When 5 angles are equal then the measure of each of them will be given by
5x= 540
x= 540/5= 108 degrees
A regular pentagon has 5 obtuse angles.
The sum of interior angles of heptagon always equal 900 degrees. When 7 angles are equal then the measure of each of them will be given by
7x= 900
x= 900/7= 128.57 degrees
A regular heptagon has 7 obtuse angles.
So only equilateral triangle has acute angles.
What is the arithmetic mean of the following numbers?
1, 2, 4, 6, 4
Answer:
3.4
Step-by-step explanation:
Find the point(s) on the surface at which the tangent plane is horizontal.
z = xy + 1 x + 1 y
The point(s) on the surface at which the tangent plane is horizontal are (0, 0, 1).
To find the point(s) on the surface at which the tangent plane is horizontal, we need to find the points at which the partial derivatives of z with respect to x and y are both equal to 0. This means we need to solve the system of equations:
∂z/∂x = 0 ∂z/∂y = 0Solving this system of equations yields x = 0, y = 0, and z = 1. Therefore, the point(s) on the surface at which the tangent plane is horizontal is (0, 0, 1).
To understand why solving the system of equations yields the points for which the tangent plane is horizontal, it is important to understand what the partial derivatives represent. The partial derivative of z with respect to x is the rate of change of z with respect to x, and similarly for y.
When the partial derivatives are both equal to 0, it means that the rate of change of z with respect to x and y is 0, which implies that the tangent plane is horizontal.
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HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
x=??
Answer:
65
Step-by-step explanation:
arc TS = 360 - 90 - 150
Arc TS = 120
The central angle is also 120
x is 1/2 of the central angle
x = 1/2 * 120
x = 60
A right pyramid has a square base with perimeter 24 inches. Its apex is 9 inches from each of the other vertices. What is the height of the pyramid from its peak to the center of its square base, in inches
If the square base with perimeter 24 inches then the height of the right pyramid be 8.485 - inches.
What is meant by right pyramid?A right pyramid is one whose apex is located exactly above the centroid of the base. As a result, a right pyramid is a special instance of a regular pyramid.
It is referred to as the right pyramid if the pyramid's apex lies immediately above the base's center. If not, the pyramid is known as the oblique pyramid.
A right-triangular pyramid is a three-dimensional object that has a base that is a right-angle triangle and extends up to a single point.
Right pyramids have apex points that are immediately above the centroid of their base. Oblique pyramids are referred to as non right pyramids. An implied right pyramid is a regular pyramid since it has a regular polygon base.
24 / 4 = 6 inches - the edge length of the square base
9² = 3² + Height²
simplifying the above equation, we get
Height² = 9² - 3²
Height² = 72 take the square root of both sides
Height = ~8.485 - inches - the height of the pyramid.
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If the square base with perimeter 24 inches then the height of the right pyramid be 8.485 - inches.
What is meant by right pyramid?The centroid of the base is exactly where the top of a right pyramid sits. Consequently, a right pyramid is a unique example of a standard pyramid.
If the top of the pyramid sits directly above the centre of the base, it is referred to as the right pyramid. If not, the structure is referred to as an oblique pyramid.
A right-triangular pyramid is a three-dimensional object with a base that rises to a single point from a right-angle triangle.
Apex points of right pyramids are located directly above the centroid of their base. Non-right pyramids are another name for oblique pyramids. Given that its base is a regular polygon, an implied right pyramid is a typical pyramid.
24 / 4 = 6 inches - the edge length of the square base
9² = 3² + Height²
simplifying the above equation, we get
Height² = 9² - 3²
Height² = 72 take the square root of both sides
Height = ~8.485 - inches - the height of the pyramid.
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HELP Trigonometry: Find the area of each shape using the given information
Given:
The vertical height of the trapezoid = 2.9 m
The bases of the trapezoid are 2.3 m and 9.3 m.
To find:
The area of the given trapezoid.
Solution:
The area of a trapezoid is:
[tex]A=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases or length of parallel sides and h is the vertical height of the trapezoid.
Putting [tex]a=2.3,\ b=9.3,\ h=2.9[/tex] in the above formula, we get
[tex]A=\dfrac{1}{2}(2.3+9.3)(2.9)[/tex]
[tex]A=\dfrac{1}{2}(11.6)(2.9)[/tex]
[tex]A=16.82[/tex]
Therefore, the area of the given trapezoid is 16.82 square m.
Can someone help answer this? Is this Biased or Unbiased?
Answer:
unbiased
Step-by-step explanation:
Answer:
I think its unbiased because biased is where prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair. and I think it is fair. I might be wrong tho
ILL GIVE BRAINLIESIT HELP
What is the surface area of a cylinder with base radius 4 and height 5?
Select the exact answer in terms of π.
Answer:
Solution given:
radius [r]=4
height [h]=5
we have
Surface area of cylinder=2πr(r+h)
=2π×4(4+5)
=72πunits³ is a required volume.
70%of $10 =$
Complete the following the statement
Answer:
7
Step-by-step explanation:
Have a good day :)
Answer:
70% of $10 = $7
...............................
There are 25 children in Class 2A and 20% of them wear glasses. How many wear glasses?
What is the domain of the following function?
Therefore , the solution of the given problem of equation comes out to be each diagonal measures 8.4 units in length..
Define equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.
Here,
Given: 16x + 2 = 36x - 6
8 = 20x
x = 8/20,
simplifying to 2/5, or 0.4
You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.
Re-enter the value of x into a single of the equations.
=>16(0.4) + 2
=>6.4 + 2
=>8.4
To make sure, confirm with the other diagonal.
=>36(0.4) - 6
=>14.4 - 6
=>8.4
Each diagonal measures 8.4 units in length..
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The complete question is "To find the diagonal x value by the given equation 16x + 2 = 36x - 6 "
What is a logarithmic curve?
A logarithmic curve is a mathematical function.
A logarithmic curve, also known as a logarithmic function, is a type of mathematical function that describes a relationship between a variable x and a variable y in which the logarithm of y is a linear function of x.
The general form of a logarithmic function is y = logb(x), where b is the base of the logarithm, and x and y are real numbers. The base of the logarithm can be any positive number, but the most common bases used are 10 (common logarithm) and e (natural logarithm).
The graph of a logarithmic function is a curve that starts at negative infinity and increases gradually as x increases. The slope of the curve becomes closer to zero as x increases, and it is undefined for x=0 or x<0.
Logarithmic functions are often used in many areas of science, engineering, and mathematics to model real-world phenomena that exhibit exponential growth or decay, such as population growth, radioactive decay, sound levels and more.
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NEED HELP QUICKLY!
x=?
y=?
morgan has a round garden. the diameter is 14ft. what is the area of her garden
Answer: I dont know
Explain Answer Step-By Step:Hey
STEM Osmium is the densest chemical element. A cubic centimeter of osmium has a mass of about 23 grams. If a chemist has 2,530 grams of osmium, about how many cubic centimeters does the chemist have?
Answer: To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.
First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:
2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters
So, the chemist has approximately 110 cubic centimeters of osmium.
It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.
Step-by-step explanation:
The numbers 176 and 342, written as the products
of their prime factors, are 176 = 24 x 11 and
342 = 2 x 32 x 19. Hence, find the smallest whole
number that is divisible by both 176 and 342.
The smallest whole number that can be divisible by both 176 and 342 is 30096.
To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.
176 = 2×2×2×2×11= 2⁴× 11
342 = 2×3×3×19 = 2 × 3² × 19
According to the prime factorization method, we have to multiply the highest powers.
So LCM = 2⁴× 3²× 11 ×19
= 30096
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Here are two points: (-3, 4), (1, 7). What is the slope of the line between them?
A.4/3
B.3/4
C.1/6
D.2/3
Answer:
B. 3/4
Step-by-step explanation:
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( -3 , 4 )
Let the second point be Q = Q ( 1 , 7 )
Now , the slope of the line between the two points is given by the formula ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 7 - 4 ) / ( 1 - ( -3 ) )
On simplifying the equation , we get
Slope m = 3 / 4
Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four points to lower their rate to 4. 81%. How much will the four points cost them?
The cost of the four points will be $8296.8496
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
$ 128,000 is the amount financed (P).
t = 15 years
The interest rate equals 5.05%.
Amount after 15 years equals,
A = [tex]P(1+\frac{r}{100}[/tex]
=128,000[tex](1+\frac{5.05}{100} )^{15}[/tex]
=268009
Rose and Andrew has taken four points to lower their rate to 4.81% .
A =128,000 [tex](1+\frac{4.81}{100} )^{15}[/tex]
A = 259,713
Cost of four points = 268,009.890 - 259,713.040 = $8296.8496
Hence, the cost of the four points will be $8296.8496
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I want to install carpet in my living room, which is 200 inches long and 50 ft wide. The carpet is sold for 5000 naira per yard2. How much will I pay?
Answer:
462962.96 naira
Step-by-step explanation:
This problem is complicated by the use of two different units. I chose to use inches for the dimensions of the carpet.
200 in long
50 ft wide = 50 x 12 = 600 in.
Area = 200 x 600 = 120000 in^2
A square yard is a square 36 in. x 36 in. = 1296 in^2
Divide 120000 by 1296 to find out how many square yards of carpet you'll need.
120000 / 1296 = 92.59
Multiply by 5000 naira/yd^2 = 462962.96
Please help!!
“Find the volume of the cylinder.”
Answer:
v=πr²h
v=3.14x6²x6
v=3.14x36x6
v=678.24cm³
Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression
The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.
Which on round off is , -0.85.
The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .
Therefore, the AOD for cos149 degree is found out to be as ,
α = arctan(vertical distance / horizontal distance)
α = arctan(10 / 11.998)
α = arctan(0.83347224537423)
α = 0.69482025147278 ° ≈ 0.69 °
The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance. If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.
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Please help, I've been trying to figure this out for an hour.
Answer:
8
Step-by-step explanation:
hypotenuse is always double the short leg there for your answer would be 8 because 16/2 = 8
Answer:
8
Step-by-step explanation:
Well this is a right triangle which means that you can use the Pythagorean Theorem to solve it.
a^2+b^2=c^2
The 2 lines on the other 2 sides means that those 2 sides are congruent so they are the same
C is the hypotenuse and a=b so
a squared + a squared = 16 squared = 156
that should help you get started
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
24=c