Answers
To solve the area of a complex shape
⇒ best split the shape into smaller regular shapes
⇒ let's split this one into
⇒the rectangle that has a length of 7cm and width of4 cm
⇒ and a pentagon that has a height of 8cm and the two bases of
length 7cm and 19 cm
Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]
Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1: length of one of the bases ⇒ 7cmb2: length of the other base ⇒ 19cmh: length of the height ⇒ 8 cmArea of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]
Total Area = Area of Rectangle + Area of Pentagon
= 104 + 28 = 132[tex]cm^2[/tex]
Hope that helped!
Related Questions
Estimate the square root to the nearest (a) integer and (b) tenth.
46−−√
Answers
Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:
a) Rounded to the nearest integer, the square root of 46 is of 7.
b) Rounded to the nearest tenth, the square root of 46 is of 6.8.
How we round a number?To round a number to the nearest integer, we have to look at the tenths digit.To round a number to the nearest tenth, we have to look at the hundredths digit.If the digit we look is of 5 or greater, we round one to the rounded digit.Using a calculator, we have that the square root of 46 is of 6.78.
7 > 5, hence rounded to the nearest integer, the square root of 46 is of 7.8 > 5, hence rounded to the nearest tenth, the square root of 46 is of 6.8.More can be learned about rounding concepts at https://brainly.com/question/17248958
#SPJ1
Which statement(s) are true?
No event can be impossible.
No event can be certain.
The more unlikely an event, the closer it is to impossible.
The more likely an event, the closer it is to certain.
Answers
Answer:
no event can be impossible
Answer: no event can be impossible
Step-by-step explanation:
PLEASE HELP!
To raise money for malaria research the New York City Rotary Club is going to sell 200,000
raffle tickets. One ticket will have a 8000 dollar prize attached to it. Ten tickets will have a
300 dollar prize attached to it. Seventy-five tickets will have a 50 dollar prize. (As a wam up,
answer for yourselves: what is the total amount of all the prize money?) In addition to the
prize money, to make sure that the tickets are secure, by hiring a company which specializes in
producing anti-counterfeit raffle tickets, the cost of raffle tickets is given by C(20) = 4500+6x.
To cover both the prize money and the cost of producing the raffle tickets, as a warm-up,
what should be the price of each of the 200,000 raffle tickets in order to break even?
Answers
Step-by-step explanation:
so, they want to sell 200,000 tickets (and we assume they can really sell all of these).
they have to pay the prize money afterwards :
1 × $8,000 = $8,000
10 × $300 = $3,000
75 × $50 = $3,750
--------------
$14,750
and they have to pay for the ticket production at the beginning.
this is not really well defined, but I assume the following :
C(20) = 4500 + 6x
x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).
that means the cost for these 200,000 tickets is then
4500 + 6×20 = $4,620
$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).
and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).
so, the total expenses are
$14,750 + $4,620 = $19,370
under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be
19,370 / 200,000 = $ 0.09685 ≈ $0.10
if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.
for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?
then the printing costs would be
4500 + 6×200000 = $1,204,500
and the total expenses would be
$14,750 + $1,204,500 = $1,219,250
and the prize per ticket would have to be
1,219,250 / 200,000 = $ 6.09625 ≈ $6.10
The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Amount calculationGiven that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:
1 x 8000 + 10 x 300 + 75 x 50 = X8000 + 3000 + 3750 = X14750 = X14750 / 200000 = Z0.07375 = ZTherefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Learn more about amount calculation in https://brainly.com/question/14695611
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
Answers
Answer:
Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2
Step-by-step explanation:
Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)
If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.
Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.
We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.
The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.
The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.
Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Period :
Difference between two successive crest or trough is known as period, so here :
period = 9 - 3 = 6
Frequency
Now, we know that frequency = 1/period
So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz
Amplitude (A) = 4 (flipped)b = 2π ÷ Period = 2π /6 = π/3 k = -2The required equation is ~
[tex]\qquad \sf \dashrightarrow \:y = a \cos(bx) + k[/tex]
[tex]\qquad \sf \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]
18. Cancellation refers to the procedure for
A. reducing fractions to make multiplying easier.
B. inverting the divisor in a division problem.
C. changing a mixed number to an improper fraction.
D. finding the lowest common denominator for a group of fractions.
Answers
The correct option regarding the operation of cancellation in a fraction is given by:
A. reducing fractions to make multiplying easier.
What is an example of cancellation in a fraction?It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:
[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]
The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.
More can be learned about cancellation in a fraction at https://brainly.com/question/571030
If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set all digits, find the probability that one chosen is not a multiple of 2. [0,1,2,3,4,5,6,7,8]
Answers
The probability of choosing a number that is not a multiple of 2 is P = 0.44
How to find the probability?We need to count the number of options for each digit.
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.The total number of combinations is the product between the numbers of options:
C = 8*9*9 = 648
If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 4 options {1, 3, 5, 7}.C = 8*9*4 = 288
Then the probability of selecting a 3 digit number that is not a multiple of 2 is:
P = 288/648 = 0.44
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
How are the roots of a quadratic equation and the zeroes of a quadratic relation related?
Answers
The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
What do represent the roots of a quadratic equation?Polynomials are algebraic entities that satisfy the following condition:
[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex] (1)
Where:
x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th RootIf we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.
[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex] (2)
Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.
Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436
[tex]\sqrt{50} +\sqrt{18}[/tex]
Answers
Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA =
Answers
Answer:
Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve
In ΔGHI, the measure of ∠I=90°, IH = 11, HG = 61, and GI = 60. What is the value of the sine of ∠G to the nearest hundredth?
Answers
Answer: 0.18
Step-by-step explanation:
Using the sin rule:
11/sin(∠G) = 61/90
sin(∠G) = 11/61
sin(∠G) = 0.18°
Therefore, the value of angle G is 0.18 degrees
Find the solutions to the equation below.
Check all that apply.
x^2 - 25 = 0
A. x = 1
B. x = 5
C. x = -1
D. x = -5
E. x = 3
F. x = -3
Answers
Answer:
B and D
Step-by-step explanation:
x² - 25 = 0
Add 25 to both sides:
⇒ x² -25 + 25 = 0 + 25
⇒ x² = 25
Square root both sides:
⇒ √x² = √25
⇒ x = ±5
Therefore:
x = 5, x = -5
So B and D are the solutions
Find the equation of the line through (-5,9) that is parallel to y=-2x+2
Answers
Answer:
Step-by-step explanation:
y - 9 = -2(x + 5)
y - 9 = -2x - 10
y = -2x - 1
13,14, and 15 please help it’s math!
Answers
Answer:
13) 80 in sq
14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.
15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.
Step-by-step explanation:
Answer:
13) easy but long way, count all the blue squares
harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80
14) basically the harder way but fast way mentioned above
15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34
Step-by-step explanation:
13: remember, these are coordinates and not the actual number.
these are the measurements of the blue box
length, 16-2 = 14
width, 14-4=10
these are the measurements of the white box inside the blue box
length, 14-4 =10
width, 12-6=6
find area of both which comes to 140 and 60. subtract 60 from 140 to get 80
Calculate the perimeter of the figure below 13 cm 18 cm 19 cm 5 5 cm 25 cm [1] 85 cm [2] 80 cm [3] 86 cm [4] 81 cm
Answers
13 + 18 + 19 + 25 + 25 + 85 + 160 + 258 + 324 = 927
perimeter =927cm
You just need to add all the edges together and times by the number of the edge when there is several of the same edge. Hope that makes sense.
surface area.... again
Answers
Answer:
1848 square inches
Step-by-step explanation:
surface area is the combined area of all the outside surfaces.
area of triangle is base x height / 2
There are two, so no need to divide
18 x 12 = 216
Area of rectangle is base x height
15 x 34 + 15 x 34 + 18 x 34 = 1632
Then add
216 + 1632 = 1848
PLEASE AWNSER NEEDED NOW Find the volume of the figure. Round your answers to the nearest hundredth, if necessary
Answers
What are the prime factors of 700?
O A.2 x 2 x 25 x 7
OB. 350 x 2
OC. 2 x 2 x 2 x 5x5x7
OD 2 x 2 x 5x5x7
Answers
Answer:
b. 350x2
Step-by-step explanation:
the answer is 350x2 because if you do 350x2 you will get 700
Sycamore Elementary
School has 998 students.
Sycamore Elementary
School has 562 students less
than Cedar Middle. If C is the
number of students at Cedar
Middle School, which equation
could be used to find how
many students are at Cedar
Middle School?
a. 998-C = 562
b. 562-C = 998
C. 998 +562 = C
d. 562 +C = 998
Answers
please help the assignment is due today
Answers
Answer:
[tex]\tt B)\;93^o[/tex]
Step-by-step explanation:
[tex]\tt 2(19x+1)+(19x+1)+15x=360[/tex]
[tex]\tt 38x+2+19x-2+15x=360[/tex]
[tex]\tt 38x+19x+15x+2-2=360[/tex] (Add similar elements)
[tex]\tt 72x+2-2=360[/tex] (2-2=0)
[tex]\tt 72x=360[/tex]
[tex]\tt \cfrac{72x}{72}=\cfrac{360}{72}[/tex] ( Divide both sides by 72)
[tex]\tt x=5[/tex]
Now,
m∠km:-
[tex]\tt 19x-2[/tex]
[tex]\tt 19(5)-2[/tex] (Multiply 19*5= 95)
[tex]\tt =95-2[/tex] (Subtract)
[tex]\tt = 93[/tex]
Therefore, m∠km=93° is the answer.
_____
11
12
10
7
8
6
5
29 and 22
23 and 22
26 and 23
21 and 27
Submit
Work it out
Answers
Answer: Angle 3 and Angle 2
Step-by-step explanation:
The angles form a linear pair, which means they are supplementary.
what is derivative of f=x^3 + x^2
Answers
Answer:
3x^2-2x
Step-by-step explanation:
sin160°cos110°+sin290°cos340°+tg110°tg160°
Answers
Answer:
-0.0092
Step-by-step explanation:
sin160°cos110° + sin290°cos340° + tan110°tan160°
(0.34)(-0.34) + (-0.94)(0.94) + (-2.75)(-0.36)
- 0.1156 - 0.8836 + 0.99
-0.0092
I hope this helps!
[tex]\sin 160^{\circ} \cos 110^{\circ} + \sin 290^{\circ} \cos 340^{\circ} + \tan 110^{\circ} \tan 160^{\circ}\\\\=\sin\left(2 \times 90^{\circ} - 20^{\circ} \right) \cos \left(90^{\circ} + 20^{\circ} \right) + \sin \left(3 \times 90^{\circ}+20^{\circ}\right) \cos\left(4 \times 90^{\circ}-20^{\circ \right) + 20^{\circ} \right) + \tan \left( 90^{\circ} +20^{\circ}\right) \tan\left( 2 \times 90^{\circ} - 20^{\circ} \right)\\\\[/tex]
[tex]=-\sin 20^{\circ} \sin 20^{\circ} -\cos 20^{\circ} \cos 20^{\circ}+\cot 20^{\circ} \tan 20^{\circ}\\\\=-\left(\sin^2 20^{\circ} + \cos^2 20^{\circ} \right) + \tan 20^{\circ} \cdot \dfrac 1{\tan 20^{\circ}}\\\\=-1 + 1\\\\=0[/tex]
The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function? y = 2 Superscript x y = x squared y = StartAbsoluteValue x EndAbsoluteValue y = StartRoot x EndRoot
Answers
The parent function of the graph is an exponential function
The equation of the parent function could be y = 2^x
How to determine the possible parent function?From the question, we understand that:
y doubles, as x increases by 1
The above means that the parent function is an exponential function that has a rate of 2
So, we have:
y = 2^x
Hence, the equation of the parent function could be y = 2^x
Read more about parent functions at:
https://brainly.com/question/17586310
Answer:
It's not b
Step-by-step explanation:
Picked b like that guy said and got it wrong on edge 2022
Please Help - Find the Volume
I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³.
Answers
Answer:
1982.0 ft³
Step-by-step explanation:
The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.
__
pyramidThe square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.
That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:
h² +(6√2)² = 10²
h² = 100 -72 = 28
h = 2√7 ≈ 5.291503 . . . ft
The volume of the pyramid is ...
V = 1/3Bh = 1/3s²h
V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³
__
cubeThe volume of a cube is given by ...
V = s³
V = (12 ft)³ = 1728 ft³
__
total volumeThe total volume of the figure is the sum of the pyramid volume and the cube volume:
total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³
The volume of the figure is about 1982.0 ft³.
_____
Additional comment
Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...
h² +6² = 8²
h² = 64 -36 = 28 . . . . as above
The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.
A website sells custom messenger bags in 4 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 27 choices of logo color, 11 choices of liner color, and 49 choices of strap pad color. There are 4 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?
Answers
The pendulum of a clock swings through an angle of 2.5 radians as its tip
travels through an arc of 50 centimeters. Find the length of the pendulum, in
centimeters.
Answers
r = 50/2.5 = 20 cm
------------------------
Clock pendulums swing 8 degrees or less, which is an included angle of ~0.28 radians
Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
Answers
Drawing 2 cards that are all 2from a deck of cards
Answers
Answer:
the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah
Find the surface area of the triangular prism.
A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.
The surface area is
square meters.
Answers
kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)
Answers
Answer:
Below
Step-by-step explanation:
281.6x20%= 56.32
281.6+56.31=337.91
337.91x12%=40.55
337.91+40.55=378.46
