Answers
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Related Questions
A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answers
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
Answers
Answer:
The Original Number is 36 :)
explanation:
HELP NEEDED ASAP!!!!!
Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)
Answers
Answer: (-3, 4)
Step-by-step explanation:
The point at which both lines intersect is (-3, 4)
And since they intersect at ONE point, it just has one solution.
Hope I helped!
The sum of two numbers is 57 and the difference is 23 what are the numbers?
Answers
!!!!
Answer:
40 and 17
Step-by-step explanation:
40 + 17 = 57
40 - 17 = 23
Not much of an explanation but hope it helps!
A table of equivalent ratios is given.
What is the missing number in the table?
Answers
Answer:
It's 30
..................
they all are equal to 1:3
so 90/3=30
answer is 30 !
22 students is __% of 50 is 10
Answers
Answer:
44
Step-by-step explanation:
i think its right
A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.
To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?
9%
15%
21%
57%
Answers
Answer:
15%
Step-by-step explanation:
please help me with these two problems thank you!!
Answers
Answer:
1st question: y=1/3x-1
2nd question: y=-2/3x+9
Step-by-step explanation:
Y=mx+b form is what you are using
when a line in parallel to a line they have the same slop wich is m
when a line in perpendicular they have the opposite reciprocal
Examples: 2/5 opposite reciprocal would be -5/2
Similar
Not Similar
Please help please
Answers
Answer:
I dont think thats similar
Step-by-step explanation:
PLEASE HELP ANYONE!!!Write the exponential regression representing the population of Lazy Town as a function of time in years
Answers
Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
We have, [tex]a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
Putting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Thus, [tex]y_1\sim 8000(0.9)^{x_1}[/tex] is the required exponential regression representing the population of Lazy Town as a function of time in years.
Find the selling price.
Cost to store: $140
Markup: 25%
The selling price is $
Find the selling price.
Cost to store: $80
Markup: 60%
The selling price is $
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is $
Answers
Answer:
1.$175
2.$128
3.$55
Step-by-step explanation:
1.
40×.25=35
140+35=175
2.
80×.6=48
80+48=128
3.
50×.1=5
50+5=55
Answer:
1 87.5
2 49.7
3 0.79
4 700
5 4.8825
6 24
7 10
explanation:
sana makatulong
Round 344,501 to the nearest ten thousand
Answers
Answer:
340,000
Step-by-step explanation:
340e3
is 4 a factor of 72
Answers
Answer:
Yes
Step-by-step explanation:
Yes. 72 divided by 4 would be 18, so it is a factor
Answer:
Yes
Step-by-step explanation:
Yes because 4 x 18 = 72
72 divided by 18 = 4
I know this because if you multiply 4 x 18 you will get 72. To check you can do the inverse operation, which is division, so with that being said, 72 divided by 18 = 4.
I explained to so you can have a better understanding. Have a great day!
2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments to show your work)
Answers
Answer:
16,000
Step-by-step explanation:
Solving using exponents (picture)
Answer:
2^(2)*4^(3)*5^(4)=160000
Step-by-step explanation:
Simplify the following expression:
9^−53 ⋅ 9^37
Please also explain your answer. Thanks!
Answers
Answer:
Simplify the expression.
Exact Form:
1 /1853020188851840
Decimal Form:
5.39659527 x 10 − 16
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST
Answers
Answer:
B=12/13
Step-by-step explanation:
Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA
What is a closing balance?"
a. The amount of money you have at the end of the statement period
b. The amount of money you have when you close your account
С The amount of money you owe at the end of the statement period
d The amount of money waiting to be transferred out of your account.
Answers
a. The amount of money you have at the end of the statement period
simplify the equation(-3)^-4
Answers
Answer:
-12
Step-by-step explanation:
which description is correct?
an increase by 5/6
a decrease by 5/11
Answers
Answer:
a decrease by 5/11 I beleive.
If m<FCB = 84°, then what is m<MCA?
Answers
Explanation:
Angle MCA = FCB (Vertically opposite angle)
So if FCB = 84 degrees
Thus, MCA also equal 84 degrees
If the diameter of a circle is 80m, then what is the radius of the circle
Answers
Answer:
40m
Step-by-step explanation:
Radius is half of diameter
200 ÷ 70 ONLY THE ANSWER AND REMAINDER IF THERE IS.
Answers
Answer:
2 remainder 60!
Step-by-step explanation:
Six students share 8 granola bars equally. How many granola bars does each student get?
Answers
Answer:
1 whole one and a third of one.
Step-by-step explanation:
1 1/3 of a granola bar
Answer: 1.33333333333 or 1.3 as a repeating decimal
Just divide 8 ÷ 6
PLEASE HELP!!!!
What is the average between 0.0, 1.2, 2.8, 4.2, 16.34
Answers
Answer:
4.904
Step-by-step explanation:
To find this, add all of the numbers up then divide by however many numbers there is
All numbers equal 24.52 the divide by 5
need help asap please
Answers
Answer:
-3.4
Step-by-step explanation:
-26=10A+8
-26-8=10A
-34=10A
-34/10=A
-3.4=A
Answer:
a= -17/5 or -3.4
Step-by-step explanation:
Move all terms that don't contain a to the right side and solve.
Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
swim and run altogether?
28 miles
28 miles
28 miles
29 miles
Answers
Step-by-step explanation:
bdhdhjndnfdndnnskdkdkskdkdkd
3x^3-21x^2-54x multiplicity
Answers
Answer:
3x (x+2) (x−9)
(factored)
hope this helps :D
Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures
Answers
Answer:
C. size
Step-by-step explanation:
A dilation does not change the shape of a figure, but it can change the size.
please help asap!!!
1. ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < d = 2x + 20. Angles B&C are congruent. What is the measure of angles B&C?
2. QRST is a rectangle. RS = 12k +5 and QT = 145. what is the value of 'k'?
Answers
Answer:
∠ B = 123°, ∠ D = 57°
Step-by-step explanation:
Each lower base angle is supplementary to the upper base angle on the same side.
∠ A and ∠ D are on the same side, then
6x + 12 + 2x + 20 = 180
8x + 32 = 180 ( subtract 32 from both sides )
8x = 148 ( divide both sides by 8 )
x = 18.5
Thus
∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°
∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°
The lower base angles and the upper base angles are congruent, so
∠ B = ∠ A = 123°
∠ C = ∠ D = 57°
Answer:
Step-by-step explanation:
#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.
--- If angle A is acute, then m∠A = m∠D
and
6x + 12 = 2x + 20 ⇒ x = 2
m∠A = m∠D = 24°
m∠B = m∠C = 180° - 24° = 156°
--- If angle A is obtuse, then m∠A + m∠D = 180°
and
6x + 12 + 2x + 20 = 180 ⇒ x = 18.5
m∠A = m∠B = 6(18.5) + 12 = 123°
m∠D = m∠C = 2(18.5) + 20 = 57°
#2). 12k + 5 = 145
12k = 140
k = [tex]\frac{35}{3}[/tex] = [tex]11\frac{2}{3}[/tex]
Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-kilometer race id approximately 6.2 miles. Write an equation that shows the approximate distance in kilometers as a function if the distance in miles
Answers
Answer:
[tex]x=\dfrac{y}{0.62}[/tex]
Step-by-step explanation:
[tex]5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}[/tex]
[tex]10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}[/tex]
Let [tex]y[/tex] be the distance in miles. So distance in km is given by
[tex]x=\dfrac{y}{0.62}[/tex].
The equation that shows the approximate distance in kilometers as a function if the distance in miles is [tex]x=\dfrac{y}{0.62}[/tex].