The length of the MN is 9.4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle NML.
NL = 12
Sin 51 = NM / NL
0.78 = NM / NL
MN = 0.78 x NL
MN = 0.78 x 12
MN = 9.36
Rounding to the nearest tenth.
MN = 9.4
Thus,
MN is equal to 9.4.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
Score: 0/7 0/7 answered
Question 3
The legislature in a state has 84 seats. Apportion these seats to the four counties below using Jefferson's
method.
County Population Initial Allocation Seats Received
Adams 25,900
Grant 137,400
Colton 18,000
Davis 45,500
Y < >
Does this situation illustrate any apportionment issues? Select an answer
Submit Question
Yes , situation illustrate the apportionment issues.
What is Legislature?legislature, lawmaking branch of a government. Before the advent of legislatures, the law was dictated by monarchs. Early European legislatures include the English Parliament and the Icelandic Althing (founded c. 930). Legislatures may be unicameral or bicameral (see bicameral system). Their powers may include passing laws, establishing the government’s budget, confirming executive appointments, ratifying treaties, investigating the executive branch, impeaching and removing from office members of the executive and judiciary, and redressing constituents’ grievances. Members may be appointed or directly or indirectly elected; they may represent an entire population, particular groups, or territorial subdistricts.To learn more about territorial refer to:
https://brainly.com/question/26350282
#SPJ1
Which of the follow is the equation of a line perpendicular to y=2x-5 that passes through the point (2, -5)?
Answer:
[tex]D) y=-\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Perpendicular means the slope of the other line is the negative reciprocal.
Slope in y = 2x - 5 is 2.
Negative reciprocal of 2 is - 1/2 or - 0.5
y = - 0.5x + b
Substitute.
- 5 = - 0.5(2) + b
- 5 = - 1 + b
b = - 4
y = - 0.5x - 4
What is the absolute value of 40
Answer =》Absolute value of any number is positive. Here, The absolute value of (-40) is 40.Apr 29, 2019
Step-by-step explanation: if I not right I am sorry god bless you
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Destiny owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 4 small tiers and 4 large tiers, which will serve a total of 288 guests. The second one includes 3 small tiers and 5 large tiers, which is enough servings for 316 guests. How many guests does each size of tier serve?
A small tier will serve guests and a large tier will serve guests.
Answer:
small tier: 22large tier: 50Step-by-step explanation:
If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.
SetupLet 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...
4s +4l = 288
And the second cake serves ...
3s +5l = 316
SolutionSubtracting 3/4 of the first equation from the second gives ...
(3x +5l) -3/4(4s +4l) = (316) -3/4(288)
2l = 100
l = 50
4s +4(50) = 288 . . . substitute for l in the first equation
4s = 88 . . . . . . . . . . subtract 200
s = 22 . . . . . . . divide by 4
A small tier will serve 22 guests; a large tier will serve 50 guests.
The temperature Thursday morning was 78 degrees . If the temperature rose 13 degrees by noon, what was the new temperature
The new temperature is 91 degrees, if the temperature is raised by 13 degrees.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The temperature Thursday morning was 78 degrees
If the temperature rose 13 degrees by noon,
We need to find the new temperature
Temperature rose 13 degrees by noon means thirteen degrees is increased by 78.
78 degrees + 13 degrees
91 degrees.
Hence, the new temperature is 91 degrees, if the temperature is raised by 13 degrees.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
is 84/54 a proportional
ratio ?
Answer:
yes ofc its a proportional ratio
Step-by-step explanation:
basic math
The population of a town in 2020 is 40% less than it was in 1980. Find the population in 1980 if it is 49,992 in 2020.
The population of the town in 1982 is 29995.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given, the population in 2020 is 49992.
40 percentage of population
= 40 % of 49992
= 40 x 49992/100
= 19996.8
Now the population in 1982
= population in 2020 - 40% of population in 1982
= 49992 - 19996.8
= 29995.2
Therefore the population in 1982 is 29995.2.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
a and b are regular octagons. the scale factor of a to b is 2.5:4. if the perimeter of octagon b is 64 inches, find the perimeter of octagon a.
The perimeter of octagon A is 40 inches.
What is perimeter?Perimeter is the sum of all the sides of a figure.
What is the effect of different ratios of lengths on perimeter?Since, both of them are octagons, we will simply use unitary method to calculate the perimeter of octagon A.
2.5 ---> 4
x -----> 64
cross multiplying gives,
4x = (64)(2.5)
x = 40 inches
Hence the perimeter of octagon A is 40 inches.
To learn more about perimeter visit the link below:
https://brainly.com/question/6465134
#SBJ4
Suppose that x and y vary inversely and x = 1 when y=2. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Answer:
Function: y = 2/x
Graph:
The graph of y = 2/x is a hyperbola whose asymptotes are the x-axis and y-axis.
y when x = 20:
y = 2/20 = 0.1
Factor 9t–3u.
Write your answer as a product with a whole number greater than 1.
The factor of the expression 9t – 3u will be 3 and 3t – u.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.
The expression is given below.
⇒ 9t – 3u
Simplify the expression, then we have
⇒ 3·3t – 3u
⇒ 3(3t – u)
The factor of the expression 9t – 3u will be 3 and 3t – u.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
If two angles are obtuse, then they are congruent.
True
False
The graphs of f(x)= x³ + x² - 6x and g(x) = e^x-3-1 have which of the following features in common?
A. Range
B. X-intercept
C. Y-intercept
D. End behavior
Answer: Range
Step-by-step explanation:
Find the area of a football field that is 100 yards long and 55 yards wide.
550 yds2
5500 yds2
510 yds2
5100 yds2
Assuming that the football field is a perfect rectangle, we will see that its area is 5,500 square yards.
How to find the area of the football field?
We assume that the football field has a rectangular shape. Remember that for a rectangle of length L and width W the area is given by the formula below.
A = L*W
In this case, we know that the dimensions of the football field are:
L = 100 yards
W = 55 yards.
Then we just need to replace these values in the area formula that is written above, we will get:
A= (100 yd)*(55 yd)
A = 5,500 yd²
The area of that football field is 5,500 yd², so the correct option is the second one.
Learn more about area by reading the following answer:
https://brainly.com/question/24487155
#SPJ1
here's the answer :)
Answer:
thnx needed the answer!!
What is the solution to the equation
Answer:
A: x=0, X=6
Step-by-step explanation:
I’m having a hard time figuring these out I don’t understand them that well.
Answer:
parenta=-1, h=k=0a=1, h=0, k=5a=1, h=5, k=-12a=-1, h=-5, k=-12Step-by-step explanation:
Given several transformed functions, you want to identify the parameters of the transformation: a, h, k.
TransformationWe assume your transformation of the function g(x) has the pattern ...
y = a·g(x -h) +k
You are trying to match the given functions with this pattern.
Here, 'a' is the multiplier of the absolute value function. In these examples, it is 1 or -1.
The parameter 'h' is the value subtracted from x inside the absolute value bars. (This is the amount of translation of the graph to the right.)
The parameter 'k' is the value added to the (scaled) absolute value, the constant on the right outside the absolute value bars. (This is the amount of translation of the graph upward.
parent: a=1, h=k=0a=-1, h=k=0a=1, h=0, k=5a=1, h=5, k=-12a=-1, h=-5, k=-12__
Additional comment
We have used g(x) as the function name, instead of the more usual f(x). This is because Brainly squawks any expression where f(x) is multiplied by 'a'.
Once you have identified the parent function, the pattern matching process can begin. The value of 'a' multiplies the function. The value of 'k' is added to the function. The value 'h' is subtracted from x where x is inserted into the parent function.
If the parent function is y = (3x²+2), then h=1 would give y = (3(x-1)²+2). The value of 'a' would multiply this expression, and the value of 'k' would be added to this expression.
The area of a rectuangular mirror is 10 5/16 square feet. The width of the mirror is 2 3/4 feet. If there is a 4 foot tall space on the wall to hang the mirror will it fit?
The length of the mirror is [tex]3\frac{2}{33}[/tex] feet so it can fit into a wall of 4 feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, The area of a rectangular mirror is [tex]10\frac{5}{6}[/tex] square feet.
The width of the mirror is [tex]2\frac{3}{4}[/tex] feet and assuming the length to be x feet.
∴ (11/4)×x = 65/6.
x = (65/6)×(4/11).
x = 260/66.
x = 130/33.
x = [tex]3\frac{2}{33}[/tex] feet so the mirror can fit in the wall as it is less than 4 feet.
learn more about rectangles here :
https://brainly.com/question/15019502
#SPJ1
13 Two sides of a triangle are 27 inches and 17 inches. What are the possible lengths of the third side? Give your answer as an inequality.
______
The third side of the triangle will be lies between 10 and 44
The rule that we will use to answer this is:
The sum of lengths of two sides of a triangle must be more than the length of the third side.
So, we have side lengths 27 and 17. 27 + 17 = 44 and thus the third side must be less than 44.
Now to consider how small it can be. If we represent the third side as X, we can get 17 + X > 44 which gives us X > 27
Therefore the third side is between, but not including, 10 and 44 units long.
https://brainly.com/question/208589
#SPJ4
2. The set of integers is a subset of which set of numbers?
A. Even Numbers
B. Rational Numbers
C. Natural Numbers
D. Whole Numbers
Answer: B: rational numbers
Step-by-step explanation: A rational number is a number that can be expressed as A/B or A over B. They also include integers, whole numbers, percents, decimals, etc...... For example, -2 can be expressed as -2/1 or -2 over 1.
Deshaun runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?
Answer:
miles = 48(2/15)
miles = 96/15
miles = 6.4 miles
Step-by-step explanation: your welcome
Answer:
At the same rate, how many miles would he run in 48 minutes. --- miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48 ...
Step-by-step explanation:
30x^2 + 7x - 15
Plese tell the answer
Answer:
Factors are: (5x - 3) and (6x + 5),Roots are: x = 3/5 and x = - 5/6.------------------------------------
It is assumed you need to find the factors or roots of the quadratic trinomial.
30x² + 7x - 15Factorize it as follows:
30x² + 7x - 15 = 30x² + 25x - 18x - 15 = 5x(6x + 5) - 3(6x + 5) = (5x - 3)(6x + 5)The roots are:
5x - 3 = 0 ⇒ 5x = 3 ⇒ x = 3/56x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - 5/6h(t)=t+5
g(t)=3t-5
Find (h•g)(5)
Answer:
25/w
Step-by-step explanation:
Can someone pls im begging help me with this!!
Answer:
31
Step-by-step explanation:
Determine whether the following sequence is arithmetic, geometric, or neither. 1, 4, 9, 16, ...
neither
geometric
arithmetic
Answer:
neither
Step-by-step explanation:
Justin and Toshiro are each running one mile. Justin has run mile. Toshiro has run
mile farther than Justin.
What fraction of a mile does Toshiro have left to run?
Find the value of x
A. 75
B. 70
C. 60
D. 80
Answer:60
Step-by-step explanation:
can someone help me solve this discrete math...answer choices A Y X or B
The value of (n o p) (Δ) is X.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
(n o p) (Δ):
= n ( p(Δ) )
From the function map we have,
p(x) = (Δ, Y)
This means,
For x = Δ we get p(Δ) = Y.
So,
= n ( Y )
From the function map we have,
n(x) = (Y, X)
This means,
For x = Y we get n(Y) = X
So,
= X
Thus,
Using the function map,
(n o p) (Δ) is X.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
your family is traveling to canada for vacation. you have saved $212 to take for spending money. if 25 canadian dollars is equivalent to $20.08 US dollars, how many canadian dollars will your 212 US dollars become
The number of Canadian dollars your 212 US dollars became is 264.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, you have saved $212 to take for spending money in vacation.
Here, 25 Canadian dollars is equivalent to $20.08 US dollars
Now, number of US dollars = 212/20.08
= 10.56
So, 25 Canadian dollars = 25× The number of US dollars
= 25×10.56
= 264 Canadian dollars
Therefore, the number of Canadian dollars your 212 US dollars became is 264.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ1
-4x + 10y - 4 = 0 slope intercept
4. For i = -1, (4 + 1)² = ?
Answer:
(4 + 1)² = 25
This is because when you raise a number to a power, such as a square or a cube, you are multiplying the number by itself. In this case, 4 + 1 is 5, so 5² is 25.