Answers
Step-by-step explanation:
To solve the equation for s we've got to leave s alone
[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]
Related Questions
Use the figure to decide the type of angle pair that describes 4 and 5
Answers
Answer:
Alternate interior angles
Step-by-step explanation:
Angles 4 and 5 are alternate interior angles
Between which pair of numbers is the of exact product
379 and 8
Answers
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answers
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
Christopher wanted to save some money. After 4 weeks, Christopher $50, and after 9 weeks, he saved $100. What was the average amount Christopher saved per week? * A.5 B.50 C.12.5 D.10
Answers
Step-by-step explanation:
I think 12.5 is the answer
Which postulate or theorem proves that A CFE and ADFE are congruent? o OSSS Congruence Postulate O SAS Congruence Postulate O AAS Congruence Theorem O ASA Congruence Postulate 1 2
Answers
Answer:
Option (1)
Step-by-step explanation:
Given:
CF ≅ DF
CE ≅ DE
To prove:
ΔCFE ≅ ΔDFE
Solution:
From ΔCFE and ΔDFE,
Statements Reasons
1). CF ≅ DF 1). Given
2). CE ≅ DE 2). Given
3). FE ≅ FE 3). Reflexive property
4). ΔCFE ≅ ΔDFE 4). By SSS property of congruence
Therefore, SSS postulate of congruence will be the answer.
Option (1) will be the answer.
Answer:
the correct answer is sas
Step-by-step explanation:
took the test
What are the domain and range of the function?
f(x)=35x5
Answers
Answer:
Assuming that the question is
[tex]f(x)=\frac{3}{5x^5}[/tex]
The asnwer would be
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Step-by-step explanation:
The domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Domain and Range of function
The domain are the input values for which a function exist while the range are output value for which the function exist.
Given the function:
g(x) = 35x^5
The function can exist on all real values since we will have a correspoding value of y for every value of x.
Hence the domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Learn more on domain and range here: https://brainly.com/question/2264373
Susan was supposed to use 5/4 of a cup of butter
in her recipe, but she only used 3/4 of a cup of butter.
a. What fraction of the butter that she should
have used did Susan actually use? Make a
math drawing to help you solve this problem
and explain your solution.
b. Describe the different unit amounts that occur
in part (a). Discuss how one amount can be de-
scribed with two different fractions depending
on what the unit amount is taken to be.
Answers
Answer:
[tex]a.\ \dfrac{3}{5}[/tex]
Step-by-step explanation:
We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.
It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].
Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.
Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.
i.e. 5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]
a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]
Alternatively, we could have directly divided the given fractions:
[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]
The fraction of the butter that she should have used did Susan actually use is :
Fractions =5/4 and 3/4 of cups.
Denominator = 4 i.e. the fraction 1/4
Let us suppose,
A unit is equal to 1/4 of a cup.
Susan was supposed to use 5/4 of a cup.
5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
Fraction of butter used=unit of butter used/unit of butter
that was supposed to
be use
=3/4/5/4
=3/5
The fraction of the butter that she should have been used is 3/5.
Find out more information about "Fractions":
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7 – 0.2n = -0.8n + 10
What value of n makes this equation true?
Please helpp
Answers
The answer to the equation is [tex]n=5[/tex]
First, you must add 0.8n on both sides.
[tex]0.6n+7=10[/tex]
Then, subtract 7 from both sides.
[tex]0.6n=3[/tex]
Finally, divide both sides by 0.6
[tex]n=5[/tex]
escribe el número igaul a 5 decenas y 13 unidades
Answers
Answer:
63
Step-by-step explanation:
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments
AB
and
CD
, respectively. Fill in the blanks of the Statement/Reason solution.
Statement Reason
1. AM = BM = AB 2 =_____ cm 1. ____________________
2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint
3. MN = MB + ______ + CN 3. ____________________
4. MN = ________ cm 4. Algebra
Answers
Answer:
Step-by-step explanation:
If M is the midpoint of AB, then AM = MB
Also AM+MB = AB
MB+MB = AB
2MB = AB
2MB = 6
MB = 6/2
MB = 3 cm
Also
If M is the midpoint of CD, then CN = DN and CN+DN = CD
CN+CN= CD
2CN = CD
2CN = 6
CN = 6/2
CN = 3 cm
Note that MN = MB + BC + CN
Substitute the given data
MN = 3cm + 6cm+3cm
MN = 12cm
Therefore the distance between M and N is 12cm
The distance between of the AM = BM = AB/2 is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.
Then we know
[tex]\rm AM = MB \\\\NC = ND[/tex]
Then we have
[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]
Similarly, we have
[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]
NC = ND = 3 cm
AM = MB = 3 cm
1. AM = BM = AB/2 = 3 cm.
2. NC = ND = DC = 3 cm.
3. MN = MB + DC + NC.
4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Three workers arrive at work 15 minutes late, at a cost of $11 hour.
Answers
Answer:
They earned 8.25
Step-by-step explanation:
If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.
Consider the function f(x) = 3.x2 + 7x + 2.
what is the value of the discriminat?
Answers
Answer:
The Discriminant is 25
Step-by-step explanation:
For this case, the discriminant will be given by
b ^ 2 - 4 * a * c
Where
b = 7
a = 3
c = 2
substituting
b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
Therefore the value of the discriminant is 25.
How many x-intercepts does this function have?
It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
3x2 + 7x + 2 = 0
The results will be the interceptions with x.
What are the number of zeros for this function?
The number of zeros for this function is
two real number solutions
Because it is a quadratic function.
HELP ASAP PLEASE
Given x^2=81, select all possible values of x.
A. -9
B. -3
C. 0
D. 3
E. 9
Answers
Answer:
A and E
Step-by-step explanation:
x² = 81
~Take the square root of both sides
x = ±9
Best of Luck!
Answer:
The answer is a and e
Step-by-step explanation:
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answers
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
Find the value of x. 4^3 = x
Answers
Answer:
x=64
Step-by-step explanation:
Factorise fully
10c + 25
Answers
Answer:
5(2c+5)
I hope this helps
Water flows through a pipe at a rate of 8 pints per hour. Express this rate of flow in cups per week.
Answers
Answer:
2,688 cups per week
Step-by-step explanation:
Lets begin by figuring out the pints per week/pints per day. Multiplying 8 times 24, we get our daily total of 192 pints per day. Multiply this by 7 and we get a total of 1344 pints per week. We now must convert these pints into cups, which can be done by multiplying the total amount of pints by 2. 1344 times 2 = 2,688 cups
Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.
Answers
Given:
[tex]f(x)=4x^3-5x^2-3x+2[/tex]
[tex]g(x)=x-3[/tex]
To find:
The remainder when f(x) is divided by g(x).
Solution:
According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).
Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).
Substitute x=3 in f(x).
[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]
[tex]f(3)=4(27)-5(9)-9+2[/tex]
[tex]f(3)=108-45-7[/tex]
[tex]f(3)=56[/tex]
Therefore, the required remainder is 56.
A grocery store sells cheese for $0.48 a pound. What would be the price for 6 pounds of cheese?
Answers
Answer:
$2.88
Step-by-step explanation:
0.48×6=2.88
os the right answer
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answers
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
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i cant figure this out
Answers
Answer:
(xy) ^ (-1)
Step-by-step explanation:
Good luck!!
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
Answers
6m + 4n + 3m - 6
What is the expression in simplest form
Answers
you only add the like terms 6+3
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Answers
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answers
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
Find f(5). f(x) = x2 + 2x
Help please
Answers
Answer:
Your answer is: 15
Your equation would have f(5) = x^2 + 2x
Substitute the given value into the function and evaluate.
Step-by-step explanation:
Hope this helped ; )
grrrrrr please help i’ll give u a cookie :)
Answers
im only in 6th grade
Step-by-step explanation:
2) Jamie studies her Social Studies vocabulary for 30 minutes and studies 15
her Math problems for 15 minutes. After several days, she has studied her
Math problems for 60 minutes. How many minutes did Jamie study her
Social Studies vocabulary in the same time period?"
Your answer
This is a required question
Answers
Answer:
2 hours or 120 minutes
Step-by-step explanation:
So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.
How can you do a story from this equation:3+(4x12)
Answers
Answer:
A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?
Step-by-step explanation:
Hope this helps!
These are the weekly wages paid to staff in a hotel.
£245
£140
£525
£163
£195
£174
£140
What is the range of these wages?
What is the mean wage?
Answers
Answer:
range is 525-140=385
The mean of a set of numbers is the sum divided by the number of terms. Mean= 226
Step-by-step explanation:
hope that helper, have a good one
Range = 525 - 140 = 385
Mean =
[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]