Answer:
[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]
Step-by-step explanation:
We have completed the diagram with some lengths that come directly from the figure's symmetry.
Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.
This means the base of the triangle has the same length as the height of 9.
This means the total base of the trapezium is x = 9 + 7 = 16
The right triangle must satisfy Pythagora's Theorem:
[tex]y^2=9^2+9^2[/tex]
[tex]y^2=2*9^2[/tex]
[tex]y=\sqrt{2*9^2}[/tex]
Simplifying the radical:
[tex]y=9\sqrt{2}[/tex]
The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]
The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.
Answer:
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
The calculation is as follows:
For Elevator A: -4x+16
And,
Elevator B: -3x +16
Therefore the above statements are true.
Learn more: https://brainly.com/question/20492533?referrer=searchResults
The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?
Point-slope form
Complete the point-slope equation of the line through (-4, 8) and (4,4).
Use exact numbers.
WHOEVER ANSWERS RIGHT GETS BRAINIST
There are actually two correct answers, one of them is y-4=-0.5(x-4)
First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.
I need help asap pleaseeee
Answer: B,C
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05
Answer: b
Step-by-step explanation: edge 2020
8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
[tex]\frac{x-c}{2} =d, for ( x)[/tex]
SHow your work!
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
the slope 4/5x and the y intercept is -3
Step-by-step explanation:
code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution
Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals
Answer:
NO. Ada is not correct.
Step-by-step explanation:
Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 16 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 16^2 = c^2 [/tex]
[tex] 64 + 256 = c^2 [/tex]
[tex] 320 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{320} = \sqrt{c^2} [/tex]
[tex] 17.9 = c^2 [/tex] (nearest tenth)
Length of diagonal SQ = 17.9 in
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 8 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 8^2 = c^2 [/tex]
[tex] 64 + 64 = c^2 [/tex]
[tex] 128 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{128} = \sqrt{c^2} [/tex]
[tex] 11.3 = c^2 [/tex] (nearest tenth)
Length of diagonal OM = 11.3 in.
SQ is not two times the length of OM.
Therefore, Ada is not correct.
Answer:
No Ada is not correct
Step-by-Step Explanation:
The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it.
This would be the Rectangle:
a^2+b^2=c^2
8^2+16^2=c^2
64+256+c^2
320=c^2
√320
17.8
This would be the Square:
a^2+b^2=c^2
8^2+8^2=c^2
64+64=c^2
128=c^2
√128
11.3
Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM.
I hope this helped :3
20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards
Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
Which table does not show y as a function of x please show explation
$22 haircut; 20% tip
help..
Answer:
20% tip = $4.40; total = $26.4
Step-by-step explanation:
20 % = 0.20 ------> 22 * 0.20 = 20% of 22
20% of $22.00 = $4.40
total = $22.00 + $4.40
total = $26.40
a=zm+z solve for m please help!!!!!
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Which of the following is not a function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Answer:
A on edge. -
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Step-by-step explanation:
got it right
Answer:
it is A on edge the guy before me is wrong
Step-by-step explanation:
PLS HELP ME 80 - 4^2 ÷ 8
Answer:
I think it's 79
Step-by-step explanation:
.... Hi don't be mad if you get wrong
Answer:
80 - 16 ÷ 8 80 - 2= 78
Step-by-step explanation:
In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.
∠3and∠5
A
Complementray Angles
B
Vertical Angles
C
Corresponding Angles
D
Supplementary Angles
Answer:
I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol
Step-by-step explanation:
i hope it work
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
Are the two given triangles similar? Show your work to support your answer.
Helpppp please
find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.
Answer:
the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Step-by-step explanation:
Given the equation
$t² = 324$
Let us solve the equation
[tex]t^2=324[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]
as
[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]
so
[tex]t=18,\:t=-18[/tex]
Thus, the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Ur account got ha ked again...
well...
ill let you see for
What is an equation of the line that passes through the points (0, 3) and (5,−3)?
Answer:
y = -6/5x + 3
Step-by-step explanation:
y = mx + c (or b, depending on where you're from)
Slope = m = -6/5
y = -6/5x + c
You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3
Therefore, the equation is y = -6/5x + 3
Hop this helps
YALL HELP PLEASE THANK U
Answer:
I am not getting this question
Step-by-step explanation:
Given Vertex (5,4) and focus (8,4)
It can be easily noticed that focus and vertex lie on the same horizontal line y = 4
Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.
(y−k)^2=4a(x−h)
a=8-5=3 as y coordinates are the same.
Since the focus lies to the left of vertex, a = 3
(y−4)^2=4⋅3⋅(x−5)
(y−4)^2=12(x−5)
is the equation of the parabola.
i neeed thiss pleaseeeeeee!!!!!!
2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3
There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.
[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]
Now we will solve for y using what we got for x.
[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]
Solution:
A: [tex](0, 3)[/tex]
A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
46.78
Step-by-step explanation:
you divide 16 by the cos of 70 and it turns out to be 46.78
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Rewrite 7/2+ 14/25 as a single decimal.
Answer:
4.06
Step-by-step explanation:
7/2+14/25 Change into decimals
3.5+0.56 Add together
=4.06
in the sequence 11, 13,15,17 the first term is and the 4th term is ?
PLS HELP
Answer:
Isnt the
Step-by-step explanation:
Isnt the first term 11
And the 4th 17 lol
Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
According to the calculations, the correct statements are B and C.
Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:
The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.
Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.
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Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?
Answer:
26 flower arrangements
Step-by-step explanation:
14 times $17 equals $238
$576 - $238 = $338
$338/13 = 26 flower arrangements