Answers
=============================================================
Explanation:
Refer to the diagram below.
Draw a line through point D such that it is perpendicular to side BC. This new line intersects BC at point E.
In other words, E is on BC such that segments DE and BC are perpendicular.
Notice how triangle CED is a right triangle with legs DE and EC. The hypotenuse is DC = 16.
Let h be the height of the trapezoid. It's also the height of triangle CED where EC is the base. In other words, h = length of DE.
--------------------------------------
Focus on triangle CED. We'll use the sine ratio to find h
sin(angle) = opposite/hypotenuse
sin(C) = DE/DC
sin(30) = h/16
0.5 = h/16
0.5*16 = h
8 = h
h = 8
The height of triangle CED is 8, so the height of the trapezoid is also 8.
--------------------------------------
Apply the area of a trapezoid formula
Area = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 8*(27+21)/2
A = 8(48)/2
A = 8*24
A = 192
The trapezoid's area is 192 square units
Related Questions
help me plz
does anyone know this
Answers
Answer:
I believe the x value is 5
Step-by-step explanation:
point A is plotted on point (5,3)
5 is x and y is 3, hope it helps
Solve for b:
2b = 36
Answers
Answer:
b = 18
Step-by-step explanation:
1st step is isolating b by moving 2 to the other side. When you move a number the the other side it flips (from + to - or × to ÷). The 2 in this question is being multiplied my b (no sign means multiply) so when you move it to the other side it becomes 36/2 or 18
Steps:
2b=36
b=36/2
b=18
Answer:
b=18
Step-by-step explanation:
2b=36
Divide both sides by 2
b=36/2
then divide 36 by 2 to get 18
have a great day ^_^
Can someone please give me the answer I will mark u brilliant as soon as it pops up.
Answers
Answer:
340 ft
Step-by-step explanation:
I think the answer you are looking for is 340 ft²!
Work shown in photo!
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Answers
Answer:
lol?????????????????"!?!?!?!?!?!?
Step-by-step explanation:
Answer:
SKSKSKSKSKSKSKSKSKSKSKSKSKS
what's 2+2
spent 1 hr 9 mins on this question so far, literally shaking and crying rn, will give first answer brainliest, no need for explanation as that would take too long
Answers
pls ik this is a joke but i swear
Pls help!!
Which year had the highest month of car sales?
A. 2004
B. 2005
C. neither
Answers
Answer:
Number A
Step-by-step explanation:
Hope this helps.
In the year 2004, the highest month of car sales happened.
The correct option is A.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
Given:
There is a graph that represents the number of car sales in a month for two different years.
By comparing, the both function graphs,
we get,
In 2004, car sales are higher in 7-5 = 2 months more than in year of 2005.
That means,
In 2004, the highest month of car sales happened.
Therefore, the required year is 2004.
To learn more about the graph;
https://brainly.com/question/23680294
#SPJ2
A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?
Answers
Answer:
The monthly service charge
Step-by-step explanation:.
this robin eats 5 worms every two day how many worms will she eat in 2 week?
Answers
Answer:
the answer is 10
Step-by-step explanation:
5 x 2 = 10
boppoom
4.) Dried apricots worth $3.25 a pound were mixed with dried prunes worth $4.79 a pound to produce
a mixture of dried fruit worth $3.79 a pound. How much of each kind of fruit was used to produce
25 pounds of mixture?
Answers
Answer:
hi
Step-by-step explanation:
what 5+5 = XD is it 25
Answers
Answer:
10
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
Which of the following options have the same value as 40% of 84?
Answers
Answer:
33.6
Step-by-step explanation:
84(0.4) = 33.6
.....
Answer:
40% of 84 is 33.6
Step-by-step explanation:
No following options are listed, but I will solve for 40% of 84
First set these up into an equation
40/100 = x/84
Cross multiply
40 × 84 = 100 × x
3360 = 100x
Divide both sides by 100 to isolate the variable
33.6 = x
a line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?
Answers
Answer:
Step-by-step explanation:
Equation for line of slope -6 that passes through (0,-2):
y+2 = -6(x-0)
y = -6x - 2
Plug in (g,-8) and solve for g:
-8 = -6g - 2
g = 1
los conjuntos numericos se relacionan entre si, los irracionales son caso aparte de los conjuntos numericos, cual sera la razon por lo que esto sucede?
Answers
Answer:
Los conjuntos numéricos que se relacionan entre sí son:
Naturales, enteros y racionales.
Los números naturales son aquellos números que se pueden escribir como sumas de 1.
Los números enteros son todos los números naturales, y agregamos el número cero y los números negativos.
Los números racionales son aquellos números que se escriben como cociente de dos números enteros. Acá también podés notar que:
7 = 7/1
entonces todo número entero se puede escribir como el cociente de dos enteros, lo que implica que el conjunto de los números racionales también engloba al conjunto de los enteros.
Entonces si N es el conjunto de los números naturales, Z es el conjunto de los números enteros, y Q es el conjunto de los números racionales, tenemos que:
N ⊂ Z ⊂ Q.
Ahora por otro lado, el conjunto de los números irracionales es aquel que no se puede escribir como cociente de dos números enteros. Con esto ya podemos concluir que no existe ningún elemento compartido entre ninguno de los conjuntos anteriores y este conjunto, y esto se debe a la definición de número irracional, como no se puede construir como el cociente de números enteros, entonces no hay forma de relacionarlo con ninguno de los otros conjuntos.
Solve equation: 5(10^x+2)=60
Answers
Answer:
x = 1
Step-by-step explanation:
[tex]5(10^x+2)=60 \\ \\ 10^x+2= \frac{60}{5} \\ \\ 10^x+2= 12 \\ \\ {10}^{x} = 12 - 2\\ \\ {10}^{x} = {10} \\ \\ {10}^{x} = {10}^{1} \\ \\ x = 1[/tex]
Help ..
Find the volume of the composite figure shown.
Please only answer if u know
Answers
Answer:
64
Step-by-step explanation:
split it in half den it is two rectangles and they are both 32 so 32 * 2 is 64
hi piiihvvyjcycycfvyfchchv cgcydyfcyv fyiyifycgxt4w67 ftuddtyxd
Answers
How are you?
what is the area of this shape?(look at picture)
Answers
which of the following points are solutions to the equation 3x-4x-8=12
Answers
Answer:
below
Step-by-step explanation:
x=-20
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answers
Answer:
really!!?? thank you!!! need one! ;w;
Step-by-step explanation:
Answer:
put it at 4.5
Step-by-step explanation:
put it at 4.5 because 20's square root is 4.472 but it says approximately so you need to round 4.472 to 4.5
Please help confused
Answers
Answer:
14
Step-by-step explanation:
please mark me as brainlist
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answers
Answer:
4/25 and >
Step-by-step explanation:
what is the correct answer to this question *NEED HELP QUICKLY*
my grandson is currently stuck on a couple of math problems and he needs to submit this within the hour.
Answers
First person to answer this gets brainliest
984 + x = 1870
Answers
Answer:
answered
Step-by-step explanation:
Answer:
im late.. but chile anywayz soo
886 btw
plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks if ur answer will be correct
Answers
Answer:
I. p = 7
II. 17 litres
Step-by-step explanation:
I. Determination of the value of p
Mean = 17.7
p =.?
Let the number of litre be L
Let the number of motorist be M
Mean = summation LM / summation M
Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)
= 176 + 170 + 18p + 76 + 160
= 582 + 18p
summation M = 11 + 10 + P + 4 + 8
= 33 + p
Mean = summation LM / summation M
17.7 = 582 + 18p / 33 + p
Cross multiply
17.7(33 + p) = 582 + 18p
584.1 + 17.7p = 582 + 18p
Collect like terms
584.1 – 582 = 18p – 17.7p
2.1 = 0.3p
Divide both side by 0.3
p = 2.1 / 0.3
p = 7
II. Determination of the median number of litre.
Let the number of motorist be M (i.e the frequency)
summation M = 11 + 10 + P + 4 + 8
p = 7
summation M = 11 + 10 + 7 + 4 + 8
summation M = 40
The median is the middle term i.e
Median = (summation M / 2)ᵀʰ motorist
Median = (40 / 2)ᵀʰ motorist
Median = 20ᵀʰ motorist
Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.
Therefore, the median number of litres is 17 litres.
Plzzz help. Giving everything.
Answers
Answer:
d. 260. is the answer.
Ian Duncan drove from Kajiado to Nairobi at a distance of 180km in one hour. What was the speed in m/s?
Answers
9514 1404 393
Answer:
50 m/s
Step-by-step explanation:
Ian's rate was ...
(180,000 m)/(3600 s) = 50 m/s
__
There are 1000 meters in a kilometer, and there are 3600 seconds in 1 hour. To find meters per second, divide meters by seconds.
Dylan's linear model uses the equation y=3.0x+1.1 to represent the data shown. Which is the residual of the data value at (6, 18)?
A. -0.55
B. -1.1
C. 1.1
D. 2.2
Answers
Answer:
I think it is d but you didn't gimme a picture
Is there anyone that can help me with this problem?
Answers
Answer:
A
Step-by-step explanation:
mnp=wxy
Answer:
1. MNP-WXY
Step-by-step explanation:
Line up each angle with the one that corresponds with it on the other triangle. (so M=W, N=X, P=Y)
Then, look at each equation and see it each one is in the right spot on each side. (So M and W should be in the same spot, N and X should be in the same spot, and P and Y should be in the same spot)
So the possible statements could be: MNP-WXY, NPM-XYW, PMN-YWX, PNM-YXW, MPN-WYX, and etc.
Sometimes, the triangles aren't lined up with each correct angle in the corresponding spot and to fix that, just flip the triangle.
(hope this helps...and makes sense :P)
18/20 as a percentage
Answers
Answer:
90%
Step-by-step explanation:
please give me bfrainleist
Answer:
90%
Step-by-step explanation: can you help me.?
Find x.
So .... how do u do this
Answers
Answer:
Did they give you the whole?