Answer:
x = 108°
Step-by-step explanation:
since one full angle is 360° so x = 360-55-85-112 = 108°
1 round full = 360°
Step-by-step explanation:
• Search for x
→ 112 + 55 + 85 + x = 360°
→ 360 - 112 - 55 - 85 = x
→ 108° = xᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ
Conclusion
: So " x " is 108° .ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ
#Hopethishelp
______
Moumocl!
tener senderos 2 preliminary look at the drawings and describe these people using an expression with tener
These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.
To describe these people by having a preliminary look at the drawings using an expression with "tener," you can focus on their physical or emotional characteristics. For example, you can say:
1. "Tienen el pelo largo" (They have long hair)
2. "Tienen los ojos azules" (They have blue eyes)
3. "Tienen una sonrisa radiante" (They have a radiant smile)
4. "Tienen una mirada triste" (They have a sad look)
5. "Tienen mucha energía" (They have a lot of energy)
These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.
To know more about describe refer here:
https://brainly.com/question/31914714
#SPJ11
How do you find the surface area of this cone
Answer: 9.42477796077 square yards
Step-by-step explanation:
Cone Surface Area Calculation
surface area of cone slant height is 2 radius is 1
To find the surface area of a cone, we need to know the radius and slant height of the cone.
In this case, we are given that the radius (r) is 1, and the slant height (l) is 2. We can use the Pythagorean theorem to find the height (h) of the cone:
l^2 = r^2 + h^2
2^2 = 1^2 + h^2
4 = 1 + h^2
h^2 = 3
h = sqrt(3)
Now we can use the formula for the surface area of a cone:
A = πr^2 + πrl
Substituting the values we know:
A = π(1)^2 + π(1)(2)
A = π + 2π
A = 3π
So the surface area of the cone is 3π
3 times Pi = 9.42477796077
ChatGPT
.
what is this Find the value of |-6| - 3(42 - 1).
Answer:
-117
Step-by-step explanation:
The absolute value cancels out the negative sign for the 6.
6 - 3(42-1)
= 6 - 3*41
= 6 - 123
= -117
how to find eigenvalues and eigenvectors of a 2x2 matrix
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:
Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).
Let's assume we have a 2x2 matrix A:
| a b |
A = | c d |
To find the eigenvalues, we need to calculate the characteristic equation:
det(A - λI) = 0,
where I is the 2x2 identity matrix and λ is the eigenvalue.
A - λI = | a-λ b |
| c d-λ |
The determinant of this matrix is:
(a-λ)(d-λ) - bc = 0,
which simplifies to:
λ² - (a+d)λ + (ad - bc) = 0.
This quadratic equation gives us the eigenvalues.
Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.
Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.
For each eigenvalue, set up the homogeneous system of equations:
(A - λI)v = 0,
where v is the eigenvector.
Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.
To know more about eigenvalues, visit
https://brainly.com/question/29861415
#SPJ11
A local movie theater earned $250,000 in revenue last year. What were the
movie theater's mean monthly earnings last year to the nearest dollar?
I’m in the 6th grade pls help
Answer:1200
Step-by-step explanation:
have no time sorry
the population linear regression line is composed of infinetly many population means of normal density function. T/F
Therefore, False. The population linear regression line is composed of infinitely many population data points, not means of the normal density function.
Explanation:
The population linear regression line is composed of infinitely many population data points, not means of the normal density function. The line is determined by the relationship between two variables and is used to make predictions about one variable based on the other.
Therefore, False. The population linear regression line is composed of infinitely many population data points, not means of the normal density function
To know more about statement visit :
https://brainly.com/question/27839142
#SPJ11
I don't understand this help me : )
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Hope it helps you in your learning process.
There is a 25% chance that Saba will have to wait in line to ride a roller coaster for more than 10 minutes. What is the probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park
Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 5, p = 0.25.
The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.
what is equivalent to 2x/x-7 - x+7/x
The formula 2x/(x-7) - (x+7)/x therefore equals (x² + 49) / (x × (x-7)).
What does an arithmetic the expression mean?Mathematical expressions consist of at least two integers or factors, a minimum of one math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.
To simplify the expression 2x/(x-7) - (x+7)/x, we need to find a common denominator.
First, we can rewrite the second term as (x+7)/(x × 1), so the expression becomes:
2x/(x-7) - (x+7)/(x × 1)
To find a common denominator, we need to multiply the first term by x/x and the second term by (x-7)/(x-7):
2x × x / (x × (x-7)) - (x+7) × (x-7) / (x × (x-7))
Simplifying the expression further, we get:
(2x² - (x² - 49)) / (x × (x-7))
Simplifying the numerator, we get:
(2x² - x² + 49) / (x × (x-7))
And finally, we can simplify the expression to:
(x² + 49) / (x × (x-7))
Therefore, the expression 2x/(x-7) - (x+7)/x is equivalent to (x² + 49) / (x × (x-7)).
To know more about Expression visit:
brainly.com/question/1859113
#SPJ1
Answer:
\(\frac{x^{2}+49 }{x(x-7)}\)
Step-by-step explanation:
"please answer both questions
1) Think of a situation (other than the examples already given in the class) where you would want to maximize or minimize an objective function. What data would you need to collect? Give a short explain
To collect the necessary data, you would need to gather information such as:
Demand data: Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.
Lead time data: Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.
Holding cost data: Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.
Ordering cost data: Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.
Stockout cost data: Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements. Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.
learn more about necessary data, on
https://brainly.com/question/29117029
#SPJ11
To collect the necessary data, you would need to gather information such as:
Demand data:
Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.
Lead time data:
Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.
Holding cost data:
Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.
Ordering cost data:
Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.
Stockout cost data:
Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements.
Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.
learn more about data from given link
https://brainly.com/question/30156826
#SPJ11
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
Help pleazeeeeee! I need this as soon as possible
Modeling a Scenario with a TWO-
Fiona bought some socks that cost $4. 95 for each pair
and some belts that cost $6. 55 each. Fiona spent $27. 95
in all. Let a represent the number of pairs of socks
purchased and b the number of belts purchased.
Fiona must have bought 3 pairs of socks and 2 belts to spend $27.95 in all.
What is the linear equation?
A linear equation is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
We can model the scenario with a system of two equations in two variables as follows:
a: number of pairs of socks purchased
b: number of belts purchased
The cost of each pair of socks is $4.95, so the total cost of a pairs of socks is 4.95a.
Similarly, the cost of each belt is $6.55, so the total cost of b belts is 6.55b.
The total amount Fiona spent is $27.95, so we can write:
4.95a + 6.55b = 27.95
This is the first equation in our system.
We also know that a and b are both non-negative integers, since Fiona cannot buy a negative number of socks or belts.
To model this restriction, we can add the following inequalities to the system:
a ≥ 0
b ≥ 0
Now we have a system of two equations and two inequalities:
4.95a + 6.55b = 27.95
a ≥ 0
b ≥ 0
We can use this system to solve for the values of a and b that satisfy all the constraints of the problem. We could use a variety of methods to solve the system, such as substitution, elimination, or graphing.
For example, one way to solve the system is to solve the first equation for b in terms of a:
b = (27.95 - 4.95a) / 6.55
Since b must be a non-negative integer, we can try plugging in different values of a and see which ones yield integer values of b.
For instance, if we let a = 0, then b = (27.95 - 4.950) / 6.55 = 4.27, which is not an integer. Similarly, if we let a = 1, then b = (27.95 - 4.951) / 6.55 = 3.42, which is also not an integer.
However, if we let a = 2, then b = (27.95 - 4.95*2) / 6.55 = 2.57, which is not an integer. Continuing in this way, we find that the first integer value of b occurs when a = 3, which gives:
b = (27.95 - 4.95*3) / 6.55 = 1.71 ≈ 2
Hence, Fiona must have bought 3 pairs of socks and 2 belts to spend $27.95 in all.
To learn more about the linear equation visit:
brainly.com/question/29612131
#SPJ4
A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost $22.05 Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of glass?
Answer: $9.80
Step-by-step explanation:22.05/9=2.45x4= 9.80
Answer:
$4.30
Step-by-step explanation:
Two panes of glass cost $4.30.
Explanation
First find the cost of one pane of glass (the "unit cost")
7 panes of glass cost
$
15.05
, so one pane of glass costs
15.05
÷7∩
$2.15 ← cost of one pane of glass
Then use that answer to find the cost of two panes of glass
If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass
Answer:
Two panes of glass cost $4.30.
PLEASE HELP ME ASAP.
Step-by-step explanation:
anything whole or complete is designated as 100%.
what is x% of that whole ?
well, we need to multiply the whole with the same factor we need to multiply 100 with to get x.
100×f = x
f = x/100
whole × f = x% of the whole
so, when we are looking for 5%, what did that mean ?
it means that x = 5, and f = 5/100.
therefore, 5% of $13 is
13 × 5/100 = 65/100 = 0.65
so,
basic cost = $13
tax rate = 5%
tax amount = $0.65
and
basic cost = $13
tax amount = $0.65
total cost = 13 + 0.65 = $13.65
as 5/100 = 0.05
we have seen that the tax amount is simply $13×0.05
and when we add the tax amount to the basic cost, we need to add $13×1 (basic cost) to the $13×0.05 (tax amount), and we get as total
total cost = $13×(1+0.05) = $13×1.05 = $13.65
so, the decimal factor we can use directly without going through all the detail above is : 1.05
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.45. If needed, round your answer to three decimal digits.
Find P(A | B)
Find P(B | A
Are A and B independent? Why or why not?
The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.
To find P(A | B), we use the formula:
P(A | B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.
Plugging these values into the formula, we get
P(A | B) = 0.45 / 0.60 = 0.750.
To find P(B | A), we use the formula:
P(B | A) = P(A ∩ B) / P(A)
Here, P(A ∩ B) = 0.45 and P(A) = 0.50.
Substituting the values, we find
P(B | A) = 0.45 / 0.50 = 0.900.
A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.
To learn more about probability refer:
https://brainly.com/question/25839839
#SPJ11
Solve Each System By Substitution
y=-2
4x-3y=18
Answer: x=3
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
(4x=12)/4
x=3
Lina picks a 4 digit number.
The number is more than 5000.
The number is odd.
The second digit is a prime number.
How many different possible numbers could Lina pick?
Using the Fundamental Counting Theorem, it is found that there are 1000 possible numbers that Lina could pick.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In this problem:
The number is more than 5000, hence the first digit can be 5, 6, 7, 8 or 9, hence \(n_1 = 5\).The second digit is prime, that is, 2, 3, 5 or 7, hence \(n_2 = 4\).For the third digit, there are no restrictions, hence \(n_3 = 10\).The number is odd, hence the fourth digit can be 1, 3, 5, 7 or 9, hence \(n_4 = 5\).Hence the number of combinations is given by:
N = 5 x 4 x 10 x 5 = 1000
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ1
help meeeeeeeeeeeeeeee. this is due tomorrow
Answer:
common difference increases by 2 times
d = (2×12) = 24
\( {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46\)
a tree casts a 25 foot shadow. at the same time, a 6 foot stick casts a shadow 4.5 feet long. how tall is the tree
The tree is 34 feet tall.
Ratio of length of the stick to the length of the shadow = 6 : 4.5 = 4:3
Ratio of length of the tree to the length of its shadow = x : 25 = 4:3
x / 25 = 4 / 3
x = 25 x 4 / 3 = 100/3 = 33.33
Therefore, the length of the tree to the nearest foot is 34 feet (approximately).
To learn more about height and distance visit;
https://brainly.com/question/17089830
#SPJ4
How do I solve this problem 34=p+19
Hello,
\(34 = p + 19\)
\(34 - 19 = p + 19 - 19\)
\(15 = p\)
\(p = 15\)
Nathan is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Nathan need to invest, to the nearest dollar, for the value of the account to reach $280 in 12 years?
Answer:
223 (rounded to closest one) actual answer would be 222.91479275
Step-by-step explanation:
use formula A=Pe^nt
$280 = Pe^0.019(12)
$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.
P = 222.91479275
Deanna is improving her yard's landscape by adding artificial grass to an area of the yard. the space she wants to cover is rectangular with a length of 20 ft and a width of 12 ft. the grass comes in 24 in. by 24 in. panels.
how many panels of artificial grass will she need to cover the area?
Therefore, Deanna will need 60 panels of artificial grass to cover the area.
To find out how many panels of artificial grass Deanna will need to cover the area, we can follow these steps:
Step 1: Calculate the total area of the space she wants to cover.
Area = Length × Width
Given that the length is 20 ft and the width is 12 ft:
Area = 20 ft × 12 ft = 240 square feet
Step 2: Convert the area to square inches since the grass panels are measured in square inches.
1 square foot = 12 inches × 12 inches = 144 square inches
240 square feet × 144 square inches/square foot = 34,560 square inches
Step 3: Calculate the number of panels needed by dividing the total area in square inches by the area of each panel.
Each panel has an area of 24 inches × 24 inches = 576 square inches.
Number of panels = Total area / Area of each panel
Number of panels = 34,560 square inches / 576 square inches = 60 panels
To know more about area,
https://brainly.com/question/15271333
#SPJ11
it's a ven dyagram question pls help
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
S
What is the value of x?
9
T
12 units
16
X 15 units
4
✓x
20 units
R
X
24 units
Answer:
I found this. Will this help??
Step-by-step explanation:
In the given triangle RSQ and ΔRST it is given that
∠RTS ≅ ∠SRQ ≅ 90°
∠RSQ is common in two triangles Δ RSQ and Δ RST.
Therefore two angles are equal so both the triangles are common.
From this property we opposite sides of the corresponding angles will be in the same ratio.
SR/SQ = ST/SR
x/(9 + 16) = 9/x
By cross multiplication on each side of the equation
x² = 25×9 = 225
x = √225 = 15
Therefore measurement of x is 15 units.
The value of x from the given right triangle is 20 units. Therefore, option C is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given right triangle, we have ST = 9, TQ = 16 and RQ = x
From similar triangles,
Δ SRQ ⩭ Δ STR ------(1) {∵ RT 丄 Hypotenuse SQ}
Δ SRQ ⩭ Δ RTQ ------(2) {∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}
⇒ SR/ST = SQ/SR = RQ/TR
⇒ SR/9 = 25/SR = x/TR
⇒ SR² = 25 × 9
⇒ SR = 5 × 3 = 15
SR² + RQ² = SQ²
RQ² = SQ² - SR²
RQ² = 25² - 15²
RQ = x = √(625 - 225)
= √400
x = 20 units
Therefore, option C is the correct answer.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ7
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Evaluate
(8.9 € touš ++2557
Answer:
Hi
Step-by-step explanation:
How is your day??
Answer:
Hello
How are you doing??
if the perimeter of a rectangle is 124cm & the width is 35cm, what is the length?
Answer:
l=27
b=2×35=70
2l=124-70=54
l=54/2=27
-5 + 6a + (-8) + (-3a)=
Answer:
-5+6a+(-8)+(-3a)=
-13+3a
hope this helps
have a good day :)
Step-by-step explanation:
Answer:3a and -13
Step-by-step explanation:
hope it helps