Hey there!
The interior angles of a triangle always have to add up to 180 degrees.
We are told that this is a right triangle, so one of the angles must be 90 degrees. This means that the measures of the other two angles must add up to 90.
90 + m<1 + m<2 = 180
If the smallest angle is 45 degrees less than the next largest angle, the only option for this would be for both of the remaining angles to be 45 degrees. The next largest angle would be the right angle, and 90 - 45 = 45.
We can't have any of the other angles be more than 90 degrees because then it wouldn't be a proper triangle.
So, the measures of the angles are going to be 90, 45, and 45.
Hope this helps!
The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )
What is right angle triangle property?In a right angle triangle, the largest angle is equal to the 90 degrees, and the some of the other two angle is equal to the 90 degrees.
Given information-
The smallest angle in a right triangle is 45° less than the measure of the larger angle.
Suppose the smallest angle of the right triangle is x degrees.
Now as the smallest angle in a right triangle is 45° less than the measure of the larger angle and the value of largest angle is 90 degrees in the right angle triangle. Thus,
[tex]x=90-45\\x=45^o[/tex]
Hence, the measurement of the smallest angle is 45 degrees.
Let the other angle of the right angle triangle is y degrees.
As the some of the all the angles of a triangle is equal the 180 degrees. Thus,
[tex]x+y+90=180\\45+y=180-90\\y=90-45\\y=45[/tex]
Thus, the measurement of the other angle is 45 degrees.
Hence, the measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )
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a human red blood cell is about 0.00000 8 in diameter. Put this number in scientific notation.
Answer:
[tex]\large\boxed{0.000008=8\cdot10^{-6}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot10^k[/tex]
where 1 ≤ a < 10 and k ∈ Z.
0.000008
You must move the comma 6 places to the right.
[tex]0\underbrace{.000008}_{6\rightarrow}=8\cdot10^{-6}[/tex]
[tex]0.000008=\dfrac{8}{1,000,000}=8\cdot10^{-6}[/tex]
To express the diameter of a human red blood cell in scientific notation, we can write it as 8.0 × 10^-6 meters.
Explanation:The diameter of a human red blood cell is approximately 0.000008 meters. To express this number in scientific notation, we can use the concept of significant figures. In this case, the leading zeros are not significant, so we can write the number as 8.0 × 10-6 meters. This scientific notation represents the size of a human red blood cell.
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Find the center of the circle whose equation is 3x² + 3y² = 75.
Center (0,0)
radius - 5
Hope this help
Which inequality best represents the graph?
a. y<1/2x-1
b. y≤2x-1
c. y<2x-1
d. y≤1/2x-1
Answer:
Last option
y ≤ 1/2 x - 1
Step-by-step explanation:
The graph is linear inequality. Since the graph is a solid line so the inequality symbol is either ≥ or ≤.
The colored grey is shaded below the line, so the symbol is ≤.
So either y≤1/2x-1 or y≤2x-1
Now we have to find the slope to see which equation is the right one.
(2,0) and (0,-1)
Slope = (0 + 1) /(2-0) = 1/2 and b = y intercept = -1
So equation:
y ≤ 1/2 x - 1
The correct inequality that represents the graph is y≤2x-1.
Explanation:In this question, we are asked to determine which inequality best represents the graph. From the given options, the correct choice is b. y≤2x-1. This choice represents a graph where y is less than or equal to 2x minus 1. To verify this, we can examine some points on the graph.
For example, let's test the point (0,0). Substituting these values into the inequality, we get 0 ≤ 2(0) - 1, which simplifies to 0 ≤ -1. Since this statement is true, the point (0,0) lies on the graph. Similarly, we can test other points to confirm that the inequality correctly represents the graph.
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Which statement describes the value of the expression 15*(8+45)?
795
first u multiple the 15 with 8 & 45 then u add
BRAINLIEST ANSWER: Two workers finished a job in 7.5 days. How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?
Answer:
first we must times 7.5 into 8 to find out what the answer is,
the answer is 60
SOMEONE PLEASE HELP ME!!!!!!!!!!!!1
The correct equation is . n + 45.60 - 15.75. Option C is correct.
Let n represent William's balance before writing the check (unknown).
He wrote a check for $45.60, so this amount needs to be subtracted from his original balance.
After writing the check, his balance became -$15.75. Since a negative balance indicates he owes money, we can represent this with -15.75.
To find his original balance (n), we need to add the amount he subtracted (check amount) and then consider the ending balance.
Therefore, the equation that accurately represents the situation is:
n (original balance) + $45.60 (check amount) - $15.75 (ending balance) = n + 45.60 - 15.75
complete question:
On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to -$15.75. Suppose n represents William's balance before he wrote the check.
Which equation can be used to represent this situation?
A. n-15.75-45.60
B. п-15.7545.60
C. n+45.60 -15.75
D. n-45.60-15.75
What is the value of X?
Answer:
x = 11
Step-by-step explanation:
Since they are vertical angles, the angles are equal. Set them equal and solve for x.
5x + 10 = 7x - 12 Subtract 5x from both sides
10 = 2x - 12 Add 12 to both sides
22 = 2x Divide by 2
11 = x
Determine the length of arc JL.
A)
59
12
π
B)
5
6
π
C)
13
12
π
D)
13
6
π
Answer:
c
Step-by-step explanation:
The solution is
13
12
π. To calculate the arc length use the following formula:
Arc Length=
m(ARC)
360
· 2πr
Fay is buying a new washing machine which is on sale for $1479 she can either pay the entire amount at the time of purchase or make a down payment $250 and make monthly payments of $125 for one year how much more will it cost her to choose the payment plan then to pay the full sale price?
Answer:$271
Step-by-step explanation:
$125x12= 1500+250=1750
1750-1479=271
help me please asap!!!!!!!!!!!
Answer:
[tex]4q^2 + 12q + 9[/tex]
Step-by-step explanation:
To simplify the expression, use the distributive property to write the expanded form of the quadratic.
[tex](2q+3)^2\\(2q+3)(2q+3)\\4q^2 + 6q + 6q + 9\\4q^2 + 12q +9[/tex]
A pizza places for drivers to deliver their pizzas. The average mileage for each car is between 21 and 24 miles per gallon. Each driver travels between 79 miles and 89 miles a day. The pizza shop estimates that they will need about 10 gallons of fuel a day for all the vehicles. Is this a reasonable estimate?
A: No, the estimate should be higher.
B: Yes, the estimate is reasonable.
C: No, the estimate should be lower.
I believe the estimate should be higher
Answer:
A. No, the estimate should be higher.
Step-by-step explanation:
Calculate the circumference of the following circles correct to one decimal place
Answer:
C= 2π*4
C= 4*2= 8*3.14
C= 25.12
Step-by-step explanation:
18 + n + 14 = -18 − 9n
4. The MAD of a set of six data values is 10. The mean is 20. What could the data values be? Show that the mean is 20 and the MAD is 20.
5. Five students scored 80 on a test, five students scored 85. and five students scored 90. Finish the statements below.
A. The mean is ...
A. The Median is...
A. The range is...
A. The MAD is..
6. In a survey, 10 students and 10 teachers were asked how many hours of sleep they get each night. Here are the results.
Students: 7,6,8,9,8,9,10,10,10
Teachers: 6,6,4,5,7,8,7,8,8,8,
What is the mean of each data set? What do the means tell you about each data set?
1.MAD Calculation: A possible set of data values that yield a mean of 20 and a MAD of 10 is: 10, 20, 20, 20, 30, 40.
2. Five Students' Test Scores: Mean = 85, Median = 85, Range = 10, MAD ≈ 3.33.
3. Survey Data: Students' mean sleep = 7.7 hours; Teachers' mean sleep = 6.7 hours.
let's go through each question step by step:
1. MAD Calculation:
The Mean Absolute Deviation (MAD) is the average of the absolute deviations from the mean of a dataset. Given that the MAD of the set of six data values is 10 and the mean is 20, we need to find the data values that satisfy these conditions.
Let's denote the data values as (x_1, x_2, x_3, x_4, x_5, x_6).
The mean is given as:
[tex]\[ \text{Mean} = \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6}{6} = 20 \][/tex]
Multiplying both sides by 6 gives us:
[tex]\[ x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 120 \][/tex]
Now, we need to find a set of values that satisfy this equation and also have a Mean Absolute Deviation of 10.
The Mean Absolute Deviation (MAD) formula is:
[tex]\[ \text{MAD} = \frac{|x_1 - \text{Mean}| + |x_2 - \text{Mean}| + |x_3 - \text{Mean}| + |x_4 - \text{Mean}| + |x_5 - \text{Mean}| + |x_6 - \text{Mean}|}{6} \][/tex]
Given MAD = 10, and Mean = 20, we have:
[tex]\[ 10 = \frac{|x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20|}{6} \][/tex]
Multiplying both sides by 6, we get:
[tex]\[ 60 = |x_1 - 20| + |x_2 - 20| + |x_3 - 20| + |x_4 - 20| + |x_5 - 20| + |x_6 - 20| \][/tex]
Now, we need to find a set of six values that satisfy both equations.
There are multiple possible sets of values that satisfy these equations. One such set could be:
[tex]\[ x_1 = 10, \ x_2 = 20, \ x_3 = 20, \ x_4 = 20, \ x_5 = 30, \ x_6 = 40 \][/tex]
You can verify that these values satisfy both the mean and the MAD conditions.
2. Five Students' Test Scores:
Given:
- Five students scored 80 on a test,
- Five students scored 85, and
- Five students scored 90.
A. The mean:
[tex]\[ \text{Mean} = \frac{(5 \times 80) + (5 \times 85) + (5 \times 90)}{15} = \frac{400 + 425 + 450}{15} = \frac{1275}{15} = 85 \][/tex]
B. The Median:
Since there are an odd number of data points (15), the median will be the 8th value when the data is arranged in ascending order. Since each score (80, 85, 90) appears 5 times, the median is 85.
C. The Range:
The range is the difference between the highest and lowest values:
[tex]\[ \text{Range} = 90 - 80 = 10 \][/tex]
D. The MAD:
To find the MAD, we first calculate the deviations from the mean for each data point, take their absolute values, and then find their mean.
[tex]\[ \text{MAD} = \frac{|80 - 85| + |80 - 85| + \ldots + |90 - 85|}{15} \][/tex]
[tex]\[ = \frac{5|80 - 85| + 5|85 - 85| + 5|90 - 85|}{15} \][/tex]
[tex]\[ = \frac{5(5) + 5(0) + 5(5)}{15} = \frac{50}{15} \approx 3.33 \][/tex]
3. Survey Data:
Given:
Students: 7, 6, 8, 9, 8, 9, 10, 10, 10
Teachers: 6, 6, 4, 5, 7, 8, 7, 8, 8, 8
A. Mean of students' data set:
[tex]\[ \text{Mean} = \frac{7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10}{10} = \frac{77}{10} = 7.7 \][/tex]
B. Mean of teachers' data set:
[tex]\[ \text{Mean} = \frac{6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8}{10} = \frac{67}{10} = 6.7 \][/tex]
The means tell us that, on average, students get slightly more sleep per night compared to teachers.
solve the quadtdd atic function (x + 1)2 = 16
Answer:
x = 15 or x = -17
Step-by-step explanation:
It is given that,
(x + 1)² = 16
To solve the quadratic equation
The give equation is
(x + 1)² = 16 ----(1)
From equation (1) we can see that it is a quadratic equation
So we can take square root fro both sides we get
√[(x + 1)²] =√16
x + 1 = ±16
x + 1 = 16 or x + 1 = -16
x = 16 - 1 = 15 or x = -16 - 1 = -17
Therefore x = 15 or x = -17
Cathy saves 4/5 of the money she earns from her part time job. How much does she saves when she earns 140
I believe that the answer is $175
Answer:
$112
Step-by-step explanation:
140 divided by 5 is 28, which means 1/5 of 140 is 28. You take that 28 times 4 to get 4/5 of 140 which comes out to be 112. Brainliest please!
What is the simplified expression for –3cd – d(2c – 4) – 4d?
Answer:
[tex]\boxed{\bold{-5cd}}[/tex]
Step By Step Explanation:
[ Step One ] Expand [tex]\bold{-d\left(2c-4\right)}[/tex]
[tex]\bold{-2cd+4d}[/tex]
[ Step Two ] Rewrite Equation
[tex]\bold{-3cd-2cd+4d-4d}[/tex]
[ Step Three ] Simplify [tex]\bold{-3cd-2cd+4d-4d}[/tex]
[tex]\bold{-5cd}[/tex]
Answer:
The Answer is -5CD when simplified
Step-by-step explanation:
1) Distributive property
-3cd - d ( 2c - 4 ) - 4d
Turns to: 3cd -2cd + 4d - 4d Multiplying to negative give you a positive.
2) combine like terms
-3cd - 2cd = -5cd
4d - 4d = 0
3) Answer
-5cd is your answer
Hopes this helps!
A line joins the point
is the point of intersection of 5x - 2y + 3 = 0 and 4x - 3y + 1 = 0 to
of intersection of x = y and x = 3y + 4.find the equation of the line.
Intersection of the first two lines:
[tex]\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}[/tex]
Multiply the first equation by 4 and the second by 5:
[tex]\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}[/tex]
Subtract the two equations:
[tex](20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1[/tex]
Plug this value for y in one of the equation, for example the first:
[tex]5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1[/tex]
So, the first point of intersection is [tex](-1,-1)[/tex]
We can find the intersection of the other two lines in the same way: we start with
[tex]\begin{cases}x=y\\x=3y+4\end{cases}[/tex]
Use the fact that x and y are the same to rewrite the second equation as
[tex]x=3x+4 \iff 2x=-4 \iff x=-2[/tex]
And since x and y are the same, the second point is [tex](-2, -2)[/tex]
So, we're looking for a line passing through [tex](-1,-1)[/tex] and [tex](-2, -2)[/tex]. We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be [tex]y=x[/tex]
In the attached figure, line [tex]5x - 2y + 3 = 0[/tex] is light green, line [tex]4x - 3y + 1 = 0[/tex] is dark green, and their intersection is point A.
Simiarly, line [tex]x=y[/tex] is red, line [tex]x = 3y + 4[/tex] is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
To answer the student’s question, solve for points of intersection of given pairs of equations, use these points to calculate the slope, and then apply the point-slope or two-point form to determine the equation of the line.
Explanation:To find the equation of a line that passes through the points of intersection of two sets of equations, we first need to determine the coordinates of these intersection points. We have two given sets of equations: 5x - 2y + 3 = 0 and 4x - 3y + 1 = 0, as well as x = y and x = 3y + 4. To solve for the intersection points, we can use substitution or elimination method for the pairs of equations separately.
Once we have found the two points of intersection, we use these points to determine the slope of the line (using the slope formula ∆y /∆x). After that, we apply the point-slope form or the two-point form of the equation of a line to find the equation that contains both points. The final step would be to simplify the equation to its standard form.
However, the question seems to include extraneous information, as the equation provided for a specific line, y = 9 + 3x, does not directly pertain to the given task of determining the equation of the line through the points of intersection. It does illustrate that a line's equation can be represented in the form y = mx + b, where m represents the slope, and b represents the y-intercept.
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Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x? Enter your answer in the box.
Step-by-step explanation:
Complementary means the total is 90 degrees.
So 90=x+3x+10
90=4x+10
80=4x
x=20 degrees
Answer:
x=20 degrees
hope this helped! :)
PLEASE HELP ME!!
Micah rolled a number cube 30 times, and displayed her results in the table below.
N F Number Frequency
1 7
2 3
3 6
4 5
5 4
6 5
Which numbers appeared LESS that the theoretical probability? ( there ie more than one answer)
¤ 1
¤ 2
¤ 3
¤ 4
¤ 5
¤ 6
Answer:
2,5 appeared LESS
Step-by-step explanation:
the theoretical probability in this case would be 5 because Micah rolled the number cube 30 times and there is 6 total outcomes of the number cube.
To figure out the theoretical probability:
30 divided by 6
= 5
So every number that appeared less than 5 is your answer
I believe the answer is 2,5
what is six times six take away for plus nine
Hello, thanks for using Brainly!
We are solving 6x6-4+9.
We will do three steps in this case.
First is 6x6, 6x6 is 30.
So now we must keep in our head we have 30 as our first number.
Now, let's -4 from 30. 30-4 is 26.
We just did step 2. Boom!
So, we have 26 as our second number. Let's do our third step.
If we have 26, we need to add 9 to that. To quickly find that we know that 26+10 is 36. That is adding ten, we need 9 so minus 1 from 36 we get 35.
Our final answer is 35.
3/8 c−2= 3/2 c−12 solve for c
To solve the equation 3/8c -2 = 3/2c -12 for c, first clear the fractions by multiplying the entire equation by 8. Then, use algebraic operations to isolate and solve for c, yielding the solution c = 80/9 or about 8.89.
Explanation:The given algebraic equation is 3/8 c−2= 3/2 c−12. Our goal is to solve for c. Here's how:
First, let's multiply the whole equation by 8 to clear out the fractions: 8*(3/8c-2) = 8*(3/2c -12) which simplifies to 3c - 16 = 12c - 96. Next, subtract 3c from both sides of the equation to collect all the terms with c on one side: -16 = 9c - 96. Now, add 96 to both sides to isolate the c term: 80 = 9c. Finally, divide both sides by 9 to solve for c: c = 80/9 or approximately 8.89.
So, the solution to the equation 3/8c - 2 = 3/2c -12 is c = 80/9 or about 8.89.
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To solve the equation:3/8 c−2= 3/2 c−1. We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.
After simplifying,80/9.
Let's solve the equation:3/8 c−2= 3/2 c−1.
We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.
Steps to solve:
1. Combine multiplied terms into a single fraction:
3/8 c−2= 3/2 c−12
2. Find common denominator:
3/8 c + (8/8) −2= 3/2 c−12
3. Combine multiplied terms into a single fraction:
3/8 c + (8 *(−2) /8) −2= 3/2 c−12
4. Combine fractions with common denominator:
(3c + 8 *(−2) /8) = 3/2 c−12
5. Multiply the numbers:
(3c -16) /8) = 3/2 c−12
6.Combine multiplied terms into a single fraction:
(3c -16) /8) = 3/2 c−12
7. Find common denominator:
(3c -16) /8) = 3/2 c +(2/2) (-12)
8.Combine multiplied terms into a single fraction:
(3c -16) /8) = 3/2 c +(2*-12)/2
9.Multiply the numbers:
(3c -16) /8) =(3c -24) /2)
10. Eliminate fraction denominators:
8*(3c -16) /8) = 8*(3c -24) /2)
11. Cancel multiplied terms that are in the denominator:
3c−16=4(3c−24)
12. Distribute:
3c−16=12c−96
13. Add/subtract to both sides:
3c−16+16=12c−96+16
14. Simplify:
3c=12c−80
15. Add/subtract to both sides:
3c−12c=12c−80−12c
16. Simplify:
−9c=−80
17.Divide both sides of the equation by the same factor:
−9c/-9=−80/-9
18.Simplify:
c=80/9.
the volume of a cone with a height of 10 meters is 20 pi cubic meters. what is the diameter of the cone?
To find the diameter of a cone with a given volume and height, use the volume formula, substitute the given values, and solve for the radius. The calculated diameter of this cone is approximately 4.90 meters.
Explanation:To find the diameter of a cone given its volume and height, we can use the formula for the volume of a cone: V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the volume (V) is 20π cubic meters and the height (h) is 10 meters, we can substitute these values into the formula and solve for r.
First, rearrange the formula to solve for r: r = √((3V)/(π×h)). Substitute V = 20π and h = 10 into the equation to get r = √((3×20π)/(π×10)) = √(6) meters. Therefore, the diameter of the cone, which is twice the radius, is 2×√(6) meters, or approximately 4.90 meters.
The diameter of the cone is [tex]\[ d = 4\sqrt{3} \][/tex]
To find the diameter of the cone, we first need to determine the radius of the cone's base. The volume V of a cone can be calculated using the formula:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where r is the radius of the base and h is the height of the cone. Given that the volume V is [tex]\(20\pi\)[/tex] cubic meters and the height [tex]\(h\) is \(10\)[/tex] meters, we can set up the equation:
[tex]\[ 20\pi = \frac{1}{3} \pi r^2 \cdot 10 \][/tex]
[tex]\[ 60 = r^2 \cdot 10 \] \[ \frac{60}{10} = r^2 \] \[ r^2 = 6 \][/tex]
Taking the square root of both sides gives us the radius r:
[tex]\[ r = \sqrt{6} \][/tex]
Since the radius is half the diameter, we can find the diameter d by multiplying the radius by 2:
[tex]\[ d = 2r \] \[ d = 2\sqrt{6} \] \[ \sqrt{6} = \sqrt{2 \cdot 3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} \] \[ \sqrt{6} = \sqrt{2} \cdot \sqrt{3} = 2\sqrt{3} \][/tex]
Thus, the diameter d of the cone is:
[tex]\[ d = 2 \cdot 2\sqrt{3} \][/tex]
[tex]\[ d = 4\sqrt{3} \][/tex]
Hello! I would appreciate the help, and please write step by step solutions. Will mark brainliest. Thanks!
Answer:
15. 31.42 cm^2
16. 25.73 m^2
17. Fly A
Step-by-step explanation:
15.
The blue shaded region is a sector of a circle. The formula for area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where [tex]\theta[/tex] is the central angle and r is the radius
For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = 100°. this is [tex]\theta[/tex] and the radius is 6.
Plugging in it in the formula we get:
Area of shaded region = [tex]\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42[/tex] cm^2
16.
We can say that area of shaded region = area of parallelogram - area of circle
Now,
Area of Parallelogram = b * h
where
b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)
Area of Parallelogram = 9 * 6 = 54
Area of Circle = πr^2 where r is the radius, which is 6/2=3
Area of Circle = π(3)^2 = 9π
Now,
Area of Shaded Region = 54 - 9π = 25.73 m^2
17.
For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)
And area of whole ruler would be 8*h = 8h
So probability of landing in yellow region would be [tex]\frac{4h}{8h}=\frac{1}{2}=0.5[/tex]
For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)
Area of whole circle is π(4)^2 = 16π
So probability of landing in yellow region would be [tex]\frac{4\pi}{16\pi}=\frac{1}{4}=0.25[/tex]
Hence, Fly A is more likely to land in a yellow region.
On a map, 1 inch equals 25 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities? (In miles)
Answer:
200 miles
Step-by-step explanation:
8x25=200
The actual distance will be 200 miles
Step-by-step explanation:The question states that
1 inch = 25 milesThe distance between two cities is 8 inches
Actual distance would be
8 * 25 = 200
So the actual distance would be 200 miles
The function f(x)=3g(x). Which of the following shows possible graphs of f(x) and g(x)?
Answer:
The answer is the first graph in the second raw
Step-by-step explanation:
* Lets study the dilation:
- A vertical stretching is the stretching of the graph away
from the x-axis
- A vertical compression is the squeezing of the graph
toward the x-axis.
- if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically
stretched by multiplying each y-coordinates by k.
- if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed
by multiplying each y-coordinates by k.
* Notice that the "roots" on the graph stay in their same
positions on the x-axis.
* Lets check our question:
∵ f(x) = 3g(x)
∵ f(x) = k.g(x)
∴ It is a vertical stretching or vertical compression
∵ k = 3 > 1
∴ It is vertical stretching with scale factor = 3
* That means we will multiply each y-coordinates in g(x) by 3
∴ The graph of f(x) will be away from x- axis and narrow to y- axis
∴ The answer is the first graph the second raw
Example: If g(x) = x²
∴ f(x) = 3x²
* Look to the graph:
- The red is the graph of g(x)
- The blue is the graph of f(x)
- f(x) = 3g(x)
Answer: the answer is b
Step-by-step explanation:i did the test yourself on algebra nation
a scale on a map shows that 2 inches =25 miles part A how many inches on the map represents 60 miles part B how many miles are represented by 1 over 4 inch on the map
Answer:
Answer: part a is 4.8 and part b is 3.125
Step-by-step explanation:
PART A. 60/25 = 2.4 (inches)
PART B. 25/4 = 6.26 (miles)
Hope this helps! Please mark me as brainliest if it did.
Choose all the factors of 12. (Check all that apply-)
Answer:
1,2,3,4,6,12
Step-by-step explanation:
all the number which can divide 12 is factor of 12. so 1,2,3,4,6,12
Which expression is the simplest form of (x^-5/6)^6?
Answer:
Step-by-step explanation:
sistemul digestiv
Answer x^-5
Step-by-step explanation: since (- 5/6)*6=-5
The answer is x^-5
use the subtraction method to solve the system of equations 5x+2y=1 y=-x+2
A(-1,3)
b(-2,4)
c(-3,5)
d(-3,8)
The correct choice is A(-1,3)
Step-by-step explanation:See the attached figure