PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED IT
Given: ABCD is a trapezoid,
AD=10, BC=8,
CK- altitude of triangle ACD =30
Find: the area of ABCD
Answers
To find the area of the trapezoid we need to find the height of the trapezoid.
TrapezoidA trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
Area of TrapezoidThe area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)
The area of the trapezoid is 54 units².
Given to us :ABCD is a trapezoid
AD=10, BC = 8,
CK is the altitude altitude
Area of ∆ACD = 30
Area of ∆ACD,In ∆ACD,
\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}
Substituting the values,
30 = 1/2 * AD × CK
30 = 1/2 * 10 × CK
(30 * 2)/10 = CK
CK = 6 units
Area of Trapezoid ABCD\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)
Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]
Area ABCD = 54 units²
Hence, the area of the trapezoid is 54 units².
Related Questions
Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?
Answers
Answer:
4x³ + 8x² - 7x + 6
Step-by-step explanation:
remove the brackets by distributing the sign.
4x³ + 5x² + 2 + 3x² - 7x + 4
4x³ + 8x² - 7x + 6
Gather like terms.
If you want to factorise (optional)
4x³ + 8x² - 7x + 6 =
4x²(1 + 2x) - 6x + 3 + 3 - x
4x²(1 + 2x) - 3(1 + 2x) + 9 - x
(4x² - 3) (1 + 2x) + 9 - x
What is the third angle on a triangle with angels of 45 and 45?
Answers
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \huge\mathsf \pink{90°}[/tex]
X + 45° + 45° = 180° X + 90° = 180°X + 90° - 90° = 180° - 90° X = 90°9×100+9×10+0×1+0×1/10+3×1/100+7×1/1000
Answers
Answer: 990.037
Step-by-step explanation:
About 14,200,000 results (0.72 seconds)
990.037 +9×10+0×1+0×1/10+3×1/100+7×1/1000
Can someone help???????????
Answers
Answer:
red ---- 77 degrees
Step-by-step explanation:
Please help I need this! Pls!!
Answers
Answer:
Step-by-step explanation:
To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.
4 kilo bytes = 4* 10³ bytes
8 megabytes = 8 * 10⁶ bytes
[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]
[tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]
Hint:
[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]
i need help with this, graphing
Answers
Answer:
30 baloons per hourStep-by-step explanation:
Use some points on the graph:
(0, 0), (2, 60), (4, 120), (8, 240)The graph is a line passing through the origin, so this is a proportional relationship.
Standard form of such relationship is
y = kx, where k- coefficient of proportionalityUsing one of the coordinate pairs find the value of k
60 = 2kk = 60/2k = 30This is indicating the number of baloons filled per hour is 30.
ABCD ~ EFGH
C
B
G
3
140°
F
4.5
2
y
50°
110°
A
D
E
2.4
H
y =
Answers
[tex]z=110[/tex][tex]A[/tex]
is your final answer. Pls makr me brainiest
The value of y is 3 units.
What are similar figures?This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.
Given quadrilateral's are similar
ABCD ≈ EFGH
for similarity the angles of both figures are equal and ratio of length of their sides are equal,
so AB/EF = BC/FG = CD/GH = DA/HE
we have AB = 3, EF = 2
CD = 4.5 and GH = y
substitute the values
3/2 = 4.5 /y
y = (4.5 x2)/3
y = 3 units.
Hence the measure of y is 3 units.
Learn more about similar figures;
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!!!!!help please!!!!!
Answers
to G H I would be 2x2x3.
13) Which value is equivalent to the expression 7^2 - 3^4
A) -32
B)-19
C) 16
D) 32
Answers
Answer:
-32
Step-by-step explanation:
7^2 = 49
3^4 = 81
49-81=
-32
write an inequality to express the relationship between -2 and -5?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The inequality that express the relationship between -2 and -5 is : " greater than " or " > "
[tex]\qquad \tt \dashrightarrow \: - 2 > - 5[/tex]
The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?
Answers
Answer:
It will experience a low tide because water is drawn away from the area between the high tides.
Explanation:
The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.
which expression is equivalent to 5^4 × (5^-3)^2?
Answers
Answer:
5^-2 or 1/25
Step-by-step explanation:
use index laws.
1. (A^m)^n = a^mn
5^4 x (5^-3)^2=
5^4 x 5^-6
2. A^m x A^n = A^m+n
5^4 x 5^-6
5^-2=
1/5²=
1/25
Answer:
[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]
Step-by-step explanation:
[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]
We can write:
[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]
1. What is the simplified form of the rational expression below?
3.22_10x-8
22-1-12
Answers
[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]
Mike has $21 to spend at the mall.
He spends all of his money on
bracelets for his sisters. Bracelets
cost $3 each. How many bracelets
does he buy?
Answers
Answer:
7 Bracelets
Step-by-step explanation:
Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!
Answer:
7 bracelets
Step-by-step explanation:
21/3 = 7
HELP PLEASE! The perimeter is 22. How much bigger is the longest side than the shortest side?
I asked this question two hours ago, and since then, I haven't recived any help. I don't mean to sound demanding and I understand that there are millions of users here, but it seems it's been a while since someone's answered this, and I can't figure it out.
Answers
Answer:
[tex]\frac{52}{7}[/tex] [tex]units[/tex]
Step-by-step explanation:
Add up all the sides.
(2a - 3) + (3a + 1) + 2a = 7a - 2
Lets set it equal to 22 since it is the perimeter
7a - 2 = 22
add 2 both sides
7a = 24
a = [tex]\frac{24}{7}[/tex]
From the image, you can tell that 2a - 3 is the shortest side and 3a + 1 is the longest side.
(3a + 1) - (2a - 3)
Substitute [tex]\frac{24}{7}[/tex] in for a.
You should be able to get [tex]\frac{52}{7}[/tex] units.
what is the cost of 23.5 gallons of gas
Answers
Answer:
Too much
Step-by-step explanation:
I did the math myself
The circumference of a wheel is 302 centimetres. Determine the diameter of the wheel. Round your answer to the nearest tenth.
Answers
I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.
please help me out with this
Answers
34
Step-by-step explanation:
122
This is a lengthy question ill go through all the formulas
This is a right triangle which means u can use pythagorean theorem to find QP
formula :
[tex]a^{2} +b^{2} =c^{2}[/tex]
Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)
so lets substitute
=> [tex]a^{2} +17^{2} =28^{2}[/tex]
=> [tex]a^{2} +289 =784[/tex]
subtract 289 both sides
[tex]= > a^{2}=495[/tex]
Now square root both
[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]
==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)
But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan
SOHCAHTOA
^
Thats an acronym for the formula
Sin= Opposite/ hyp
Cos= Adjustent/Hyp
Tan= Opposite/Adjustent
how do you get the distance between 2 platforms in a zip line math question
Answers
Answer:
Could I have more info please? It would be great if there was a graph or some extra description of the problem. I can then write the answer and explanation in the comments. Thanks!
PLEASE ANSWER ASAP
The table represents the distance and height for softball travels after being hit by the batter.
use a quadratic regression model to find the height of the softball when it travels 12 feet. round to the nearest foot.
Answers
The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
What is the correlation coefficient?Correlation coefficient is used to calculate how strong the relationship is between the two variables.
When there is a statistical relationship between two or more variables, then they are said to be in correlation.
The table represents the distance and height for softball travels after being hit by the batter.
Distance x (ft) Height y (ft) 0 5 2 25 4 37 6 42 8 34 10 26Mean 5 28.167The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.
The quadratic regression model for this model is given as,
[tex]y=5.29+11.78x-0.98x^2[/tex]
At the 12 feet, the value of height y is,
[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]
Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
Learn more about the correlation coefficient here;
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jamie read an 80 page book in 2 hrs. how long would it take him to read a 100 page book?
Answers
Answer:
1.5 hours
Step-by-step explanation:
80 /120= 100/x
80x=12000
12000/80=150
150 minutes- 1.5 hours
Answer:
Around 2 hours and 50 minutes.
Solve
If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.
[tex]100 / 2 = 50[/tex]
Add that to the time, 2 hours.
[tex]= 2~hrs.~50~mins.[/tex]
Suppose that 5 green balls and 10 purple balls are placed in an urn. Two balls are then drawn in succession. What is the probability that both balls drawn have the same color if the first ball is replaced before the second is drawn
Answers
Answer:
redonculus preshambles.
Step-by-step explanation:
It takes Don 55 minutes to finish his
math homework and 25 minutes to
finish his reading homework. How
many more minutes did Don spend
on his math homework than on his
reading homework?
Answers
Answer:
Don spent 30 more minutes on his math homework than reading homework.
Step-by-step explanation:
55 - 25 = 30
Jerry is mowing his lawn.It takes him 1/6 of an hour to mow 3/20 of his yard. What proportion of the yard does jerry mow per hour
Answers
Answer:
If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour
which means the ratios are equal
1/6:3/20 = 1:18/20 = 1:9/10
Therefore, Jerry will mow 90% of the lawn in one hour
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may GOd bless you
Which expression is equivalent to m^2 - m - 12 ?
a) (m + 2)(m - 6)
b) (m - 3)(m + 4)
c) (m - 2)(m + 6)
d) (m + 3)(m - 4)
Answers
Explanation: m^2 is basically 1 and -m is -1 while the -12 stays the same. Honestly don’t know how to explain it.
At Freddy’s fro yo shop 25 percent of the 44 frozen yogurt flavors are sugar free how many frozen yogurt flavors are sugar free
Answers
can someone help? Please :(
Answers
How many ways can you select a
volleyball team (6 players) from a group of 8 people?
Answers
Answer:
only once
Step-by-step explanation:
Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people
1. The circle x² + y² = 45 is shown graphed along with the point (6, 3).
(a) Determine graphically the slope of the line segment connecting the origin to the point (6,3).
(b) Carefully draw in the tangent line to the circle at (6,3) using the negative reciprocal slope of the one you found in (a).
(c) What is the y-intercept of the tangent line?
Answers
Answer: Please see the analysis in the picture
Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of daffodils per flower Unfortunately, Simon forgot to get a receipt, however, he can remember that daisies costs 61p per flower. He can also remember that he spent £8.49 What is the cost of daffodils per flower?
Answers
Answer:
69p each
Step-by-step explanation:
well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(