The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.
what is triangle ?
A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.
given
Given, side length, a = 12 units.
the height of equilateral triangle, h = (a√3)/2.
Substituting the value of 'a',
h = (12√3)/2 = 6√3 =
10.39 units.
The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.
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Can u sovle 32^3/5 for me please
Answer:
6553.6
Step-by-step explanation:
32^3 = 32 x 32 x 32 = 32768
32768 / 5 = 6553.6
Answer:
6,553.6
Step-by-step explanation:
32^3/5=6,553.6
Hope this helped!!
Bella was here :)
Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
what is solution ?a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.
given
y = 3x + 1
y = 3x + 1
The two equations are independent and consistent since they cross at a single precise location.
y = 3x + 1
y = x + 3
The two equations are independent and consistent since they cross at a single precise location.
y = x + 3
These two equations are incompatible because they do not intersect.
y = x + 3
To identify which line it is, rearrange the first equation into slope-intercept form.
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
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What decimal is equivalent to - 3 1/8?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Decide if the following biconditional statement
is true or false:
An angle is a right angle if and only if the angle
measures 90 degrees.
True
False
Pls help
Solve by substitution.
6x +Зу = 15
x – 2y = 10
Answer:
y=5 , x= 20
Step-by-step explanation:
6x + 3y = 15
x - 2y = 10
make x subject of the formula in equation two
therefore x = 10 - 2y
substitute the value of x in equation one
6 ( 10 - 2y) + 3y = 15
60 - 12y + 3y = 15
-9y = -45
y = 5 and x = 20
Answer:
{x,y} = {4,-9}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = -6x + 15
// Plug this in for variable y in equation [2]
[2] -7x - 2•(-6x+15) = -10
[2] 5x = 20
// Solve equation [2] for the variable x
[2] 5x = 20
[2] x = 4
// By now we know this much :
x = 4
y = -6x+15
// Use the x value to solve for y
y = -6(4)+15 = -9
Solution :
{x,y} = {4,-9}
The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?
What ordered pair is a solution to 5x -6y = -4
A. (3,-3)
B. (3,3)
C. (4,4)
Answer:
(4,4)
Step-by-step explanation:
5(4)-6(4)=-4
20-24=-4
-4=-4
Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).
Answer
x ≥ 40
Step-by-step explanation:
Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.
Amanda increased the amount of protein she eats every day from 50 g to 54 g. By what percentage did Amanda increase the amount of protein she eats?
Answer:Amanda increased the amount of protein she eats by 8%
step-by-step explanation:
Initial amount of protein consumed == 50g
Increase in the amount of protein consumed the next day=54 g-50 g =4g
Percentage increase in the amount of protein she eats as the day goes by = Increase/ initial amount consumed x 100
=4/ 50 x 100
=8%
Hello. Need some help: (put all answers into one comment)
1. If you add 5 to me and then divide by 9, you get 3. what number am I?
2. Equation: 21 ÷ 7 = 3. Write a related multiplication sentence.
3. During Their football season, the Kickerton Kangaroos had a combined total of 16 fumbles. each of the 8 players had the same amount of fumbles. how many fumbles did each player have?
4. If you multiply me by 7, then subtract 2, and then divide by 6, you get 9. what number am I?
Answer:
1. 22
2. 7*3=21
3. 2
4. 8
Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)
1. Using algebra I put the missing variable as x.
"add 5 to me" is x+5.
"divide by 9, you get 3"
[tex]\frac{x+5}{9}[/tex] = 3
Begin solving by multiplying 9 to the 3 on the other side
x+5 = 27
Subtract 5 to get x by itself
x = 22
2. An equivalent multiplication sentence can be found using algebra.
21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]
Using algebra we know if we multiply 7 onto both sides we end up with
7*3=21
3.
Combined total of 16 fumbles
8 players
Same amount of fumbles
How many fumbles per player?
I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.
4. Algebra
[tex]\frac{x * 7 - 2}{6} =9[/tex]
First is multiplication: x*7 = 7x
[tex]\frac{7x - 2}{6} =9[/tex]
Then division: Multiply the 6 over because we don't like fractions
[tex]{7x - 2} = 54[/tex]
Next we add the 2 over
[tex]{7x } = 56[/tex]
Then divide by 7 to solve for x
x=8
What is the solution to the system of equations 3x 2y 7 and Y 3x 11?
The solution of the given system of equations is x = -7/3 and y = 7.
The given system of equations is given as,
3x + 2y = 7
y = 3x + 11
To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.
3x + 2y = 7
y = 3x + 11
⇒ 3x + 2y - y = 7 - 11
⇒ 3x + 2y - 3x - 11 = -4
⇒ 2y - 11 = -4
⇒ 2y = -4 + 11
⇒ 2y = 7
Now, substitute the value of y in the first equation to find the value of x.
3x + 2(7) = 7
⇒ 3x + 14 = 7
⇒ 3x = 7 - 14
⇒ 3x = -7
⇒ x = -7/3
Therefore, the solution of the given system of equations is x = -7/3 and y = 7.
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PLS HELP ME
Step-by-step explanation:
I'm not sure what has infinite x-intercepts
Clare Lee is paid a basic wage of $8.00per hour for a 4O-hour week and $9.60 per hour for overtime work. Last week Clare worked 48 hours. What was her total wage for the week
Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.
Answer: 105
Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!
The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?
Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
What is the area of circle?
The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.
Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2
By substituting π = 22/7 we get:
154 = (22/7)r^2
Solving for r, we get:
r = sqrt(154*7/22)
The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
By substituting the value of r we got before, we get:
C = 2πr = 2*(22/7)sqrt(1547/22)
To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:
C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches
Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
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The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3
Answer:
A
Step-by-step explanation:
Why do chairs have legs?
Answer:
cuz they are chairs
Step-by-step explanation:
Answer:
Chairs have legs so we would not fall.
Step-by-step explanation:
Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?
Answer:
425-(425×0.2)
425-85
340
Answer:
340 baseball cards
Step-by-step explanation:
You sold 20% of 420, therefore,
425 - 20% * 425 = 340
You have 340 baseball cards left.
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Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?
Answer:
english?
Step-by-step explanation:
can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Answer:10
Step-by-step explanation:
got the same question
Which statement best describes the function?
A. The function is negative when x<0
B.the function is negative when x<0 and when x>0
C. The function is never negative
D. The function is negative when x>0
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
What is function?Each x value in the domain has one but only one y value
range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.
Here,
It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.
The graph is positive if it is located above the x-axis.
A negative graph is one that is located below the x-axis.
The graph of the function in this issue is shown by the red line, and:
The function is negative for x values less than 0 since it is below the x-axis.
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
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subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)
Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]
Step-by-step explanation:
Given
Subtract the expression
[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]
Graph the image of square KLMN after a translation 6 units left and 4 units up.
The coordinates of the image of the square KLMN are:
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
The graph of the image is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the square KLMN are:
K = (6, -5)
L = (8, -5)
M = (8, -3)
N = (6, -3)
Now,
Translation of 6 units left and 4 units up.
This means,
K = (6 - 6, -5 + 4) = (0, -1)
L = (8 - 6, -5 + 4) = (2, -1)
M = (8 - 6, -3 + 4) = (2, 1)
N = (6 - 6, -3 + 4) = (0, 1)
Thus,
The image of the square KLMN will be on the following coordinates.
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
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Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand
Answer:
[tex]x \approx 729[/tex]
Step-by-step explanation:
Given
Let the number be x
So:
[tex]x + 10\sqrt x = 1000[/tex]
Required
Using trial and improvement, find x
This implies that we keep guessing the values of x until we get a value that match the equation.
Let
[tex]x = 625[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]625 + 10 *\sqrt{625}[/tex]
Take the square root of 625
[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]
[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]
[tex]625 + 10 *\sqrt{625} = 875[/tex]
Let
[tex]x = 729[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]729 + 10 * \sqrt{729}[/tex]
Take the square root of 729
[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]
[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]
[tex]729 + 10 * \sqrt{729} = 999[/tex]
At this point, we can conclude that x is approximately 729 because
[tex]999 \approx 1000[/tex]
So:
[tex]x \approx 729[/tex]
The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?
Answer:
y = 4.75x + 4
Step-by-step explanation:
it would be $4.75 for each game and you would only pay for shows once
The equation that represents the amount, in dollars, y,
for x games bowled is y = 4.00 + 4.75x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.
y = 4.00 + 4.75x
This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).
The result is the total cost, represented by y
Therefore,
The total cost for x games bowled can be represented by the equation:
y = 4.00 + 4.75x
where y is the total cost in dollars, and x is the number of games bowled.
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2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.
Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
For the percentage of people who prefer other newspapers are:
100% - 50% - 30% = 20%
So, 20% of the people in Salmiya prefer other newspapers.
Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):
Arab Times: 50% * 50000 = 25000 people
Wataniya: 30% * 50000 = 15000 people
Other newspapers: 20% * 50000 = 10000 people
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For the function Y= X +4 what is the output value if three is the input value
Answer: 7
Step-by-step explanation:
1. You need to know that the input value means the x-value, which means x = 3.
2. Input 3 in the function
3. Solve 3+4
4. 3+4 = 7
Answer:
put y=4 then four comes with- and 4-3=2
please help! you will get brainliest
Answer:
the answer is 1.33333333333
At the book sale, all books cost less than $5. What is the most expensive a book could be? Write an inequality to represent the costs of books at the sale.
Answer:
x<5
Step-by-step explanation:
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All book are LESS THAN 5 dollars. Therefore all prices (x) have to be less that 5 hence x<5
Answer:
The most expensive a book could be is $4.99
The inequality to represent the costs of books at the sale is c < 5
Find the measure of the indicated angle to the nearest degree.
Answer:
? ≈ 20°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then
? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )