The exterior angles in the given triangle are angles 4 and 5.
What are the exterior angles?
The given shape is a triangle. A triangle is a three-sided polygon that has angles that sum up to 180 degrees. The exterior angle is the angle that is formed when a line is extended from the next side and the other side of the triangle. Simply put, it is the angle that is not inside the triangle.
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Theo's friend made a display with dimensions that were each half as long as those theo used. what is the approximate mass of theo's friends display
Answer:
great question buddy and I wish you the most
Step-by-step explanation:
x-y=b^2/2=2
The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature
please please help needs to be submitted in 15 minutes!!!
Answer:
Volume of prism 1: 104 cubic inches
Surface area of prism 2: 650 square inches
Step-by-step explanation:
To find the volume of prism 1, set up a proportion using the side lengths and the volume of prism 2.
The ratio of the side lengths will be your scale factor. When finding volume using scale factor, you need to cube the scale factor. The numerator in the proportion are from prism 1 and the denominator is prism 2. Prism 1 is the numerator since it is the new image and we are solving for it's volume.
[tex](\frac {4}{10}) ^{3} =\frac{x}{1625} \\\\\frac{64}{1000} =\frac{x}{1625} \\\\[/tex]
[tex]1000x=104000\\\frac{1000x}{1000} =\frac{104000}{1000} \\x = 104[/tex]
To find the surface area of Prism 2, we are going to setup another proportion, but this time we are going to square the scale factor since we are finding area. Prism 2 will be the numerator and prism 1 will be the denominator.
[tex](\frac{10}{4} )^2 = \frac{x}{104} \\\frac{100}{16} =\frac{x}{104} \\16x=10400\\\frac{16x}{16}=\frac{10400}{16}\\ x= 650[/tex]
Trey deposits 5000 into an account that pays simple interest at an annual rate of 2%. he does not make any more deposits. he makes no withdrawals until the end of 6 years when he withdraws all the money
The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600
How to calculate simple interest?Principal = 5,000Rate = 2%= 2/100
= 0.02
Time = 6 yearsSimple interest = principal × rate × time
= 5000 × 0.02 × 6
= 600
Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600
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Use the function below to find F(-2).
F(x) = 3x
A 1/6
B -9
C -6
D 1/9
Answer:
-6
Step-by-step explanation:
we can put the value of x as -2 cause f(-2) we can substitute the value...
f(-2)= 3*-2
-6
Which is the equation of the parabola with focus (6, 2) and vertex (6, –4)?
Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).
How to determine the equation of this parabola?Mathematically, the standard equation with the vertex for a parabola is given by:
(y - k)² = 4a(x - h) for horizontal parabola.
(x - h)² = 4a(y - k) for vertical parabola.
where:
h and k are the vertex.a is a point.By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.
Given the following data:
Focus with points = (6, 2).
Vertex (h, k) = (6, –4).
Note: a = 2 - (-4) = 2 + 4 = 6.
Substituting the given parameters into the formula, we have;
(x - 6)² = 4 × 4(y - (-4))
(x - 6)² = 16(y + 4).
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Which of the following is an identity?
sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.
What is a Trigonometric Identity ?Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.
There are four Identities Given
Among them Option C is an Identity because on solving it
sin²x sec²x +1 = tan²x cosec²x
(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)
sin²x +cos²x = 1
Which is an Identity and
therefore Option C is an Identity.
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Today only a table is being sold for $364.89. This is 38% of its regular price. What was the price yesterday
Answer:
$960.24
Step-by-step explanation:
Hello!
Let the regular price be x.
38% of x = 0.38x
0.38x = 364.89
Solve for x0.38x = 364.89x = 364.89/0.38x = 960.2368421053 ≈ 960.24The price of the table yesterday was around $960.24.
A. 56
B. 154
C. 210
D. 252
Option A
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 16 subjects had a mean wake time of 100.0 min. After treatment, the 16 subjects had a mean wake time of 75.5 min and a standard deviation of 24.2 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 100.0 min before the treatment? Does the drug appear to be effective?
Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment.
The 95% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).
Given the following data:
Mean wake time = 75.5 min.Standard deviation = 24.2 min. Number of sample, n = 16.How to construct a 95% confidence interval?Mathematically, a confidence interval of 95% is given by;
α = 1 - 0.95
α = 0.05.
α/2 = 0.05/2 = 0.025.
Also, the degrees of freedom (df) is given by:
Degrees of freedom (df) = n - 1
Degrees of freedom (df) = 16 - 1
Degrees of freedom (df) = 15.
From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.
Mathematically, the confidence interval for mean is given by:
Mean ± (t-critical × (standard deviation/√(sample size)))
75.5 ± (2.131 × (24.2/√(16))
75.5 ± (2.131 × 6.05)
For the upper end, we have:
75.5 + 12.89 = 88.39
For the lower end, we have:
75.5 - 12.89 = 62.61.
In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.
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Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?
Answer:
40 tables
Step-by-step explanation:
I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.
factor this polynomial completely x2 - x - 20
Answer:
(x+4)(x-5)
Step-by-step explanation:
We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)
Answer:
(x +5) (x -4)
Step-by-step explanation:
Factors of 20:
1,20
2,10
4,5
4 and 5 combine to create 1
+5 -4 = 1
(x +5) (x -4)
Which shapes have the same volume at the given rectangular priam?
Som
base area-50 or
15 on
D
base area-50 cm
Son
base area-50 cm²
24 cm
base area- 50 cm
18 cm
4+-+-
base area-50 cm
Answer:
Cylinder
Step-by-step explanation:
Area of rectangular prism = base area * height
= 50 * 5
= 250 square cm
Area of cylinder = base area * height
= 50 * 5
= 250 square cm
EASY POINTS
Which answer represents the following conditional statement in shorthand?
Answer:
B
Step-by-step explanation:
if it is warm the Megan is swimming
6x^2 + 2x-20/ 4x-2 simplify
Answer:
6x^2-3x-2
Step-by-step explanation:
6x^2 + 2x - 20 / 4 x x - 2
6x^2 + 2x - 5x - 2
6x^2 -3x - 2
84102 - 1052=?
pasagot po pls with solution
Answer:
83050
Step-by-step explanation:
that's the answer to the question
Solve this problem, and identify the percent, amount, and base. What percent 60 of 15 is ?
Answer:
Step-by-step explanation:
'
I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
-6x +3>-39
sombody pls do this problem
Answer:
x>-7
Step-by-step explanation:
Answer:
x>-7
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
2. Which statement about like terms is true?
O All equations have like terms.
Only equations with the variable x have like terms.
O Some equations do not have like terms.
O No equations have like terms.
Answer:
All equations have like terms
A bag contains 100 marbles which are red, green, and blue.
Suppose a student randomly selects a marble without looking,
records the color, and then places the marble back in the bag.
The student has recorded 7 red marbles, 2 green marbles and
11 blue marbles. Predict how many blue marbles are in the
bag.
Voir can earn 5 coins
Answer:
Step-by-step explanation:
Remark
The ratio you would use is 7 to 2 to 11
The question is what you you have to multiply these ratios by so the products when added come to 100?
Equation
7*x + 2*x + 11*x = 100 Combine the terms on the left
Solution
20x = 100 Divide both sides by 20
20x/20 = 100/20
x = 5
Red: 7 * 5 = 35Green: 2 * 5 = 10Blue: 11*5 = 55Total 100Answer: 55 blue marbles were in the bag.
Answer: 2
Step-by-step explanation:
PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.
Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31
PART B
The answer you just figured out find out how much cents that equals in dollars
A 5000
B 2123
C 3282
D 3921
Answer:
its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A
Step-by-step explanation:
Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63
The value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90
How to evaluate the expression?The expression is given as:
5x – 2y + (7x – y)
Substitute x = 7 and y = –2 in the above expression
5 * 7 - 2 * -2 + (7 * 7 + 2)
Evaluate the expression
90
Hence, the value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90
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Choose the correct answer below:
A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities
Answer:
C
Step-by-step explanation:
The answer would have to be C cus it can't be A or D
Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).
The equation of line CD is y =
Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."
Formula used
[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)
Substitute the value to get the slope of line AB we get,
[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]
⇒ [tex]m_{1} = \frac{-2}{8}[/tex]
[tex]= \frac{-1}{4}[/tex]
Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)
Substitute the value to get the slope of line CD we get,
[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]
Lines AB and CD are parallel.
Slope of parallel lines are equal.
Therefore,
[tex]m_{2} = m_{1}[/tex]
⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]
⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]
⇒ [tex]y = \frac{-x}{4} +7[/tex]
Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
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Nadia has a handful of coins all of which are either dimes or quarters she has a total of 23 coins in her hand and a total of $3.65 worth of coins let D equal the number of dimes Nadia has and like Q represent the number of quarters she has. Must model the solution and show work.
Nadia cannot have 18 dimes and 5 quarters.
The equations that represent the question are:
D + Q = 23 equation 1
0.1d + 0.25q = 3.65 equation 2
The number of dimes is 14 and the number of quarters is 9.
Can Nadia have 18 dimes and 5 quarters?
The equation that represents the total amount of money she has is: 0.1d + 0.25q = 3.65
0.1(18) + 0.25(5) = 3.05
$3.05 is less than 3.65
What are the system of equations that models the situation?D + Q = 23 equation 1
0.1d + 0.25q = 3.65 equation 2
What is the solution to the equation?
Given the above equations, multiply equation 1 by 0.1
0.1d + 0.1q = 2.3 equation 3
Subtract equation 3 from 2
0.15q = 1.35
Divide both sides by 0.15
q = 1.35 / 0.15
q = 9
To determine the value of d, subtract 9 from 23 : 23 - 9 = 14
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Which expression is equivalent to the following complex fractions
1-(1/x)/2
Not D
The expression that is equivalent to complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is [tex]{\frac{x - 1}{2x}}[/tex]
To answer the question, we need to know what fractions are
What are fractions?Fractions are rational numbers written in the form a/b where
a and b are integers and b > 0.where
a is called the numerator and b the denominator.Expression similar to complex fractionTo find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.
So, [tex]\frac{1 - \frac{1}{x}}{2}[/tex]
Taking L.C.M of x in the numerator, we have
[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\[/tex]
Simplifying, we have
[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}[/tex]
So, the expression that is equivalent to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is [tex]{\frac{x - 1}{2x}}[/tex]
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Can someone help me with this problem?
The volume of the fourth doll based on the information given will be 549cm³.
How to calculate the volume?The formula to use will be:
= πr²h
where,
Volume = 8cm³
Diameter = 2.1
Radius = 2.1/2 = 1.05cm
Therefore, 8 = (3.14 × 1.05² × h)
h = 8/(3.14 × 1.05²)
h = 2.31 cm.
The scale factor used is:
= 3.36/2.1
= 1.6
Therefore, the diameter of the fourth doll will be:
= 2.1 × 1.6³
= 8.6
Radius will be:
= 8.6/2 = 4.3.
The height of the fourth doll will be:
= 2.31 × 1.6³
= 9.46
The volume of the fourth doll will be:
= 3.14 × 4.3² × 9.46
= 549cm³
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Ajar has 20 marvels three green 12 blue five real what is the probability of randomly choosing a red and then a green marble
The answer is 3 I work it out
2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $
Answer:
$160850
Step-by-step explanation: