The exterior angle y of the triangle is 60 degrees.
How to find the angle of a triangle?The sum of angles in a triangle is 180 degrees. The external angle y of the triangle can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence, using the exterior angle theorem,
y = 35 + 25
y = 60 degrees.
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Henry will buy grass seed for his lawn. Each bag of grass seed covers an area of 925
square feet. Henry's lawn is 128 feet long and 72 feet wide. He estimates that he will
need 8 bags of grass seed. Is this estimate reasonable?
Show all your work!
Henry needs to buy the 9.96 bags of grass seed to cover the lawn area:
What is the definition of the area of a geometric figure?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
What is an example of a geometrical figure?Geometrical shapes are two-dimensional shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. The three-dimensional shapes in solid geometry are the cube, cuboid, cone, sphere, and cylinder. All of these shapes can be found in various forms all over the place.
According to the given data:The length of the lawn L = 128.
the width of the lawn B = 72.
bag of grass seed covers an area of 925 ft².
He anticipates that he will require 8 bags of grass seed.
Now first we find the area of the lawn:
area of lawn = L x B
= 128 * 72
= 9,216 ft²
The grass seed required to covers an area of lawn = 9,216 ft²
one bag of grass seed covers an area of 925 ft².
= 9216/925
= 9.96
henry needs to buy the 9.96 bags of grass seed to cover the lawn area:
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To predict the outcome of the vote for the town budget, the town manag assigned random numbers and selected 12F registered voters. He then called these vote and asked how they planned to vote. Is th town manager's sample representative of population? Explain.
The town manager's sample is not representative of population as he only picked females.
What is a sample representative?It should be noted that a sample representative simply means a subset of a population which seeks to reflect the characteristics of the larger group.
In this case, the town manager's sample is not representative of populationas he only picked females. The males too ought to be given an equal chance.
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QUESTION 2: Maria ordered a pizza. She ate 4/6 of it and gave
the remaining pizza to her 2 brothers. What fraction of the whole
pizza will each of Maria's brothers receive, if they share the
remaining pizza equally?
Answer:
1/6 2/6 1/3
Step-by-step explanation:
one of those 3
A pair of wireless headphones costs $125. Your friend has $40 and plans to save $15 each
month.
a. Write an inequality to show how many months your friend will need to save in order to
purchase the headphones.
5. Solve and graph the inequality.
The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.
What is meant inequality graph?An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."
Cost of the headphone 125.
What the friend have: 40.
What need to save: 125-40 = 85
Let x = amount to be saved per month
Months to save up the 85 is 15
The equation would be 15 x = 85
Therefore x = 85/15
Which is 5 2/3 months.
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Can anyone help me with this question please?
I’ll mark as brainliest.
Please do not answer if you do not know .
Answer:
6
Step-by-step explanation
hope this answer is right
Step-by-step explanation:
The total length is 66, so 66 - 11 = 55, then they are 5 (a) so 55/5 = 11, so the answer is 11
Simplify the expression using the order of operations. (10^2+ 5^2)/5 this one too im confused
Answer:
25
Step-by-step explanation:
Review: any operations inside parentheses must be done first. Inside these parentheses are two exponential functions: 10^2 and 5^2; these are equal to 100 and 25, and when we add them we get 125:
(125)/5
Now do the indicated division. We get 25
PLEASEEEE HELP!!!!! I WILL MAKE BRAINLEST!!!!!!!!!!!!
What's the common difference of 5,10,20,40
Answer:
Geometrical sequence of x2, each number is being multiplied by 2.
Step-by-step explanation:
10/5 = 2
20/10 = 2
40/20 = 2
8.
The table shows the results of a genetics experiment with fruit
flies. Use a 0.05 significance level to test the claim that the
observed frequencies agree with the proportions that were
expected according to principles of genetics. Find the critical
value for the goodness-of-fit needed to test the claim.
Characteristic
Frequency
Expected
Proportion
Red Eyel
Normal Wing
59
9
16
Sepia Eye/
Normal Wing
15
3
16
Red Eyel
Vestigial Wing
2
3
16
Sepia Eye/
Vestigial Wing
4
1
16
It is concluded that the null hypothesis H0 is rejected. Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.
How to solve(1) Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
H0: P1 = \(9/16,P_2-3/16, P_3-3/16,P_4-1/16\)
Some of the population proportions differ from the values stated in the null hypothesis
This corresponds to a Chi-Square test for Goodness of Fit.
(2) Test Statistics
The Chi-Squared statistic is computed as follows:
\(4.356 + 0 + 11.267 + 0.2 = 15.822\)
(3) Decision about the null hypothesis
Since it is observed that χ2=15.822>χc2=7.815, it is then concluded that the null hypothesis is rejected.
(4) Conclusion
It is concluded that the null hypothesis H0 is rejected. Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.
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The average number of words in a romance novel is 64,182 and the standard deviation is 17,154. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to two decimal places. A. X ~ N( , ) B. Find the proportion of all novels that are between 50,000 and 60,000 words.
The proportion of all novels that are between 50,000 and 60,000 words is approximately 0.
A. The random variable X, representing the number of words in a randomly selected romance novel, follows a normal distribution with a mean (μ) of 64,182 and a standard deviation (σ) of 17,154.
B. To find the proportion of all novels that are between 50,000 and 60,000 words, we need to calculate the area under the normal curve between those two values.
First, we need to standardize the values using the z-score formula:
z₁ = (50,000 - μ) / σ
z₂ = (60,000 - μ) / σ
Substituting the given values:
z₁ = (50,000 - 64,182) / 17,154
z₂ = (60,000 - 64,182) / 17,154
Calculating these z-scores will give us the standardized values.
Next, we need to find the corresponding cumulative probabilities for each z-score using a standard normal distribution table or a statistical calculator.
Let's assume we find P(Z < z1) = P(Z < z2) = p.
The proportion of all novels between 50,000 and 60,000 words is given by:
Proportion = P(z1 < Z < z2)
= P(Z < z2) - P(Z < z1)
= p - p
= 0
Since the probabilities are the same, the proportion of novels between 50,000 and 60,000 words is approximately 0.
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Please help me answer this is question
Answer:
no. Only Lin is right.
Step-by-step explanation:
As you can see, 2.5 and d are multiplied with each other. To get rid of the 2.5, though, you’d have to do the inverse operation, which is division.
1376.05 rounded to nearest tenth
Answer: 1376
Step-by-step explanation:
Answer: 1376.1
Step-by-step explanation: The provided number is 1376.05. If we were to round this to the nearest tenths place, which would be the first decimal place, it would be 1376.1. This is because 5 or more the number to the left round up.
Shane wrapped the kite at the right With paper.how many Square inches of Paper Did Shane use to cover the front and back
We'll need to know the dimensions of the kite that Shane wrapped with paper. Assuming you have the kite's height and width or base and height, you can calculate the area of the kite and then multiply it by 2 to account for the front and back.
1. Calculate the area of the kite using the formula: Area = (base * height) / 2.
Area is a measure of the size of an area on a surface . A flat area or plan area refers to the area of a figure or plane, while surface area refers to the area of an open surface or tri-Dimensional refers to the extent of the object.
2. Multiply the area by 2 to account for the front and back: Total area = Area * 2.
`A surface is a general concept of a surface . It is mathematical model, this is a generalization of the plan , but unlike a plane, it is curved. It is possible it is a straight line generalization is similar to the curve to do.
3. The total area will give you the number of square inches of paper Shane used to cover the front and back of the kite.
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Someone plz help me I will give brainliest
Answer:
$33.81
Step-by-step explanation:
Strawberries = $2.49 Per Pound (Bought 3)
Blueberries = $3.19 Per Pound (Bought 2)
Pineapples = $4.99 Per Pound (Bought 4)
So we have to multiply each price with the number of fruits bought.
So, For Example, Strawberries: $2.49 × 3 = $7.47
After you did all three individually, add them all up.
Strawberries : $7.47
Blueberries : $6.38
Pineapple : $19.96
Total = $33.81
Hope This Helps!How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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Kennedy has a gross income of $95,000. What is her total tax due?
The total tax due is $45000.
It is required to find the total tax due.
What Are Taxes?Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national.
Given:
This made her total gross income= $140,000
Gross income =$95,000
According to given question we have
Total tax due=total gross income- Gross income
=$140,000-$95,000
=$45000
Therefore, the total tax due is $45000.
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The total gross income is $140,000 is missing.
Please answer I’ll make brainliest
Answer:
1 single foot
you just subtract lol
Asx approaches negative infinity, for which of the following functions does f(x) approach positive infinity? Select all that apply. Select all that apply: f(x) =2x5 Ofx)9x +100 f(x)= 6x8 +9x6+32 f(x)=-8x3 + 11 f(x)=-10x +5x+ 26 f(x)=-x +8x4 + 248
Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:
- f(x) = 2x^5
- f(x) = 6x^8 + 9x^6 + 32
- f(x) = -x + 8x^4 + 248
To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.
Let's examine each function and identify their leading terms:
1. f(x) = 2x^5
The leading term is 2x^5, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
2. f(x) = 9x + 100
The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.
As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.
3. f(x) = 6x^8 + 9x^6 + 32
The leading term is 6x^8, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
4. f(x) = -8x^3 + 11
The leading term is -8x^3, which has a negative coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.
5. f(x) = -10x + 5x + 26
Combining like terms, we have f(x) = -5x + 26.
The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.
As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.
6. f(x) = -x + 8x^4 + 248
The leading term is 8x^4, which has a positive coefficient and the highest power of x.
As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.
Therefore, the correct choices are:
- f(x) = 2x^5
- f(x) = 6x^8 + 9x^6 + 32
- f(x) = -x + 8x^4 + 248
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if the growth rate r of a population is positive and remains constant, the number of people added to the population:
The number of persons added to the population rises annually if the population's growth rate, r, is positive and stable.
Given statement,
If the growth rate r of a population is positive and remains constant, the number of people added to the population,
In the given case the solution will be the number of people added to the population " increases each year ".
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
31. What is the measure of
a. 30 degrees
b. 45 degrees
c. 60 degrees
d. 90 degrees
option (a) 30 degrees
Step-by-step explanation:
Sum of all the angles in a triangle equals to 180°
So, 30° is answer
2r²+11r+15=0 quadratic equation by factoring
Answer:
2r^2+(6+5)r+15=0
2r^2+6r+5r+15=0
2r(r+3)+5(r+3)=0
(r+3)(2r+5)=0
Answer:
r = - 3, r = - \(\frac{5}{2}\)
Step-by-step explanation:
Given
2r² + 11r + 15 = 0
Consider the factors of the product of the coefficient of the r² term and the constant term which sum to give the coefficient of the r- term.
product = 2 × 15 = 30 and sum = 11
The factors are + 6 and + 5
Use these factors to split the r- term
2r² + 6r + 5r + 15 = 0 ( factor the first/second and third/fourth terms )
2r(r + 3) + 5(r + 3) = 0 ← factor out (r + 3) from each term
(r + 3)(2r + 5) = 0
Equate each factor to zero and solve for r
r + 3 = 0 ⇒ r = - 3
2r + 5 = 0 ⇒ 2r = - 5 ⇒ r = - \(\frac{5}{2}\)
Change 7 kilometres to metres ?
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Data was collected on h, the number of hot dogs sold, and p, the number of people attending a fair over a two week period. The least squares regression line has equation 0. 6p10. 0. The residual for the day when 520 people attended was 35. How many hot dogs were sold that day?.
There were 357 dogs that were sold that day.
What is least squares regression line?
The line that best matches a linear connection between two variables in data is called a least-squares regression line because it minimizes the vertical distance between the data points and the regression line.
The given equation is,
y = 0.6p + 10.0
The residual for the day when 520 people attended was 35.
So, p = 520.
Plug 520 in the above equation, we get
y = 0.6(520) + 10.0
y = 312 + 10
y = 322
As, people attended was 35
So,
y = 322 + 35
y = 357
Hence, there are 357 dogs are sold that day.
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the product of 8/9 and the sum of a number and -4 is less than or equal to 64 what are all the possible values of the number ? SHOW WORK!!!!!
Answer:
\(x\leq 76\)
Step-by-step explanation:
Let x = unknown number
⇒ \(\frac{8}{9}*(x-4)\leq 64\)
⇒ \(\frac{8(x-4)}{9} \leq 64\)
Multiply both sides by 9:
⇒ \(8(x-4)\leq 576\)
Expand brackets:
⇒ \(8x-32\leq 576\)
Add 32 to both sides:
⇒ \(8x\leq 608\)
Divide both sides by 8:
⇒ \(x\leq 76\)
Which rule must be used to find out the number of ways that two representatives can be picked so that one is a mathematics major and the other is a computer science major? (You must provide an answer before moving to the next part.) es Multiple Choice the division rule the subtraction rule the sum rule the product rule
The rule that must be used to find out the number of ways that two representatives can be picked, where one is a mathematics major and the other is a computer science major, is the product rule.
The product rule is a fundamental principle in combinatorics that states that if there are m ways to perform one task and n ways to perform another task, then there are m * n ways to perform both tasks together. In this case, we can consider the selection of a mathematics major representative as one task and the selection of a computer science major representative as another task.
To apply the product rule, we need to determine the number of ways each task can be performed. Let's say there are k mathematics majors and j computer science majors available. To select one mathematics major representative, we have k choices, and for the computer science major representative, we have j choices. Therefore, according to the product rule, the total number of ways to pick one mathematics major and one computer science major representative is k * j.
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Need the answer to the problem below.
((8 * 1) ^ 2) ^ 5 =
Answer:
Here is your answer
((8 * 1) ^ 2) ^ 5 =
(8 ^ 2) ^ 5 =
64 ^ 5 = 1073741824
Step-by-step explanation:
Answer: ((8 * 1) ^ 2) ^ 5 =
(8 ^ 2) ^ 5 =
64 ^ 5 = 1073741824
Step-by-step explanation:
Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?
Answer:
slope is 10x
Y - intercept is 7
Step-by-step explanation:
The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a line that has a slope of 10 and passes through the point (0, 7).
Assume the equation of the line to be -
y = 10x + c {since m = 10}
For the point (0, 7), we can write -
7 = 10 x 0 + c
c = 7
So, the equation of the line will be -
y = 10x + 7
Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7
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