Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
Combine like terms and write the simplified
Answer:
4x-3 16t-4
Step-by-step explanation:
Answer:
1. 8x-4x=4x
5-2=3
so the answer will be
4x+3
2.9t-7t+12-8=2t+4.
3.i have no idea
4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.
38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense.
please i need real time help
It looks like the integral is
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy[/tex]
where C is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing C. Let x = 2 cos(t ) and y = 2 sin(t ), with 0 ≤ t ≤ 2π. Then
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}[/tex]
Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on C nor in the region bounded by C, so
[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy[/tex]
where D is the interior of C, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: [tex]-2\times \pi\times2^2 = -8\pi[/tex].
how many numbers of four different digits can be formed from the integers 0,2,4,5,6.
Answer:
420 even numbers
Step-by-step explanation:
Answer
Total 4 digit even numbers = (Total even numbers) - (Total 3 digit even numbers)
Total even numbers: 4⋅6⋅5⋅4=480
Total 3-digit even numbers: 3⋅5⋅4⋅1=60
Total 4-digit even numbers: 480−60=420 ??
Step-by-step explanation:
(20 points) please help
Answer: The antonym of multiply is divide.
Answer:
Divide
Step-by-step explanation:
Antonym simply means the opposite of the given word.
So the opposite of multiplication is division thus division is the answer.
HOPE THIS HELPED
Find the value of x 3(4x+3)
3(4x+3)=12x+9
i don't know what do you need,
if roots, let 12x+9=0
the root is x=-3/4
Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?
Answer:-1,4
Step-by-step explanation:
The solution to an inequality is represented by the number line
If m ABC=25 and m CBD= 35 then m ABD=
Answer:
Angle ABD = 60
Step-by-step explanation:
Angle ABD = angle ABC + angle CBD
We are given that angle ABC = 25 and angle CBD = 35
So angle ABD = 25 + 35 = 60
Answer:
60
Step-by-step explanation:
to find the length of the entire angle, you will have to add both seperated sides to find it.
<ABC = 25
<CBD = 35
25 + 35 = 60
So, <ABD = 60
Hope this helped.
Referring to the figure, find the volume of the solid
shown. Round to the nearest whole number.
First find the area of the triangle using the formula 1/2 x base x height:
1/2 x 22 x 13 = 143 square cm
Now for volume multiply the area by the depth of the figure:
143 x 30 = 4,290 cubic cm
Answer:
780
Step-by-step explanation:
First use pythagorean theorem to find the triangle, then multiply by 30
Find the HCF of the following by long divosiin method 102,68,136
Answer:
102=2*3*17
68=2*2*17
136=2*2*2*2*17
The common prime factors are 2 and 17
Highest common factor (HCF)=2*17=34
Hope it helps you.Factor 2x² + 13x + 20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
9514 1404 393
Answer:
(x +4)(2x +5)
Step-by-step explanation:
To factor this, you look for factors of 2·20 = 40 that have a sum of 13.
The factor pairs of 40 are ...
40 = 1·40 = 2·20 = 4·10 = 5·8
The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.
There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:
2x² +5x +8x +20
= x(2x +5) +4(2x +5) . . . . . factor pairs of terms
= (x +4)(2x +5) . . . . . . . . . factor out the common factor
If the statement if I'm hungry, then I am not happy is assumed to be true is it's inverse of I am not hungry then I must be happy also always true
Answer:
yes!
Step-by-step explanation:
"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."
Answer:
No
Step-by-step explanation:
Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 19 options:
A)
y = 3(x + 2)2
B)
y = (x – 2)2
C)
y = (x + 2)2
D)
y = 3(x – 2)2
Answer:
D
Step-by-step explanation:
standard form would be 3x^2-12x+12
vertex form y=3(x-2)^2
Answer:
y = 3(x + 2)2
Step-by-step explanation:
The maxwell family goes out for dinner and the price of the meal is $60 the sales tax on the meal is 7% and they also want to leave a 15% tip what is the total cost of the meal
Answer: $ 73.20
Step-by-step explanation:
60+(60*0.07)+(60*0.15)=73.2
Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 /(x2 + 3x − 4)
Step-by-step explanation:
The domain of a function is the range of x such that the function is defined.
Now we know the function
[tex]f(x) = \frac{1}{ {x}^{2} + 3x - 4 }[/tex]
is only defined when the denominator is not zero, in other words, when
[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]
or
[tex](x + 4)(x - 1) \neq0[/tex]
[tex]x \ne-4 [/tex]
and
[tex]x \neq +1[/tex]
Use the ÷10 pattern to fill in blanks 400 and 0.4
Answer:
400÷10=0.4
stay safe and healthy
How do I answer this?
Answer:
Step-by-step explanation:
43 + 39 + <1 = 180 Three angles make up a triangle of 180 degrees.
82 + <1 = 180 Subtract 82 from both sides
<1 = 98
<2 = <1 They are vertically opposite
<2 = 98
How can you rewrite simple rational expressions in different forms using long division?
(50 POINTS)PLEASE!!!!!
Is a measure of 24 inches "far away from a mean of 16 inches? As someone with knowledge of statistics, you answer it depends" and request the standard deviation of the underlying
data
(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 24 inches from 16 inches?
(b) Is 24 inches far away from a mean of 16 inches?
(c) Suppose the standard deviation of the underlying data is 5 inches. Is 24 inches far away from a mean of 16 inches?
(a) 24 inches is
standard deviation(s) away from 16 inches.
ne doimal olan
nondad)
Answer:
I really need points plsss
Step-by-step explanation:
Manuela bought 11/12 yard of polka dot fabric and 7/9 yard of flowered fabric which fabric did she buy more of
Answer:
She bought more polka dot fabric
Step-by-step explanation:
you can cross multiply so 9x11=99 and 12x7=84. Since 99>84, 11/12>7/9
−
2
5
y=
\,\,-11
−11
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a trapezoid is shown in the grid
Answer:
To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.
If Y=x-5 and 20y -5y=15 what is the value of X?
Answer:
X=6
Step-by-step explanation:
20 × 1 or y = 20
5 × 1 or y = 5
20 - 5 = 15
1 or y + 5 = 6
The product of 2 more than 5 times a number and 4 less than three times a number
Sorry I'm not sure if I'm right just my thinking...
set the number to be x so that (5x+2)(3x-4)??
The sum of ∠1,∠2 and ∠3 is _____________ sum of ∠3,∠4 and ∠5
Greater than
Lesser than
Equal to
Twice the
Answer:
twice the
Step-by-step explanation:
hope it helps you
4. If
A. 35
B.180
C.125
D.55
Answer:
C
Step-by-step explanation:
z=x as they are alternate angles and x=o as they are alternate exterior angles
Which of the following relations represents a function?
{ (-2, 1), (0, 5), (1, -3), (-2, 0)}
{ (-3, 1), (1, 4), (-2, 1), (0, 3)}
{(-1, 3) (-2, 3) (-1, 5) (-2, 5)}
{ (4, 2), (4, 3), (4, 5), (4, 7)}
Answer:
Option A because functions only point to 1 output.
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members
A set S has four members if there are six subsets of it, each with two members.
The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.
[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]
There are 6 subsets in this situation, each with 2 members.
So, [tex]^nC_2[/tex] = 6
Simplifying the equation:
n! / (2!(n-2)!) = 6
n(n-1) / (2 x 1) = 6
n(n-1) / 2 = 6
n(n-1) = 12
Expanding the equation:
[tex]n^2 - n = 12[/tex]
[tex]n^2 - n - 12 = 0[/tex]
Factoring the quadratic equation:
(n - 4)(n + 3) = 0
When all factors are set to zero and n is calculated:
n - 4 = 0 or n + 3 = 0
n = 4 or n = -3
Since n must be a positive integer.
So, n = 4 is the valid solution.
Thus, set S consists of 4 members.
Learn more about Combination here:
https://brainly.com/question/28720645
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one leg of a right triangle is 42 inches longer than the other leg, and the hypotenuse is 78 inches. find the lengths of the legs of the triangle
Answer:
use phythagoras formula of calculating right angles
a^2=b^2+c^2
42^2=b^2+78^2 (substitution + transposement)
b^2=72^2-42^2
b^2=3420 (introduce a square root both sides)
what you do on the left .you also do it on the right
b is the unknown side of the triangle
b=58.48 inched
The lengths of the legs of the right angle triangle is 30 inches and 72 inches.
What is a triangle?A triangle is a closed plane figure formed by joining three noncolinear points.
We know Pythagoras's theorem which states the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given one leg of a right-angle triangle is 42 inches longer than the other leg.
Assuming the smallest leg to be x inches.
∴ The other leg is (x + 42) inches also given hypotenuse is 78 inches.
∴ (x + 42)² + x² = 78².
x² + 84x + 1764 + x² = 6084.
2x² + 84x - 4320 = 0.
x² + 42x - 2160 = 0.
As length can not be negative value of x = 30 inches.
∴ The smaller leg is 30 inches and the larger leg is (30 + 42) = 72 inches.
learn more about triangles here :
https://brainly.com/question/2773823
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A music store sold 103 CDs and 102 CD players. If each CD costs $12
and each CD player costs $35, what was the store's total earnings?
$15,500
© $36,200
$24,500
0 $47.000
Answer:
$15,500
Step-by-step explanation:
It would help if you put the actual question in place
10³ CDs = 1000 at $12 each = $12000
+ 10² Players = 100 at $35 each = $ 3500
Total $15500
103(12) + 102(35) = $4806