Figure ABCD - Figure EFGH.
F 2.5 G
5.0 C
B
3.0
E
4.0
A 8.0D
Perimeter of ABCD = 20
Perimeter of EFGH ?)
Enter
Answers
Answer:
10
Step-by-step explanation:
1.5+2.5+2+4=10 b/c the figure is the half of the biger lines
The perimeter of the quadrilateral EFGH is 10 units.
What is perimeter?Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.
For the given situation,
The diagram shows the two quadrilaterals ABCD and EFGH.
The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.
Here BC = 5.0, FG = 2.5
⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]
⇒ [tex]\frac{1}{2}[/tex]
So the lengths of EFGH is half than that of ABCD.
Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5
Thus the perimeter of EFGH is
Perimeter = Sum of all sides
⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]
⇒ [tex]Perimeter = 10.0[/tex]
Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.
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Related Questions
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)
Write one of the zeros
Answers
What is five ones and eight tenths greater than or less than or equal to fifty eight tenths
Answers
Answer:
definetely 2
Step-by-step explanation:
Answer:
Less than
Step-by-step explanation:
Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.
Hope this helps! :)
The product of 2 and a number x is 34.
What is the value of x?
x=54
x=38
x=114
x=32
Pls help me with this guyssss plssss ( I will give brainliest too!) :)
Answers
x = 17
Step-by-step explanation:
The product of 2 and a number x is 34 =
2x = 34
x = 34/2
x = 17
Answer:
x=17
Step-by-step explanation:
Product means multiply is means equals
2x = 34
Divide each side by2
2x/2 = 34/2
x = 17
Plzzz help 10 points and will mark brainiest
hint: answer is a fraction
Answers
Answer:
1/3
Step-by-step explanation:
The left side of FA is 6 units.
The left side of FB is 2 units.
From 6 to 2, you divide by 3.
Same for the top,
FA is 9 units, while FB is 3 units.
I hope this helps!
pls ❤ and mark brainliest pls!
Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?
Answers
Answer:
Leo's weight at the end of the fourth week = 181.7 pounds
Step-by-step explanation:
Leo's initial weight = 190 pounds
First week = lost 4.3 pounds
New weight = 190 pounds - 4.3 pounds
= 185.7 pounds
Second week = lost 2.8 pounds
New weight = 185.7 pounds - 2.8 pounds
= 182.9 Pounds
Third week = gained 0.7 pounds
New weight = 182.9 pounds + 0.7 pounds
= 183.6 pounds
Fourth week = lost 1.9 pounds
New weight = 183.6 pounds - 1.9 pounds
= 181.7 pounds
Leo's weight at the end of the fourth week = 181.7 pounds
Alternatively
New weight = initial weight - first week - second week + third week - fourth week
= 190 - 4.3 - 2.8 + 0.7 - 1.9
= 181.7 pounds
What is the answer to P(4)=4n + 5
Answers
Answer:
P(x) = 4n+5
P(4) = 4(4)+5
P(4) = 16+5
P(4) = 21
The answer is 21.
Let me know if this helps!
Geometry, please answer question ASAP
Answers
Find the indicated side of the right triangle
Answers
Answer:
Step-by-step explanation:
tan30°=3/x
xtan30°=3
x=3/tan30°
x= 5.2
1. Eddie ordered customized cups. He was
charged a $30 design fee plus $8 per cup. His
total order was $334. How many cups did Eddie
order?
Answers
Answer:
38 cups
Step-by-step explanation:
8c + 30 = 334
8c = 334 - 30
8c = 304
c = 304 ÷ 8
c = 38 cups
The total number of cups ordered by Eddie is 8
Design fee = $30
Cost per cup = $8
Total cost of order = $334
Let the number of cups ordered = p
The total cost of order can be represented by the equation :
Design cost + (cost per order × Number of orders)
$30 + (8p) = $334
8p = 334 - 30
8p = 304
p = 303 / 8
p = 38
Hence, the number of cups ordered is 8
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Element X is a radioactive isotope such that every 42 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 45 grams, to the nearest tenth of a
year?
Answers
Answer:
6.38548 years
Step-by-step explanation:
1 = 2 [tex]e^{42k}[/tex]
1/2 = [tex]e^{42k}[/tex]
ln(1/2) = 42k ln(e)
ln(1/2)/42 = k
k = -0.01650
~~~~~~~~~~~~~~
45 = 50 [tex]e^{-0.01650t}[/tex]
45/50 = [tex]e^{-0.01650t}[/tex]
ln(45/50) = -0.01650 t ln(e)
ln(45/50)/ -0.01650 = t
t = 6.38548 years
The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years
What is half-life of an element?The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.
Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value
The decay constant λ is = 0.693/t½
where t½ is the half-life of the element
Given data ,
Let the number of years be t
Let the initial mass of the element be a = 50 grams
The final mass of the element be ( a - x ) = 45 grams
Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half
And , half life t½ = 42 years
So , the decay constant k = 0.693/t½
k = 0.693 / ( 42 )
k = 0.0165
And , k= 2.303/t {log (a/a-x)}
So , t = 2.303 / ( 0.0165 ) log ( 50/45 )
On simplifying , we get
t = 6.384129 years
Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years
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If the density of the wood is 3 pounds per cubic foot and if the weight of the solid is
360 pounds, what is the width, w, in feet, of the solid?
(A) 5.0
(B) 2.5
(C) 2.4
(D) 1.5
The area of the triangular face of the solid is 48 if that helps
Answers
The width in feet of the given solid is 1.136
Density is defined as the ratio of the mass per unit volume
Density = Mass/Volume
Given
Weight = 360 pounds
Density = 3 pounds per cubic foot
Get the mass;
Since W = mg
m = W/g
m = 360/2.2
m =163.64 lbm/kg
Get the volume
From the formula;
Volume = Mass/Density
Volume = 163.64 /3
Volume = 54.55 ft³
Next is to get the width
Volume of the triangular prism = Base Area * Width
Base Area = 48ft²
54.55 = 48w
w = 54.55/48
w = 1.136
Hence the width of the solid in feet is 1.136ft
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Carrie rolls two 1-6 number cubes. How many outcomes are possible?
Answers
Answer:
36
Step-by-step explanation:
The first dies has 6 possible outcomes
1,2,3,4,5,6
The second die has 6 possible outcomes
1,2,3,4,5,6
6*6 = 36
There are 36 outcomes
First Sample space
[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]
[tex]\\ \sf\longmapsto |S|=6[/tex]
Now There are two cubes mean n=2
[tex]\\ \sf\longmapsto |S|^n[/tex]
[tex]\\ \sf\longmapsto 6^2[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
irrational numbers on a number line pls help!!
Answers
sr(16) = 4 so -sr(17) is slightly below than -4
cr(8) = 2 because 2x2x2=8 so cr(9) is slightly above 2
cr(1) = 1 and cr(8) = 2 so cr(4) is between 1 and 2
Try the others yourself.
-
what is the measure of B?
Answers
Answer:
A. 28°
Step-by-step explanation:
Since sides AC and AB are congruent, their opposite angles are congruent.
m<B = m<C = 28°
Answer: A. 28°
Answer:
The answer is A
Step-by-step explanation:
What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.
If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.
<B = <C
<C = 28 degrees
<B = 28 degrees
branches of chemistry
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]
[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
Which set of numbers are rational numbers but not integers whole numbers or natural numbers?
Answers
The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.
Hence the third option is correct.
Use the concept of rational number defined as:
A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
It can be represented as p/q,
Where p and q are integers and q is not equal to zero.
Examples of rational numbers include 1/2, -3/4, and 5/7.
Now analysing the given options we can see that,
The numbers 1/2, 1/4 and 1/8 are rational but not an integer.
Therefore,
The set { 1/2, 1/4, 1/8} is the correct one, which is option third.
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There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.
Answers
Answer:
21/55
Step-by-step explanation:
7 blue counters, 3 green counters and 1 red counter = 11 counters
1st counter
P(blue)= blue / total = 7/11
Now there are only 10 counters
6 blue counters, 3 green counters and 1 red counter = 10 counters
2nd counter
P(blue)= blue / total = 6/10 = 3/5
P(blue blue) = 7/11 * 3/5 = 21/55
mp rs 700 and sp rs 524 find discount step by step.
Answers
[tex]\boxed{\sf Discount=CP-SP}[/tex]
[tex]\\ \sf\longmapsto Discount=700-524[/tex]
[tex]\\ \sf\longmapsto Discount=176[/tex]
Answer:
cost price(cp)=rs.700
sold price(sp)=rs.524
discount =cp-sp
discount =700-524
discount =rs.176
the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..
Answers
Answer:
186,250 rs
Step-by-step explanation:
So
149m is the whole space
0.2m is one tile space
250 rs = 0.2 tiles (so 250=1)
so if there is
which letter has horizontal not vertical symmetry H, W, Y, E
Answers
I thing W,Y is righ am i right.
What is the slope of the line?
Answers
Answer:
A number that describes both the direction and the steepness of the line is known as slope of the line .
A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us
Answers
Answer:
90
Step-by-step explanation:
If they put 50 sheets per box, then it is just simple division.
4,500 divided by 50 is 90.
Answer:
90 boxes
Step-by-step explanation:
They need to ship 4500 sheets of paper.
They put 50 pages in each box.
# of boxes they will need = amount of paper / amount of paper they put in each box
# of boxes they will need = 4500 / 50 = 90
2/3 divided by -2 (in fraction form)
Answers
2/3 divided by -2
now,
answer= 2/3×1/2
we need to receprocal the number if we have to change division into multiplication...
= 1/3
we cut 2 as it is equal and present in both denomenator and numerator....
Answer:
-2/6
Step-by-step explanation:
the prouduct of any two irrational number is
Answers
Answer:
mostly rational but sometimes irrational
Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answers
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
the set is points indicated by 12.is the ___ of the angle
Answers
Answer:
Vertex
Step-by-step explanation:
The vertex is the point were two rays meet to form an angle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answers
Answer:
a7 = 55 + (7-1) 10
Step-by-step explanation:
See,
It's given that it will take 7 hours for Jiya to move.
$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.
Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.
Therefore, the correct option is:
a7 = 55 + (7-1) 10
Translate this sentence into a equation. The sum of 22 and chau’s are is 54. Use the variable c to represent chums age
Answers
Answer:
22+c=54
Step-by-step explanation:
22 + his age =54
HELP PLZ!! Convert 80 mph (miles per hour) to feet per second.
Answers
Answer:
117.33333 feet per second
Step-by-step explanation:
Evaluate 10 + 8 ÷ 2 − 4
Answers
Step-by-step explanation:
we will solve this question according to BODMAS rule...
B for bracket
O for of
D for division
M for multiplication
A for addition
S for Subtraction
10+4-4
14-4
10 Answer..
Answer:
10
Step-by-step explanation:
Using order of operations as stated in PEMDAS , that is
division is performed before addition/ subtraction , then
10 + 8 ÷ 2 - 4
= 10 + 4 - 4
= 14 - 4
= 10
