Answer:
The first and second angles are 27° and the third angle is 126°.
Step-by-step explanation:
We have that the third angle (β) is 45° more than three times the measure of either of the other two angles (θ):
[tex] \beta = 45 + 3\theta [/tex] (1)
Also, the sum of the measures of the 3 angles is 180°:
[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex] (2)
By entering equation (1) into equation (2) we have:
[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]
[tex] 5\theta = 180 - 45 [/tex]
[tex] \theta = 27 [/tex]
Hence, the third angle is:
[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]
Therefore, the first and second angles are 27° and the third angle is 126°.
I hope it helps you!
What is the inverse of multiplication?
Answer:
i would say division
Step-by-step explanation:
Answer:
Division
Step-by-step explanation:
When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.
Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
Answer:
wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
True or false a function can sometimes be a relation ?
Answer:
Step-by-step explanation:
Corliss earns an hourly wage, as well as tips, each day he works. His daily earned income, m, after h hours can be represented by the inequality m>11h+35.
He makes at most $11 per hour plus $35 in tips.
He makes more than $11 per hour plus $35 in tips.
He makes at least $11 per hour plus $35 in tips.
He makes less than $11 per hour plus $35 in tips.
Answer:
He makes more than $11 per hour plus $35 in tips
Step-by-step explanation:
First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3
Here are inequality key words to help better understand the signs:
> : Greater Than, More Than
≥ : More Than or Equal To, At Least, No Less Than, A Minimum of
< : Less Than, Fewer Than
≤ : Less Than or Equal To, At Most, No More Than, A Maximum of
Answer this problem
-3+(-2)
Answer:
-5
Explaination:
Because -3-2 is -5.
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Please answer these questions! Legit answers only!
Answer:
204.4 amu
Step-by-step explanation:
0.30 * 203 = 60.9
0.70 * 205 = 143.5
60.9 + 143.5 = 204.4 amu
I hope this helps!
If 25% of the students in Pre-Algebra courses receive a grade of A, and there are 300 students enrolled in Pre-Algebra this year, how many students will receive an A? *
125
67
57
75
Answer:
75 students
Step-by-step explanation:
300/4
Answer:
75
Step-by-step explanation:
I'LL GIVE BRAINLIEST IF YOU ANSWER PLEASE I'M BEGGING
Answer:
A.
Step-by-step explanation:
Answer:
The answer is a.
Step-by-step explanation:
When you plug in 2 for n, 2 - 1 1, so we put 5 for a (because a superscript 1 = 5) and evaluate. This number then become a superscript 2.
4/-7 + -6/5
In simplest form
See attachment for math work and answer.
The function f(x) represents the amount of people it takes to build x engines in a car factory. What is a reasonable domain for the function f(x)?
PLEASE HELP THANK YOU
the value of y varies directly with x when y=24, x=2 . what is the value of y when x is 7?
Answer:
84
Step-by-step explanation:
y∞x
y=kx (where k is the constant)
24=2k
24/2=k
12=k
therefore the relationship between k,y and x is y=12x
y=12×7
y=84
can u guys help with my one question i have left
Answer:
Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .
Step-by-step explanation:
hope this helps :)
Answer:
I think 6
Step-by-step explanation:
365/12=30.42
30.42/5= 6.08
A small cab carries 4 people. How many small cabs will I need to transport 44 people?
Please answer! Thank you so so much and you will be rewarded in points!!
If the line passes through (-4,-7) and (4,9), what is the equation of the line in standard form?
2x - y = 1
2x + y = -1
2x + y = 1
2x - y = -1
Answer:
Step-by-step explanation:
Y=2x+1??
Answer:
2x - y = -1
Step-by-step explanation:
hope this helps
help me it's my homework
Answer:
2. Answer is 4 and for 3. P= 1/4s
Step-by-step explanation:
Simply divide the values of one another.
This results you with:
8/2 = 4
12/3 = 4
10/5 = 2 -> I think there was an error or typo here
40/10 = 4
The constant proportion would be 4 because it is constant in every situation for S and P.
The equation would be p= 1/4s because 1 value of p would equal 4 s.
help me plzzzzzzzzzzz
ft. = 4.8 yd.
How many feet is it
which fraction is less 2/10 or 5/8 or neither they are equal
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
Mike’s fitness center charges $30 per month for a membership. All Day fitness center charges $22 per month plus an $80 initiation fee for membership. After how many months will the total amount paid to the two memberships be the same?
Answer:
10 months
Step-by-step explanation:
30x = 22x + 80
8x = 80
x = 10
Numbers like 10, 100, 1,000, and so on are called
Answer:
Powers of ten
Step-by-step explanation:
They are the result of multiplying 1= times iteself however many times.
[(2r^2t)^3/4t^2]^2 simply
Answer:
=4r12t10
Step-by-step explanation:
I need help with this from start to finish
Answer:
i think you need to find the squar rout and you can just do that with a caulator.
Step-by-step explanation:
Select all sets to which the value belongs
√2- √2
Real Numbers/Irrational numbers/ Rational numbers/ Integers/Whole numbers/ Natural numbers.
Answer:
[tex] \sqrt{2} - \sqrt{2} = 0[/tex]
0 is real number, rational number, integers, whole numbers,
Help me with this question plz!!!
2x - 4=x+6
Answer:
x = 10Step-by-step explanation:
2x - 4 = x + 6 add 4 to both sides
2x - 4 + 4 = x + 6 + 4
2x = x + 10 subtract x from both sides
2x - x = x - x + 10
x = 10
What is the area of a
parallelogram with a base
of 2.5 cm and a height of
6 cm?
2.5 multiplied by 6 = 15
15 square centimeters
: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?
Answer:
She worked 12 hours as a babysitter and hours 6 as a hostess
Step-by-step explanation:
She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]
Compare v5 and 2.9.
Help :c
Answer:
√5 < 2.9
Step-by-step explanation:
√5 is 2.236...
which is less than 2.9
How many 1/3 cup servings are in a 12-cup container of juice?
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12