Answer: r = 9
Step-by-step explanation:
Simplifying
20 = r + 11
Reorder the terms:
20 = 11 + r
Solving
20 = 11 + r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-1r' to each side of the equation.
20 + -1r = 11 + r + -1r
Combine like terms: r + -1r = 0
20 + -1r = 11 + 0
20 + -1r = 11
Add '-20' to each side of the equation.
20 + -20 + -1r = 11 + -20
Combine like terms: 20 + -20 = 0
0 + -1r = 11 + -20
-1r = 11 + -20
Combine like terms: 11 + -20 = -9
-1r = -9
Divide each side by '-1'.
r = 9
Simplifying
r = 9
Answer:
r=9
Step-by-step explanation:
Step 1: Flip the equation
r + 11 = 20
Step 2: Subtract 11 from both sides
r + 11 - 11 = 20 - 11
triangle DEF contains two congruent acute angles. The sum of the measures of the two
congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?
Anna is correct. The remaining angle of the triangle measures less than 90 degrees.
Acute angles:Acute angles are those angles that measure less than 90 degrees. Since Triangle DEF contains 2 congruent acute angles. So, This means each of those 2 acute angles in the triangle are less than 90 degrees.Learn more about the triangle here; https://brainly.com/question/25813512?referrer=searchResults
Answer: b. She is correct. The remaining angle of the triangle measures less than 90 degrees.
Step-by-step explanation: edge 2022
A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.
Answer:
$35 x + $25 y ≥ $3200 x ≤ 120
Step-by-step explanation:
Because she needs to write before type the page, so that y≤x
∴ x≤120
$35 x + $25 y ≥ $3200 x ≤ 120
Final answer:
The system of inequalities for the teacher's summer work with the textbook company is 35x + 25y \\( ext{≥}) 3200, x + y \\( ext{≤}) 120, x \\( ext{≥}) 0, and y \\( ext{≥}) 0, where x is pages written and y is pages typed.
Explanation:
The system of inequalities to represent the situation where a teacher works for a textbook company during the summer, earns $35 per page for writing the material and $25 per page for typing, wants to earn at least $3200, and does not want more than 120 pages of work would be:
35x + 25y \\( ext{≥}) 3200
x + y \\( ext{≤}) 120
x \\( ext{≥}) 0
y \\( ext{≥}) 0
Here, x represents the number of pages written and y represents the number of pages typed. The first inequality ensures the teacher earns at least $3200, the second inequality ensures the total number of pages does not exceed 120, and the last two inequalities represent that the teacher cannot write or type a negative number of pages.
from the top of an 800 foot tall car talk tower, tom sees a plane; the angle of elevation is 67 degrees. at the same instant tay who is on the ground one mile from the building notes that his angle of elevation to the plane is 81 degrees and that his angle of elevation to the top of the tower is 8.6. assuming that tom and ray and the airplane are in a plane perpendicular to the ground, how high is the airplane
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.
To solve this problem, we can use trigonometry to set up a system of equations with the given angles and the known height of the tower. We'll use the following steps:
1. Use Ray's angle of elevation to the plane (81 degrees) and his distance from the tower (1 mile, which is 5280 feet) to find the height of the plane from the ground.
2. Use Ray's angle of elevation to the top of the tower (8.6 degrees) with the same distance to find the height difference between the tower and the plane.
3. Add the height of the tower to the height difference found in step 2 to get the total height of the plane from the ground.
Let's denote the height of the plane from the ground as ( h ) and the horizontal distance from Ray to the point right below the plane as ( d ). We know that [tex]\( \tan(81^\circ) = \frac{h}{5280} \)[/tex] and [tex]\( \tan(8.6^\circ) = \frac{800}{5280} \)[/tex].
Let's calculate ( h ) using these equations.
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.
Geometry Question Find the Area of the Circle
Answer:
379.94
Step-by-step explanation:
A = πr²
A = 3.14 x 11²
A = 3.14 x 121
A = 379.94
Find the radius [ d / 2 = r ]
22 / 2 = 11cm.
Find the area [ A = πr² ]
A = π(11)²
A = π(121) or 121π
A = 379.94
Therefore, the area of the circle is 379.94cm² or 121π cm²
Best of Luck!
Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas at Smiths for $14.90 or 8 pounds at Walmart for $12.08. How much would the cost per pound be at Smiths?
Answer:
$1.49 per pound of bananas at Smiths
Step-by-step explanation:
1. 10 pounds is $14.90
2. Find how much one pound costs by dividing 14.90 by 10
3. 14.90/10= 1.49
4. $1.49 per pound of bananas at Smiths
Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?
Answer:
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
Step-by-step explanation:
Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:
area border = 1*2 = 2 inches²
The area of the interior tiles is 3.5 larger than that, so we have:
area interior = 2*(area border) = 2*3.5 = 7 inches²
In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:
area interior = width*height = 2*height*height = 2*height²
7 = 2*height²
height² = 3.5
height = sqrt(3.5) = 1.871
width = 2*height = 2*1.871 = 3.74166
The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".
The interior tiles that Ryan wants to use in his bathroom will have dimensions of 3.5 inches by 7 inches.
Ryan is using 1" x 2" tiles for the border of his bathroom and wants to use similar tiles for the interior that are larger by a scale factor of 3.5.
To calculate the dimensions of the interior tiles, you simply multiply the dimensions of the border tiles by the scale factor. Therefore, the dimensions of each interior tile will be:
2 inches (width of border tile) x 3.5 = 7 inches (width of interior tile)
f(x) = 2x + 10 g(x) = 1(1.01)x
x y
10 1.00
12 1.01
14 1.02
16 1.03
Which statement BEST compares the growth of the two functions as x approaches [infinity]?
Answer:
D) the value of the exponential function will eventually exceed the value of the linear function.
Step-by-step explanation:
I ATTACHED AN IMAGE WITH THE CORRECT INFORMATION OF THE QUESTION.
To know which is the correct answer we can calculate some other values of f(x) and g(x) for higher values of x:
f(100)=210 g(100)=7.31
f(1000)=2010 g(1000)=20959.15
f(10000)=20010 g(10000)=1.63e^43
As we can observe, g(x) eventually will exceed to f(x). This is noticed when x = 1000, where g(1000)>f(1000).
Hence, the answer is:
D) the value of the exponential function will eventually exceed the value of the linear function.
What is the measure of angle K?
102°
118°
134
156°
Answer:
118!
Step-by-step explanation:
On edge 2020
The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?
A. 5ft
B. 8ft
C. 10ft
D. 16ft
Answer:
B. 8ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
Substituting in the given values
48 = 2(16+w)
Divide each side by 2
48/2 = 2/2(16+w)
24 = 16+w
Subtract 16 from each side
24-16 =16+w-16
8 =w
Idk how to answer this question
Answer:
It's z^11
Step-by-step explanation:
To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11
Answer:
[tex]z^{11}[/tex]
Step-by-step explanation:
[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]
what’s the probability of p(7)
Answer:
The question not complete
Pls help! I need to know if this is right! 50 points!
A small delivery company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers. and find its radius.
Select the appropriate response:
A) (x+1)2+(y-1)2= 25 radius = 5 miles
B) (x-1)2+(y+1)2= 25 radius = 5 miles
C) (x+1)2+(y-1)2= 25 radius = 10 miles
D) (x-1)2+(y+1)2= 25 radius = 10 miles
Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.
Answer:
B) (x-1)2+(y+1)2= 25 radius = 5 miles
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(h,k) = (1, -1)
r = 5
(x - 1)² + (y - -1)² = 5²
(x - 1)² + (y + 1)² = 25
Identify which type of sampling is used. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag.
A) Stratified
B) Systematic
C) Convenience
D) Cluster
E) Simple Random
Answer: E simple random
Step-by-step explanation:
A simple random sample in a statistics is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability
The type of sampling used in this scenario is simple random sampling(E), where each member of the population has an equal chance of being chosen.
Explanation:The type of sampling used in this scenario is simple random sampling(option E).
In simple random sampling, each member of the population has an equal chance of being chosen.
In this case, since the cards are placed in a bag and three names are picked, each card has an equal probability of being selected, making it simple random sampling.
Learn more about Simple Random Sampling here:https://brainly.com/question/36473253
#SPJ3
What is 3x+2y=15 y=6x
Final answer:
The solution to the system of equations is x = 1 and y = 6.
Explanation:
The given equations are:
3x + 2y = 15
y = 6x
To solve this system of equations, we can substitute the value of y from the second equation into the first equation:
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
x = 1
Substituting the value of x into the second equation to find y:
y = 6(1)
y = 6
So, the solution to the system of equations is x = 1 and y = 6.
What is the constant of proportionality x 1 and y 0.5
Answer:
k = 0.5
Step-by-step explanation:
Constant of Proportionality is k = y/x
k = 0.5/1 = 0.5
Graph the line with slope -2 passing through the point (-2,1)
A firefighter is standing on the middlemost rung of a ladder, extinguishing a fire. In order to get a better position, the firefighter climbs 6 rungs. But due to the flames, the firefighter climbs down 10 rungs. After the fire calms down the firefighter climbs 18 rungs to reach the top rung.
How many rungs did the ladder have?
Answer:
29 rungs
Step-by-step explanation:
In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.
Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.
From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4
Now, he climbed 18 rungs again, making x -4+18 = x + 14
This is equal to the topmost rung i.e the topmost rung is at a position x + 14
This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself
14+ 14 + 1 = 29 rungs
The firefighter's movements on the ladder suggest that the ladder has 41 rungs, confirmed by algebraically considering the middle rung 'm' and then solving for 'm' knowing the positions relative to the top.
To solve the question, let's follow the firefighter's movement on the ladder using variables and a step-by-step approach. If we let the middlemost rung the firefighter is initially standing on be represented by 'm,' we can track the rung positions with the following moves:
The firefighter climbs up 6 rungs: new position is m + 6.
The firefighter then climbs down 10 rungs: new position is (m + 6) - 10 = m - 4.
Finally, to reach the top of the ladder, the firefighter climbs up 18 rungs: new position is (m - 4) + 18 = m + 14.
Since the final position is the top rung of the ladder, it means the middlemost rung 'm' plus 14 rungs equals the total number of rungs on the ladder. Because 'm' is the middle rung of the ladder, there must be 'm - 1' rungs below it. Therefore, the total number of rungs on the ladder is (m - 1) + m + 14. Simplifying, this becomes 2m + 13.
Now we know that 2m equals the number of rungs minus the top 14 rung positions, and since 'm' represents the middlemost rung, '2m' represents the total number of rungs on the ladder except for the top 14. Hence, the total rungs on the ladder are 2m + 14. But since 2m + 13 equals the total, the only number that satisfies this condition is when m = 14. Therefore, the ladder must have 2m + 13 = 2(14) + 13 = 41 rungs.
Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 45 packages in the small tray produced weight measurements with an average of 1.04 pounds and a standard deviation of 0.19 pound.a. If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?b. Find the p-value for the test and use it to perform the test in part a.c. How would you, as the quality control manager, report the results of your study to a consumer interest group?
Answer:
There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound
Step-by-step explanation:
Here we have to perform a t-test
Mean = Sample mean = 1.04 lb
μ = Population mean = 1 lb
s = Standard deviation of 0.19
n = Sample size = 45
Null hypothesis H₀ = 1
Alternative hypothesis Hₐ > 1
Therefore from
[tex]t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex] we have
t = 1.412
Critical t at 5% confidence level = 1.68
at 5 % confidence level we obtain the probability P is;
P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 )= 8 3 cosine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 )sine, (, theta, start subscript, 1, end subscript, )? Express your answer exactly.
Answer:
[tex]\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
Step-by-step explanation:
The angle [tex]\theta_1[/tex] is located in Quadrant I and [tex]\cos(\theta_1)=\frac{3}{8}[/tex]
From Trigonometric ratio, In the First Quadrant
[tex]\cos \theta=\frac{Adjacent}{hypotenuse}[/tex]
Adjacent =3, Hypotenuse =8
Using Pythagoras Theorem
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\8^2=Opposite^2+3^2\\Opposite^2=64-9=55\\Opposite=\sqrt{55}[/tex]
Therefore:
[tex]\sin(\theta_1)=\frac{Opposite}{Hypotenuse}\\\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]
It costs 100 dollars for 20 cookies. +
What is the price of one cookie?
Answer:
$5
Step-by-step explanation:
First you divide the 2 numbers you know.
100/20= 5
And if your not sure then you can multiply it.
5x20=100
How do I answer this?
c = 30 inch
Step-by-step explanation:
perpendicular (p) = 18 inch
base(b) = 24 inch
hypotenuse (h) = ?
we know by using Pythagoras theorem
h² = p² + b²
h² = 18² + 24²
h² = 324 + 576
h² = 900
h= √900
therefore h = 30 inch
Hope it will help you. :)
Answer:
(30)Pythagorean theorem a^2+b^2=c^2
Step-by-step explanation:
18^2+24^2=c^2
square root 900 and the answer is 30
sorry if wrong i tried
How many solutions are there for quadratic graphed below:
Group of answer choices
1 solution
Infinite Solutions
No solutions
2 solutions
Answer:
No solutions
Step-by-step explanation:
The graph does not contact the x axis
There are no real answers for this reason.
if there are 39 people in a room and everyone has to shake hands with everyone exactly once, how many handshakes are there?
if i'm not mistaken, this means that one person has to shake 38 people's hands. so, that would be 38*39, i believe.
someone help please?
Answer:
A. 76
B. 150
C. 38
Step-by-step explanation:
Answer:
(a) 76 students drink coffee.
(b) 150 students drink coffee, tea, or both.
(c) 38 students do not drink both tea and coffee.
Step-by-step explanation:
This question requires an analysis of Venn diagrams.
(a) The two circles are shared, but only 76 students drink coffee.
(b) I'm pretty sure this is a trick question. It says "how many drink tea OR coffee OR both?" probably meaning that they want you to count everyone besides the 38 who do not drink either. This could be 28, but I am sure that it is 150.
(c) As seen outside of the Venn diagram, 38 do not drink either coffee or tea.
Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of A be?
Answer: It’s 4 they’re all wrong (pretty sure I have the same graph)
Step-by-step explanation:
A general cosine function has the form:
f(x) = A*cos(c + x)
We want to find the value of A that matches the one in the image, and we will find that A = 3
Ok, a general cosine function is:
f(x) = A*cos(c + x)
Where A is the amplitude.
To find the amplitude of a cosine function, we just need to find half of the difference between the maximum and minimum value of the function:
By looking at the given graph, we can see that the maximum is y = 3, and the minimum is y = -3
Then the amplitude is:
A = (3 - (-3))/2 = 6/2 = 3
The correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/19830127
What equation represents a circle with a center at (-3, -5) and a radius of 6 units
Answer:
(x+3)^2 + (y +5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle with the formula
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 + (y - -5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 36
Answer:
D; (x + 3)^2 + (y + 5)^2 = 36
Step-by-step explanation:
correct on edge
Albert has £500 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 5 years. How much interest will he have earned after 5 years?
Answer:
He'll earn 125 in interest after 5 years.
Step-by-step explanation:
Since it's a simple interest rate, we can use the formula to calculate the amount of interest he'll earn in those years. We have:
C = P*i*t
Where C is the amount of interest earned, P is the initial amount invested, i is the interest rate and t is the total time elapsed. For this case we have:
C = 500*0.05*5
C = 2500*0.05
C = 125
He'll earn 125 in interest after 5 years.
A truck has a trailer that has a length of
7m, a width of 2m and a height of 4m.
What is the volume of the trailer?
Answer:
56m cubed
Step-by-step explanation:
7m×2m×4m=56m
Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour. Mark this and return
Answer:
C
Step-by-step explanation:
I took the test
having some trouble helppp.
Answer:
3/5
Step-by-step explanation:
Answer:
The slope is 3/5.
Step-by-step explanation:
First remember that the formula for slope is the difference in ys / difference in xs.
m = y2 - y1 / x2 - x1
Plug in the coordinates of the two points you're given, keeping in mind that coordinates are (x,y).
m = -5 - 1 / -5 -5
m = -6 / -10
m = 6/10 = 3/5