The measure of the largest angle is 96 degrees.
What is a ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3
The measure of the largest angle in the triangle is 96 degrees.
To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.
We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.
We can set up the following equation to represent the sum of the measures of the angles in the triangle:
x + y + z = 180
We can also set up the following equation to represent the ratio of the angles:
x : y : z = 3 : 5 : 8
We can use these two equations to find the measure of the largest angle.
First, let's multiply the second equation by 3, 5, and 8 to get:
3x = 15y = 24z
Then, we can substitute these equations into the first equation to get:
15y + 24z = 180
Solving for z, we get:
z = 180 / (15+24) = 180 / 39 = 96
Therefore, the measure of the largest angle is 96 degrees.
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Which expression is equivalent to StartFraction 4 a 4 Over 2 a EndFraction times StartFraction a squared Over a 1 EndFraction? StartFraction 2 (a 1) squared Over a cubed EndFraction 6a 2a StartFraction 6 a squared Over a 1 EndFraction.
To solve the expression, we must know about an expression.
ExpressionIn mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
The solution of the expression is 2a.
Given to us\(\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}\\\\\)
Solution\(\dfrac{4a+4}{2a}\times \dfrac{a^2}{a+1}\\\\\)
Multiplying both we get,
\(=\dfrac{(4a+4)\times a^2}{2a \times (a+1)}\\\\\)
Taking 4 as common from the numerator,
\(=\dfrac{4(a+1)\times a^2}{2a(a+1)}\\\\\)
Canceling (a+1) from both numerator and denominator,
\(=\dfrac{4a^2}{2a}\\\\\)
Expanding further,
\(=\dfrac{2\times 2 \times a \times a}{2 \times a}\\\\\)
Canceling 2 and a,
= 2a
Hence, the solution of the expression is 2a.
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Answer:
C) 2a
Step-by-step explanation:
Answer this for me thank you
Answer:
c 3
Step-by-step explanation:
my hundreds digit is twice my tens digit, my ones digit is 4 times my hundreds digit. what number am i
Answer:
The number is 218.
2=2×1
8=2×4
f(x) =∛2x g(x)=2x+1 Find (f/g) (x) Include any restrictions on the domain
Answer: ∛2x / 2x+1
x cannot equal -1/2
Step-by-step explanation: f/g means we divide the f function by the g function
so that’s all we do!
then, remember, we can’t divide by 0. so 2x+1 can’t be 0. if we solve that out, we get that x can’t be -1/2, because that would make it 0. there’s our domain restriction!
which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5 7?
The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).
The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.
Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.
According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.
Suppose A and B are two integers;
A × B = B × A
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Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Please answer these three questions!!! FAST!!!!
Answer:
1- 300m
2- 0
3- 15m
Step-by-step explanation:
1- 300m
2- 0
3- 15m
Write 4/5 as a decimal
Answer:
4.5 : i think thats the answer i don't know
A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),
find the value of t. Plz show work
Answer:
Alrighty! So this is what we know:
Slope (m) = (-4)
Co-ordinate (0,3)
Co-ordinate 2 (6,t)
t = ?
Let's find our equation...
y=mx+b <-- just plug what we know in...
3=(-4)0+b
3=0+b
b=3
We just found b! woohoo
Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).
SO-
t=y
plug it in our equation...
y=mx+b
t=(-4)x+3
t=(-4)(6)+3
t=(-24)+3
t=(-21)
SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)
Step-by-step explanation:
A bookstore sells books at 25% profit calculate the percentage of sales price to cost price ?
Answer:
Cost price=100%
Step-by-step explanation:
a normal population has a mean 31 and standard deviation 7. what is the probability that a randomly chosen value will be greater than 18?
Answer:
0.969
Step-by-step explanation:
use the z-score formula to convert the values.
z = (X - υ) / σ
where X is the test statistic, υ is the mean, σ is the standard deviation.
z = (18 - 31) / 7
= -1.857
area in z-score table (this is area to left of <18) is 0.0314.
P(>18) = 1 - 0.0314 = 0.969
what is s for the following function
Answer:
S = 3
S = 5
S = 7
S = 9
Step-by-step explanation:
t = 3s + 2
when t = 11
11 = 3s + 2
11 – 2 = 3s
9 = 3s
s = 3
t = 3s + 2
when t = 17
17 = 3s + 2
17 – 2 = 3s
15 = 3s
s = 5
t = 3s + 2
when t = 23
23 = 3s + 2
23 – 2 = 3s
21 = 3s
s = 7
t = 3s + 2
when t = 29
29 = 3s + 2
29 – 2 = 3s
27 = 3s
s = 9
I HOPE ALL THIS HELPS
RATE AS BRAINLIEST PLS
PLEASE HELP!! I NEED THIS TODAY
Answer:
For 1 carpet they earn 20 dollars so each time they get another carpet they add another 20
per carpet they earn twenty
1=$20
$20 each
2 apples cost 2 dabloons.
How much does 1 apple cost
how much animals have died from plastic in the ocean 2022?
Answer:
we dont know an exact but
Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean
Step-by-step explanation:
Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.
Answer:
over 1 million
Step-by-step explanation:
i answered this question a while ago
can someone help with this inequality question with explanation.Thanks!
Haven't answered an inequality question in a while so this
might be complete bullhonkey.
Answer:
154 minutes of talktime.
Step-by-step explanation:
To find out how many minutes of talktime John can have per month, we need to set up an equation using the information given.
Let x be the number of minutes of talktime John can have per month.
The equation for John's monthly phone bill is:
26.50 + 0.35x = 80
To find the value of x, we can solve for x by subtracting 26.50 from both sides:
0.35x = 53.50
To find the number of minutes, we can divide both sides by 0.35:
x = 153.57
To the nearest whole number, John can have 154 minutes of talktime per month.
if the markup is 15% and the HATS cost $18 list the retail price of one hat
Answer:
$20.70
Step-by-step explanation:
15% of 18 is 2.7
Add 2.7 to the $18
So it's $20.70
!!PLEASE HELP !!
f(x)= |5x+1|-3
g(x)= 4
Find (f-g)(x).
Answer:
(f-g)(x) = |5x + 1| - 7Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = |5x + 1| - 3 - 4 = |5x + 1| - 7
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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HELP DUE IN 10 MINS!
Given that QUAD is a rectangle, find the values of the variables.
1. x = ?? degrees
2. ° y =?? degrees
3. ° z =?? degrees
Answer:
x= 55°
y=70°
z= 35°
Step-by-step explanation:
.................
Answer:
x = 45°
y = 70°
z = 25°
Hope this helps!
Common multiple of 12 and 20
Answer:
4
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
write down the 12 times table
12 , 24, 36, 48, 60, 72, 84, 96, 108, 120
20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.
Write the multiplication table for Z3[x]/(x^2-x)
The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.
The multiplication table is:
| 0 1 x 1+x 2 2+x
-------------------------------
0 | 0 0 0 0 0 0
1 | 0 1 x 1+x 2 2+x
x | 0 x 2x 2+x x 1+2x
1+x| 0 1+x 2+x 2 2+x x
2 | 0 2 x 2+x 1 1+x
2+x| 0 2+x 1+2x x 1+x 2
Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.
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what is 6= -4+z what is the answer to that question
Answer:
z=10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6=z−4
Step 2: Flip the equation.
z−4=6
Step 3: Add 4 to both sides.
z−4+4=6+4
z=10
Answer:
z is 10
Step-by-step explanation:
Move the terms, Calculate, Change the signs
The sum of the lengths of any two sides is greater than the third side, then the given sides will form a triangle.
Apply the theorem statement for the given numbers 10, 7 and 13. Do these numbers form a triangle? Explain
Answer:
Yes, These numbers 10, 7, and 13 can form a triangle
Step-by-step explanation:
The sum of any two sides of a triangle is greater than the third sideLet us use this theorem to solve the question
∵ The numbers are 10, 7, 13
∵ 10 + 7 = 17
∵ 17 > 13
∴ The sum of 10 and 7 is greater than the 3rd number 13
∵ 10 + 13 = 23
∵ 23 > 7
∴ The sum of 10 and 13 is greater than the 3rd number 7
∵ 7 + 13 = 20
∵ 20 > 10
∴ The sum of 7 and 13 is greater than the 3rd number 10
∵ The sum of every two numbers is greater than the 3rd number
→ By using the theorem above
∴ The numbers 10, 7, and 13 can form a triangle
Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol
Answer: C
Step-by-step explanation:
Sandra graphed the system of equations that can be used to solve x cubed minus 2 x squared minus 11 x 12 = x cubed minus 13 x minus 12.
The points on the graph where y equals zero represent the solutions to the original equation.
However, please note that the equation you provided,
\(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\), simplifies to \(-2x^2 + x + 24 = 0\). The original equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\) does not have any variable x terms on the right side, which results in the elimination of all x terms in the simplified equation.
To graph the system of equations that can be used to solve the equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12,\)
we need to rewrite the equation in a form that represents a system of equations.
Rearranging the equation, we get:
\(x^3 - 2x^2 - 11x + 12 - (x^3 - 13x - 12) = 0\)
Simplifying:
\(-2x^2 + 2x - x + 24 = 0\)
Combining like terms:
\(-2x^2 + x + 24 = 0\)
Now, let's represent this equation as a system of equations by setting the left side of the equation equal to y:
\(y = -2x^2 + x + 24\)
We can then graph this equation using a coordinate plane. The x-axis represents the values of x, and the y-axis represents the corresponding values of y.
By plotting points on the graph values based on various of x, we can obtain the graph of the equation\(y = -2x^2 + x + 24.\)
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a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?
Answer:
403 miles
Step-by-step explanation:
500 mph is 500 miles per hour
30 minuites is half an hour, so that is 250 miles west
60 degrees west, 600 miles away
so it is a triagle of 30 60 and 90.
600 is the hypotenuse of the 30 60 90 triangle
we need to find the height of the 30 60 90 triangle
using the special rule, the height is 300
the length of the 30 60 90 triangle is 300rt3
so 300rt3 - 250 is the length of another triangle.
height is still 300
hypotenuse is the distance of the actual area minus the plane's current position
(300^2 + (300rt3-250)^2)^1/2 is about 403.351433
can somebody please help?
Answer:
I believe these are correct
Step-by-step explanation:
1) y-intercept = 1 and slope = 3
2) rate of change is -2/5
3) initial value is 18
4) the barrel will be empty at 45 minutes because every 5 minutes the water decreases by 2 gallons
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plz help!! 20 points!
Avery is painting tables. It takes 1/6 gallon of paint to cover a table. If she has 5/6 of a gallon of paint, how many tables can she cover?
A) Write a division number sentence that relates to your model:
B) Write a multiplication number sentence to check your answer:
C) Show how many tables Avery paints:
2. Avery is painting more tables. It takes 1/4 gallon of paitn to cover a table. IF she has a 5/6 gallon of paint, how many tables can she cover?
A) Write a division number sentence that relates to your model:
B) Write a multiplication number sentence to check your answer:
C) Show how many tables Avery paints:
Answer:
please see analysis
Step-by-step explanation:
You can do this with a proportion. It takes 5/6 of a gallon to paint 1 wall and you want to know how much of a wall can you paint with 1/2 gallon. So set up the proportion:
5/6 / 1 = 1/2 / x
cross multiplying gets you 5/6x = 1/2
multiply by the reciprocal of 5/6 to isolate x - which is 6/5. 1/2 times 6/5 = 3/5