Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
Pls help!!! Pls and thank you!! So much
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
can anyone help please?
The simplest form of the given expression is:
(9² + 19)/(10² - 5³) = -4
How to solve the expression?Here we want to solve the following expression:
(9² + 19)/(10² - 5³)
We can replace the values:
9² = 81
10² = 100
5³ = 125
Reaplacing that we will get:
(9² + 19)/(10² - 5³) = (81 + 19)/(100- 125)
= 100/-25
= - (100/25) = -4
That is the simplest form of the expression.
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Diana makes 3 batches of biscuits using 15 cups of flour. How many cups of flour does Diana use per batch?
Answer:
5 cups
Step-by-step explanation:
15 divided by 3
Answer:
5 cups
Step-by-step explanation:
15 cups/3 batches = 5 cups
Express tan H as a fraction in simplest terms.
F
H
28
7
G
Answer:
4 or \(\frac{4}{1}\)
Step-by-step explanation:
To solve this we need to remember SOH-CAH-TOA. With SOH being Sine, CAH being Cosine, and TOA being Tangent. In the last term (TOA), the O means opposite and the A is adjacent. This means the segment opposite of angle H you have to divide that by the segment adjacent to H.
In this case, the opposite is 28 and the adjacent is 7. So we have to do \(\frac{28}{7}\). This is tan(H). Now we have to simplify this. Now we get our tangent of H to be \(\frac{4}{1}\) or 4. So 4/1 or 4 is our answer
A. You work 30 hours a week. You need to earn $234 to cover your weekly expenses. Your dog-walking job pays $8 per hour and your job at the car wash pays $7.5 an hour. Write a system of linear equations to represent the situation.
B. Solve the system in A.
C. Explain what the answers in part B represent.
Answer:
Here's a pdf that has questions and answers on it 7.6 Applications answer key.pdf
Step-by-step explanation:
Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
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Brody has already read 8 books this year before joining a book club,and he plans to read 1 book every month now that he has joined. If Body has read 28 books so far,how many months has he been with his book club?
Answer: 20 months
explanation: You subtract 8 from 28 since 8 is the amount he had before he joined. He also said he planned on reading 1 book per month after joining the club. You want to subtract the 8 since it isn't relevant to the book club books read.
A store has 2000 grocery bags to give away as part of its grand opening. The store is handing out 150 bags per hour. In how many hours will the store have 950 bags remaining? Write an equation that represents this scenario. Then solve.
Answer:
13.3 repeated
Step-by-step explanation:
You need to take 2000 and divide it by 15. Then your answer will come.
*13.3*
Answer:
7 hrs
Step-by-step explanation:
2000 grocery bags
Let x be the number of hours
If they're handing out 150 bags per hour, then 150x would be the amount given out in x hrs.
Since we want to get 950 bags left over a certain number of hrs, make this equation and solve:
950=2000-150x
150x=1050
x=7
the total number of cookies george can bake depends on the amount of time he spends baking. George can bake 216 cupcakes in 2.1 h. How many cookies can he bake in 3 h?
Answer: 306
Step-by-step explanation:
i just took the test
One soccer ball and one soccer jersey together cost $100 . They each cost a whole dollar amount.
Write an equation to represent this problem.
Describe the possible costs for the soccer ball and soccer jersey.
Answer:
B+J = 100
Soccer ball cost $40
Soccer Jersey cost $60
Step-by-step explanation:
Let soccer ball be B and soccer Jersey be J
so, B+J = 100
since each cost is a whole dollar,
Soccer ball cost " $40
Soccer Jersey cost $60
The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?
Answer:
6:07
Step-by-step explanation:
8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.
what is the rule for the reflection
Answer:
The third one
Step-by-step explanation:
It transitions into the negative x
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
How many nets are there for a triangular pyramid?
The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.
A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.
Triangular pyramid is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.
It has 6 edges, 4 faces, 4 vertices.
A regular triangular pyramid has equilateral triangles all four faces
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Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
* Tip: Use this symbol (/) to show division
Answer:
(b-20)/4
Step-by-step explanation:
She had b beads initially and gave 20 to his sister;
what he would have now will be;
b - 20
So he made 4 beads with the remaining
To know the number of beads on each of the four , that will be dividing the number of beads we have left by 4
Mathematically;
that will be ;
(b-20)/4
NEED HELP
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
The constant of proportionality from the proportional relationship is 3/2
What is Proportional RelationshipA proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.
To determine the constant of proportionality, we need to use the proportional relationship given.
y = kx
k = constant of proportionality
3/8 = k(1/4)
Solve for k
k = [(3/8) / (1/4)]
k = 3/2
k = 1.5
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Jamel is making lasagna. He has 14 cups of cheese. Each pan of lasagna requires 1 3/4 cups of cheese. How many pans of lasagna can Jamel make?
Answer:
he can make 8 pans of lasagna
Step-by-step explanation:
14÷1 3/4=8
A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ball if you do not include it's hollow core
Answer:
V = 21145.01 mm³
Step-by-step explanation:
Given that:
The radius of the gumball = 30 mm
The radius of the spherical hollow-core = 28 mm
Consider the radius of the gumball to be \(r_2\) and the radius of the spherical hollow-core to be \(r_1\). Then;
The volume of the gumball can be determined by using the formula of a sphere.
\(V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)\)
\(V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)\)
V = 21145.01 mm³
please help. its on ratio
Answer:
You: 6
Friend: 12, 16
Your friend sold 16 tickets
Step-by-step explanation:
u-U sincerely~ MiHa
During a snowstorm at a ski resort, snow was falling a rate of 2 inches per hour. When the snow began, there were 8 inches on the ground. Write a linear model for the snow (S) in terms of hours (h).
The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.
To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:
The initial amount of snow on the ground when the snowstorm began is 8 inches.
The snow is falling at a rate of 2 inches per hour.
Based on this information, we can establish the following linear relationship:
S = 2h + 8
In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.
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can anyone help with this question? lol
Answer:
it is a ray
Step-by-step explanation:
because all the other ans do not have the properties which are mentioned in the question
what is the relationship between the confidence interval and the margin of error? the margin of error is twice the confidence interval. the confidence interval is half the width of the margin of error. none of these the confidence interval is twice the margin of error.
The margin of error is a measure of the precision of the estimate and represents the range within which the true population parameter is likely to lie with a specified level of confidence. The confidence interval is half the width of the margin of error and provides a measure of the certainty of the estimate.
1. Determine the confidence interval: The confidence interval is a range of values that is likely to include the true population parameter with a certain level of confidence. To calculate the confidence interval, we need to know the sample size, sample mean, sample standard deviation, and the desired level of confidence.
2. Calculate the margin of error: The margin of error is a measure of the precision of the estimate. It represents the range of values within which the true population parameter is likely to lie with a specified level of confidence. To calculate the margin of error, we multiply the confidence interval by 2.
3. Interpret the results: The confidence interval and margin of error provide information about the precision and certainty of the estimate. A wider confidence interval indicates lower precision, while a smaller margin of error indicates higher precision. The level of confidence tells us how certain we can be that the true population parameter lies within the given range.
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The graph of a cosine function has an amplitude of 4, a vertical shift of 1, and a period of 3. These are the only transformations of the parent function.Write the equation of the graph in terms of cosine?
The solution:
Given:
cosine function has an amplitude of 4, a vertical shift of 1, and a period of 3.
Required:
To write out the equation of the graph in terms of cosine.
So, the required equation is:
\(f(x)=4\cos(\frac{2\pi}{3}x)+1\)Therefore, the correct answer is:
\(f(x)=4\cos(\frac{2\pi}{3}x)+1\)Find the range of the graphed function.
A. Y is all real numbers
B. Y>_0
C. 0<_y<_10
D. -9<_y<_5
Btw, <_ or >_ is the greater than or equal to or less than or equal to sign.
Answer:
The range of the function should be:
-9 ≤ y ≤ 5
Hence, option D is true.
Step-by-step explanation:
We know that the set of values of the dependent variable for which a function is defined.
From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.
i.e.
at y = 5, the graph gets its maximum value
at y = -9, the graph gets its minimum value
Thus, the range of the function should be:
-9 ≤ y ≤ 5
Hence, option D is true.
A Scottish dance team used 140 yards of tartan to make
dancing skirts. The heights of the team members vary. The skirt
3
pattern for the shorter members uses 3- yards of fabric, and
4 3
the skirt pattern for the taller members uses 4 yards of fabric.
4
Let s represent the number of shorter skirts and t represent the
number of longer skirts. Which equation represents the
relationship between the number of short skirts and the number
of long skirts that were made?
A
C
3 3
3 +4
4 4
3
3
st=140
140
3 3
4 4
B s+t=3 +4
D
-t=140
The equation showing the relation between shorter and longer skirt is 3s+4t = 140.
Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.
The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.
So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,
So, if there are s short skirts and t long skirts,
So,
The relation will be =
3s + 4t = 140
Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.
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use the difference of two squares to find the value of 612 - 392
Answer: 4 (153 - 98)
formula is a^2-b^2=(a+b)(a-b)
factor out the GCF:
4(153−98)
both terms are not perfect squares so
you cant factor it further.
I need help with this math problem.
Answer:
x = 2 , y = 4
Step-by-step explanation:
If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
From the parallelogram we see:
2x = y
y = 2x
Substitute y = 2x in 2(y) - 2 = 6, gives:
2(2x) - 2 = 6
4x = 6 +2
x =2
Substitute x = 2 in y = 2x, gives:
y = 2(2)
y = 4
So x = 2 , y = 4
Leah is an administrator for a large
school district. She wants to know how
many hours students spend on
homework each week. She asks the
question to 250 randomly selected eighth
grade students. The results are shown in
the table. Which of the following
inferences about the eighth grade
students in the school district are valid?
Hours. Students
Less than 2 44
2 to less than 4 88
4 to less than 6 90
At least 6 28
A. There are more students who spend at least 4 hours per week on homework than students who spend less than 4 hours per week on homework.
B.About 11% of students in the school district spend at least 6 hours per week on homework.
C. About 50% of students who spend less than 4 hours per week on homework spend less than 2 hours per week.
D.About 1 of every 3 students who spend at least 4 hours per week on homework spend at least 6 hours per week.
Based on the data provided in the table, the valid inferences are A, B and C, while inference D cannot be confirmed.
What is a valid inference?A conclusion that is logical, rational, and backed by solid reasoning, statistical analysis, or scientific principles is considered to be a valid inference when it is derived from the available facts or evidence. It should be founded on trustworthy and pertinent data and adhere to accepted rules of statistical or scientific reasoning.
In addition to being compatible with accepted theories, guiding principles, or previous research findings, a valid inference should take into account any constraints and potential sources of mistake in the data or evidence. In other terms, a valid inference is a plausible and convincing conclusion that may be reached using acceptable statistical or scientific techniques from the relevant information or evidence.
A. Valid: There are more students who spend at least 4 hours per week on homework than students who spend less than 4 hours per week on homework.
B. Valid: Approximately 11% of students in the school district spend at least 6 hours per week on homework, based on the "At least 6" category which has 28 students out of the total 250 students surveyed.
C. Valid: About 50% of students who spend less than 4 hours per week on homework spend less than 2 hours per week, based on the total number of students in the "Less than 2" and "2 to less than 4" categories compared to the total number of students in the "Less than 4" category.
D. Not valid: The table does not provide data specifically about students who spend at least 4 hours per week on homework and their hours of homework beyond 4 hours, so this inference cannot be made.
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Which of the following shapes is convex?
М.
OA)
OB)
W
OC)
OD
Answer:
I think the correct answer is c hope this helps
-2y - 10 = x -10x
- y = −14
Answer:
Step-by-step explanation:
-2y-10=x-10x
-2(-14) - 10= x - 10x
28 - 10 = x - 10x
18= x-10x
18= -9x
/-9 /-9
-2=x
Each side when you plug in (-2) for x and (-14) for y you get 18.
If, when you plug in the number, you get different numbers for each side, then that means there's a mistake and the answer is wrong.
Hope this helps!