10. Write an expression in simplified form to
represent the area of the trapezoid.
Answers
Answer:
48[tex]x^{7}[/tex]y
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases , then
A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )
= 2[tex]x^{5}[/tex] × 24x²y
= 48[tex]x^{7}[/tex]y
The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
Trapezium.
Height = 4[tex]x^5[/tex]
Parallel sides are 15x²y and 9x²y.
The area of the trapezium.
= 1/2 x h x ( sum of the parallel sides )
Now,
Area of the trapezium.
= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)
= 2[tex]x^5[/tex] x (15x²y + 9x²y)
= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]
Thus,
The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].
Learn more about trapezium here:
https://brainly.com/question/22607187
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Related Questions
WILL GIVE BRAINLIEST AND 20 POINTS!
To prevent fraying, a binding is attached to the outside of a circular rug whose radius is 3 ft. If the binding costs $1.35 per foot, find the cost of the binding. Use 3.14 for . (Round your answer to the nearest cent.)
$
Answers
Answer:
$4.71
Step-by-step explanation:
you would multiply the radius times pi (you would get 6.42 ft) and then divide that by 1.35 (simplifying it to 642 divided by 135 and you would then get 4.706...)which rounds to the answer
What is the output of the function when the input is 10? On the graph plot this point and label its coordinates
Answers
Answer:
Output value = 20
Step-by-step explanation:
Graph of any function is made up of two values → Values on x axis and Values along y axis.
x values represent the input values and y values represents the output values.
For every x value there is a y value because of which the data set is called to a function.
In other words, a function can't have two output values for a single input value.
If the input value of function is = 10
Then for x = 10, out value (along y axis) will be = 20
Therefore, Output value of the given function is 20.
i need help with geometry!
Answers
Step-by-step explanation:
If m is parallel to n and one of its angle is 25
Therefore, the vertically opposite angle to angle of 25 is also equal to 25
Now, we have to find x
Therefore, x=180-25 ( interer angles on the same side of the transversal so addition of both angles is 180)
Therefore, x =155
A number line is shown.
E
F
H
G
+
10
-10 -5
0
15 20
Which two point values create a zero pair?
A points E and F
B points Fand G
cpoints G and H
D points E and H
Answers
Answer:
it's b) F and GStep-by-step explanation:
to understand thisyou need to know about:integeradditionPEMDASlet's solve:-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
it's bPlease Help 1 24 + r ; r = 9 2 2a + 3 ; a = 10 3 Bc + 12.3 ; b = 9, c = 4 4 p ÷ q ; p = 24, q = 8 5 4c - 7.8 ; c = 4 6 c - a ; a = 3, c = 17 7 a ÷ 2c ; a = 20, c = 2 8 3x - 14 ; x = 5 9 1.5 + y² ; y = 6 10 t/5 + 6 ; t = 45
Answers
Answer:
See solution below
Step-by-step explanation:
Given the following expression
1) 24+r
If r = 9
24 + r = 24+9
= 33
2) 2a+3
If a = 10
Substitute
2(10)+3
= 20+3
= 23
3) BC+12.3
b = 9
c = 4
Substitute
= 9(4)+12.3
= 36+12.3
= 48.3
4) p÷q
Given p = 24 and q = 8
p÷q = 24÷8
p÷q = 3
5) 4c-7.8
If c = 4
Substitute
= 4(4)-7.8
= 16-7.8
= 8.2
6) c-a
a = 3
c = 17
Substitute
= 17-3
= 14
Hence c-a = 14
7) a ÷ 2c ; a = 20, c = 2
Substitute
a÷2c
= a/2c
= 20/2(2)
= 20/4
= 5
8) 3x-14
If x = 5
Substitute
= 3(5)-14
= 15-14
= 1
9) 1.5 + y² ; y = 6
Substitute
= 1.5+6²
= 1.5+36
= 37.5
10) t/5 + 6 ; t = 45
substitute the value of t given into the expression
= 45/5 + 6
= 9 + 6
= 15
Tommy went to the mall and bought a shirt for $10 and a pair of pants for $30. Their was a sales tax of 7% on his purchase. How much did he pay in total?
Answers
Answer:
42.8
Step-by-step explanation:
(10+30)*1.07=42.8
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad? 2 pounds 223 2 2 3 pounds 3 pounds 313 3 1 3 pounds
Answers
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds
Five whole numbers are written in order.
4 6 x y 10
The mean and median of the five numbers are the same.
Work out the values of x and y.
Answers
y = 8
As 7 is the median as it would be the middle number and the mean would now be 7 as well
Help what do I fill in!?!
Answers
Answer:
6 AND 8
Step-by-step explanation:
Which situation can be represented by y = 10x?
Answers
hope that it’s correct.
Answer:
56 ok
Step-by-step explanation:
During a theater matinee show, the power went out. The theater manager refunded the
ticket price to everyone attending. Let n represent the number of people attending the
show. Let r represent the total amount of money refunded. Wite an equation to represent
the amount of money refunded.
Ticket Price Board
Adults
$13.00
Children & Seniors
$11.00
Matinees: All Ages
$9.00
Answers
Answer:
r = 9n
Step-by-step explanation:
Ticket price of each tickets for the matinee show = $9 for all ages
If the number of persons who attended the matinee show = n
And the total amount refunded = r
Then the expression representing total amount refunded 'n' in terms of 'r' will be,
Total amount refunded = Price of ticket × Number of tickets
r = 9n
What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.
Answers
Answer:
0.8
Step-by-step explanation:
Answer:
.8
Step-by-step explanation:
what are two fractions that equal -7/10?
Answers
Answer:
-14/20
-21/30
Step-by-step explanation:
-7/10
-7x2=-14 and -10x2=-20
-14/20
-7/10
-7x3=-21 and -10x3= -30
-21/30
After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?
Answers
Answer:
Present age = 13 years
Step-by-step explanation:
Let the present age be x years.
14 years after age = (x + 14) years
4 years ago age = (x - 4)
According to the given information:
14 years after age = 3 times 4 years ago age
x + 14 = 3(x - 4)
x + 14 = 3x - 12
14 + 12 = 3x - x
26 = 2x
x = 26/2
x = 13 years
Thus, the present age is 13 years
A TV has a listed price of $ 796-99 before tax. If the sales tax rate is 6.75% find the total cost of the TV with sales tax included
Round your answer to the nearest cent, as necessary
Answers
Answer:
$850.79
Step-by-step explanation:
Assuming "$ 796-99" meant $796.99
796.99 increase 6.75% =
796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825
Brian bought 215 pounds of strawberries. In the afternoon his brother ate 56 of the strawberries. How many pounds of strawberries did his brother eat?
Answers
Hi there!
Step By Step:
We know that 215 pounds are about 215 strawberries since every strawberry are about 1 pound.
Let think about this... 215 pounds are 215 strawberries.
If his brother ate 56 of the strawberries, it means that his brother ate 56 pounds of the strawberry.
We can also think like this... 56/215
Final Result: 56 pound sof strawberries.
What is the measure of the indicated angle ?
Answers
Answer: this is easy put attention to your teacher
Step-by-step explanation:
Geometry
Help please
Answers
Step-by-step explanation:
14x+y=60
4x-6= 10
4x= 16
x= 4
56+y=60
y= 4
help QUICK I HAVE 17 MIN LEFT WILL GIVE BRAINLIEST
Answers
Answer:
5 : 9
Step-by-step explanation:
Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team
Answers
Given:
The company charges $250 for the onetime set-up fee and $23 for each printed jersey.
To find:
The expression that represents the total cost of x number for the team.
Solution:
We have,
Fixed charges = $250
Additional charges = $23 per printed jersey
Let x be the number of printed jersey. Then,
Additional charges = $23x
Total chargers = Fixed charges + Additional charges
= $(250 + 23x)
Therefore, the expression for the total charges is $(250 + 23x).
here is my question
Answers
Answer:
A is correct
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Which expression represents a factorization of 32m + 56mp?
A 8(4m + 7p)
B 8(4 + 7)mp
C 8p(4 + 7m)
D 8m(4 + 7p)
Answers
Answer:
D 8m(4 + 7p)
Step-by-step explanation:
The GCF of 32 and 56 is 8.
m and mp have m in common, so you can factor out 8m.
32m + 56mp = 8m(4 + 7p)
Answer: D 8m(4 + 7p)
Answer: D, 8m(4+7p)
Step-by-step explanation:
8m times 4=32m
8m times 7p=56mp
There are 2 rectangles. One was 1.2 cm by 3.4 cm. The other was measured 2.1 cm by 1.7 cm. How much is the perimeter?
Answers
Answer: See explanation
Step-by-step explanation:
Perimeter of a rectangle is given as:
= 2(length + breadth)
First rectangle measures 1.2 cm by 3.4 cm. The perimeter will be:
= 2(1.2+ 3.4)
= 2(4.6)
= 2 × 4.6
= 9.2cm
Second rectangle measured 2.1 cm by 1.7 cm. The perimeter will be:
= 2(2.1 + 1.7)
= 2 × 3.8
= 7.6cm
Total perimeter = 9.2cm + 7.6cm = 16.8cm
What do i do if i need to round to the thousandth place but only have a tenth place? for example round 18.3 to the nearest hundredth. Can I even do it?
Answers
Answer:
yes you can
Step-by-step explanation:
if you rounded 18.3 to the tenth it would be 183 and if you rounded it to the hundreds it would be 1,830
Look at the square find the value of C
Answers
Answer:
5
Step-by-step explanation:
Perimeter is created by add all sides together
20 / 4 sides = 5
please help 10 points
Answers
Answer:
Sana di ten points
Step-by-step explanation:
B
#carryonlearning
Click on the dot plot
PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST
Answers
Answer:
neither one of those are a dot plot
Step-by-step explanation:
Answer:
height of kids in class is the dot plot
Step-by-step explanation:
Sally needs to buy 13 250 mm of edging for her garden. The edging costs $11 per metre. Calculate the total
amount Selly will need to pay for the garden edging.
Answers
13.25 * $11 = 145.75
i need to find the 9th term of this sequence
Answers
9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
_____
Additional comment
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
Can 0.1/100 be simplified?
Answers
Answer:
Yes, the answer would be 0.001
Step-by-step explanation: