Answers
Answer:
21.6 units² (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Given:
a = 2b = 8h = 4r = 2 ÷ 2 = 1[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]
Area of the trapezium
1/2(Sum of parallel sides)×Height1/2(2+8)(4)2(10)20units²Area of semicircle
π(2/2)²/2π/21.57units²Total area
20+1.5721.6units²(Rounded)Related Questions
can someone help me here
NONSENSE=REPORT
Answers
Answer:
See below ~
Step-by-step explanation:
Circle ABA, CA, FA, GA∡CEG, ∡FCBCBGF∡CB, ∡BG, ∡GF, ∡CG∠CAB, ∠BAG, ∠GAFCF∠BAG, ∠GAFEC, CBThe marked price of a fan is Rs. 1800. If a shopkeeper allows a discount of 10% and still makes a profit of 20%, at what price had the shopkeeper bought the fan?
Answers
The shopkeeper had brought the fan at Rs.1350
A function is shown: f(x) = 16x2 − 1.
Choose the equivalent function that best shows the x-intercepts on the graph.
f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)
Answers
The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)
How to determine the equivalent function?The function is given as:
f(x) = 16x^2 - 1
Express 16 as 4^2 and 1 as 1^2
f(x) = (4x)^2 - 1^2
Apply the difference of two squares
f(x) = (4x + 1)(4x -1)
Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)
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A class has between 30 to 40 students. each boy in the class brings 15 chocolate bars for a class party to celebrate teachers day. the chocolate bar are shared equally among the 20 girls of the class and their form teacher with no leftovers. 1)how many students are there in the class? 2)how many chocolate bars does their form teacher receive?
Answers
5x
4x
What is the value of x? (3 ponts)
_/3
Answers
Step-by-step explanation:
I assume the 2 vertical lines are parallel.
then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).
that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.
and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).
so,
5x + 4x = 180
9x = 180
x = 20
In the figure below lines p and q are are parallel. What do you notice?
35 points
Answers
Answer:
∠1 and ∠8 are alternate exterior angles which is when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are (their measures are) equal.
Simple terms: 1 and 8 are the same angle
You have $320 to buy 24 tickets for a football game. You need to buy some of each kind of seat. You want to spend most of the money. How many of each type of ticket can you buy? Find two different solutions to the problem. Use an equation to show each solution.
Answers
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
easy :)
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
0.09
.............................
Michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table. step 1 draw a rectangle around parallelogram abcd. step 2 find the area of the rectangle. step 3 find the area of the four right triangles created in the corners of the rectangle. step 4 subtract the area of the right triangles from the area of the rectangle. to solve the problem using these steps, what are the dimensions of the rectangle he should draw? on a coordinate plane, parallelogram a b c d has points (1, negative 1), (3, 2), (1, 3), and (negative 1, 0). 2 units by 4 units 3 units by 2 units 4 units by 4 units 5 units by 6 units
Answers
The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.
What is a rectangle?A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.
Therefore, the dimensions of the rectangle Michael should draw is given by:
Dimension = 4 × 4 units.
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Answer:
option C
Step-by-step explanation:
What percent of 4c in each expression?
0.2c
Answers
The percentage of 4c in the expression 0.2c is 2000%
How to determine the percentage of 4c?The expression is given as:
0.2c
The percentage of 4c is then calculated as:
4c/0.2c
Evaluate the quotient
20
Express as percentage
2000%
Hence, the percentage of 4c in 0.2c is 2000%
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You cut the 2 inch by 4 inch piece of wood along the indicated diagonal. Find the perimeter and area of the cross section formed by the cut
Answers
The perimeter of the cross section formed is 44.22 in.
The area of the cross section formed is 72.44 in.²
Calculating the area and perimeter of a rectangle
From the question, we are to determine the perimeter and area of the cross section formed by the cut
As indicated in the diagram,
If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.
Now, we will calculate the length of the diagonal,
Let the diagonal be d
Then, we can write that
d² = 2² + 18²
d² = 4 + 324
d² = 328
d = 18.11 in.
Thus,
The length of the rectangular cross-section is 18.11 in.
Now, using the formula for calculating the perimeter of a rectangle
P = 2(l +w)
Where P is the perimeter
l is the length
and w is the width
For the rectangular cross-section
l = 18.11 in.
w = 4 in.
Putting the parameters into the formula,
P = 2(18.11 + 4)
P = 2(22.11)
P = 44.22 in.
∴ The perimeter of the cross section formed is 44.22 in.
For the area of the cross section
Using the formula for calculating the area of a rectangle,
A = l × w
∴ Area of the cross section formed = 18.11 × 4
Area of the cross section formed = 72.44 in.²
Hence, the area of the cross section formed is 72.44 in.²
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a series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number?
42.5
190.0
465.0
740.0
Answers
Answer:
ai = 190.0
Step-by-step explanation:
I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.
Assuming the series is comprised of numbers in an arithmetic progression, you will have... (see attachment for better explanation and step by step.)
Find the range of the data.
41, 64, 97, 12, 8, 8
Answers
Answer:
89
Step-by-step explanation:
How do you find the range of a data set?first put you're data set from lowest to highest, then subtract your highest by your lowest valueData:8, 8, 12, 41, 64, 97
We can clearly see that our highest value is 97, and our lowest in 8.
97 - 8 = 89Hence our range of data is 89.Please help me i need help few
Answers
Angle A is right
Angle B is obtuse
Angle C is acute
Angle D is right
Explanation:
Right angles are 90°
A cute angles are anything less than 90°
Obtuse angles are anything larger than 90°
7 Question Find the value of x.
Answers
Answer:
x = 15
Step-by-step explanation:
45/3 = 15
Pls help snaehdusjshdgydudjdjdhd
Answers
Answer:
17 games
Step-by-step explanation:
There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.
helpppppp meeee728727/7/
Answers
i could say you are correct.
kaii~ <3
When the function is given in vertex form y = a (x minus h) squared + k, how is the vertex found? a. (k, h) c. (h, k) b. (x, y) d. (y, x)
Answers
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k). The vertex is found by (x, y).
What is the vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form.
It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, we used this vertex formula thing since it is visible that there are quadratic functions.
Otherwise, you had to use calculus to get critical points, then a second derivative of functions to find the character of critical points as minima or maxima or saddle, etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that the quadratic equation represents.
For the form
[tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained form, we get the coordinates of the vertex as:
[tex]h = -b/2a,, \\ k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex]is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
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HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSEDDDD
Answers
Answer:
n-p for the first, p-n for the second
Step-by-step explanation:
Plsss helppp its worth 20 points
Answers
Answer:
a. sides BC & EF
b. <A & <D
2a. A / B, not that sure
Which function rule is represented by the table?
y=4x-1
y=3x+2
y=2x+3
y=x+2
Answers
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
Sure hope this helps you
what is the equation of the line that contains the point (6-1) and is perpendicular to line whose equation is y=2x+1
A(9,5)
B(-3,1)
C(6,3)
D(-9,7)
Answers
Answer:
y = -x/2 + 2
what are those mutli choice answers?
if that point is (6,1)
y = -x/2 + 4
Step-by-step explanation:
the perpendicular line has a gradient which is the negative inverse, that is -1/m
so the equation will be of the form y = -x/2 + c
substituting in the point (6, -1)
-1 = -6/2 + c
c = 2
so y = -x/2 + 2
Jamar read 252 pages in 3/4 of an hour. At what rate, in pages per hour, did he read?
Answers
Answer:
336 pages per hour (pretty fast)
Step-by-step explanation:
It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)
Answer:
336 pages per hourStep-by-step explanation:
Given rate is
252 pages per 3/4 of an hourDivide both numbers by 3/4 to get the unit rate per hour
252 ÷ 3/4 = 252 × 4/3 = 1008/3 = 336what is the range of the function graphed above?
Answers
Answer:
The range of the function is [0 , ∞) ⇒ answer B. Step-by-step explanation: * lets revise the meaning of the domain and the range - The domain is the values of x - The domain is all the values of x which make the function is defined - If there are some values of x make the function undefined, we exclude these values from the domain
Step-by-step explanation:
please mark me brainliestRectangle ABCD is going to be reflected over the x-axis. Which of the following will not be one of the new coordinates? Group of answer choices (6, -6) (-6, 2) (-3, 2) (-3, 6)
Answers
Using translation concepts, it is found that the following rule is applied to each point:
(x,y) -> (x,-y).
The point that is does not result from this transformation will not be one of the new coordinates.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:
(x,y) -> (x,-y).
Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.
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sam borrows 5500 at a rate of 12% interest per year what is the amount due at the end of five years if the interest is compounded continuously
Answers
Answer:
$ 10 021 . 65
Step-by-step explanation:
The equation for continuous compounding is e^(i * t)
where i = decimal yearly interest t = years
FV = 5500 e^(.12 * 5) = 10 021 .65
PLEASE HELP MEEEEE ON THISSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS DUE VERY SOON SO PLEASE HJELPPPPIHFIUHGIU
IT IS QUESTIONS 3-8 AND I DON'T UNDERSTAND :((((((((((( (Not 7)))!!!!!!!!!!!
Answers
The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.
How to solve the word problem?The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
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Write the equality in the given diagram below
Answers
Answer:
The inequality for this diagram is x≥-1
Please the explanation... it always helpsssss....
Step-by-step explanation:
The first step is to look at the circle... is it filled in or not... in this case it is...
meaning the symbol is greater than or equal to OR less than or equal to
next the arrow is pointing to the right meaning the symbol must be greater than or equal to
then look at the value at the filled in circle (which in this case is -1)
meaning the inequality must be x≥-1
i really hope this helps!!!!
Donna travels 70 miles at an average speed of 40 mph. she then travels a further 30 miles. the average speed for the entire journey is 44 mph. assuming donna didn't stop, what was her average speed for the final 30 miles to 2 dp?
Answers
If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph
How to Calculate Average Speed?We are given;
Distance travelled by Donna = 70 miles
Average Speed of Donna = 40 mph
Additional Distance travelled = 30 miles
Average speed for entire journey = 44 mph
We know that;
time = distance/speed
Thus
Total time = (70 + 30)/44
Total time = 100/44 h
Time 1 = 70/40 = 7/4 hr
Time 2 = 30/v
Thus;
30/v + 7/4 = 100/44
Multiply through by 44 to get;
1320/v = 100 - 77
v = 1320/23
v = 57.39 mph
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Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?
Answers
Hope it helped