ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth
Answers
The image to the question is attached below.
Answer: The value of EN is 11.2 cm
Step-by-step explanation:
We are given:
The parallelograms ABCD and EFGH are congruent, which simply means
AB = EF
BC = FG
CD = GH and
AD = EH
Area of ABCD = area of EFGH
Also, opposite sides of a parallelogram are equal. Thus,
AB = EF = CD = GH
BC = FG = AD = EH
It is given:
[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]
To calculate the area of a parallelogram, we use the equation:
[tex]Area=b\times h[/tex]
where, for parallelogram EFGH
b = base = FG = 10 cm
h = height = EN = ?
Area = [tex]112cm^2[/tex]
Plugging values in above equation, we get:
[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]
Hence, the value of EN is 11.2 cm
Related Questions
given that x^2+y^2=9 and xy=5, find the value of (x - y)^2.
Answers
Answer:
[tex](x -y)^2 = -1[/tex]
Step-by-step explanation:
[tex](x - y)^2 = x^2 + y^2 - 2xy[/tex]
[tex]= (x^2 + y^2 ) - 2(xy)\\\\=(9) - 2( 5)\\\\= 9 - 10 \\\\ = -1[/tex]
The binomial expansion of (x - y)² is
(x - y)² = x² - 2xy + y²
Substitute the given values to the equation
(x - y)² = x² - 2xy + y²
(x - y)² = x² + y² - 2xy
(x - y)² = 9 - 2(5)
(x - y)² = 9 - 10
(x - y)² = -1
Therefore the value of (x - y)² is -1.
#ILoveMath
#ILoveYouShaina
please help!!!! been stuck on this for awhile now i’m so confused
Answers
Answer:
5π/6 to the right
π/6 to the right
please help! i think the answer is 12 but any verification would be greatly appreciated!
Answers
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
please can someone help me with this
Answers
Answer:
brainllest if right
90
Step-by-step explanation:
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answers
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
Need the answer please help ?
Answers
The product of b and 5 is greater than or equal to −23.
Answers
Answer:
Step-by-step explanation:
Product of b and 5 = b*5 = 5b
Inequality:
5b ≥ - 23
Solution:
Divide both sides by 5
b ≥ -23/5
b ≥ -4.6
Answer:
5b≥ -23
Step-by-step explanation:
product of b and 5 - this means multiply
5b
is greater than or equal - ≥
5b≥ -23
Solving
Divide by 5
5b/5≥ -23/5
b≥ -23/5
3. Which of the following equations has a center of (-4,7) and a diameter of 18?
(1) (x+4)*+(y – 7)' =3
(2) (x+4)* +(y-7)= 324
(3) (x+4)*+(y-7)=9
(4) (x+4)*+(y-7)* = 81
Answers
Answer:
option 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then
(x - (- 4) )² + (y - 7)² = 9² , that is
(x + 4)² + (y - 7)² = 81
Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?
Answers
Answer:
2270 grams
Step-by-step explanation:
If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270
On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth
Answers
Answer:
The lengths of the sides are 6, 8 and 10.
Step-by-step explanation:
The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)
The distance between the two points is
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
So, the lengths of the sides are
[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]
Give reasons.
a.
Mass is a physical quantity.
Answers
solve algebraically for z : 360000 + 102 = 200000 + 104z NEED ANSWER ASAP PLEASE HELP
Answers
Answer:
z = 1539.44230769
Step-by-step explanation:
360000 + 102 = 360102
360102 - 200000 = 160102
160102/104z = 1539.44230769
z = 1539.44230769
What is Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?
6 a minus 2 b + 11
6 a minus 4 b + 3
6 a minus 2 b + 3
6 a minus 4 b + 11
PLZ PLZ PLZ HELP
Answers
Answer:
6 a minus 4 b + 11
Step-by-step explanation:
(8a -3b +7) - (2a + b -4)
= 8a -3b +7 -2a-b +4
= 6a -4b + 11
Please help will give brainiest. Find the length x of the shelf
Answers
Answer:
11
Step-by-step explanation:
15-12=3
so
x-8=3
x=11
Answer:
22.5 in.
Step-by-step explanation:
Both triangles have 110º so that means they are equal.
12x15=180 inches
180 ÷ 8 = 22.5So, X=22.5 inches
find AD and AB
hhjhh
Answers
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
Plz solve this question correctly.
Show the steps needed to solve it.
Answers
Answer: 378y^3
Step-by-step explanation:
the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height
if we plug the numbers from the picture in, the formula would look like this:
V = 9y * 7y * 6y
to solve you just multiply them together
V = 378 y^3
Solve for x. Round to the nearest tenth, if necessary.
K
L
99
х
15°
M
Answers
Answer:
x≈95,6
Step-by-step explanation:
x= cos 15⁰ x 99 ≈95,6
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answers
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
The product of (3+2i) and a complex number is (17+7i)
The complex number is______
Answers
Answer:
The complex number is;
37 + 55i
Step-by-step explanation:
Here, we want to find the product of the two
We proceed as follows;
(3 + 2i)(17+ 7i)
= 3(17 + 7i) + 2i(17 + 7i)
= 51 + 21i + 34i + 14(i)^2
Recall; i = √(-1)
Thus, we have it that;
51 + 55i -14
= 51-14 + 55i
= 37 + 55i
Find the point that partitions a segment AB where A (-2, -6) and B (6, 12) into two equal parts.
Answers
The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is
( ((x1 + x2) /2), ((y1 + y2)/2) )
So here the point is
( (-2+6)/2), (-6+12)/2) )
= (2, 3)
So it's the second option
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answers
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answers
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
Find the mode from the dot plot. Quick pls
Answers
Hey there!
“What is the mode?”
The mode in mathematical terms means “the REPEATED NUMBER in the data”
Going through all of the terms in the given data none of them seems to be repeated
Option A-C aren't the answers because NONE of those numbers repeated in the data plot
Option D. is the answer because there are no given data in the plot
Answer: Option D. “There is no mode”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
You use the Internet to purchase 9 tickets for a concert The tickets are $22 each you have to play a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. Use a problem solving plan to find your total cost.
Answers
Answer: $206
Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.
What is the multiplicative rate of change of the
function?
Answers
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5
(10 x 10^-3) - (2 x 10^-6)
Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!
Answers
Answer:
9.998 x [tex]10^{-3}[/tex]
Step-by-step explanation:
ANSWER: 9998 x 10^-6
[tex]{{hope it helps}}}[/tex]
PLEASE HELP ASAP!
a. 4
b. 8
c. 16
d. 24
which one????
Answers
Answer:
A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
of the 400 members in a health club, 270 use the weight room, 180 use the pool and 80 use both. Determine the number of members that do not use either the weight room
or the pool.
A 30
B) 130
C 190
D) 100
Answers
Really hope it helps !
Which of the following statements is true for this distribution? (No calculations are required to answer this question.)
50
60
70
80
O A Mean > Median
O
B. The relationship between the mean and median cannot be determined from the display.
O
C. Median > Mean
O D. Mean = Median
Answers
Answer:
The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.
Hence, the correct option is A.
To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation
solve the equation (log base 3^x)^2_6log base 3^x+9=0
Answers
Step-by-step explanation:
the answer is in the above image
