Answers
The area of a trapezoid is given by the formula
Area=h*(b1+b2)/2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Remember that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases
therefore
[area of trapezoid]=(11+5)*4/2--------> 64/2------> 32 cm²
the answer is 32 cm²
Related Questions
PLEASE HELP ME QUICKLY!!
Answers
Keep in mind unfortunately I am not 100% sure, but this is what I think. Hope this helps a little!
The center of a circle is at (−2, −7) and its radius is 6.
What is the equation of the circle?
(x−2)2+(y−7)2=36
(x−2)2+(y−7)2=3
(x+2)2+(y+7)2=3
(x+2)2+(y+7)2=36
The equation of a circle is (x+4)2+(y−5)2=121.
What is the center and radius of the circle?
center: (4, −5); radius: 11
center: (−4, 5); radius: 121
center: (−4, 5); radius: 11
center: (−4, −5); radius: 121
Answers
2.) center: (-4, 5) radius 11
Answer:
1. option D is correct; [tex](x+2)^2+(y+7)^2=36[/tex]
2. option C is correct; center: (-4, 5) and radius = 11 unit
Step-by-step explanation:
The general equation of the circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] .....[1]
where,
(h, k) is the center of the circle and r is the radius of the circle.
1.
As per the statement:
The center of a circle is at (−2, −7) and its radius is 6.
⇒(h, k) = (-2, -7) and r = 6 units
Substitute these in [1] we have;
[tex](x-(-2))^2+(y-(-7))^2=6^2[/tex]
⇒[tex](x+2)^2+(y+7)^2=36[/tex]
Therefore, the equation of circle is, [tex](x+2)^2+(y+7)^2=36[/tex]
2.
As per the statement:
The equation of a circle is:
[tex](x+4)^2+(y-5)^2 = 121[/tex]
We can write this as:
[tex](x-(-4))^2+(y-5)^2 = 11^2[/tex]
On comparing with equation [1] we have;
(h, k) = (-4, 5) and r = 11 units
Therefore, the center and radius of the circle is,
center: (-4, 5) and radius = 11 unit
TIME SENSITIVE
The range of [tex]y= \frac{4}{5} sinx[/tex] for [tex] \pi \leq x \leq \frac{3 \pi }{2} [/tex] is _____.
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-4/5 <= (4/5)sinx <= 0
1 question pleasee i need this asap!! thank you :D
Answers
________________________________________________________
Explanation:
________________________________________________________
Given the following equation:
________________________________________________________
" x² + 3x – 54 = 0 " ; Solve for "x" ;
_____________________________________________________
Check if the part of the equation on the "left-hand side" can be "factored":
" x² + 3x – 54 " ;
→ We see the " + 3x " and the " – 54 "
Factors of " -54 " that add up to " +3" ;
Let us try: " -9, 6" ; → " -9 + 6 = -3 " ; → " -3 ≠ +3 ;
Let us try: " 9, -6" ; → " 9 + (-6) = 9 – 6 = 3 " ; YES!
→ {that is: " +9 , -6 "} ;
So, we can rewrite the entire equation:
→ " (x + 9)(x – 6) = 0 " ;
→ " x = -9 " ; or, " x = 6 " ; which is:
→ Answer choice: [A]: " x = 6 " or " x = - 9 " .
______________________________________________________
A rocket is launched from atop a 55-foot cliff with an initial velocity of 138 ft/s. a. Substitute the values into the vertical motion formula h = −16t2 + vt + c. Let h = 0. b. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Answers
Substituting the values into the equation, we have:
0 = -16t² + 138t + 55
The quadratic formula is:
[tex]t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Inserting our information we have:
[tex]t=\frac{-138\pm \sqrt{138^2-4(-16)(55)}}{2(-16)} \\ \\=\frac{-138\pm \sqrt{19044--3520}}{-32} \\ \\=\frac{-138\pm \sqrt{19044+3520}}{-32} \\ \\=\frac{-138\pm \sqrt{22564}}{-32} \\ \\=\frac{-138\pm 150}{-32}=\frac{-138+150}{-32}\text{ or } \frac{-138-150}{-32} \\ \\=\frac{12}{-32}\text { or } \frac{288}{32}=-0.375 \text{ or } 9[/tex]
Multiply. −5m(−2m6+4m4+m−9) Express the answer in standard form. Enter your answer in the box.
Answers
10m^6-20m^4-5m^-9
im sorry if its not right, just know if its wrong i sacrificed 3 points off my unit test. lol
32 deanna bought a shirt that was on sale for 40% off the original price. she also used a coupon that gave her an additional 20% off the sale price of the shirt. the original price of the shirt was $54. what is the new price of the shirt before tax?
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60% = 0.60
54 x 0.60 = 32.40
54 - 32.40 = 21.60
the price was $21.60
PLEASE HELP ASAP!!!1
Answers
Each CD costs $11. Therefore the total cost of the CDs is 11 × the amount of CDs, which is represented by y. Hence, the total cost if the cassettes is 11y.
You can at maximum spend $ 39 .
So the cost will always be smaller than or equal to $39. Hence, the inequality will be:
[tex]5x + 11y \leqslant 39[/tex]
Plot the data for the functions f(x) and g(x) on a grid
Answers
The first thing you have to do is study the graph. The two functions are
f(x) = 4^x That's the curved graph. (in red)
g(x) = x + 4. That's the straight line. (in blue)
You know that the first one is not a linear relationship because the x values go from integer values -2 to 2 (including 0). The y values are a bit different. They go from 1/16 to 16 with those integer values. So you could try y = 4^(-x). It doesn't work, but you could try it. It gives the table numbers for y in the reverse order that the table you are given goes. For x you get -2 -1 0 1 2 and for y you would get 16 4 1 1/4 1/16.
You could try y = (1/4)^x
For this try, you would get x = -2 -1 0 1 2 and for y = 16 4 0 1/4 and 1/16
but that doesn't work either.
You could try until you get y = 4^x which does work.
g(x) is a lot easier to deal with. It looks better behaved. as x goes up, so does y. You will find that the y values obey y = x + 4. You could try other lines, but that one works. Many times it's just a guess
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?
A.1/6
B.1/13
C.1/18
D.1/162
Answers
[tex] |\Omega|=6^2=36\\
|A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\
P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\% [/tex]
Use the Venn diagram to calculate probabilities.
Which probability is correct?
P(A|B)=1/2
P(B|A)=7/20
P(A|C)=6/23
P(C|A)=13/17
Answers
Answer: The correct probability is (D) [tex]P(C/A)=\dfrac{13}{17}.[/tex]
Step-by-step explanation: We are given to select the option that gives the correct probability statements using the Venn-diagram in the figure.
From the figure, we can see that there are three events, A, B and C.
And,
[tex]n(A)=1+6+7+3=17,\\\\n(B)=1+6+4+9=20,\\\\n(C)=6+4+6+7=23,\\\\n(A\cap B)=1+6=7,\\\\n(A\cap C)=6+7=13,\\\\n(B\cap C)=6+4=10,\\\\n(A\cap B\cap C)=6.[/tex]
By the law of SET THEORY, we have
[tex]n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cup B\cup C)=17+20+23-7-13-10+6\\\\\Rightarrow n(A\cup B\cup C)=36.[/tex]
So, the total number of elements in the sample space 'S' will be
n(S) = 36 + 8 = 44.
Therefore,
[tex]P(A/B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\dfrac{n(A\cap B)}{n(S)}}{\dfrac{n(B)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{20}=\dfrac{7}{20},\\\\\\\\P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\dfrac{n(B\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{7}{44}\times \dfrac{44}{17}=\dfrac{7}{17},\\\\\\\\P(A/C)=\dfrac{P(A\cap C)}{P(C)}=\dfrac{\dfrac{n(A\cap C)}{n(S)}}{\dfrac{n(C)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{23}=\dfrac{13}{23},\\\\\\\\P(C/A)=\dfrac{P(C\cap A)}{P(A)}=\dfrac{\dfrac{n(C\cap A)}{n(S)}}{\dfrac{n(A)}{n(S)}}=\dfrac{13}{44}\times \dfrac{44}{17}=\dfrac{13}{17}.[/tex]
Thus, the correct probability is [tex]P(C/A)=\dfrac{13}{17}.[/tex]
Option (D) is correct.
The probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
For the value of probability P(A|B):
We know that:
[tex]\rm P(A/B)=\frac{P(A\cap B)}{P(B)} \Rightarrow \frac{\frac{n(A\cap B)}{n(T)} }{\frac{n(B)}{n(T)} }[/tex]
From the Venn diagram:
n(A∩B) = 7, n(B) = 20, n(T) = 44
P(A/B) = (7/44)×44/20)
P(A/B) = 7/20
For P(B|A):
[tex]\rm P(B/A)=\frac{P(B\cap A)}{P(A)} \Rightarrow \frac{\frac{n(B\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]
The values of n(B∩A) = 7, n(A) =17
P(B/A) = (7/44)×(44/17)
P(B/A) = 7/17
For P(A|C):
[tex]\rm P(A/C)=\frac{P(A\cap C)}{P(C)} \Rightarrow \frac{\frac{n(A\cap C)}{n(T)} }{\frac{n(C)}{n(T)} }[/tex]
The value of n(A∩C) = 13, n(C) = 23
P(A/C) = (13/44)×(44/23)
P(A/C) = 13/23
For P(C|A):
[tex]\rm P(C/A)=\frac{P(C\cap A)}{P(A)} \Rightarrow \frac{\frac{n(C\cap A)}{n(T)} }{\frac{n(A)}{n(T)} }[/tex]
The values of n(C∩A) = 13, n(A) = 17
P(C|A) = (13/44)×(44/17)
P(C|A) =13/17
Thus, the probability P(A/B) is 7/20, the probability P(B/A) is 7/17, the probability P(A/C) is 13/23, and the probability is P(C|A) is 13/17 option fourth is correct.
Learn more about the Venn diagram here:
brainly.com/question/1024798
#SPJ3
show or describe two different ways to complete the comparison using < , > ,or =: 0.26 () 0.4
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Reason: 0.26 is less than 0.4 which also can be written as 0.40.
The "mouth" points to the bigger number.
How would the expression x^2-4 be rewritten using Difference of Squares?
A) (x+2)^2
B) (x-4)^2
C) (x+4)(x-4)
D) (x+2)(x-2)
Answers
The answer is D) (x+2)(x-2)
To remember how to factor a difference of perfect squares, the terms, for lack of better words, are divided in half.
Example:
x²: (x+ )(x- )
4: ( +2)( -2)
Do you see what each term "does" to the answer?
(x+2)(x-2)
I really hope this helps!
Best wishes :)
d.........................
Marie decides to work all summer rather than going on vacation. She will be able to earn money and learn new skills but will not be able to spend much time with her friends. What is the opportunity cost in this scenario?
Answers
The opportunity cost in this scenario is the value of the best alternative that Marie gives up by choosing to work all summer rather than going on vacation.
Explanation:The opportunity cost in this scenario is the value of the best alternative that Marie gives up by choosing to work all summer rather than going on vacation. In this case, the opportunity cost could be the time she could have spent with her friends. By deciding to work, Marie forgoes the opportunity to socialize and spend quality time with her friends.
Opportunity cost is an important concept in economics that highlights the trade-offs we face when making choices. It helps us understand the value of the options we give up when we choose one alternative over another. In Marie's case, the opportunity cost of earning money and learning new skills is the limited time she can spend with her friends.
If a fair coin is tossed 5 times what is the probability of getting 3 heads in a row
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Just a short answer please help :( the top
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26/100 = x/82
How are experimental and theoretical probability alike?
Answers
A quadrilateral has angle measures of 52°, 94°, and 97°.
What is the measure of the fourth angle?
Enter your answer in the box.
Answers
A quadrilateral has angle measures of 52°, 94°, and 97°.
What is the measure of the fourth angle?
Enter your answer in the box.
Answer: 117
Step-by-step explanation:
Water flowing at the rate of 15km/hr through a pipe of diameter 14cm into a cuboidal pond which is 50m long and 44m wide. In which time will the level of water in the pond rise 21cm?
Answers
We must calculate the volume of water in one hour.
V=15000*PI*0.07²=230,9070600... m^3/h.
Volume of the pond=50*44*.21=462 m^3
Time=462 m^3/ 230.907... m^3/h=2,0008... h≈2 h
Which of the following best describes the solutions to the inequality shown below?
4c + 5 < 4c + 3
A. All real numbers
B. c < 1/2
C. c > 1/4
D. No solution
Answers
f √6 is the geometric mean between 6 and another number, then the number is
Answers
What you have here is a geometric series beginning with x ⇒ √6 ⇒ 6
x = √6 / 6 It is the smallest number in the series.
Each number is multiplied by √6 to get to the next number in the series.
√6/6 <<<< answer
HELLO!!! ^-^
The answer is 1.
If √6 is the geometric mean between 6 and another number, then the number is 1.
(I had the same question and got it right using this answer so yeah) ^-^
Have an amazing day!!! ^-^
Historical Fact:
Back in the older days, the word awful was a word used to praise someone! That is because aw in awful comes from the origin awe which is used when someone is in awe of you!!! For example: You are AWESOME!!!
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
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[tex]\sqrt{a}=b\iff b^2=a\\\\a\geq0\ \wedge\ b\geq0\\\\\text{therefore your answer is}\\\\\text{(A) The equation has no solutions.}[/tex]
What perfect squares divide into 337? I only need two!
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[tex]337 \cdot 337 = 113569[/tex]
A second perfect square that divides into 337 is
[tex]337 \cdot 337 \cdot 2 \cdot 2 = 674\cdot 674 = 454276
[/tex]
Find the slope intercept form for the equation of the line which passes through the point ( -2,15 )and has a slope of -1
Answers
The answer is:
y = -x + 13
Work/explanation:
First, we will write the equation in the form of [tex]\sf{y-y_1=m(x-x_1)}[/tex], which is point slope.
Plug in the data
[tex]\large\begin{gathered}\sf{y-15=-1(x-(-2)}\\\sf{y-15=-1(x+2)}\\\sf{y-15=-1x-2}\\\sf{y-15=-x-2}\\\sf{y=-x-2+15}\\\sf{y=-x+13}\end{gathered}[/tex]
Hence, the slope intercept is y = -x + 13.
a doctor is using a treadmill to assess the strength of a patients heart. he sets the 48 inch long treadmill at an incline of 10 degrees. how high is the treadmill raised
Answers
x = 48* .1736
x = 8.3335
rounds to 8.3"
sin 1o^0 = h/48
h = 48 sin 10^0
so; h = 8.3 inches; or
8.3 in.
say you have a triangle:
outside = 48
outside = h
inside = 10^0
In this exercise we have to use the knowledge of sine to be able to calculate the triangle values, in this way we can say that:
[tex]h= 8.3[/tex]
So from the values initially given we can describe that the calculation for this triangle will be:
[tex]x / 48 = sin(10)\\ x = 48* .1736\\ x = 8.3335\\ sin 10^0 = h/48\\ h = 48 sin 10^0\\ h = 8.3 inches[/tex]
See more about triangles at brainly.com/question/25813512
In the graph below, find the coordinate of the image point, P(3, 0). O is the origin and O,90 is a rotation of 90 degrees about the origin. Rx and Ry are reflections around the x- and y-axes.
Rx O,90: (3,0)
(0, 3)
(-3, 0)
(0, -3)
Answers
Answer:
Thus, (3,0) Rx O,90° changes to (0,-3)
Step-by-step explanation:
O is the origin and O,90 is a rotation of 90 degrees about the origin. Rx and Ry are reflections around the x- and y-axes.Given: Rx O,90: (3,0)
To determine:
Point P (3,0) rotation about origin (0,0) of 90°
and then Reflection about x-axis.
Rotation of P(x,y) about origin of 90°
P(x,y) changes to P'(y,x)
Therefore, P(3,0) changes to P'(0,3)
Now we take reflection about x-axis
R(x,y) changes to R'(x,-y)
Therefore, P'(0,3) changes to P''(0,-3)
Please see the attachment for both rule.
Thus, (3,0) Rx O,90° changes to (0,-3)
A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one square mile. The hiker was last seen at (4, -9) and could have walked 10 miles in any direction since then. Which equation represents the area the hiker could be in?
A) (x - 4)2 + (y + 9)2 = 102
B) (x + 4)2 + (y - 9)2 = 102
C) (x + 4)2 + (y + 9)2 = 1002
D) (x - 4)2 + (y - 9)2 = 1002
Answers
.. (x -h)^2 +(y -k)^2 = r^2
Selection A is appropriate.
_____
It would be helpful if you would use appropriate math symbols. 102 is very different from 10^2. (Copying and pasting does not work--editing is needed.)
Jessica is designing a large, circular garden for a neighborhood park. A part of the garden will be occupied by a fountain. If the diameter of the garden is 82 meters and the measure of the angle formed by the fountain is 126°, what will be the approximate length of the garden cover by the fountain?
Answers
S = R * theta
Where
S: length of the garden covered by the fountain.
R: Garden radio
theta: angle formed by the source.
Substituting values we have:
S = (82/2) * ((126) * (pi / 180))
S = 90.16 m
Answer:
The approximate length of the garden cover by the fountain will be:
S = 90.16 m
The new number, 550, is 200 more than the original number. What is the approximate percent change?a The percent change is 33%. b The percent change is 55%. c The percent change is 150%. d The percent change is 175%
Answers
The approximate percent change is:
55%
Step-by-step explanation:It is given that:
The new number, 550, is 200 more than the original number.
Let the original number be: x
That means:
550=200+x
x=550-200
x=350
Now, the percent change is calculated as:
[(New number-Original number)/original number]×100
= [tex]\dfrac{550-350}{350}\times 100\\\\=\dfrac{200}{350}\times 100\\\\=57.14\%[/tex]
which is approximately equal to :
55%
The birdwatching club has 27 members, 18 girls and 9 boys. What is the ratio of the girls to boys in the birdwatching club?
Answers
answer
2/1