Answers
Answer:
A = 48 square units
Step-by-step explanation:
The dimensions between two markings on the coordinate plane = 2 unit
The trapezoid is located sideways
The area of a trapezoid, A = ((a + b)/2) × h
Where;
a = The long base side
b = The short base side
h = The height
The long base side length AT = 4 space between markings = 4 × 2 units = 8 units
The short base side length SR = 2 space between markings = 2 × 2 units = 4 units
The height, h = 4 space between markings = 4 × 2 units = 8 units
The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.
Related Questions
Find the square root of 362.1409 by division method
Answers
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A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answers
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
How much should be added to 58.4 to makes 400?
Answers
Answer:
341.6
Step-by-step explanation:
400-58.4=341.6
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
Answers
8+12+12+9=41
41/4= 10.25
What are the solutions of the quadratic equation 2x2 - 4x = 3?
Answers
Answer:
a 1+- square root of 10
Step-by-step explanation:
subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.
If there was a total of 80 vehicles an a percentage of 70% of cars how much car was used
Answers
Answer:
56
Step-by-step explanation:
I don't quite understand your question but I assumed you meant what is 70% of 80
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answers
-12+-15+7=-20
Answer:
The answer is -20.
Step-by-step explanation:
To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.
Next, solve the expression, and the answer will be -20.
Please help...*puppy eyes*
(Will pick brainliest)
Answers
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
Is pi over 2 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.
Is this true or false!!!
Answers
Answer:
true
Step-by-step explanation:
This is true because the basic graph of a fifth degree polynomial with a positive coefficient goes right and up forever(encapsulating y-values until infinity) and left and down forever(encapsulating y-values until negative infinity). This means the range is all real numbers.
Below is a graph to comprehend it more visually:
The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?
(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)
Answers
Answer:
D) [tex](-2,-9)[/tex]
Step-by-step explanation:
Vertex Form of a Vertical Parabola:
[tex]y=a(x-h)^2+k[/tex]
Vertex -> [tex](h,k)[/tex]
Axis of Symmetry -> [tex]x=h[/tex]
Vertical Scale Factor -> [tex]a[/tex]
To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].
The coordinates of the vertex of the graph is (-2, -9).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
x² + 4x - 5
Given that axis of symmetry of the function is x = -2.
So the x coordinate of the vertex = -2.
y coordinates = f(-2) = 4 - 8 - 5 = -9
Hence the vertex is (-2, -9).
Learn more about Vertex form here :
https://brainly.com/question/13921516
#SPJ5
Find values of x, HJ, and JK.
Answers
Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
Answers
A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if students work too much and therefore are spending less time on their classes than they should be. The researcher chooses a sample of 150 students and found that the sample mean is 7.10 hours and the sample standard deviation is 5. Construct a 90% confidence interval estimate of the mean hours a week students are working. a. What is the point estimate: _____________b. Find the critical value: ________________ Round to 3 decimal places. c. What is the margin or error: __________________ Round the answer to three decimal places d. Construct the confidence interval: Express the answer as (x,x), ______________ round to one decimal place. e. State the final Conclusion.
Answers
Answer:
(a) Point estimate = 7.10
(b) The critical value is 1.960
(c) Margin of error = 0.800
(d) Confidence Interval = (6.3, 7.9)
(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Step-by-step explanation:
Given
[tex]\bar x = 7.10[/tex] -- sample mean
[tex]\sigma=5[/tex] --- sample standard deviation
[tex]n = 150[/tex] --- samples
Solving (a): The point estimate
The sample mean can be used as the point estimate.
Hence, the point estimate is 7.10
Solving (b): The critical value
We have:
[tex]CI = 90\%[/tex] --- the confidence interval
Calculate the [tex]\alpha[/tex] level
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1 - 90\%[/tex]
[tex]\alpha = 1 - 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Divide by 2
[tex]\frac{\alpha}{2} = 0.10/2[/tex]
[tex]\frac{\alpha}{2} = 0.05[/tex]
Subtract from 1
[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]
[tex]1 - \frac{\alpha}{2} = 0.95[/tex]
From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:
[tex]z = 1.960[/tex]
Solving (c): Margin of error
This is calculated as:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]
[tex]E = 1.960 * \frac{5}{12.25}[/tex]
[tex]E = \frac{1.960 *5}{12.25}[/tex]
[tex]E = \frac{9.80}{12.25}[/tex]
[tex]E = 0.800[/tex]
Solving (d): The confidence interval
This is calculated as:
[tex]CI = (\bar x - E, \bar x + E)[/tex]
[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]
[tex]CI = (6.3, 7.9)[/tex]
Solving (d): The conclusion
We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Awnser this for brainliest
Answers
Answer:
Missing number is 1
Step-by-step explanation:
3(2x+1)
Using distributive property,
=>3(2x)+2(1)
=>6x+2
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Answers
Answer:
4 muffins is $2.75
4*3=12
1 dozen is 12
2.75 * 3 =$ 8.25
Step-by-step explanation:
Which of the quotients are equivalent to -(48/17)
Answers
Answer:
oiie4546
Step-by-step explanation:
someone help me please. this is annoying. which ones are right?
Answers
9514 1404 393
Answer:
B, C, D, E
Step-by-step explanation:
A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.
The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."
The nation of Finlandia has 120,000 people. Of these, 20,000 are children under 16, 72,000 have jobs, 8,000 don't have jobs but are looking for work, and 20,000 are retired. With this info, calculate the labor force participation rate and the unemployment rate.
Answers
Answer: labor force participation rate =60%
unemployment rate = 6.67%
Step-by-step explanation:
The labor force participation rate is computed as
[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]
i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]
[tex]= 0.6\ or\ 60 \%[/tex]
The unemployment rate is computed as:
[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]
Hence, labor force participation rate =60%
unemployment rate = 6.67%
What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14
Answers
Answer:
2y +3x
Step-by-step explanation:
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a shopkeeper bought 1000 tumblers at rs. 8 each. 100 glass tumbler were broken and he sold the rest at rs. 10 each. find his gain oe loss percent
Answers
Answer:
12.5% profit
Step-by-step explanation:
he spents $8000 (1000×8)HE sells 900 of them for $10 making $9000, his profit is $1000 . profit divided by original price multiplied by 100 . . (1000/8000×100)In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand. She arrives at school before 8 am when
Answers
Answer:
She walked for 46 minutes
Step-by-step explanation:
Given
When she leaves home
[tex]h = 7am[/tex]
[tex]\theta_1 = 110^o[/tex]
When she arrives at school
[tex]H = 8am[/tex]
[tex]\theta_2 = 110^o[/tex]
Required
Time to walk to school
First, we convert [tex]\theta_1 = 110^o[/tex] to minutes:
[tex]\theta_1 = \frac{110}{6}[/tex]
[tex]\theta_1 = 18.33[/tex]
[tex]\theta_1 = 18[/tex] --- approximated
From the question, we understand that she left home past 7.
This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.
Also, the minute hand is between 0 and 30 minutes
Subtract 18 minutes from 30 minutes;
[tex]Mins = 30-18=12[/tex]
She left home at 7:12am
Similarly;
[tex]\theta_2 = \theta_1 = 18\ mins[/tex]
From the question, we understand that she arrived before 8.
This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes
Also, the minute hand is between 30 and 60 minutes mark.
At the 8hour hand, the minutes is 40
Add 18 minutes from 40 minutes;
[tex]Mins = 40 + 18 = 58[/tex]
She arrived at 7:58am
The difference (d) is:
[tex]d =7:58am - 7:12am[/tex]
[tex]d =46[/tex]
Anyone can help :(((:)
Answers
Answer:
Below
Step-by-step explanation:
The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.
This gives A=11²π, which by solving the square gives A=121π.
From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.
**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!
According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 25% federal income tax
bracket?
Single
Taxable
But not
income is
Bracket
over
over
$0
8.350
10%
8.650
33.950
15%
33,950
82 250
25%
82,250
171,550
28%
171,550
372,950
33%
372,950
35%
Answers
Based on the table, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
What is taxation?Taxation can be defined as the involuntary (compulsory) fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public institutions and activities.
Based on the table, the range of income for a married couple that is filing singly in the 25% federal income tax bracket is $33,950 to $82,250.
This ultimately implies that, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.
Read more on tax here: https://brainly.com/question/25783927
Answer:
$137,050
Step-by-step explanation:
That is the correct answer on the test.
Angle Measurements 1”” degree help find out what’s the other side
Answers
Answer:
80 degree
Step-by-step explanation:
missing angle + 100 degree = 180 degree (being co interior angles )
missing angle = 180 - 100
missing angle 80 degree
1/2h + 9 = 17 solve for h
Answers
Answer:
1/2h+9=17
We move all terms to the left:
1/2h+9-(17)=0
Domain of the equation: 2h!=0
h!=0/2
h!=0
h∈R
We add all the numbers together, and all the variables
1/2h-8=0
We multiply all the terms by the denominator
-8*2h+1=0
Wy multiply elements
-16h+1=0
We move all terms containing h to the left, all other terms to the right
-16h=-1
h=-1/-16
h=1/16
What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet
Answers
Answer:250 ft
Step-by-step explanation:
5 ft x 4 ft = 20
5 ft x 6 ft = 30
20 + 30 = 50
50 x 5 ft = 250 ft
I hope this helps and if its wrong im sorry
Find each difference. (10 Points!)
Answers
Answer:
1. -6y^4 +4y^2 -12
2. x - 19
Step-by-step explanation:
1.
(6y^4+3y^2-7) - (12y^4-y^2+5)
= -6y^4+ 4y^2- 12
2. 3(x-5) - (3x+4)
= (3x-15) - (3x+4)
= x-19
Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 23 degrees. About how toll is the tree
feet tall
The tree is about _____ feet tall
Answers
Step-by-step explanation:
everything can be found in the picture
Does this graph represent a function? Why or why not?
Answers
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
