The value of x is given as follows:
x = 131º.
How to obtain the value of x?An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.
Hence the measure of the top angle of the bottom triangle is given as follows:
a = 180 - 98
a = 82.
The base angles of the bottom triangle have the same measure, as the triangle is isosceles, hence, considering that the sum of the measures of the internal angles of a triangle is of 180º, their measures are given as follows:
2b + 82 = 180
2b = 98
b = 49.
Considering the vertical angles, the base angles of the top triangle are given as follows:
b = 49.
Hence the value of x is given as follows:
x = 180 - 49
x = 131º.
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Rob and Gina bought a decorative side table to put against their wall The table is a regular hexagon
Regular hexagon is a closed shape polygon having six equal sides and six equal angles.
Regular HexagonA regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles.
Each angle of the regular hexagon measures 120 degrees.
A hexagon has six angles and the sum of all six interior angles is 720 degrees. In a regular hexagon, each interior angle measures 120 degrees.
Polygon
A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices of a polygon.
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1 Triunghiul dreptunghic ABC, A = 90°, este înscris într-un cerc de rază 13 cm.
Ştiind că AC = 10 cm, calculați:
a perimetrul și aria triunghiului;
b distanțele de la centrul cercului la laturile AB şi AC.
i don't speak that language so i don't know what your saying. im sorry
A soccer player has a large cylindrical water cooler that measures 3. 5 feet in diameter and is 2 feet tall. If there are approximately 7. 48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3. 14 and round to the nearest hundredth
When the water cooler is completely full, there are approximately 143.52 gallons of water in it.
To calculate the number of gallons of water in the water cooler when it is completely full, we can use the formula for the volume of a cylinder, which is:
Volume = π * (radius)^2 * height
where radius is half of the diameter, and π is the constant pi.
In this case, the diameter of the water cooler is 3.5 feet, so the radius is 1.75 feet. The height of the water cooler is 2 feet. Plugging these values into the formula, we get:
Volume = 3.14 * (1.75)^2 * 2 = 19.18 cubic feet
To convert this volume to gallons, we can multiply it by the conversion factor of 7.48 gallons per cubic foot:
Volume in gallons = 19.18 * 7.48 = 143.52 gallons
In summary, to calculate the number of gallons of water in a cylindrical water cooler, we can use the formula for the volume of a cylinder and then convert the resulting volume from cubic feet to gallons using a conversion factor.
In this case, we needed to use the diameter and height of the water cooler, along with the constant pi and the conversion factor of gallons per cubic foot, to calculate the number of gallons of water in the water cooler when it is completely full.
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Bridgeton University claims to accept 42% of applicants. In a random sample
of 1,000 Bridgeton University applicants, 392 were accepted. Calculate the
95% confidence interval and evaluate whether Bridgeton's claim seems
accurate.
We can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.
What is confidence interval?
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain degree of confidence. It is an interval estimate computed from a sample of data and is used to describe the uncertainty or variability associated with a sample estimate of a population parameter.
To calculate the confidence interval, we need to first find the point estimate of the proportion of applicants accepted by Bridgeton University:
Point estimate = number of applicants accepted / total number of applicants = 392 / 1000 = 0.392
The standard error of the proportion can be calculated as:
SE = sqrt(p*(1-p)/n), where p is the point estimate and n is the sample size.
SE = sqrt(0.392*(1-0.392)/1000) = 0.0194
To find the 95% confidence interval, we can use the formula:
CI = point estimate +/- z*SE, where z is the z-score for a 95% confidence level (1.96).
CI = 0.392 +/- 1.96*0.0194
CI = (0.354, 0.430)
Therefore, we can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.
To evaluate whether Bridgeton's claim seems accurate, we can compare the confidence interval with the claimed acceptance rate of 42%. We can see that the claimed acceptance rate of 42% does not fall within the confidence interval, which suggests that the claim may not be accurate. However, it is important to note that this sample may not be representative of the entire population of applicants to Bridgeton University, and further investigation may be needed to confirm the accuracy of the claim.
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can someone please help i don’t understand
x – 0.30x = 0.70x
A - Decrease a number by 30% is the same as multiplying by 70%.
B - Decrease a number by 30% is the same as increasing by 70%.
C - Decrease a number by 0.30 is the same as multiplying by 0.70.
D - Decrease a number by 30 is the same as multiplying by 70.
Answer:
A - Decrease a number by 30% is the same as multiplying by 70%.
Step-by-step explanation:
This statement is incorrect. Decreasing a number by 30% means that the number will be reduced by 30% of its original value. For example, if the original number is 100, decreasing it by 30% would give you 100 - 30% * 100 = 100 - 30 = 70. On the other hand, multiplying a number by 70% would increase it by 70% of its original value, which is a different operation.
C - Decrease a number by 0.30 is the same as multiplying by 0.70.
This statement is also incorrect. Decreasing a number by 0.30 means subtracting 0.30 from the original number, while multiplying by 0.70 means multiplying the original number by 0.70. These are two different operations that will result in different results.
what is the next number in the series 1\325,1\176,1/88,1/44,1/22
The next number in the series 1\325,1\176,1/88,1/44,1/22 is 1/44.
Depending on whether the sequence is finite or infinite, the series might be either infinite or finite.
To find the pattern in the series, we can look at the denominators of the fractions. We can see that the denominators are getting multiplied by 2 in each successive term.
So the next term in the series would have a denominator of 1/11 * 2 = 1/22 * 1/2 = 1/44. Therefore, the next number in the series would be 1/44.
So the complete series is:
1/325, 1/176, 1/88, 1/44, 1/22, 1/44.
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Uriel collects aluminum cans, crushes them with a hand can-crushing machine, and turns the crushed cans in once a month for extra money. Uriel can crush 3 cans in 23 of a minute. What is the rate, in cans per minute, at which Uriel crushes aluminum cans?
If Uriel can crush 3 cans in 23 of a minute, Uriel crushes aluminum cans at a rate of 4.5 cans per minute.
The problem gives us information about the number of cans Uriel can crush and the time it takes him to do so. We want to find the rate at which he crushes the cans, which is a measure of how many cans he can crush per minute.
To find this rate, we use a proportion. A proportion is a statement that two ratios are equal. In this case, we can set up a proportion that relates the number of cans Uriel crushes to the time it takes him to do so, and the rate at which he crushes the cans:
3 cans / (2/3 min) = x cans / 1 min
Here, the first ratio is the number of cans Uriel can crush in 2/3 of a minute (which is the same as saying that he can crush 3 cans in 2/3 of a minute). The second ratio is the unknown rate at which Uriel crushes cans per minute.
To solve for the unknown rate, we use cross-multiplication. This involves multiplying both sides of the proportion by the same value in order to isolate the unknown variable on one side of the equation.
In this case, we can cross-multiply by the denominators of each ratio:
3 cans × 1 min = (2/3 min) × x cans
Simplifying the left-hand side, we get:
3 cans × 1 min = 3 cans/min
Simplifying the right-hand side, we get:
(2/3 min) × x cans = 2x/3 cans/min
Putting these together, we get the equation:
3 cans/min = (2x/3) cans/min
We can now solve for x by isolating it on one side of the equation. To do this, we can multiply both sides by 3/2:
(3/2) × 3 cans/min = x cans/min
Simplifying, we get:
4.5 cans/min = x cans/min
Therefore, Uriel crushes aluminum cans at a rate of 4.5 cans per minute.
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question 14
help me asap
Answer:
arc PN = 164°
Step-by-step explanation:
given chords PM and PN are congruent.
• if 2 chords are congruent then the corresponding arcs are congruent
then
arc PN = arc PM = 164°
Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet. What is Jayden's percent error?
Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet. Jayden's percent error is 25%.
To calculate the percent error, we first need to find the difference between the measured value and the actual value, then divide that difference by the actual value, and multiply the result by 100 to express it as a percentage.
Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet.
The difference between Jayden's measurement and the actual measurement is:
4 ft - 3.2 ft = 0.8 ft
The actual value is 3.2 ft, so the percent error is:
(0.8 ft / 3.2 ft) x 100% = 25%
Therefore, Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet. Jayden's percent error is 25%.
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Help, I got 2262, I dunno what I'm doing wrong.
The two states will never have the same median house value.
How to model the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The intercepts are given by the values of each home in 1950, thus:
Idaho: 35500.Delaware: 55000.The slopes are given by the average change over the 50 years, hence:
Idaho: m = (106300 - 35500)/50 = 1416.Delaware: m = (130400 - 55000)/50 = 1508.As the number of years must be positive, Delaware starts with the higher income and has a higher yearly increase, the two states will never have the same median house value.
Solving 35500 + 1416x = 55000 + 1508x, we would end up with a negative value of x.
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a sample of students will be selected from all the students at a high school. which of the following sampling methods is least likely to produce a representative sample of the students? responses from a list of all student names, randomly select 50 names from the list for the sample. from a list of all student names, randomly select 50 names from the list for the sample. randomly choose five classrooms in the school and use all the students in those classrooms for the sample. randomly choose five classrooms in the school and use all the students in those classrooms for the sample. divide the students into the four class years (freshman, sophomore, junior, senior) and randomly select students from
Divide the students into the four class years (freshman, sophomore, junior, senior) and randomly select students from each year in proportion to the number of students in each year.
Research Sampling Methods:There are several ways to obtain a sample in research. The most common sampling methods in research are the following:
Simple random: A sampling method in which each member of the population has an equal probability of being selected for the sample.Convenience: A sampling method in which the sample is collected from a convenient group or place for the researchers.Systematic: A sampling method in which a sample is selected by choosing every n-th member of the population for some integer n≥2.Stratified: A sampling method in which a sample is selected according to different characteristics of the subjects (i.e., gender, age, disease status).Learn more about Sampling Method at:
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36-7p=-7(p-5) solve for P
Step-by-step explanation:
36 - 7p = -7(p-5)
= 36 - 7p = -7p + 35
= 36 - 35 = - 7p + 7p
= 1 = 0
am confused at the last part
I don't know if p= 1 or it 0 = 1
Fill in the table using this function rule.
y = 4x+2
X
-2
0
2
4
y
0
0
0
0
X
D
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
y = 4x + 2
At x = - 2, the value of 'y' is given as,
y = 4 × (-2) + 2
y = - 8 + 2
y = - 6
At x = 0, the value of 'y' is given as,
y = 4 × (0) + 2
y = 0 + 2
y = 2
At x = 2, the value of 'y' is given as,
y = 4 × (2) + 2
y = 8 + 2
y = 10
At x = 4, the value of 'y' is given as,
y = 4 × (4) + 2
y = 16 + 2
y = 18
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
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Step-by-step explanation:
Please here it is.
Given y = 4x + 2
Find the distance of a chord of Length 16cm From the centre of a Circle of radius 12.Cm.
The distance of the chord from the center of the circle is derived to be equal to √80 cm or 8.9 cm to the nearest tenth using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The the distance can be observed to be of the side of a right triangle with the hypotenuse as the radius of the circle and the base side half of the chord, if x is used to represent the distance of the chord from the centre of the circle.
so by Pythagoras rule we can write:
12² = x² + 8²
144 = x² + 64
x² = 144 - 64 {collect like terms}
x² = 80
x = √80 {take square root of both sides}
x = 8.9443
Therefore, the distance of the chord from the center of the circle is derived to be equal to √80 cm or 8.9 cm to the nearest tenth using the Pythagoras rule.
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The height of a cone is 10 centimeters. The radius is 4 centimeters. What is the volume of this cone? Around your answer to the nearest hundredth. Do not include units in your answer.
part b. which equation has the same graph as the answer from part a, and so can also be used to model the data?
Answer:
D
Step-by-step explanation:
f(x)=20 cos (pi/5x + pi/2)+25
Substitute and simplify.
w = -6, x = 4, y = 3, z = -8
1. WX + YZ =
2. 2w + 3z- xy + z³ =
3. y(z + x) =
4. (W+x+y)³=
5. (z-w)³ =
6. 5(w + x) + 4(y + z) =
7. W² - x² =
8. (xy) – 2wz =
9. wz - 4xy =
10. w+ (x+y+z)² =
The solution to all the Equations is shown below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
w = -6, x = 4, y = 3, z = -8
1. WX + YZ
= (-6) (4) + (3)(-8)
= -24 - 24
= -48
2. 2w + 3z- xy + z³
= 2(-6) + 3(-8) - (4)(3) + (-8)³
= -12 - 24 - 12 -512
= -560
3. y(z + x)
= 3(-8 + 4)
= -12
4. (w + x + y)³
= (-6 + 4 + 3)³
= 1
5. (z-w)³
= (-8 + 6)³
= -8
6. 5(w + x) + 4(y + z)
= 5(-6 + 4) + 4(3 -8)
= -10 - 20
= -30
7. W² - x² =
= (-6)² - (4)²
= 36 - 16
= 20
8. (xy) – 2wz
= (4)(3) - 2(-6)(-8)
= 12 -2 (48)
= 12 -96
= -84
9. wz - 4xy
= (-6)(-8) - 4(4)(3)
= 0
10. w+ (x+y+z)²
= -6 + 1
= -5.
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At a restaurant, Gabe buys 1 cheese pizza and 3 pepperoni pizzas. A cheese pizza costs $11.00. In total, Gabe spends $57.59, including 6% tax on the cost of the pizza and a $3.00 tip.
What is the cost of each pepperoni pizza?
Answer:
$13.53
Step-by-step explanation:
Let's call the cost of a pepperoni pizza x.The total cost of the cheese and pepperoni pizzas before tax and tip is 1 * $11.00 + 3 * x = $57.59 - $3.00Simplifying the expression on the right side: $54.59 - $3.00 = $51.59Now we can solve for x:1 * $11.00 + 3 * x = $51.593 * x = $51.59 - $11.003 * x = $40.59x = $13.53So each pepperoni pizza costs $13.53
What is the name of the following image?
a
Ray TS
b
Line Segment TS
c
Line ST
d
Ray ST
Answer:
ray ts
Step-by-step explanation:
Use a trigonometric ratio to solve for z. Round to two decimal places as necessary.
The value of z in the triangle using trigonometric ratio is; z = 10.90
How to use trigonometric ratios?The three basic trigonometric ratios from which others are derived are;
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
From the diagram, we can easily see that z is the opposite side of the given angle and 13 is the hypotenuse. Thus;
z/13 = sin 57
z = 13 * sin 57
z = 13 * 0.83867
z = 10.90
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Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
The statement that is true about the quadratic functions is:
g(x) > h(x) for x = -1.
Which statements are true for functions g(x) and g(x)?Here we have the two quadratic functions:
g(x) = x^2
h(x) = -x^2
Notice that h(x) = -g(x).
Also, g(x) is always positive or zero, while h(x) is always negative, but for x = 0 both have the same value.
g(0) = 0^2 = -0^2 = h(0)
Then the statement that is true is
g(x) > h(x) for x = -1.
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please answer the math question below
The total surface area is π[(4/3)x]² + π(4/3)x². The area of the base is greater than the lateral area.
What is an equation?An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.
Given the cone. The surface area (SA) is given by the equation:
SA = πr² + πrs
where r is the radius of the cone and s is the slant height.
Given that the slant height is x and the radius of the cone is 4/3 the slant height = (4/3)x
Hence:
SA = πr² + πrs
The base area = πr²; Lateral area = πrs
substituting:
The base area = π[(4/3)x]², the lateral area = π(4/3)x²
Hence:
SA = π[(4/3)x]² + π(4/3)x²
The area of the base is greater than the lateral area.
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Find the greatest whole number which divides 372 & 324 without leaving remainder
The greatest whole number that divides both 372 and 324 without a remainder is 4.
To find the greatest whole number that divides both 372 and 324 without a remainder, we can use the concept of the greatest common divisor (GCD).
One method to find the GCD is to factor each number into its prime factors and then find the product of the common prime factors.
372 can be factorized as 2 * 186, and 324 can be factorized as [tex]2^2 * 3^4[/tex]
The greatest common divisor is [tex]2^2[/tex], which is equal to 4.
So, the greatest whole number that divides both 372 and 324 without a remainder is 4. This means that 4 is the largest number that can divide both 372 and 324 evenly, leaving no remainder.
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The diameter of a circle is 14 cm. Find the circumference to the nearest tenth.
Since the diameter of this circle is 14 cm, a measurement of the circumference of this circle to the nearest tenth is 43.96 centimeters.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 14
Circumference of circle, C = 43.96 centimeters.
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Eight of the students in the class play Sportys eight students make up 25% of the class how many students are in the class
Answer:
32
Step-by-step explanation:
since 8 students are 25% of the class then 25% is also a way of saying 1/4……4/4 would represent the entirety of the class so 8 times 4 is 32 which is the total number of students in the class
Oliver is working this summer. His job pays $7.25 per hour. He will be working
15 hours per week and he'll be working for 14 weeks. How much money will
he make before any deductions are made from his pay?
Answer:
$1522.5
Step-by-step explanation:
(7.25 x 15)14
(108.75)14
= 1522.5
Pls show your work thank you will mark the Brainliest
The graph that best models the situation of the home value increasing every year is Graph A
How to find the graph ?To find the graph, use the percentage increase to find the value of the house in two different time periods and then check which graph coincides with this prediction.
After 5 years, the value of the house should be:
= 200, 000 x ( 1 + 6 % ) ⁵
= $ 267, 645
After 10 years :
= 200, 000 x ( 1 + 6 % ) ¹⁰
= $ 358, 170
The best graph for the situation is therefore Graph A which starts from $ 200, 000 and passes through the above points.
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a study shows that at the end of a school day teenagers typically have 40% of their cell phone battery left when plugged in phone charge at a rate of 3% per minute when using the newest fast charger.
a: write an inequality to represent how many more minutes are needed to reach at least 80% battery life.
b. use the inequality to determine the how many more minutes it will take to have at least 80% battery life
Part(a), An inequality to show the number of additional minutes required to get at least 80% battery life will be 3m + 40 ≤ 80.
Part(b) The number of minutes will be 13 minutes and 20 seconds.
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that according to a survey, students often have 40% of their cell phone batteries left at the end of the school day when utilizing the newest fast charger, which charges phones at a pace of 3% per minute.
Part(a) The inequality can be written as:-
3m + 40 ≤ 80.
Part(b), The number of minutes will be:-
3m + 40 ≤ 80.
3m ≤ 40
m ≤ 40 / 3
m ≤ 13.33
The time can also be written as 13 minutes and 20 seconds.
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Frank in going to plant b vegetables in one garden and 2b+1 vegetables seeds in a another how many seed is frank going to plant
The number of vegetable seeds Frank is going to plant is 3b + 1
Calculating the sum of vegetable seeds Frank is going to plantFrom the question, we are to determine the number of vegetable seeds Frank is going to plant on the gardens
From the given information, we have that
"Frank in going to plant b vegetables in one garden"
and
"2b+1 vegetables seeds in a another"
To determine the number of vegetable seeds he would be planting in the gardens, we would find the sum of the vegetable seeds he is planting in the first garden and the second garden
That is,
b + (2b + 1)
= b + 2b + 1
= 3b + 1
Hence, the number of seeds is 3b + 1
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