3x + 120° + x + 120° = 360°
4x + 240° = 360°
4x = 120°
x = 30°
y = 1/2 (3x - x)
y = 1/2 (90° - 30°)
y = 1/2 × 60°
y = 30°
Any help please, - What is the area for this?
Answer:
109.18
Step-by-step explanation:
Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles are rolled.
Step-by-step explanation:
The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:
From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.
Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:
P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136
pls help and give only correct answers
Answer:b
Step-by-step explanation:
i took that test
Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a
The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7
What are Algebraic Expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Method to simplify any algebraic Expressions are :
By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants togetherGiven:
=3a²+1/4a+3+a²+4+1/4a
=(3a²+a²)+(1/4a+1/4a)+(3+4)
=4a²+1/2a+7
So the Answer is
=4a²+1/2a+7
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The point (0,0) is located on a line with slope of 3/4. which point could also be located on the line?
Answer:
Below
Step-by-step explanation:
The equation of the line will be y = 3/4 x pick ANY value of 'x' to find the corresponding 'y' value
Say x = 8 then y = 6 8,6 is a point on the line
Answer:
(1 , 0.75)
(2 , 1.5)
(3 , 2.25)
(4 , 3)
(5 , 3.75)
(4 , 3)
(6 , 4.5)
(7 , 5.25)
(8 , 6)
(9 , 6.75)
(10 , 7.5)
(11 , 8.25)
(12 , 9)
Step-by-step explanation:
To find the other points we must put the given information into the slope-intercept form: [tex]y=mx+b[/tex] m = slope and b = y-intercept
[tex]y=\frac{3}{4} x+0[/tex] or [tex]y=\frac{3}{4} x[/tex]
Then just simply start inputting any numbers for x so you can solve for [tex]y=\frac{3}{4} x[/tex] to get the other points of the line.
Only answer if you’re sure :) thank yew
Given m | n, find the value of x and y.
m
(2y+17) (4x-3)°
(7x+18)°
n
Answer:
the first one is scamer
Step-by-step explanation:
help me report that userThe scatter plot shows the number of chin-ups and push-ups completed by a sample of fourth grade students.
What is the median number of chin-ups for all students?
Student Name
Label
Number of Chin-ups and Push-ups
10-
9
А
B
H
B
8
Jared
Tonya
Alex
Rishab
L
D
G
с
7-
F
D
K к
Gao
E
E
А
с
F
Riki
Anne
5-
4-
3
2-
G
Amira
H
12
/
Samuel
Lily
0
J
1
6
8
9
10
Abdu
K
2
Chin-ups
Mike
Answer:
9
Step-by-step explanation:
One did 10,one did 9, and 1 did 8 and 9 is the median number of those 3 numbers.
Answer:
Abdu, Tonya, Gao, Lily, Mike, Rishab
Step-by-step explanation:
Rewrite 12x4y3 − 48x3y4 using a common factor.
Answer: 12x^3 y^3 (x − 4y)
(GCF is: 12x^3 y^3)
Step-by-step explanation:
This is the best I can do, sorry that I don't have an explanation.
write the equation 0.3x^2+5x-7=0 in standard form and then choose the value of “b”
70
50
5
Answer:
b = 5
Step-by-step explanation:
The given equation is :
[tex]0.3x^2+5x-7=0[/tex] .......(1)
It is in the form of quadratic equation. The general form of a quadratic equation is as follows :
[tex]ax^2+bx+c=0[/tex] .....(2)
Comparing equations (1) and (2), we get :
a = 0.3, b = 5 and c = -7
Hence, the value of b is equal to 5.
Can someone solve this?
Answer:
u=4
v=2√3
Step-by-step explanation:
The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, u, is 4.
The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, v, is 2√3.
Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?
Answer: 35 would be the median
Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median
Answer:
35
Step-by-step explanation:
The median is the middle price when listed from smallest to largest
31, 34, 35, 48, 50
The middle price is 35
The median is 35
If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
Answer:
b.) x= 6, m∠XOY= 18
Step-by-step explanation:
comment if u need explanation :))
Suppose f is a function. If f(6) = -9, give an ordered pair of numbers that is a solution of the function.
The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,
What is an equation?An equation is an expression relating numbers and variables.
A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable
A solution to a function is the values of the variable that makes the equation true.
Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)
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Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.90
Step-by-step explanation:
[tex]\frac{4}{10}=0.4[/tex]
3 dozen = 36
[tex]\frac{36}{0.4} =\frac{y}{0.1}[/tex]
0.4 × y = 36 × 0.1
0.4y = 3.6
0.4y ÷ 0.4 = 3.6 ÷ 0.4
y = 9
solve y=(1/2)x exponential graph
The value of the exponential graph y = ( 1/2 )ˣ is graphed
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
y = ( 1/2 )ˣ be equation (1)
On simplifying the equation , we get
y = 1 / (2ˣ)
Now , the graph of the function y = ( 1/2 )ˣ will be a slanting line which will not touch the x axis and passes through the point y = 1
The graph of the function y = ( 1/2 )ˣ is given below
Hence , the function is solved and the graph is plotted
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1+1+1+1=4
2+2+2+2=16
3+3+3+3=?
Answer:
12
Step-by-step explanation:
Please please help!!!!
Answer:
280 inches
Step-by-step explanation:
8 x 8 = 64
9 × 24 = 216
64 + 216 = 280
Solve this math problem.
Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.
Here,
Given : 5/8 X 4/3
=> 5/8 X 4/3 = 20/24
on condensing,
10/12 = 5/6
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he average movie admission price for a recent year was $7.18. The population variance was 3.81. A random sample of 15 theater admission prices had a mean of $8.02 with a standard deviation of $2.08. At α = 0.05, is there sufficient evidence to conclude a difference from the population variance? Assume the variable is normally distributed.
Answer:
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Step-by-step explanation:
The data given is
Population mean μ= $ 7.18
Population variance= σ²= 3.81
Population Standard Deviation = √σ²= √3.81= 1.952
Sample Mean= x`= $ 8.02
Sample Standard Deviation =s = $ 2.08
Sample Size = 15
Significance Level = ∝= 0.05
The null and alternate hypotheses are
H0: σ1=σ2 against the claim that Ha: σ1≠ σ2
where σ1 is the population variance and
σ2 is the sample variance
The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05
The test statistic z is used
z= x`- μ/ σ/√n
Putting the values
Z= 8.02-7.18/1.952/√15
z= 0.84/0.51599
z= 1.6279
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
What is 46-2004asdfgh
Answer:
if it is 46-2004 then the answer is -1958
Step-by-step explanation:
What is 46% of 388
Please help me
Answer:
178.48
Step-by-step explanation:
We are asked what is 46 percent out of 388.
To solve this, we need to follow the formula when finding the percentage of a number.
P being the percentage
X being the number
Y being the answer, the forumla is
Y = P * X
Substitute :
Y = 46% * 388
Convert the percentage into a decimal,
46%/100
0.46
Y = 0.46 * 388
Multiply :
178.48 = 0.46 * 388
178.48
your welcome btw
a tee junction occurs when a connection meets an existing pipe of header at what angle? A 180 degree, B 30 degree, C. 90 degree, D.45 degree
Tee welding joints are formed when two members intersect at a 90-degree angle that makes the edges come together in the center of a plate or component
describe the translation of the figure ABCD. Complete the sentence to explain your answer
Convert the polar representation of this complex number into its rectangular form: z=4(cos120 + isin 120)
Please help!!! I will mark brainliest!!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
took the test
The polar expression of a complex number in its rectangular form 4(cos120° + i sin120°) = -2 + 2√3 i.
What is the polar form of a complex number?Let Z = a + ib be a complex number in the cartesian form represented by point P(a, b) in the complex plane then Z = r cos∅ + i r sin∅ =r is called the polar form of a complex number.
We have.
z = 4(cos120° + i sin120°)
z = 4(cos(90 + 30)° + i sin(90 + 30)°)
Using trigonometry
cos (90 + ∅) = -sin ∅ and sin (90 + ∅) = -cos ∅
So, 4( -sin (30)° + i cos (30)°)
= 4 ( -1/2 + i √3/2)
= -4(-1/2) + i 4(√3/2)
= -2 + 2√3 i
Thus, the rectangular form is 4(cos120° + i sin120°) = -2 + 2√3 i.
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a rectangular table is 5 1/4 feet by 3 3/4feet. what is the area of the table?
Answer:Area = Length times Width
5 1/4 times 3 3/4
5 x 4 + 1 = 21
21/4
3 x 4 +3 = 15
15/4
21/4 x 15/4 = 315 / 16 or 19 11/16 ft^2
Step-by-step explanation:
Length of insect is 23mm and length of drawing is 85mm. So what is Magnification
Answer:
The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.
To find the magnification, we can divide the size of the image by the size of the object:
Magnification = size of image / size of object
Plugging in the values, we have:
Magnification = 85mm / 23mm
Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.
Step-by-step explanation:
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected 27 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful
Answer:
Read step by step explanation
Step-by-step explanation:
The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude
1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project
2.-As sample size is smaller than 30 the test has to be t-student one tail test to the left
Test hypothesis
Null hypothesis H₀ x = 38
Alternative hypothesis Hₐ x < 38
We should test at a significance level α = 0,05 (α = 5%)
If the result of the test is to accept H₀ delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.
the ratio of the number of goat to the number of sheep is 3:1. The sheep are 10 in numbers. how many goats are in the gardens and many animals are there?
Answer:
30 goats, and 40 animals
Step-by-step explanation:
so since the problem says 10 goats are in the garden, and the ratio of sheep to goats is 3:1 you do 3*10. it's basically saying for every 1 goat you have 3 sheep. so if you take away the 0 from 30 and 10 you get 3:1. : )
Two lines, A and B, are represented by equations given below:
Line A: y = x − 2
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
Group of answer choices:
A) (−3, −5), because the point does not lie on any axis
B) (−3, −5), because the point satisfies both equations
C) (−4, −8), because the point satisfies one of the equations
D) (−4, −8), because the point lies between the two axes