Answer:
base = 519.62, height = 173.21 m
Step-by-step explanation:
Let the base and height of the triangle be represented by b and h respectively.
Thus,
b = 3h
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
For the given triangle,
area = [tex]\frac{1}{2}[/tex] x b x 3h
= [tex]\frac{3}{2}[/tex]bh
Area of the triangle = [tex]\frac{3}{2}[/tex]bh
To determine the number of hectares,
36 per hectare = 486
hectare = [tex]\frac{486}{36}[/tex]
= 13.5
numbers of hectares = 13.5
Area of the hectares = number of hectares x 10 000 m²
= 13.5 x 10 000
= 135000
Total area of the hectares = 135 000 m²
So that,
area of the hectares = area of the triangle
area of the triangle = [tex]\frac{3}{2}[/tex]bh
135 000 = [tex]\frac{3}{2}[/tex]bh
270000 = 3bh
bh = [tex]\frac{270000}{3}[/tex]
= 90000
bh = 90000
But, b = 3h
3h x h = 90000
3[tex]h^{2}[/tex] = 90000
[tex]h^{2}[/tex] = [tex]\frac{90000}{3}[/tex]
= 30000
h = [tex]\sqrt{30000}[/tex]
= 173.2051
h = 173.21 m
So that,
b = 3 x 173.2051
= 519.6153
b = 519.62
Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.
what is the slope of the line that contains points (3,-9) and (-2,16) please help !!
Slope = Change in Y / change in x
Slope = (16 - -9) / (-2 - 3)
Slope = 25/-5
Slope = -5
Enter an expression equivalent to (a^9/a^3) in the form a^m
Answer:
Step-by-step explanation:
[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]
Use the given similar triangles to find the value of x
I need the answer fast please!!
Answer:
I believe the answer is x=7
Step-by-step explanation:
3x and 4x-1 are corresponding sides and so are 14 and 18.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?
Is the set of ordered pairs presented in the arrow diagram a function?Explain.
Answer:
no
Step-by-step explanation:
a function cant have the same range
Answer:
Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.
Step-by-step explanation:
Write an
inequality to compare – 24 and -14.
Answer: The position of -24 is to the left of -14.
The position of -14 is to the right of -24.
Step-by-step explanation:
We can conclude that -18 < -2.
We can conclude that -14> -24.
Find the coordinates of the midpoint ofL(2, -4), M(4, 6)
Answer:
[tex]\displaystyle (3,1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point L(2, -4)
Point M(4, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [MF]: [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add: [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (3,1)[/tex]A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation
Answer:
[tex]y=32500(0.86)^{x}[/tex]
Step-by-step explanation:
General exponentially depreciating function is given as
[tex]y= a(1-b)^{x}[/tex]------------(1)
Where a is initial value, b is percent depreciation/unit time and x is time
Here
[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]
Substituting above values in equation (1)
[tex]y=32500(0.86)^{x}[/tex]
At x=0
[tex]y=32500(0.86)^{0}\\y=32500[/tex]
At x=1
[tex]y=32500(0.86)^{1} \\y=27950[/tex]
The point (1, -5) is reflected across the y-axis. What are it's new coordinates?
Answer:
I'm in 6th grade and we talked about this so I can help!
Step-by-step explanation:
The answer is (-1,-5) which is in quadrant 3
Answer:
It would be (-1, -5) because it is reflected across the y axis which means the y axis stays the same, but the x axis changes
Step-by-step explanation:
Given f(x) = 2x + 2, solve for x when f(x) = -4
Anyone know the answer?
Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill?
Answer:
22.59
Step-by-step explanation:
Answer: 24.53
22.50 x 9% = Unknown = ?
22.50 x 0.09 = 2.03
22.50 + 2.03 = 24.53
Answer/ Total Cost = 24.53
Step-by-step explanation: I Hope this helps you!
HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST
Answer:
ok.....mmmm............
Answer:
whats the ?
Step-by-step explanation:
Joe is saving for a new online video game. He has some money already in his savings, and he can add $2.50 each week. This relationship is shown in the graph. Write an equation and explain what the slope and the y-intercept mean in this situation?
Answer:
Y=2.50×+b
Step-by-step explanation:
y-intercept and put that into b and theres ur equation the y- intercept (B) represents the initial money that joe had in his savings the 2.50× part or the slope is the money that he states he can add each week.
♡Have a nice day♡
what year was the best 2020 or 2019 lol I think we all know the answer
Answer:
2019 obviously!!!!!!!!!!
Solve for x.
78
5x-1
15x-3
Answer:
x=8
Step-by-step explanation:
Angle S and R are remote interior angles which means that they would add up to equal angle RQK.
78+5x-1=15x-3
Combine like terms
77+5x=15x-3
Add 3 on both sides
80+5x=15x
Subtract 5x on both sides
80=10x
Divide 10 on both sides
x=8
EASY QUESTION!! is 12.0095 the same as 12.95?
Answer:
no
Step-by-step explanation:
not the same
If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?
Question 3 options:
nothing
subtract 3
add 3
multiply by 3
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
Answer:
[tex]no[/tex]
Step-by-step explanation:
Lets solve the first half.
[tex]-4 ( x - 6) = -4x + 24[/tex]
Second one:
[tex]-4 times x - 4 times 6 = -4x -24[/tex]
Now compare.....Not the same right??
So your answer is: [tex]no[/tex]
Hope this helps :)
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
Answer:
Around 364
Step-by-step explanation:
So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)
Then you multiply this by 57: 57x6.4 = 364.8
SOMEONE HELP BECAUSE I DONT GET THIS
Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166
7x+40 = 3x+112
x=18
7(18)+40
<A = 166
A roll of tape has a total length of 150 inches. What is the length of the roll of tape , in yards ?
Answer:
4.16667
Explain:
i looked it up
Answer:
4 and 1/6 yards
Step-by-step explanation:
There are 36 inches in each yard since there are 3 feet in a yard and 12 inches in a foot. if you divide 150 inches by 36 inches you get 4 yards with a remainder of 6 inches which is 1/6th of a yard
32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°
The measure of angle ZABD is 106°, the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The line AE and CD
Now,
The angle sum property to find angle D:
Z + A + B + D = 360° Substitute the given values:
Z + 32 + 58 + D = 360 Simplify:
Z + D = 270 Subtract Z from both sides:
D = 270 - Z
Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:
Z + C = 180°
You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:
Z + Y + X = 180°
You are given that Y = 10° and X = 6°. Substitute these values:
Z + 10 + 6 = 180 Simplify:
Z = 164
Now, you can use this value to find angle D:
D = 270 - Z Substitute Z = 164:
D = 270 - 164 Simplify:
D = 106
Therefore, by algebra the answer will be 106°.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
Justify whether the equation y=9x−4 defines a linear or nonlinear function.
X + 3 =8
X- 5 =7
Please someone help?
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7
Answer:
the answer is (1) x = 5 (2) x = 12
What is the hardest part of solving a triangle with 2 sides given for you?
Answer:
As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.
Step-by-step explanation:
Todos los días por la mañana Alfonso maneja a una velocidad de 80 km/hr para llegar a su trabajo a tiempo realizando un tiempo de 42min de regreso por la tarde disminuye su velocidad a 65km/hr ¿cuanto tiempo tarda para llegar a casa
Usando proporciones, tiene-se que tardará 52 minutos para llegar a casa.
-----------------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres. Considerando que la velocidad y el tiempo son inversamente proporcionales, a medida que uno aumenta y el otro disminuye, se aplica una regla inversa de tres, en la que la multiplicación está en la línea en lugar de cruzada.-----------------------------
80km/hr tiene un tiempo de 42 min. Qual el tiempo a una velocidad de 65 km/hr?80 km/hr - 42 min
65 km/hr - x min
Multiplicando las líneas:
[tex]65x = 80 \times 42[/tex]
[tex]x = \frac{80 \times 42}{65}[/tex]
[tex]x = 52[/tex]
Tardará 52 minutos para llegar a casa.
Un problema similar es dado en https://brainly.com/question/17390740
Solve for r: P= 2 r + 2x
Answer:
The correct answer is,
[tex]r = \frac{p}{2} - x[/tex]
Express 2x2 – 3x – 5 as the product of two binomial factors.
Answer:
(2x-5) (x+1)Step-by-step explanation:
Express 2x2 – 3x – 5 as the product of two binomial factors.
factorize the given expression
2x^2 – 3x – 5
2x^2 – 5x+2x – 5
x(2x-5)+ 1 (2x-5)
(2x-5) (x+1)
Hence the expression as the product of two binomial is (2x-5) (x+1)
Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.
Given:
The equation is
[tex]3.6y+7.5x=21600[/tex]
where, y is the number of cars and x is the number of trucks shipped.
To find:
The number of trucks that can be shipped if there are no cars.
Solution:
We have,
[tex]3.6y+7.5x=21600[/tex]
If there are no cars in the cargo ship, then y = 0 because y is the number of cars.
Putting y=0 in the given equation, we get
[tex]3.6(0)+7.5x=21600[/tex]
[tex]0+7.5x=21600[/tex]
[tex]7.5x=21600[/tex]
Divide both sides by 7.5.
[tex]x=\dfrac{21600}{7.5}[/tex]
[tex]x=2880[/tex]
x is the number of trucks shipped.
Therefore, the number of trucks that can be shipped if there are no cars is 2880.