Find the area of the trapezoid below by decomposing the shape into
rectangles and triangles.
6
5
8
3
Answers
Answer:
72 square units
Step-by-step explanation:
The area of the rectangle in the middle: 6x8 = 48 square units
The area of the triangle on the left: (5x6)/2 = 30/2 = 15 square units
The area of the triangle on the right: (3x6)/2 = 18/2 =9
(The 6 for the height of the triangle on the right is from the left side of the rectangle in the middle, they have to be the same length)
48+15+9 = 72 square units
Related Questions
raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria
Answers
Answer:
The percentage (score) obtained by Ria is 78%
Step-by-step explanation:
The given percentage Raj obtained in the exam = 51%
The marks Raj obtained = 459 marks
The marks Ria obtained in the same exam = 702
The percentage obtained by Ria is given as follows
Let x represent the total score of the exam, we have;
51% of x = 459
Therefore;
51/100 × x = 459
x = 459 × 100/51 = 900
The total score in the exam = 900
The percentage score obtained by Ria is therefore given as follows;
Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%
Therefore, the percentage (score) obtained by Ria = 78%.
Given: FG is an median. What can you conclude?
Answers
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
Learn more about median;
https://brainly.com/question/17060266
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There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.
Answers
Answer:
1/2
Step-by-step explanation:
Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.
Answers
Answer:
im looking for the anwser
Step-by-step explanation:
What is the slope of the line on this graph
Answers
Answer:
In math, slope is used to describe the steepness and direction of lines
Step-by-step explanation:
Please help answer the first 5 boxes for brainslt
> for brainslt
Answers
Step-by-step explanation:
5 points is too small for this..
A cubical water tank is 80cm board.
(i) Find the volume of the tank.
(ii)How many cm.cube of water does it hold?
(iii)If 1000cm.cube = 1 litre,how many litres of water does it hold
Answers
Answer:
(i) 512,000 cubic cm
(ii) 512,000 cubic cm
(iii) The tank holds 512 liters of water
Step-by-step explanation:
Capacity and Volume
Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.
(i)
The cubic tank has a side length of a=80 cm. The volume of a cube is:
[tex]V=a^3[/tex]
[tex]V=80^3[/tex]
[tex]C=512,000\ cm^3[/tex]
(ii)
The tank holds 512,000 cubic cm of water
(iii)
Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.
Dominic is deciding between two different movie streaming sites to subscribe to. Plan A costs $27 per month plus $3 per movie watched. Plan B costs $35 per month plus $1 per movie watched. Let
A
A represent the monthly cost of Plan A if Dominic watches
x
x per month, and let
B
B represent the monthly cost of Plan B if Dominic watches
x
x movies per month. Write an equation for each situation, in terms of
x
,
x, and determine the interval of movies watched,
x
,
x, for which Plan A is cheaper than Plan B
Answers
subtract 27 from both sides
3x < 8+ 1x
subtract 1x from both sides
2x < 8
divide by 2
x <4
Plan A is cheaper if less than 4 movies are rented
2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
from her paycheck for Social Security? How much for Medicare?
Social Security Withheld is: $
Medicare Withheld is: $
Answers
Answer:
Social Security: $9.63
Step-by-step explanation:
hi plz help
33 is what percent of 60? part/whole = percent?
Answers
Answer:
36
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
In order to find the percentage of 33 of 60, you can set up the fraction 33/60 to x/100 like below:
[tex]\frac{33}{60} = \frac{x}{100}[/tex]
Now simply solve for x:
60 * x = 33 * 100
60 x = 3300
x = 3300 / 60 = 55
33 is 55% of 60
What is a new denominator
Answers
1= Numerator
2= Denominator
Express (-3+2i)(-6 - 8i) in a + bi form.
Answers
The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
For more references on complex numbers, click;
https://brainly.com/question/20566728
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Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57
Answers
Answer:
The actual selling price is $58.04 and the markdown is $6.96
Hope this helps :)
2×2 write the correct answer below
Answers
Answer:
4 :-)))))))) have a wonderful day!
what is 0.94 (m) in (cm)
Answers
Answer:
the answer is 94cm
Step-by-step explanation:
1m=100cm
0.94m= 0.94×100
= 94cm
Hope it will help you.......Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.
0.94 m = 94 cm.
Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D
I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.
Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answers
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Chicago tour schedule :
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)
Total touring time in Chicago = 4 hours 35 minutes
Dinner time is slated at 5:10 pm
Latest time to start tour :
5:10 pm - 4 hours 35 minutes = 1 :35 pm
Find the surface area for the triangular prism below. Whoever answers right the quickest will get brainliest. PLEASE HELP QUICKLY!!!
Answers
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answers
Answer:
29.095
Step-by-step explanation:
115 x 253 = 29095 mL
convert mL to Liters
Just do 29095 divided by 1000
What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form
Answers
Answer:
the answer is y=6/5x-7
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-7)/5-0
m=6/5
y-y=m(x-x¹)
y-(-1)=6/5(x-5)
y+1=6/5x-6
-1 -1
y=6/5x-7
Parallel lines have the same slope
Answers
True.
Any and all lines that are parallel share the same slope.
Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
Answers
Answer:
70
Step-by-step explanation:
840 / 12 = 70
A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!
Answers
The shipping charge is $3.25
$3.25
Which of these is a ratio table?
Answers
Answer: last one
Step-by-step explanation:
It's the only one with a solid rate of change
The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w
Answers
Answer:
Perimeter [tex]=4w+10[/tex]
Step-by-step explanation:
Let [tex]w[/tex] = width of the rectangle.
From the information "length of a rectangle is 5cm more than width", we can write:
Length = [tex]w+5[/tex]
- - - -
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(w+5)+2w[/tex]
[tex]=2w+10 + 2w[/tex]
[tex]=4w+10[/tex]
∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].
Hope this helps :)
Parallelogram P was dilated to form parallelogram P prime.
Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.
What is the value of x? (Figures not drawn to scale.)
Answers
Answer:
x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....
Answer:
1 is the answer
Step-by-step explanation:
got a 100% on my test
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
PLEASEE HELP ME!!!!!!!!!!!
Answers
Answer:
26%
Step-by-step explanation:
13/50=0.26
0.26x100=26%
Need help ASAP it’s due at 12 tonight
Answers
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:
A = P(1 + r/n)^nt
n = number of times in a year for which the amount is compounded :
Annually : compounding times = 1 = 12 /12
Semi annually (6 months) ; N = 12 /6 = 2
Quarterly ; (3 months) ; N = 12 /3 = 4
Monthly ; (12 months) ; N = 12 / 12 = 1
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answers
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
The size of the hermit crab’s shell depends on
the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.
Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x
Answers
Answer:
i. the length of the of the crab per year is greater than its number of years (x) by 2
ii. length = x + 2
Step-by-step explanation:
i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;
the length of the of the crab per year is greater than its number of years (x) by 2.
ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:
length = x + 2
lim x → 0, 1, 2,.., x,....
where x is the number of years
Therefore in x years, the length of the crab would be equal to x + 2.