The answer is a ≤ 30.
An inequality is a mathematical expression that compares two values or expressions using an inequality operator. In this case, the inequality would be a ≤ 30. This means that the area of the triangle must be less than or equal to 30 square inches.
This can be solved by finding the area of the triangle. To do this, we need to know the lengths of the sides of the triangle. Suppose we have sides p, q, and r. Then the area of the triangle can be found using the formula:
a = 1/2 × b × h
where q is the base of the triangle and r is the height. To ensure that the area of the triangle is no more than 30 square inches, the inequality must be satisfied. That is, 1/2 × b × h ≤ 30. This inequality can be rewritten in terms of the side lengths by substituting 1/2 × q × r for h. This gives us a ≤ 30.
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Hexagon K is a scaled copy of Hexagon J
The scale factor 5/2 takes hexagon J to hexagon K.
What is Hexagon?A hexagon or sexagon in geometry is a six-sided polygon or 6-gon that forms the shape of a cube. Any basic hexagon has 720° in total internal angles. No matter the type of hexagon, all of them have six sides. As a result, all types of hexagons—regular, asymmetrical, concave, and convex—have six sides. The hexagon, which has six sides mathematically, is particularly intriguing because it covers a plane with units of equal size and leaves no empty space. Because of its 120-degree angles, hexagonal packing also reduces a given area's perimeter.Hexagon AB, a leader in virtual reality hardware and software, was founded in 1992 and is a publicly traded, multinational information technology business with its headquarters in Stockholm, Sweden. Hexagon's B share is listed among the top firms by the Stockholm Stock Exchange.From the given two Hexagon's K and L, the Hexagon K is copy to Hexagon K.
The scale factor = the ratio of edges
Scale factor = 20/8 = 30/12 = 5/2
Hence, the scale factor 5/2 takes hexagon J to hexagon K.
Complete question:
Complete question is attached below.
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find the area of the figure below:
Answer:
60.75 m^2
Have a great day
erite an equation and solve for x if the area of the rectangle is 55 square units
___3x-1___
5|
|
A study of teenage drivers found that 63% text while driving and 30% have a car accident in their first year of driving. 21% of teenage drivers text while driving AND have a car accident in their first year.
Find the probability that a teenager gets into an accident in the first year of driving, given that he or she texts while driving. Round your answer to the nearest hundredth.
Answer:
33.33%
Step-by-step explanation:
63% of teenage drivers text while driving
21% of teenage drivers text while driving and have car accident in their first year
This means that a third of teenage drivers that text while driving get involved in a car accident during their first year, 33.33% is the probability then
please help me I don't get it
Answer:
The answer is a 2
Step-by-step explanation:
Is a 2 because the point 1 is a 2 line
Answer:
there is one side that is in the negative and then the other side is in the positive side
Step-by-step explanation:
Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator
Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20
Step-by-step explanation:
1 3/4 = 7/4
Multiply top and bottom by 5 to get 35/20
1 4/5 = 9/5
Multiply top and bottom by 4 to get 36/20
An experiment was conducted by a group of students. There were 8 times recorded. The distance traveled was 30 meters. The times were 7.48, 7.45, 7.90, 7.37, 7.25, 7.40, 7.55, and 7.60. What was the average time
The average time is 7.5. The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.
How to calculate average ?An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.
If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.
An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.
Average = Sum / Count
Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60
= 60 / 8
= 7.5
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The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. g ( x ) = 4 ( 1 4 ) x + 2 Which statement correctly compares the two functions? A. They have the same y-intercept but different end behavior. B. They have different y-intercepts and different end behavior. C. They have the same y-intercept and the same end behavior. D. They have different y-intercepts but the same end behavior.
Answer:
Without being able to see the graph, it is not possible for me to accurately compare the two functions. Is it possible for you to provide more information about the functions or the graph?
Answer:
Step-by-step explanation:
graph please
18
4 points
Damien wants to go fishing on the lake. He can rent gear for $20 and the boat will cost $12 per hour. He only has $78 to spend, so what is the maximum number of
hours (full hours) that he can afford to fish?
Answer:
4 hours
Step-by-step explanation:
Let x = hours
$78 = $20 + $12x
collect like terms
78 - 20 = 12x
58 = 12x
x = 4.8 hours
the maximum hours is 4 hours
Can u please help me with this question.
Answer:
you can use compass to make straight line
g Suppose that the retail price of a product has a normal distribution with a mean of $37 and a standard deviation of $20. Approximately, what is the probability that the price grows beyond double the mean
Retail price of the product will be double its mean will have a prbability of 0.0401.
What is Normal Distribution ?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
A probability distribution that is symmetric around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
The value of the product considering = $37*2 = $74(x)
Mean = $37
Standard Deviation (SD)= $20
here z= [tex]\frac{x - mean}{SD}[/tex] = [tex]\frac{74 - 37}{20} = \frac{37}{20} = 1.75[/tex]
P(z>1.75) = 1 - [tex]\phi(1.75)[/tex] = 1 - .9599 = 0.0401
Retail price of the product will be double its mean will have a prbability of 0.0401.
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What are the 13 types of angles?
There are several types of angles, including: acute angles, right angles, obtuse angles, straight angles, reflex angles, complementary angles, supplementary angles, adjacent angles, linear pair, vertically opposite angles, alternate interior angles, alternate exterior angles, and corresponding angles.
Acute angles: angles measuring less than 90 degrees.
Right angles: angles measuring exactly 90 degrees.
Obtuse angles: angles measuring greater than 90 degrees but less than 180 degrees.
Straight angles: angles measuring exactly 180 degrees.
Reflex angles: angles measuring greater than 180 degrees but less than 360 degrees.
Complementary angles: two angles that add up to 90 degrees.
Supplementary angles: two angles that add up to 180 degrees.
Adjacent angles: two angles that share a common vertex and a common side but no common interior points.
Linear pair: two angles that add up to 180 degrees and share a common side.
Vertically opposite angles: two angles formed by two intersecting lines that are opposite to each other.
Alternate interior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and inside the parallel lines.
Alternate exterior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and outside the parallel lines.
Corresponding angles: two angles formed by two intersecting lines that are in the same relative position.
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Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
58.3m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
please help I found this one a bit confusing
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex]. If we plug the side lengths in for a and b, we get [tex]4^2 + 6^2 = c^2[/tex]. This can be simplified to [tex]16+36=c^2[/tex], or [tex]52 = c^2[/tex]. If we root both sides, we find that c is equal to [tex]\sqrt{52}[/tex], which is slightly more than 7, at around 7.2.
help! I need this finished soon! I will give points and it’s just algebra!
Answer:
first:F
second:E
third: D
Step-by-step explanation:
Subtract.
(6х2 + 5) – (4x-3)
A. 6Х2 – 4x+2
В. 2х2 +8
Ос. 2х2 + 2
OD. 6х2 – 4х+8
Answer:
D
Step-by-step explanation:
[tex]6 {x}^{2} + 5 - 4x + 3[/tex]
simplifies down to
[tex]6 {x}^{2} - 4x + 8[/tex]
Answer:
A
Step-by-step explanation:
You cannot combine the unlike terms. The only thing you can do is combine the 5-3=2 then bring everything else down.
Whats the answer to the equation
(-7.14) + (-5.2)
The answer to the addition equation (-7.14) + (-5.2) = -12.34
What is addition?Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.
What is the answer to the given equation?Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.
(-7.14) + (-5.2) = -7.14 - 5.2
= -12. 34
So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34
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What is the volume?
Find the volume?
V≈565.49 Step-by-step explanation:
the formula for volume is PI x Raadius squared x Highth
Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION
Select the correct answer.
How many solutions does this system of equations have?
y = 12 + 1 + 3
y = -2r – 5
OA.
no solution
OB.
1 solution
O C.
2 solutions
OD. 3 solutions
Answer:
1 solution
Step-by-step explanation:
y=16, r=-21/2
This system of equations have no solution, the correct option is A.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree. A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
We are given that;
y = 12 + 1 + 3
y = -2r – 5
Now,
We can simplify the first equation by adding 12 + 1 + 3 to get y = 16. Then we can compare the coefficients of r and y in both equations.
We can see that the coefficients of r are different (-2 and 0), but the coefficients of y are the same (1 and 1).
This means that the graphs of the equations are parallel lines with different y-intercepts (16 and -5).
Therefore, the answer will be the system of equations has no solution.
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The average rate of change from hour 4 to 8
I need answers for A -F
Answer:
A. 103º
B. 96º
C. m<4 = m<10
D. m<1 = m<16
E. m<5 = m<13
F. m<14 + m<15 = 180º
(Not entirely sure for C-F... But I hope this helps!)
What is the length of leg y of the right triangle?
Answer:
4
Step-by-step explanation:
How many times smaller is 2.7 x 10^3 than 5.481 x 10^5?
Function: This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
What is function?A function is a mathematical relation between two sets of values, usually between an input and an output. It can be thought of as a machine that takes a certain input and produces a certain output.
2.7 x 10^3 is about 0.049 times smaller than 5.481 x 10^5.
To determine this, we can divide the two numbers. 5.481 x 10^5 divided by 2.7 x 10^3 equals about 201.593.
This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
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6) The area of a triangle is A = bh-2. If the base (b) is H untis and the
height (h) Is 7 units, what is the area of the triangle?
I
Answer:
The area of a triangle can be calculated using the formula A = 1/2 * b * h, where b is the base and h is the height of the triangle. In this case, if the base of the triangle is H units and the height is 7 units, the area of the triangle would be A = 1/2 * H * 7 = 3.5 * H.
Step-by-step explanation:
Figure S is reflected over the y-axis and then rotated 90 clock wise. Which sided of figure T is congruent to side 1 of figure S.
Answer:
KL
Step-by-step explanation:
Select the linear function from the following:
Select one:
a.
− 3 / x + y / 7 = 11
b.
− x / 3 + 7 / y = 11
c.
− x / 3 + y / 7 = xy
d.
− x / 3 + y / 7 = 11
The linear function in the option is − x / 3 + y / 7 = 11.
How to know linear function?A linear function is a function that represents a straight line on the coordinate plane.
Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptTherefore, let's select the linear function from the options:
− 3 / x + y / 7 = 11
-3x⁻¹ + 1 / 7 y = 11 (Not a linear function)
− x / 3 + 7 / y = 11
- 1 / 3 x + 7y⁻¹ = 11 (Not a linear function)
− x / 3 + y / 7 = xy (Not a linear function)
− x / 3 + y / 7 = 11
- 1 / 3 x + 1 / 7 y = 11 (This is the linear function)
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Can someone help me please?
Answer:
(-3, -2)
Step-by-step explanation:
Notice how the lines intersect? that exact point is the solution.
A man wants to sell his house. He priced it at $150,000 the first day. The second day he reduced the price by 12%. What was the price of the house after this reduction
Answer:
$132,000
Step-by-step explanation:
Subtract 12% from 100%: 88%. Now convert 88% into a decimal fraction: 0.88. Finally, multiply $150,000 by (0.88). Answer: $132,000
What do you get when you subtract 3xy from 5 by?
When we subtract 3xy from 5 we will get 3xy - 5.Both are different 3xy is a polynomial in xy and 5 is a constant we can not simplify further.
First, let's try to learn subtraction in the case of polynomials.
3xy is a polynomial.
5 is a constant.
Polynomials can be subtracted using a method that involves changing the signs to the opposite sign. The process resembles adding polynomials. Depending on the specific equation, we transform the sign while subtracting polynomials to either positive or negative. Learn more about subtracting polynomials, their techniques, procedures, and examples by reading on.
For instance, subtract 5x + 8y - 20z from 4x - 10y + 15z.
The polynomials should first be arranged in standard form. In this illustration, it has already been set up.
Place them horizontally in step two.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: By using parenthesis, modify the second polynomial's sign.
4x-10y-15z, and 5x+8y 20z
Step 4: Group terms that are similar together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Resolve the problem
-x - 18y + 35z
As a result, we get -x - 18y + 35z when we subtract 4x - 10y + 15z from 5x + 8y - 20z.
In the same way, if we subtract 3xy from 5 we will get 3xy - 5.
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