What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet. 35.8 feet squared 45.5 feet squared 46.8 feet squared 55.3 feet squared
Answers
Answer:
45.5 sq. feet
Step-by-step explanation:
Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.
In the problem
Parallel sides are bottom and top sides with length of 8.5 feet and 5.5 feet
Thus sum of Parallel sides = 8.5 feet + 5.5 feet = 14 feet
Height = 6.5 feet.
Thus,
area of trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet
The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.
What is the area of a trapezoid?A trapezoid is a quadrilateral with parallel opposite sides and a height.
Mathematically, the area of a trapezoid can be calculated by using the expression:
\(\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}\)
where:
a and b =the two parallel sides of the trapezoidh = height\(\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}\)
\(\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}\)
\(\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}\)
Learn more about calculating the area of a trapezoid here:
https://brainly.com/question/1410008
#SPJ2
Related Questions
Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters
Answers
Answer:I have the same quastion too
Step-by-step explanation:
The population of a town started at 1000, then went up
10%, then down 20%, then back up 10%. The
population of the town ended at
A. 972
B. 968
C. 1024
D. 1000
PLEASE HELP & EXPLAIN ASAP!!!
Answers
You have to work this out step-by-step.
Population started at 1000.
It went up 10%: 1000 + 10%(1000) = 1000+100 = 1100
Now it's 1100
It then went down 20%: 1100 - 20%(1100) = 1100 - 220 = 880
Now it's 880.
It then went back up 10%... I'll let you try the last calculation.
Can you take it from there?
Answer:
Answer is letter D
Step-by-step explanation:
1000 +10% = 1010
1010 -20% = 900
900 +10% = 1000
I don't know if this is right but I tried..
Find the domain {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
Answers
Answer:
domain is just all of the x values while range is all of the y values
so domian is
1,2,3,5,7,8
there are 2 5's but you only put 1
never put two of the same number for range or domain
Step-by-step explanation:
Find the value of n so that the line perpendicular to y = (-1/4)x-1 passes through the points (n, 3) and (4,11).
Answers
Answer:
2
Step-by-step explanation:
You'll need to find the reciprocal of m. -1/4 is your is your m and when you find the reciprocal you flip the number to 4/1 or 4 and change the negative to a positive. Then graph (4,11), you don't need to worry about your y intercept, b, or -1. On your graph go down 4 and over one to the left because it's positive the line should be going like " / " <-- that. Keep going down until your y is three and whatever your x is, is your answer. Ex: (4,11) (3,7) (2,3). Hopefully, you understand :)
What is the product of 456 and 59?
Answers
Answer:
26904
Step-by-step explanation:
what is statistics?
Answers
Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.
Read more about Statistics here https://brainly.com/question/218301
#SPJ1
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answers
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
The model below represents the equation 4a = -20
a
a
II
a
a
Key
-1
What is the value of a?
-5
5
4
Answers
Answer:
-5 is the value of a, 4 × -5 = -20
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
Answers
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure \(90^{\circ}\) or greater" is true.
The assumption is equivalent to the following two statements:
(1) \(m\angle A\text{ } \boxed{ < 90^{\circ}}\)
(2) \(m\angle B\text{ } \boxed{ < 90^{\circ}}\)
Using (1) and (2) and the addition properties of inequalities, we conclude that \(m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}\).
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles \(\angle A\) and \(\angle B\), \(m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}\).
Therefore, the assumption made is false, and the statement "at least one of the angles \(\angle A\) and \(\angle B\) has measure \(90^{\circ}\) or greater" is true.
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)
Answers
Answer:
0.31 ft/s
Step-by-step explanation:
The volume of a cone is given by the formula:
V = πr²h/3
From the question, we are given the diameter and the height to be equal, thus;
r = h/2
Putting h/2 for r into the volume equation, we have;
V = (π(h/2)²h)/3
V = πh³/12
Using implicit derivatives,we have;
dV/dt = (πh²/4)(dh/dt)
From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.
We have;
dV/dt = 35 ft³/min and h = 12ft
Plugging in the relevant values, we have;
35 = (π×12²/4)(dh/dt)
dh/dt = (35 × 4)/(144 × π)
dh/dt = 0.3095 ft/s ≈ 0.31 ft/s
What is 1/4 divided by 4
Answers
Which question is a statistical question? A. How many children are there in my neighborhood? B. How many families in my neighborhood include children? C. How many children are there in each family in my neighborhood? D. How many children in my neighborhood have siblings? E. How many families in my neighborhood have more than one child?
Answers
Answer:
I think the answer is C
Step-by-step explanation:
I hope this helps
The children are there in each family in my neighborhood.
We have given that the question is a statistical question
We have to determine the correct question in statistical data.
What is the statistical data?
A statistical question is a question that can be answered by collecting data that vary.
Therefore, The children are there in each family in my neighborhood.
Therefore option C is correct.
To learn more about the statistical question visit:
https://brainly.com/question/12150562
SPJ2
Which polynomial represents the sum below? 8x^2+2x+8 + 3x^3+7x+4
Answers
Answer:
\(26 \times21 \frac = 1 > 262 {2}^{2} {?}{?} \)
Fill in the blanks to prove that the sum of the measures of the interior angles in this triangle is equal to 180°. 21° + 49° + ° = °
Answers
Based on the fact that the sum of the interior angles need to be equal to 180°, the missing angle is 110°
What is the missing angle?The sum of all the interior angles need to add up to 180° which means that to find the missing angle, you should subtract the known angles from 180°.
The missing angle is:
= Total angle - Known angles
Solving for the missing angle gives:
= 180 - 21 - 49
= 180 - 70
= 110°
Find out more questions on missing angles at https://brainly.com/question/23991796
#SPJ1
Answer:
Step-by-step explanation:
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
a triangle has a base of 8 feet and a height of 6 feet. Ben says that the area of the triangle is 48 square feet. explain what Ben's mistake was. rhen show how to get the correct answers
Answers
What is the value of x
Enter your answer in the box
Answers
Answer:
x = 8 units
Step-by-step explanation:
Because this is a right triangle, we can find x using the Pythagorean theorem, which is given by:
a^2 + b^2 = c^2, where
a and b are the shorter sides called legs,and c is the longest side called the hypotenuse (always opposite the right angle).In the triangle, the 6 unit side and the x unit sides are the legs while the 10 unit side is the hypotenuse.
Thus, we can solve for x by plugging in 6 for a and 10 for c in the theorem and solving for a (aka x, simply a in the theorem):
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = 8
x = 8
Thus, x is 8 units.
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them
play baseball. There are 8 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answers
The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball.
There are 8 students who play neither sport.
Either (or both) sports = (23 - 8) = 15 students play
Both = [11 basketball and 13 baseball) - 15] = 9 must play both
Probability=9/23
Probability=0.39 or 39%
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
To know more about probability, click on the link
https://brainly.com/question/24756209
#SPJ1
Buddy and Michael get into a
snow fight with some boys on the
way home from school. It seems
as though Buddy can throw 4
times as many snowballs as the
boys can. If Buddy throws 1200
snowballs, how many did the boys
throw? Write an equation and
solve.
Answers
Answer:
1500
Step-by-step explanation:
1200/4=300
1200+300=1500
Answer:
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Step-by-step explanation:
Equations
Let's call
x = number of snowballs the other boys throw.
4x = number of snowballs Buddy throws.
We know Buddy throws 1200 snowballs, thus
4x = 1200
Divide by 4:
x = 1200/4
x = 300
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
In a sequence of numbers,
a₁ = -6, a3 = 4, a5 = 14, a6 = 19,
and a 24. Based on this
information, which equation
can be used to find the nth
term in the sequence, an?
Answers
Answer:
Step-by-step explanation:
To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.
From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.
Using the given values of a₁, a₃, and a₅, we can find the first few differences:
a₃ - a₁ = 4 - (-6) = 10
a₅ - a₃ = 14 - 4 = 10
So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:
a₂ = a₁ + d = -6 + 10 = 4
a₄ = a₃ + d = 4 + 10 = 14
a₆ = a₅ + d = 14 + 10 = 24 - 1
a₇ = a₆ + d = 24 - 1 + 10 = 33
Now, we can find the second difference between consecutive terms:
a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0
a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5
a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9
Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:
an = an² + bn + c
Substituting the values we know, we get three equations:
a₁ = a₁² + b₁ + c --> -6 = c
a₃ = a₃² + b₃ + c --> 4 = 9a + b + c
a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c
Solving this system of equations, we get:
a = 1/2, b = 19/2, and c = -6
Therefore, the equation for the nth term in the sequence is:
an = (1/2)n² + (19/2)n - 6.
T(n)=5n-11
Question is in the picture, please explain your answer with steps.
Answers
Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.
How to find the costs?Let's define the variables:
x = cost of the washer.
y = cost of the dryer.
We know that the cost combined is $1000, then:
x + y = 1000
And the washer cost 3 times the cost of the dryer, then we will get:
x = 3y
So we have a system of equations, we can replace the second equation into the first one, so we will get:
3y + y = 1000
4y = 1000
y = 1000/4
y = 250
The cost of the washer is:
x = 3*250 = 750
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Complete the formula, where P is the population and and is the number of years
Answers
An exponential growth model has the form:
\(P=P_0(1+r)^n_{}\)we know that the initial population was 3000 and that after seven years the population was 3525, plugging this vales and solving for the unknown we have:
\(\begin{gathered} 3525=3000(1+r)^7 \\ (1+r)^7=\frac{3525}{3000} \\ 1+r=\log _7(\frac{3525}{3000}) \\ 1+r=0.083 \end{gathered}\)Therefore the missing part of the function is 0.083
hello help me with this question thanks in advance
Answers
\(\bold{\huge{\underline{ Solution \:1}}}\)
Here, We have given
The sides of a triangle are 8 , 15 and 18 The one of the side of the similar traingle is 10.Let assume the given triangle as ΔABC and ΔXYZ
According to the similarity theorem
If two triangle's are similar then the ratio of their corresponding sides are also equal .Therefore, By using above theorem :-
\(\sf{\dfrac{ A}{X}}{\sf{=}}{\sf{\dfrac{ B}{Y}}}{\sf{=}}{\sf{\dfrac{ C}{Z}}}\)
Subsitute the required values
\(\sf{\dfrac{ 8}{10}}{\sf{=}}{\sf{\dfrac{ 15 }{Y}}}{\sf{=}}{\sf{\dfrac{18}{Z}}}\)
For other two sides of another similar triangle
\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 15}{Y}}}\)
\(\sf{Y =15}{\sf{\times{\dfrac{ 10}{8}}}}\)
\(\sf{Y =15}{\sf{\times{\dfrac{ 5}{4}}}}\)
\(\sf{Y = }{\sf{\dfrac{ 75}{4}}}\)
\(\bold{Y = 18.75 }\)
And,
\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 18}{Z}}}\)
\(\sf{Z =18 }{\sf{\times{\dfrac{ 10}{8}}}}\)
\(\sf{Z =18}{\sf{\times{\dfrac{ 5}{4}}}}\)
\(\sf{Z = }{\sf{\dfrac{ 90}{4}}}\)
\(\bold{Z = 22.5 }\)
Hence, The two sides of the another similar triangle is 18.75 and 22.5
\(\bold{\huge{\underline{ Solution \:2}}}\)
Here, We have
Two similar triangles Whose sides are 4 , 12 ,20 and 5 , 15 , 25Let assume the two triangle be ΔABC and ΔPQR
According to the similarity theorem :-
If two triangle's are similar then the ratio of their corresponding sides are also equal .That is,
\(\sf{\dfrac{ A}{P}}{\sf{=}}{\sf{\dfrac{ B}{Q}}}{\sf{=}}{\sf{\dfrac{ C}{R}}}\)
Subsitute the required values,
\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\dfrac{ 12}{15}}}{\sf{=}}{\sf{\dfrac{ 20 }{25}}}\)
\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\cancel{\dfrac{ 12}{15}}}}{\sf{=}}{\sf{\cancel{\dfrac{ 20 }{25}}}}\)
\(\bold{\dfrac{4 }{5}}{\sf{=}}{\bold{\dfrac{ 4}{5}}}{\sf{=}}{\bold{\dfrac{ 4 }{5}}}\)
Hence, The scale factor of the given similar triangles is 4/5
\(\bold{\huge{\underline{ Solution \: 3}}}\)
Here, we have given that
A map in Davao City has a scale factor of 1 cm to 0.5 kmThat is, 1 : 0.5But,
We have to find the distance corresponds to an actual distance of 12 km.Therefore,
According to the scale factor
The actual distance will be
\(\sf{=}{\sf{\dfrac{ 12 }{0.5}}}\)
\(\bold{ = 24 \: km }\)
Hence, The map distance corresponds to actual distance of 12 km is 24 km.
#3 Answer:
The other sides are 18.75 and 22.5
#3 Step-by-step explanation:
Because of the similar triangle
So, \(\frac{8}{10}=\frac{15}{x}=\frac{18}{y}\) \(\left\{The\ corresponding\ sides\ are\ proportional\right\}\)
\(x=18.75,\ y=22.5\)
#4 Answer:
4:5
#4 Step-by-step explanation:
\(\frac{4}{5}=\frac{12}{15}=\frac{20}{25}=\frac{6}{5}\)
\(So\ the\ scale\ factor\ is\ 4:5\)
#5 Answer:
24 cm
#5 Step-by-step explanation:
\(12\div0.5\)
Calculate
\(\frac{12}{0.5}\)
Multiply both the numerator and denominator with the same integer
\(\frac{120}{5}\)
Cross out the common factor
24
I hope this helps you
:)
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
Answers
8+3+1=12
1-3/12=3/4
this is easy but im hella lazy and dont feel like doing this pls help me, i mark brainliest! ty ❤️
Answers
Answer:
D. It is a decimal that terminates after 3 decimal places
I hope this helps!
What is the equation of a line that goes through the point(0,2) and has a slope of 1?
Answers
Answer:
y=x+2
Step-by-step explanation:
y - 2 = x- 0 >> y = x + 2
Answer:
y=x+2
Step-by-step explanation:
If there are 80 students in a class and 20 are seniors, what proportion of students are not seniors?
Answers
Answer:
3/4
Step-by-step explanation:
First find the number that are not seniors
80 -20 = 60
60 are not seniors
The ratio of not seniors to total
60/80
Divide top and bottom by 20
3/4
Answer:
60 students
Step-by-step explanation:
80 -20 = 60
What is the measure of angle r
Answers
Answer:
Step-by-step explanation:
you have a pentagon , and the sum of the angles is 540
3x-10+3x-8+5x-2+3x+1+2x+15=16x-4=540
16x-4=540
16x=544
x=544/16=34
the angle= (3x-8)=(3*34)-8=94
Students at two high schools were asked about their plans after graduation. The table displays the results for 300 students at Henderson High School. The bar graph displays the results for 300 students at Johnson High School. Which Statement about the results from Henderson High School and johnson high school must be true?
Answers
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
Options F and G are the correct answer.
We have,
The number of students in Henderson High School.
Work = 96
College = 114
Armed forced = 48
Other = 42
The number of students in Johnson High School.
Work = 30
College = 40
Armed forced = 15
Other = 15
From the information,
The number of students in Work for Henderson High School is greater than Johnson High School.
Now,
Henderson High School:
Armed force and other = 48 + 42 = 90
Mode = college
Johnson High School.
Armed force and other = 15 + 15 = 30
Mode = college
Thus,
Armed force and other for Henderson high school is greater than
Johnson High School.
The mode for each school is college.
Learn mroe about bar graphs here:
https://brainly.com/question/31158559
#SPJ1
