1) Find the area of the traingle
According to the question here we are given that the adjacent is 13 cm while the opposite is 10 cm
For this we need to use the general formula for getting the area
Area = ½ × adjacent × opposite
Area = ½ × 13 × 10 Area = 13(5) Area = 65 cm²Hence, the area is 65 cm²
2) If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC
Now, as per the diagram ∠AOB and ∠BOC together makes ∠AOC
So,
∠AOB + ∠BOC = ∠AOC 32° + 17° = ∠AOC ∠AOC = 49°Hence, the answer is 49°
3) Find the measure of each angle and justify your work
m∠1 = x + 10°
m∠2 = 3x + 18°
According to the diagram we can observe that a ray is drawn between ∠1 and ∠2. So, we for gettin x we need to apply using linear pair [name of the theorem]
In linear pair two angles makes 180°
So, adding two angles we get 180° and from there we can get x
∠1 + ∠2 = 180° x + 10° + 3x + 18° = 180° 4x + 28° = 180° 4x = 180° - 28° 4x = 152° x = 152/4 x = 38°So, if you need to get ∠1 and ∠2 here it's!
∠1 = x + 10° = 38° + 10° = 48°
∠2 = 3x + 18° = 3(38°) + 18° = 114° + 18° = 132°
4) AB + BC = AC is justified by which option below
Here the answer would be the third option
Segment Addition Postulate is the answer
5) What is the value of x ?
Here two lines are drawn and a line n which passes through l and m
So, on l we get 5x + 10
and on m we get 3x + 2
Now, as we can see that they are alternate angles
So, using the property we can get the value of x
As we know that alternate angles equal each other. So,
l = m5x + 10 = 3x + 2 5x - 3x = 2 - 10 2x = -8x = -4Hence, the value of x is -4 which is the last option
Someone help meeee :))
Answer:
Step-by-step explanation:
1) 3x + y = 3
y = -3x + 3
When x = 0 ; y = 0 +3 = 3 (0 , 3)
When x = 1 ; y = -3*1 + 3 = -3 + 3 = 0 (1 , 0)
When x = 2 ; y = -3*2 + 3 = -6 +3 = -3 (2 , -3)
Plot the points (0 ,3 ) ; (1 ,0) and (2 , -3) in the graph and join them
2) y = x + 3
When x = 0 ; y = 0 +3 = 3 (0 , 3)
When x = 1 ; y = 1 + 3 = 4 (1 , 4)
When x = -3 ; y = - 3 + 3 = 0 (-3 , 0)
Plot the points (0,3) , (1, 4) and (-3 , 0) in the graph and join them
3) Plug in (4 , y) int he equation
y = x + 5
y = 4 + 5
y = 9
y = 9
5) 2x + y = 3
At x-intercept y = 0
2x + 0 = 3
2x = 3
x = 3/2
How to solve examples c) d) ?
Factorial sums
Recall the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
a. Let a = b = 1 and n = 8. Then the sum above gives the sum shown here,
[tex]\displaystyle \sum_{k=0}^8 \binom8k 1^{n-k} 1^k = \sum_{k=0}^8 \binom8k[/tex]
so it reduces to (1 + 1)⁸ = 2⁸ = 256.
b. Let a = 1 and b = -1 and k = 8. Then by the same argument, the sum reduces to (1 - 1)⁸ = 0.
c. Notice that
[tex]\displaystyle \sum_{j=0}^n \binom n{n-j} = \binom nn + \binom n{n-1} + \binom n{n-2} + \cdots \binom n2 + \binom n1 + \binom n0[/tex]
but this is nearly identical to the sum in part a, with a = b = 1 and arbitrary n, but the order of terms is reversed. Then it reduces to (1 + 1)ⁿ = 2ⁿ.
d. Let a = 1 and b = 2. Then the sum is (1 + 2)ⁿ = 3ⁿ.
Perform the operations indicated choose the correct answer 14+29
Answer:
14+29=43
Step-by-step explanation:just add it
For question 1 please look at the image below
Answer:
Step-by-step explanation:
a) Number of families having income between $ 20000 - $ 40000 = 100
b) Number of families having income less than $40000 = 100 + 40 = 140
PLEASE HELP MEEEEEEE
Answer:
PLEASE HELP MEEEEEEE TOOOOOOO
Round 16.4829 to the nearest hundredth
Answer:
16.48
Step-by-step explanation:
The round off of 16.4829 to the nearest hundredth is 16.48.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
16.4829
You rounded to the nearest hundredths place.
The 8 in the hundredths place rounds down to 8, or stays the same,
because the digit to the right in the thousandths place is 2.
and, When the digit to the right is less than 5 we round toward 0.
So, 16.4829 was rounded down toward zero to 16.48.
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Find the value of 4 + (27 - 12 ∙ 2) ÷ 2.
19
5.5
3.5
Answer:
5.5
Step-by-step explanation:
What is the greatest common factor in the least common multiplication 8 and 12
Answer:
12 is the answer.....
12 is the answer.....
Step-by-step explanation:
12 is the answer.....
12 is the answer.....
12 is the answer.....12 is the answer.....12 is the answer.....12 is the answer.....
Answer:
Answer: 4
Step-by-step explanation:
Answer: GCF of 8 and 12 is 4.
Solve equation. Show steps
8+x=4x+2
Answer:
x=2
Step-by-step explanation:
8 + x = 4x +2
Subtract 4x from both sides:
8 + x - 4x = 4x + 2 - 4x
Group like terms:
x - 4x + 8 = 4x + 2 -4x
Simplify the arithmetic:
-3x + 8 = 4x + 2 -4x
Group like terms:
-3 + 8 = 4x - 4x + 2
Simplify the arithmetic:
-3x + 8 = 2
An online music store charges $1.15 for each song after you pay a $22 subscription fee. Write a function that represents the
arithmetic sequence. How many songs can you buy if you have $35 to spend?
Answer:
y = 1.15x + 22
HELP ME WITH THIS PLS
Answer:
1033.765625
Step-by-step explanation:
I think it’s bottom left
Answer:
10^(4)*4^(5) or 10 to the 4th power by 4 to the 5th power
Step-by-step explanation:
When simplified, both equal to 10240000.
Formen equipos de tres integrantes y realicen un proyecto en el que expresen mediante una ecuación lineal el tiempo que demoraran en reunir 10000 pesos para fundar la Sociedad Cultural Digital, si saben que los meses que tienen 31 dias sus padres donan un tercio de la cantidad total para el ahorro, mientras que en los de 30 dias logran ahorrar dos tercios de la cantidad final. En cuantos meses podrán reunir la cantidad deseada
Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.
En este caso, debemos construir una ecuación lineal en forma implícita, es decir, una ecuación de la forma:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Donde:
[tex]a, b[/tex] - Coeficientes de proporción de ahorro.[tex]c[/tex] - Coeficiente de proporción total del ahorro.[tex]x[/tex] - Cantidad de meses de 31 días.[tex]y[/tex] - Cantidad de meses de 30 días.Si sabemos que la solución consiste únicamente en números naturales y si [tex]a = \frac{1}{3}[/tex], [tex]b = \frac{2}{3}[/tex] y [tex]c = 1[/tex], entonces tenemos la única solución disponible:
[tex]\frac{1}{3}\cdot x + \frac{2}{3}\cdot y = 1[/tex]
[tex]x + 2\cdot y = 3[/tex]
[tex]2\cdot y = 3 - x[/tex]
[tex]y = \frac{3}{2}-\frac{1}{2}\cdot x[/tex]
[tex](x, y) = (1, 1)[/tex]
Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.
Invitamos cordialmente a ver esta pregunta sobre sistemas de ecuaciones: https://brainly.com/question/12149981
18644375453294435X37467634363627
Answer:
What is this???
Step-by-step explanation:
Did you bang your head on your keyboard or something lol?
If this is what you mean: ⤵⤵⤵
18,644,375,453,294,435 × 37,467,634,363,627
-then the answer's 698,560,642,422,218,297,771,885,515,745
It's really long but this number is essentially about 698 octillion.
I'm sorry if this isn't what you wanted, but hope this answered your question :)
factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
1 Probably: a) between $20,000 and $40,000
Answer:
there is not enough info to answer the question
Step-by-step explanation:
can you repost it?
Please Help!!! I will try to give brainliest!!!
Answer:
discrete
D {1,2,3,4,5,6,7}
R {5,6,7}
function
Step-by-step explanation:
graph is discrete because it is plotted for some values/numbers of input only
not like a continuous one
D {1,2,3,4,5,6,7} all the inputs
R {5,6,7} output range
A graph becomes a function if for a given x value there is a distinct/one y value
so here it is a function
PLEASE HELP! Economics
Answer: C. an increase in prices for domestically produced watermelons.
Evaluate the expression for x = 8
x + 5
5
8
3
13
Answer:
1st one
Step-by-step explanation:
:) pls mark brainliest
Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot
The length of the zipline is found using Pythagoras's theorem, which gives
the length of the hypotenuse side of a right triangle.
Length of the zipline is approximately 71.56 feetReasons:
Height at which the zipline will be tied to one of the trees = 42 feet
Height at which the zipline will be tied to the other tree = 3 feet
The distance between the trees = 60 feet
Required:
The length of the zipline
Solution:
The length of the zipline is found as follows;
Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)
The coordinates of the other tying point = (60, 3)
The in the imagined right triangle formed by the zipline and the distance
between the trees, the length of the zipline is given by Pythagoras theorem
as follows;
Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56
Length of the zipline ≈ 71.56 ft.
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write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
Help before I die please
Answer:
Ya no way in hell am I doing that srry :l
Step-by-step explanation:
:l
Sam started with savings of $2,500 and adds $40 to his savings each week. Marshall started with $7,300 in savings and spends $60 of his savings each week. After how many weeks will both Sam and Marshall have the same amount of savings in their accounts?
The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
Given:
Amount with Sam = $2,500
Additional savings each week = $40
Amount with Marshal = $7,300
Amount spent each week = $60
let
x = number of weeks
Sam equation:
2500 + 40x
Marshall's equation:
7300 - 60x
Equate both
2500 + 40x = 7300 - 60x
collect like terms
2500 - 7300 = - 60x - 40x
-4800 = -100x
divide both sides by - 100
x = -4800 / -100
x = 48 weeks
Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
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What is the probability of
spinning a yellow?
Answer:
is 2/8
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
when the mortgage is completely paid off for Mark and Lynn's house, it will be 5 times as old as it is now. if they have 24 years left on the mortgage, how old is the house right now?
Answer:
vCan be done using arithmetic will be too long for braily check you89 55vw]vw
StCan be done using arithmetic will be too long for braily check you89 55ep-by-step explanation:
Can be done using arithmetic will be too long for braily check you89 55Can be done using arithmetic will be too long for braily check you89 Can be done using arithmetic will be too long for braily check you89 5555Can be done using arithmetic will be too long for braily check you89 55
The house is right now 6years old.
What is linear equation?
" Linear equation is defined as the algebraic expression of one or more variables with highest power equals to one."
According to the question,
'x' represents the present age of house
'y' represents the years left on the mortgage
Given,
y = 24years
As per the condition given linear equation we get,
x + y = 5x
⇒x + 24 = 5x
⇒5x - x = 24
⇒4x = 24
⇒x = 24 / 4
⇒x= 6years old
Hence, The house is right now 6years old.
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What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
I really need help on this problem
Answer:
64??
Step-by-step explanation:
If not I'm sorry I tried :)
The amount of money invested or borrowed is known as:
O A. simple interest.
О B. interest
O c. principal
O D. period
What is the product of the 4th square number and the 2nd square number?
Answer: 64
Step-by-step explanation:
Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. how much time does it take Johnny to walk home than to school?
Each marble bag sold by Rafael's Marble Company contains 6 green marbles for every 5 yellow marbles. If a bag has 54 green
marbles, how many yellow marbles does it contain?
Answer:
45 Yellow marbles
Step-by-step explanation:
6 x 9 = 54
5 x 9 = 45
I hope it helped