Answer: ∡1 = 153°
∡2 = 27°
Step-by-step explanation:
Answer:
angle 2=27°
angle 1= 153°
Step-by-step explanation:
6x-9+x=180
7x-9=180
7x=189
x=27
angle 2=27°
angle 1= 27×6-9=153°
angle 1= 153°
Share your own multi-step combination problem
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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13/x = 2/2-x
enter the value of x that makes the equation true
Answer:
26/15
Step-by-step explanation:
13/x= 2/2-x
the next step from here is to cross multiply and when we do that it's looks like this
13(2-x)=2*x
then we multiply
26-13x=2x
we then collect like terms
26=15x
therefore x= 26/15
we can leave our answer in this format or convert it to mixed fraction or decimal but its best to leave it in this format
Two or more expressions with an Equal sign is called as Equation. Value of x is 26/15 for equation 13/x=2/(2-x)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
13/x=2/(2-x)
Apply cross multiplication
13(2-x)=2x
Apply Distributive property on LHS side
13(2)-13x=2x
26-13x=2x
Add 13x on both sides
26-13x+13x=2x+13x
26=15x
x=26/15
Hence value of x is 26/15 for equation 13/x=2/(2-x)
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can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)
Answer:
Step-by-step explanation:
There is no question to help with? Maybe ask your teacher or computer guy.
6
N
4
2
X
Y
-6
-4
X
-2
2
6
W
-6
Which proportion can be used to show the slope of V X is equal to the slope of XZ?
*
A
1 - 5
1 – 2
5-1
3-1
B) 1 1-(-5)
1- (-2)
5-1
3 - 1
©
-2-(-5)
-
2-1
5-1
3 - 1
D1-(-2)
1- (-5)
3 - 1
5-1
On a map, 1 inch equals 16.3 miles. If two cities are 1.5 inches apart on the map, how far are they actually apart?
Answer: 24.45 miles apart
Step-by-step explanation:
because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45
Joni wants to measure the degree to which male college students belong to the political left (liberal). She decides simply to measure the length of male college students hair using a ruler. Her hypothesis is that longer hair will mean more left-wing (liberal) beliefs.
Required:
a. Is this method likely to be reliable? Why?
b. This measurement appears to be invalid. Why?
c. Nevertheless, it is possible that measuring politics by hair length might have some predictive validity. Explain how this could happen.
Answer:
It is explained below
Step-by-step explanation:
Taking into account the required points we can say the following:
In this case measuring the duration of hair is reliable. The purpose for my opinion is that regardless of how often Joni will degree a persons hair the effects will always be more or less the same. There fore, we are able to rely on the fact that the outcomes may be similar this method is reliable. On the other hand, this technique isn't valid, due to the fact the length of a persons' hair has nothing to do with political opinion. The prediction theory that occurs to me with respect to the model is that the longer the person's hair is, the more they tend to be liberal, due to the rebellious thinking of the left-wing.
find the square root of 7
The value of the square root of 7 is,
⇒ √7 = 2.645
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
WE have to given that;
To find the value of the square root of 7 .
Since, the square root of 7 is,
⇒ √ 7
⇒ 2.645
Thus, The value of the square root of 7 is,
⇒ √7 = 2.645
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Which of the following is the formula used to calculate the variance of a set
of data?
The formula used to calculate the variance of a set of data is Variance = \(s^2\)=1n−1n∑i=1(xi−¯x\()^2\).(Option-A)
To calculate the variance, each data point is subtracted from the mean, squared, and then added together. This gives the sum of the squared deviations from the mean. This sum is then divided by the total number of data points to get the average squared deviation from the mean, which is the variance.
Variance is a measure of the spread or variability of a set of data. It is useful in statistical analysis to understand how much the data points differ from the mean, and to compare different sets of data. Lower variance values indicate that the data is more tightly clustered around the mean, while higher variance values indicate that the data is more spread out.(option-A)
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a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Answer:
The power of horse is: P = 72000 W
Step-by-step explanation:
Given
F = 1800 Nv = 40.0 m/sTo determine
P = ?
Using the formula
\(\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}\)
The ⋅ in the formula represents a scalar product, defined by:
\(\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta\)
The angle Ф is zero because F and v are are parallel.
Thus the cosine is 1.
Therefore,
P = (1800) (40.0)
P = 72000 W
Hence, the power of horse is: P = 72000 W
A triangle, ABC, has angle measures of 40, 40', and 100' and exactly two congruent (equal) sides. How would
this triangle be classified?
Using triangle classifications, it is found that it would be classified as an isosceles triangle.
How are triangles classified?A triangle is scalene if none of it's lengths and angles are equalA triangle is isosceles if two of it's lengths and angles are equal.A triangle is equilateral if all of it's lengths and angles are equal.In this problem, it has two equal sides/angles, hence, it is classified as an isosceles triangle.
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Who dunnit in math there is 10 problems
Answer:
make it make sense
Step-by-step explanation:
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
The correct answer is:
O Yes; 7/56 and 48/6 are proportional because 7 * 6 = 48 * 56.
How to find the correct optionTo determine if the truck can travel 48 miles with 6 gallons of fuel, we can compare the ratios of fuel consumption to distance traveled.
Given that the truck needs 7 gallons of fuel to travel 56 miles, we can express this as the ratio 7/56 (gallons/miles).
If we compare it to the second scenario where the truck is traveling 48 miles, we can express it as the ratio 6/48 (gallons/miles).
To check if they are proportional, we can cross-multiply: 7 * 48 = 6 * 56. If the cross-multiplication results in equal values, then the ratios are proportional.
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Solve.
log3 (2x + 5) = 3
Enter your answer in the box.
X = ?
Answer:
x = 11
Step-by-step explanation:
using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
given
\(log_{3}\) (2x + 5) = 3 , then
2x + 5 = 3³ = 27 ( subtract 5 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Which graph shows the solution to the following system of inequalities? {x+y>4 x+y<3
The graph of the two inequalities {x+y>4} and {x+y<3} is attached with the answer below.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequalities are:-
{ x + y > 4 }
{ x + y < 3 }
We can see that inequality shows the open curve above the line x + y =4 and shows the open curve below the line x+y=3. So the two inequalities do not have any relation.
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Answer:A
Step-by-step explanation:
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
help fill in the chart
i need to solve this so can you pls hlp
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)
Subtract the complex numbers: (-2 + 12i) - (-1 - 9i)
A) -1 + 3i
B) -3 + 3i
C) -1 + 21i
D) -3 + 21i
9514 1404 393
Answer:
C) -1 +21i
Step-by-step explanation:
For many purposes, "i" can be treated as though it is a variable. Collect terms in the usual way.
(-2 +12i) -(-1 -9i) . . . . given
= -2 +12i +1 +9i . . . . use the distributive property to eliminate parentheses
= (-2+1) +(12i +9i) . . . group like terms
= -1 +21i
Answer:
B. -3 + 3i
Step-by-step explanation:
Using the foil method:
-2 - 1 = -3
12i - 9i = 3i
= -3 + 3i
Can anyone help me out with this answer
Answer:
D.
Step-by-step explanation:
at + ab = c
subtract ab from both sides
at= c - ab
divide a from both sides
t = c - ab/a
Combine terms 7x3 + 2x - 5x2 + 6 + x + 9 + 3x3 + 12x2
Answer:
10x^3 + 7x^2 + 3x + 15
Step-by-step explanation:
hope this helps have good day.
Answer:
the fellow is correct
Step-by-step explanation:
I would have done it but without the symbols I can't
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Simplify.
4a(6) + 3a
24 a2 + 3 a
13 a
27 a
27 a2
Answer:
24a + 3a
27a
we didn't multiply a since it is addition so it can not be a²
please give brainiest
Answer:
27a
Step-by-step explanation:
Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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help possible branliest
Answer:
1.81
2.2^7
3. 4^5
4. 2^9
5. 1
6. 4^5
7. 6
8. 3^8
9. 15^0
10. 2^3
11. 3^2
12. 216
13. 5^3
14. 225
15. 343
16. 11^2
17. 625
18. 5^4
19. 169
20. 10^4
Step-by-step explanation:
Given the diagram below, what is tan (60°)?
5
60°
30°
Triangle not drawn to scale
OA. √5
OB. 5√2
O
C. √3
OD.
.
The value of tan(60°) is √3, and option C is correct.
In order to find the value of tan(60°) using the given diagram, we need to use the tangent formula which is:tan(x) = opposite / adjacentIn the case of the given diagram, we can see that the angle we're interested in is 60°, and the side opposite the angle is the length of the line marked "√3" and the side adjacent to the angle is the length of the line marked "1".Thus, we can plug in these values into the formula:tan(60°) = opposite / adjacenttan(60°) = √3 / 1tan(60°) = √3.
The value of tan(60°) is √3, and option C is correct.
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PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
PLEASE ANSWER AND HELP
Anissa plans to save for a pir of
headphones that are $85.00. The sales
tax rate is 8%. How much will Anissa
need to save?
Why is FOQZ the odd one out in
these sets of letters?
BCDEGPTV AJK FOQZ IY
The odd one out in the set is "FOQZ." It deviates from the pattern by the other sets, where the letters are arranged in Alphabetical order.
The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.
In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.
Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.
It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.
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Which set of points represents a nonlinear function?
A (-3,-6) (0,1) (3,8)
B (-2,2) (0,0) (2,2)
C (0,4) (3,3) (6,2)
D (8,0) (9,1) (10, 2)
Answer:
The answer would be B.
Step-by-step explanation:
(-2,2)(0,0)(2,2) represents a nonlinear function.