Answer:
1619
Step-by-step explanation:
I = 180 - 43 - 26 = 111
using sine rule
\(\frac{i}{sin 111} = \frac{760}{sin 26}\)
i = 1618.5 = 1619
Answer:
Step-by-step explanation:
Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $15; 150 items cost $5500 to produce.
The linear cost function is C(x) =
The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .
The linear operate is expressed as y = mx + b .....(1)A linear value operate expresses value as a linear operate of the amount of items;Let C(x) is that the total value, and x is that the range of things.
The slope "m" is named the cost and "b" is named the charge.
The value of m is $15 and the price of "x" is 150.
Total cost of 150 items are $5500
Substitute all the values within the equation (1) , we get
5500 = 15 (150) + b
5500 = 2250 + b
3250 = b
Hence , linear cost function is given by C(x) = 15x + 3250
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NEED HELP WILL MARK BRANLYEST
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples
A salt mixture has 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
7 to 1
1 to 7
2 to 7
2 to 8
Answer:
2 to 7
Step-by-step explanation:
A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?
Answer:
33 CarsStep-by-step explanation:
132 / 4 = 33
Therefore,
The answer is,
33 Carsy=1/2x+2 y=1/3x+2 solve for graphing
Answer:
I plotted it out on the graph and here it is:
Suppose the die has been “loaded” so that P(1)=1∕12, P(6)=3∕12, and the remaining four outcomes are equally likely with one another. Now find the probability that the number rolled is both even and greater than two
The "loading" of the die makes P(1)=112, P(6)=312, and the following four outcomes equally likely. A roll with an even number larger than two has a 50% probability of occurring.
The probability of rolling an even number is 1/2 since there are three even numbers (2, 4, 6) and six possible outcomes in total.
The probability of rolling a number greater than two is 5/6 since there are five outcomes (3, 4, 5, 6) greater than two and six possible outcomes in total.
To find the probability that the number rolled is both even and greater than two, we need to find the probability of rolling a 4 or a 6 since these are even numbers that are greater than two.
The probability of rolling a 4 is P(4) = 1/12 + 1/6 = 1/4 since the die is loaded to favour a 6 over the other numbers, but all other outcomes are equally likely.
The probability of rolling a 6 is P(6) = 3/12 = 1/4 since the probability of rolling a 6 is given as 3/12.
Therefore, the probability of rolling an even number that is greater than two is:
P(even and greater than two) = P(4 or 6) = P(4) + P(6) = 1/4 + 1/4 = 1/2.
So the probability of rolling an even number that is greater than two is 1/2.
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PLZZ HELP ASAP ILL MAKE U BRAINLIEST
What type of transformation is shown?
Reflection
Translation right and down
Translation left and down
Rotation
A teacher will pick 1 student at random from 5 for the lead in a play. What is the probability of a student, Jo, of winning?
Answer:
the answer is 1/5th or 20%
[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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WILL MAKE BRAINLIST----- Describe both rotational symmetry and reflection symmetry. Find four examples of symmetry in your classroom.
Answer:
When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.
Step-by-step explanation:
I need help answering this question please
Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval. x2 + 2x + 2 x2 The area is 54 (Type an integer or a simplified fraction.)
To find this area, it is necessary to solve an integral, actually the sum of 2 integrals
\(\int (x^2+2x+2)dx+\int (3x+4)dx\)The first one must be evaluated from -3 to 2 and the second one from 2 to 3
\(\begin{gathered} \int (x^2+2x+2)dx+\int (3x+4)dx \\ (\frac{x^3}{3}+x^2+2x)+(\frac{3x^2}{2}+4x) \\ \end{gathered}\)Evaluate the first integral
\(\begin{gathered} \frac{x^3}{3}+x^2+2x\text{ (From -3 to 2)} \\ (\frac{2^3}{3}+2^2+2\cdot2)-(\frac{(-3)^3}{3}+(-3)^2+(2\cdot-3)) \\ \frac{8}{3}+4+4-(-\frac{27}{3}+9-6) \\ \frac{35}{3}+5=\frac{50}{3} \end{gathered}\)Evaluate the second integral
\(\begin{gathered} \frac{3x^2}{2}+4x\text{ (From 2 to 3)} \\ (\frac{3\cdot(3^2)}{2}+4\cdot3)-(\frac{3\cdot(2^2)}{2}+4\cdot2) \\ (\frac{27}{2}+12)-(\frac{12}{2}+8) \\ \frac{15}{2}+4=\frac{23}{2} \end{gathered}\)Now, solve the sum
\(\begin{gathered} \frac{50}{3}+\frac{23}{2} \\ \frac{100+69}{6}=\frac{169}{6} \end{gathered}\)The area is 169/6
What is the value of n?
Enter your answer in the box.
n= ____m
The value of n, considering the intersecting chords in the circle, is given as follows:
n = 6m.
What is the chord of a circle?A chord of a circle is a straight line segment that connects two points on the circle. Specifically, it is a line segment whose endpoints are on the circle. A chord is often denoted by drawing a line segment between the two endpoints, with the segment passing through the interior of the circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Considering the two intersecting chords for the circle in this problem, the value of n is obtained as follows:
5n = 15 x 2
5n = 30
n = 30/6
n = 6m.
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Ruby is visiting San Francisco From her hotel she walks 4 blocks east and 3 blocks north to a coffee shop. Then she walks 5 blocks west and 6 blocks north to a museum. Where is the museum in relation to her hotel?
answer:2 blocks
Step-by-step explanation:
she walked to 4 blocks from her hotel and 6 blocks north to museum right so 6 - 4 = 2 blocks
What is a description of an undefined term?
Answer:
In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.
Step-by-step explanation:
The temperature at 2 a.m. was -10°C.
At an earlier time the temperature was
0°C. It changed by -2°C each hour
until 2 a.m. At what earlier time was
the temperature 0°C?
Answer:
-1
Step-by-step explanation:
A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are possible?
Answer:
Step-by-step explanation:
10 to the 6th power
=1,000,000
There are 210 different possible combinations
How to determine the number of possible combinations?The given parameters are:
Types of candy, n = 10Candies to taste, r = 6The number of possible combinations is calculated using:
Combination = nCr
This gives
Combination = 10C6
Apply the combination formula
Combination = (10!)/((10 - 6)!6!)
Evaluate
Combination = 210
Hence, there are 210 different possible combinations
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PLEASE ANSWER IN THE SCREENSHOT. I WILL MARK BRAINLYEST
SUBTRACT
5 2/5 - (-2 4/15)
Answer:
7.66666666667
Step-by-step explanation:
I looked it up
Find the square root of 1225 by Division method.
Answer:
35
Step-by-step explanation:
square root of 1225 is 35
Answer:
Write 1225 as 5 x 5 x 7 x 7
So, 52 x 72 = 1225
So (5 x 7)2 = 1225
So √1225 = 5 x 7 = 35
Find the measure of x 5.
*5 = [?]
68 112°
112\68
Answer:
<5=112° corresponding angle
Given that d is the midpoint of line segment ab and k is the midpoint of line segment bc, which statement must be true? (May give brainliest)
Answer:
B is the midpoint of line segment AC
What is the name of a polygon that has three sides and three equal angles
Answer:
equilateral triangle
Step-by-step explanation:
equilateral triangle
A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.
Write an inequality for the following statement. 8 is less than c
Answer:
8 \(<\) c is an inequality for the following statement: 8 is less than c.
Step-by-step explanation:
less then means <
and grater than is this >.
Have a nice day!
PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
What is the area of the figure below?
8 m
8 m
3 m
12 m
2.
O 96 m
O
76 m 2
72 m 2
86 m 2
9514 1404 393
Answer:
86 m^2
Step-by-step explanation:
The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.
Then the figure's area is ...
A = LW - (1/2)bh
A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2
A = 86 m^2
The area of the figure is 86 square meters.