Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
help me please asap!!!!!
Answer:
x=10
Step-by-step explanation:
In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.
[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]
[tex]49+\frac{1}{2} x^{2} =74[/tex]
[tex]\frac{1}{2} x^{2} =25[/tex]
[tex]\frac{1}{2} x=5[/tex]
[tex]x=10[/tex]
This ends in x equaling 10. I hope this helps you!
The ratio of adults to children at an amusement park is 3 to 5. If there are 225 children, how many adults are at the amusement park?
A. 360
B. 45
C. 135
D. 75
Answer:
C
Step-by-step explanation:
Answer:
C 135.
Step-by-step explanation:
For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225 * 3/5
= 45 * 3
= 135 adults.
What is the area of parallelogram ABCD?
А
B
4
3
2
16 square units
20 square units
24 square units
25 square units
1
-5 -4 -3 -2 -1,D1 2
3 4 5C
-2
-3
Answer:
20 square units
Step-by-step explanation:
Given,
CD is the base and BD is the height of the given parallelogram.
The attachment of the parallelogram has been attached.
base = CD
length of base CD = 5 - 1 = 4
∴ base= 4 units
height = BD
length of height BD = 5
∴ height = 5 units
Area of parallelogram = base × height
∴ Area = 4 × 5 = 20 square units
Answer:
20
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
I am guessing that's it.
Answer:
A
Step-by-step explanation:
2m + 7
twice a number (m) increased by 7
or
7 more then twice a number (m)
The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.
A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards
Answer:
C. Length = 15 yards; width = 9 yards
Step-by-step explanation:
When you multiply the length and width by two and add them together, this answer is the only one that results in 48.
if cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer:
40 cm
Step-by-step explanation:
In the right triangle PNO:
∠N = 90°PO = 100cm (the hypotenuse of the triangle)∠P = 23°∠O = 90° - 23° = 67°side NO is adjacent to ∠OBy definition:
cos(β) = adjacent/hypotenuse
Replacing with data and solving for NO:
cos(∠O) = NO/PO
2/5 = NO/100
NO = (2/5)*100
NO = 40
HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)
1. A: 2
2. C: 225
3. C: pi/4
4. A: -465
5. C: 0
6. B: 210
7. B: 2pi
8. A: 52
9. C: 40
10. C: 3rd graph
11. A: y=sin pi/265
12. B: 1/4pi
13. D: y=3cos2
14. A: sqrt3/3
15. C: 0
16. C: 3rd graph
17. A: 187
18. C: sqrt2/2
19. B: 1+sin theta
20. D: 45
21. D: 0.64
22. A:80
23. C: pi/2, 5pi/4, 3pi/2, 7pi/4
24. C: csc theta =13/12, sec theta= 13/5
hope this helps someone :)))
Use the graphing calculator to graph the function f(x) = –StartRoot x EndRoot. Which list contains three points that lie on the graph of the function? (–9, 3), (–4, 2), (–1,1) (1,1), (4, 2), (9, 3) (–9, –3), (–4, –2), (–1,–1) (1,–1), (4, –2), (9, –3)
Answer:
(1,–1), (4, –2), (9, –3)
Step-by-step explanation:
In the picture attached, the plot of the function f(x) = -√x is shown.
To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
To know more about graphs follow
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The LA Taxi Co. fare in Los Angeles is $3.20 for the first 12mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother’s house. How much will your total fare be, including tip?
Answer:
Your total fare including tip is $20.2
Step-by-step explanation:
Cost for first 0.5 mile = $ 3.20
Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.
It is 6.5 miles to your grandmother’s house.
So, remaining distance = 6.5-0.5=6 miles
Cost for 0.1 mile = $0.25
Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]
Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]
You plan to give the driver a $2.00 tip.
So, Total cost = $2+$3.2+$15=$20.2
Hence your total fare including tip is $20.2
A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)
none of these
260.9 revolutions
8.8 revolutions
1261.3 revolutions
Answer:
1261.3 rev
Step-by-step explanation:
Circumference of tire: 3.14(4/3)
4.187 ft.
5280/4.187
1261.3
Please do 1,2,3 for 10 points
Answers:
-218-2please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
1. -2
2. 18
3. -2
Step-by-step explanation:
In the following explanations "x" is a variable which represents "a number" given in the problems.
1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.
2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.
3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.
If you take one thing away from this, let it be the following:
The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.
If you're struggling on these problems, this might help.
The way this works is simple, lets say you have this equation:
x + 5 = 10
The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:
x + 5 = 10
- 5 -5
Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.
So:
x + 5 = 10
- 5 -5
x + 0 = 5 <- this is what you want.
x = 5
Hope this helps, and hope you learned more from this then an hour and a half at school :P
Determine if the sequence -184, -207, -230, -253,... is arithmetic or geometric. Then identify the next term in
the sequence.
a arithmetic; -23
b. arithmetic; -276
c. geometric; -23
d. geometric; -276
Answer:
a arithmetic; -23
Step-by-step explanation:
this is not geometric sequence as we don't see multiplication effect in the terms
let's see what is the difference in terms
-207- (-184)= -23
-230- (-207)= -23
-253- (-230)= -23
we can state it is an AP with common difference of -23
option a. is correct
This mapping represents a function named f .
Which of the chices also represents the function, f?
Answer:
Last option (the drawn)
Step-by-step explanation:
The following points correspond to f:
(3, -2), (9, 2)
The slope of the line (m) is:
m = (2 - (-2))/(9 - 3) = 4/6 = 2/3
Therefore, the first option is incorrect (its slope is 3/2).
To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:
y = mx + b
2 = 2/3(9) + b
b = 2 - 6
b = -4
Therefore, the third option is incorrect (it add 4 instead of subtracting 4).
Replacing x = 6 into the equation we get:
y = 2/3(6) - 4
y = 0
then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).
Answer: the 4th answer is correct
If X^2 = 4
Does X = 2 or X = -2
Answer:
Both.
Step-by-step explanation:
[tex]x^2=4[/tex]
[tex]x=\±\sqrt{4}[/tex]
[tex]x=\± 2[/tex]
Answer:
Yes
Step-by-step explanation:
If,
X² = 4
Taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{4}[/tex]
So, It becomes
X = ±4
Either
X = 2 OR X = -2
The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer
Answer:
28
Step-by-step explanation:
When you put the numbers in order and then cut into 4 equal parts 28 is the first cut
sorry idk if that made sense or not
Manuel has a collection of baseball cards. There are 10 Tiger players, 4 Red Soxs, 6 Cubs, and 5
Yankees. If he shuffles the cards what is the probability that the first card he picks is a Tigers
player?
Answer: 2/5
Step-by-step explanation:
10 + 4 + 6 +5 = 25
10/25
simplify: 2/5
Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2
(8x - 6) - (7x - 9)
I hope you're open to me asking more questions in the reply <3
Answer:
x + 3
Step-by-step explanation:
Given
(8x - 6) - (7x - 9)
Distribute the first parenthesis by 1 and the second by - 1
= 8x - 6 - 7x + 9 ← collect like terms
= x + 3
Can someone help me out
Please help with this
Answer:
D) reflection across the origin
Step-by-step explanation:
Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months. Find the total value of his investment.
Answer:
[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.
Solve for:
Total value of his investment.
Step 1: Define the formula to calculate the total value of Lachlan's investment
Total value = Principal x (1 + rate/2)^(Year x 2)
(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)
Step 2: Perform the calculation:
With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5
=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$
Hope this helps!
:)
1a) What is the side length of the following square? *
Answer:
4 unit cubes
Step-by-step explanation:
Answer:
Exact: 2sqrt(5)
Approximate: 4.472
Step-by-step explanation:
The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.
c^2 = a^2 + b^2
c^2 = 2^2 + 4^2
c^2 = 4 + 16
c^2 = 20
c = sqrt(20)
c = sqrt(4 * 5)
c = 2sqrt(5) = 4.472
Factor this polynomial completely.
12x2+x-6
Step-by-step explanation:
12 x 2 = 24 + x = 24x - 6 = 18x
Hope This Is Correct For You
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
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Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answer:
The answer is "(0,0)"
Step-by-step explanation:
In the given some information is missing that is point so, the correct answer to this question can be described as follows:
book Number = x
overall Book weight = y
Neither x nor y can be negative. We have to be positive values, then.
Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.
So the only viable solution from the given options is (0, 0).
Answer:
6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders
Step-by-s6 ounces.
Choose the equation of the horizontal line that passes through the point (2, 4). (5 points) y = 2 x = 2 y = 4 x = 4
Answer:
y=4
Step-by-step explanation:
A horizontal line has constant y values so it is of the form
y=
The point is (2,4) so the y value is 4
y=4
PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(-6-(-2))
m=2/-4
m=-1/2
What is the distance between the coordinates (-6,5) and (-3, 2)? Round your
answer to the nearest tenth.
Answer:
The distance between the points is approximately 4.2 units.
Step-by-step explanation:
Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:
[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]
[tex]\sqrt{3^{2} + -3^{2} }[/tex]
[tex]\sqrt{9 + 9}[/tex]
[tex]\sqrt{18}[/tex]
≈ 4.2 units
Hope this helps :) Feel free to ask me any questions!
The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces does Helen have.
Answer:
36
Step-by-step explanation:
25:9
25*4 = 100
9*4 = 36
What is the circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ).C=_____cm
I just don't get it at all
PLZ HELP
Circumference = 2 pi r
R = 10
Pi = 3.14
Circumference = 2×3.14×10
=20×3.14 = 62.8 cm
_____________________________
Hey!!!
Radius(r)=10 cm
Circumference=?
Now,
Circumference=2 pi r
=2*3.14*10
=62.8 cm
So the answer is 62.8 cm
Hope it helps
Good luck on your assignment
______________________________
f(n)=93+4(n-1)f(n)=93+4(n−1)f, left parenthesis, n, right parenthesis, equals, 93, plus, 4, left parenthesis, n, minus, 1, right parenthesis Complete the recursive formula of f(n)f(n)f, left parenthesis, n, right parenthesis.
Answer: f(n) = 4n + 97 (or 97 + 4n)
Step-by-step explanation:
Distribute 4 and (n-1)
f(n) = 93 + 4n - 4
Add 93 and 4
f(n) = 97 + 4n
Answer:
The answer is 93 & 4
Step-by-step explanation:
I got it right on khan. Btw I don't know if someone said this already bc I am sooo tired bc it's 1 am :(
