x = 74 degrees is the angle
Let x = the angle
then
(180-x) is the supplement of x
and
(90-x) is the complement of x:
"The supplement of an angle is 26 more than 5 times its complement."
(180-x) = 26 + 5(90-x)
180 - x = 26 + 450 - 5x
-x + 5x = 26 + 450 - 180
4x = 296
x = [tex]\frac{296}{4}[/tex]
x = 74 degrees is the angle
5 times its complement.
(180-74) = 26 + 5(90-74)
106 = 26 + 5*(16)
106 = 26 + 80; confirms our solution
In elementary geometry , an angle is that the figure formed by two rays, called the edges of the angle, sharing a standard endpoint, called the vertex of the angle. Angles formed by two rays dwell the plane that contains the rays. Angles also are formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves can also define an angle, which is that the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle is additionally used to designate the measure of an angle or of a rotation. This measure is that the ratio of the length of a circular arc to its radius. within the case of a geometric angle, the arc is centered at the vertex and delimited by the edges . within the case of a rotation, the arc is centered at the middle of the rotation and delimited by any other point and its image by the rotation.
Potentially, an angle denoted as, say, ∠BAC, might ask any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction during which the angle is measured determines its sign (see Positive and negative angles).
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express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
The exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]
For given question,
We need to express 121,200 in exponential (powers of 10) notation.
To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.
The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.
So, the exponential notation of given number would be,
121,200 = 1.212 × [tex]10^5[/tex]
Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.
So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.
So, the distance between he Earth and the Sun is:
150,000,000 = 1.5 × 10⁸
Therefore, the exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]
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Consider this equation. (4x)1/3 - x = 0 The first step in solving this equation is to ___The second step is to ____ Solving this equation for x initially yields _____ Checking the solutions shows that _____
The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.
The equation given is [tex]4x^{1/3}[/tex]- x = 0
We need to solve it stepwise.
The first step will be to to move -x to RHS.
[tex]4x^{1/3}[/tex]- x = 0
or
[tex]4x^{1/3}[/tex] = x
The second step is to solve to get the values of x.
4x = x³
4x - x³ = 0
x (4 - x²) = 0
So , this will give us two equations which are ,
x = 0
and
4 - x² = 0
or
x² = 4
x = ± 2
So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.
Thus , the solutions will be x = -2, 0, 2.
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The greenhouse at the right is a regular octagonal pyramid with a height of 5 feet. The base has side lengths of 2 feet. What is the volume of the greenhouse?
Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]
In the given statement is:
The greenhouse at the right is a regular octagonal pyramid with a height of 5 feet. The base has side lengths of 2 feet.
To find the Volume of the greenhouse
We know that the :
Area of Regular Octagonal Pyramid is [tex]2a^{2}(1+\sqrt{2} )[/tex]
a = side of an octagonal
and, a= 2 feet
Let's find Area of Octagonal :
Now, putting the value of a in above formula:
[tex]2(2^{2} )(1+\sqrt{2} )\\\\8(1+\sqrt{2} )\\\\=19.31 feet^{2}[/tex]
Now, Volume of the green house
Volume of a regular Octagon pyramid is = Area of an Octagon x height
Height = 5 feet
Now, Volume of a regular Octagon pyramid is = 19.31×5
Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]
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2³-2"=29
n=
Find the value of n
Answer:
[tex]2 + 2 + 2 - 2 = 29[/tex]
65.28 ÷ 12
round it to the nearest tenth If necessary.
Answer:
5.44
Step-by-step explanation:
the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
No, there is only one outlier at 58 minutes.
What are outliers in data?An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.
How do you calculate the outlier?A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.
Complete question -The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?
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The Munchery Restaurant advertises that you
can have a different lunch combination every
day of the year. They offer 12 different kinds
of soups, 6 different sandwich meats and 4
different kinds of bread. Is their claim valid?
Explain.
brosse sit
There of 288 different kinds of lunch combination .
What is combination ?
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.The Munchery Restaurant advertises that you can have a different lunch combination every day of the year.
types of soups = 12
types of sandwich = 4
types of bread = 4
find the number of combinations we multiply all the possible types we have
Number of combinations = 12 × 6 × 4 = 288
There of 288 different kinds of lunch combination .
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Order these numbers from least to greatest.
2.106, 1.1512, 2.1, 2.16
Answer:
1.1512, 2.1, 2.106, 2.16
Answer:
1.1512, 2.1, 2.106, 2.16
Step-by-step explanation:
1.1512 is the lowest cause it starts with 1
then 2.1 cause it has no more numbers to make it larger than the last two
then 2.106 because there is a 0 separating the 1 and 6 which makes the number smaller
which leaves you with 2.16 as the lasrgest
Which built-in data type stores only whole numbers? a. whole b. number c. float d. int
The built-in data type that stores only whole numbers is int data type
Built-in data types are the data types used to declare and store the variables in the program, They are also known as primary data types
Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.
Here,
Here the condition is a built-in data type stores only whole numbers
So, the int data types satisfy these conditions
Hence, the built-in data type that stores only whole numbers is int data type
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As the degrees of freedom increase, the t distribution approaches the _____ distribution. a. exponential b. p c. normal d. uniform
As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.
What is the degrees of freedom (DF)?The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.
What is a normal distribution?A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.
In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.
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show work needed please!
Answer: 120
Step-by-step explanation:
V= {(4+2)² x 10}/3 = 120
AP STATS.
does anyone know how to divide these and calculate frequency?
Answer:
class:11-20
21-30
31-40
.
.
.
81-90
Step-by-step explanation:
It costs $24.99 for a pizza
pasta for 4 people. Drinks are an
Extra$2.99 each. How much would it cost
for 4 people to eat and drink?
The final answer for this is $36.95.
Now, if we se the explanation
We have, the cost for pizza and pasta for four people is $24.99
and,
the cost of drink for single person is $2.99
Now, if we calculate the cost of drinks for all the four person,
it would be $2.99 × 4 = $11.96.
It is the cost of drinks only for four people.
we have already given the cost of eat I.e. $24.99
total cost for four people to eat and drink is
= $11.96 + $24.99
= $36.95
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What is the area of the shades region below
Answer:
243m²
Step-by-step explanation:
work out 18x18=324
work out 9x9=81.
324-81= 243
In Maryland, The sales tax rate is 6%. What is the tax, in dollars and cents, on a $32.74 purchase? Round your answer to the nearest cent.
Answer:
answer is, 1.96, 32.76%6=1.96
Answer:
Step-by-step explanation:
$32.74 x 6% = $34.70
$1.96 for specifics, rounds to $2.00
Help with problem 20 please
The rate of change will be 0.074 grams per year.
How to calculate the rate?The change in hydrocarbon will be:
= 3.4 - 0.8
= 2.6
The number of years will be:
= 2007 - 1972
= 35
Therefore, the rate will be:
= Change in hydrocarbon / Years
= 2.6 / 35
= 0.074 grams per year.
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there is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?
136.5 percent chance.
91 percent in one hour
how much percent in 1.5 hour?
we need to find how much percentage is in 0.5 hour
91 divided by 2 = 45.5
91 + 45.5 = 136.5
Am i bad? pls tell
Please help!!
Here are Stages 1-4.
What stage will have closest to 1,000,000,000 circles?
Use a calculator if it helps you with your thinking.
Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].
What is the circle?
A circle is a round-shaped figure that has no corners or edges.
In geometry, a circle can be defined as a closed, two-dimensional curved shape.
So, the calculation is:-
Now, Multiplying by [tex]2[/tex]
[tex]2 * 2 = 4[/tex]
[tex]4 * 2 = 8[/tex]
[tex]8 * 2 = 16[/tex]
[tex]16 * 2 = 32[/tex]
[tex]32 * 2 = 64[/tex]
[tex]64 * 2 = 128[/tex]
[tex]128 * 2 = 256[/tex]
[tex]256 * 2 = 512[/tex]
[tex]512 * 2 = 1,024[/tex]
[tex]1,024 * 2 = 2,048[/tex]
[tex]2,048 * 2 = 4,096[/tex]
[tex]4,096 * 2 = 8,192[/tex]
[tex]8,192 * 2 = 16,384[/tex]
[tex]16,384 * 2 = 32,768[/tex]
[tex]32,768 * 2 = 65,536[/tex]
[tex]65,536 * 2 = 131,072[/tex]
[tex]131,072 * 2 = 262,144[/tex]
[tex]262,144 * 2 = 524,288[/tex]
[tex]524,288 * 2 = 1,048,576[/tex]
[tex]1,048,576 * 2 = 2,097,152[/tex]
[tex]2,097,152 * 2 = 4,194,304[/tex]
[tex]4,194,304 * 2 = 8,388,608[/tex]
[tex]8,388,608 * 2 = 16,777,216[/tex]
[tex]16,777,216 * 2 = 33,554,432[/tex]
[tex]33,554,432 * 2 = 67,108,864[/tex]
[tex]67,108,864*2 = 134,217,728[/tex]
[tex]134,217,728* 2 = 268,435,456[/tex]
[tex]268,435,456 * 2 = 536,870,912[/tex]
[tex]536,870,912* 2 = 1,073,741,824[/tex]
Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].
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this is a super difficult math worksheet for me so please help ASAP
Answer:
Step-by-step explanation:
function notation
1) -13
2) -4
3) 7
4) 23
5) 13
6) -4
7) 14
8) -1
9) 15
10) 0
function operations
1) -3x^2 + 11x -4
2) 6x - 12
3) 3x^2 - 2x + 5
4) x^2 - 4x + 5
5) 27x^2 - 32x
6) 2x^5 + 4x^4 - 5x^3 - 10x^2
7) -6x^4 + 8x^3 + 15x^2 - 20x
8) 3x^4 - 2x^3 - 16x^2
Monthly Water Bills
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
Write the formula for the mean water bill for the entire year using sigma notation.
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
What is the sigma notation?To depict a series in a succinct format, summation or sigma symbols can be employed. The sum is denoted by the Greek capital letter ∑, The series 4+8+12+16+20+24 has the formula 6∑n=14n. As n increases from 1 to 6, the statement is read as the total of 4n.
What is the purpose of sigma notations?Summation notation (also known as sigma notation) allows us to express a large sum in a single phrase.
What is the definition of a math term?The mean in mathematics and statistics is the average of a set of values. There are several methods for computing the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.
According to the given data:x₁ x₂ x₃ x₄ x₅ x₆ x₇ x₈ x₉ x₁₀ x₁₁ x₁₂
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
[tex]\bar{x}[/tex] = (40+42+40+38+48+50+58+62+56+46+44+44)/12
= 568/12
= 47
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
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PLS HELP MARKING BRAINLIEST pls answer correctly
Answer:
24
Step-by-step explanation:
Let x be shirts.
Write an equation.
13x=321
Divide 13 from both sides.
x≈24.69
So, the soccer team can only buy 24 shirts, because it cannot go over the budget.
Hope this helps!
Please mark as brainliest if correct!
function 1, 2, 3, and 4
Label if 1-4 are linear or non linear
picture of function linked!
Answer:
1. Not Linear
2. Linear
3. Linear
4. Linear
Step-by-step explanation:
Linear means it follows the form y = mx + b
1. The x value increases by 2 each time, but the y value doubles each time. They are increasing at different rates, so they are not linear.
2. The x value is increasing by 3 each time, and the y value is deceasing by 1 each time. Slope (m) of this line would be -1/3
3. The x value is increasing by 4 each time, the y value is increasing by 3 each time. Slope (m) of this line would be 4/3
4. The x value is increasing by 1 each time, the y value is constantly -3. This means that the line is a horizontal line, which is linear with a slope of 0. So the equation of this line would be y = 0x -3 ----> y = -3
PLEASE HELP WILL MARK BRAINLIEST
Answer:y=-3, x=6
Step-by-step explanation:
Answer:
x=6 y=-3
Step-by-step explanation:
please help i will give out brainlist
Based on the definition of supplementary angles:
x = 5
The measure of angle 6 = 30°
What are Supplementary Angles?If two angles are supplementary, when added together, their sum will equal 180 degrees.
We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.
Hence, we would have the following equation:
m<5 + m<6 = 180
Substitute
40x - 50 + 5x + 5 = 180
Add like terms
45x - 45 = 180
45x = 180 + 45
45x = 225
45x/45 = 225/45
x = 5
The measure of angle 6 = 5x + 5 = 5(5) + 5
The measure of angle 6 = 30°
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Nate is looking for a repair service for general household maintenance. One
service charges $75 to join the service and $30 per hour. Another service charges
$15 to join the service and $40 per hour. After how many hours of service is the
total cost for the two services the same?
Answer: Total cost for the two services of hours = $6.
Step-by-step explanation:
Given data,
Nate is looking for a repair service for general household maintenance.
First service charges = $75
First service charge per hour = $30 per hour
Another service charges = $15
Another service charge per hour = $40 per hour
Total cost of hours of service is = x
So,
We can write,
75 + 30x = 15 + 40x
Rearrange variables to the left side of the equation,
30x - 40x = 15 - 75
Combine like terms,
-10x = 15 - 75
Calculate the sum or difference,
-10x = -60
Divide both sides of the equation by the coefficient variable,
x = -60/-10
Determine the sign for multiplication or division,
x = 60/10
Cross out the common factor,
x = 6
Therefore,
Total cost for the two services of hours = $6.
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Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6
Answer:
x/7 + 9 = 6
Step-by-step explanation:
Hope this helps! Please give brainliest!
a pesticide manufacturer is developing a new type of organic pesticide for a particular plant. to study the effectiveness of the new pesticide, a large sample of young plants is collected. the sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. one of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. the plants are inspected regularly over a 3 month period and the results are recorded for comparison.
According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.
In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.
What are matched pair experiments.?
Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.
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"If PQ+ RS = PS and RS = XY, then PQ + XY = PS"
Please
Help
Answer:
Substitution property.
Step-by-step explanation:
The substitution property is just like saying, "If a variable, b, equals c, then b will be substituted for c, and it goes for c being substituted as b, too."
➲ Hope this helps.
In Algebra class, the average score on the second test is 76 points, all students scored within 5 points of the average. If x represents a student's score, write an equation that represents the minimum and maximum scores.
|x - 5| = 76
|x + 5| = 76
|x - 76| = 5
|x + 76| = 5
The equation to model the maximum and minimum scores is given by |x - 76| = 5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the student score. All students scored within 5 points of the average, hence:
|x - 76| = 5
The equation to model the maximum and minimum scores is given by |x - 76| = 5
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One of two supplementary angles measures 6 degrees less than twice
the other. How large are the angles?
Answer:
adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .