Answer:
Answer is -6t
Step-by-step explanation:
[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]
Note that π is 180°
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
what is 2/3 divided by -1 1/3
PLEASE HELP!!
Complete the equation.
(13)^2 (13)^-14 (13)^5 = 13 [ ]a0
Answer:
(13)^2 (13)^-14 (13)^5
=2197
Answer:
13^3
Step-by-step explanation:
-4+2+5=3
is it . that or something else ??
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).
Answer:
A=pq/2
=4.25·4.25/2
=9.03125
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
Step-by-step explanation:
Diagonal of rhombus bisect each other.
d₁ = AC = 4.25*2 = 8.5 cm
d₂ = 8.5 {Given diagonals are equal}
Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]
[tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]
what does range mean in maths
in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?
Answer
28,800$
Step-by-step explanation:
480 x 4 = 1920 x 3 = 5760 x 5 = 28800
Pls help me , idk how to do
Answer:
PQRS is a parallelogram with right-angle corners
Step-by-step explanation:
We know that the midsegment of a triangle is parallel to the base.
QR is the midsegment of triangle BCD, so is parallel to BD.
SP is the midsegment of triangle DAB, so is parallel to BD.
QR and SP are both parallel to BD, so are parallel to each other.
RS is the midsegment of triangle CAD, so is parallel to AC.
PQ is the midsegment of triangle ABC, so is parallel to AC.
RS and PQ are both parallel to AC, so are parallel to each other.
__
We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.
__
By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.
_____
* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.
Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution
Answer:
A triangle with angles:
"45°, 45°, 90°"
Is a triangle rectangle, with two catheti of equal length.
Now, there is a lot of problems that you can solve with this:
"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"
Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)
And because the catheti are equal, then the angles are 45°, 45° and 90°.
Please help me to solve this question
Answer:
x = 64°, y = 32°
Step-by-step explanation:
The sum of the angles on a straight line = 180° , then angles on PS are
2x + y + 20 = 180 ( subtract 20 from both sides )
2x + y = 160 → (1)
Angles on QT are
x + 3y + 20 = 180 ( subtract 20 from both sides )
x + 3y = 160 → (2)
Solve (1) and (2) simultaneously
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides
y = 160 - 2x → (3)
Substitute y = 160 - 2x into (2)
x + 3(160 - 2x) = 160 ← distribute and simplify left side
x + 480 - 6x = 160
- 5x + 480 = 160 ( subtract 480 from both sides )
- 5x = - 320 ( divide both sides by - 5 )
x = 64
Substitute x = 64 into (3)
y = 160 - 2(64) = 160 - 128 = 32
Then
x = 64°, y = 32°
The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm
find the slope that passes through the points : (-2, 5) & (-7,8)
Answer:
-3/5
Step-by-step explanation:
We can find the slope using the slope formula
m= ( y2-y1)/(x2-x1)
= ( 8-5)/(-7 - -2)
= (8-5)/(-7+2)
= 3/-5
- 3/5
If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .
Answer:
6500 rupees
Step-by-step explanation:
We are given a rectangular garden is the dimensions of:
Length = 400 m
Breadth = 150 m
Perimeter of a rectangle = 2(L + B)
= 2(400 + 150)
= 2(650)
= 1300m
We are told that the cost of fencing a rectangular garden per meter is rupees 5
1 m = 5 rupees
1300m =
Hence, the cost to fence the entire garden = 1300 × 5 rupees
= 6500rupees
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
change 7/8 as a fraction in simplest form
Answer:
It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.
A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.
Work Shown:
1 pound = 16 ounces
100/16 = 6.25
100 ounces = 6.25 pounds
100 ounces = 6 pounds + 0.25 pounds
-------
1 pound = 16 ounces
0.25*1 pound = 0.25*16 ounces
0.25 pounds = 4 ounces
------
100 ounces = 6 pounds + 0.25 pounds
100 ounces = 6 pounds + 4 ounces
100 ounces = 6 pounds, 4 ounces
Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.
Step-by-step explanation:
According to Geometric Progression :
[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]
a(nth) = nth term of the G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.
Now,
[tex]24 = 3 \times {r}^{4 - 1} [/tex]
[tex]r = 2[/tex]
The G.P. Is 3, 6, 12, 24.
Thus, p = 6 and q = 12
the function y = a / x is given Which function will be obtained if the point P (-2,3) belongs to the graph of the given function
Answer:
The function is y = -6 / x.
Step-by-step explanation:
Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:
3 = a / (-2)
3 * (-2) = a / (-2) * (-2)
-6 = a so the function is y = -6 / x.
PLEASE ANSWER QUICKLY ASAP
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope / gradient
c is the y intercept
a).y = 3x + 7
Comparing this equation with the general form above
Gradient of the line = 3
b).2y - 6x = 8
Divide both sides by 2
We have
y - 3x = 8
To make y the subject move 3x to the right side of the equation
That's
y = 3x + 8
Comparing with the general form above that's y = mx + c
The gradient = 3
c).y = 3x + 7
A(2 , y ) , B( x , 4)
Since they lie on the line we can substitute their values into the equation to find the missing points
For A(2 ,y)
We have
y = 3(2) + 7
y = 6 + 7
y = 13For B( x , 4)
4 = 3x + 7
3x = 4 - 7
3x = - 3
Divide both sides by 3
x = - 1Hope this helps you
2. The fraction 84 by 98 in simplest form is
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
Draw graph x + y = 7 and x - y = 2 on the same graph
Graphed in attached file and drawn!
Answer:
see attachment
Step-by-step explanation:
Which item is more economical?
Answer:
what are the items
Step-by-step explanation:
-19+[27-{14+(5-2)×4÷2
EXAMPLE QUESTION+ANSWER;-
16 - [5 - 2 { 14 of 2 - (8/4 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (2 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (4 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (3 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - 6} ]
= 16 - [5 - 2 { 28 - 6} ]
= 16 - [5 - 2 {22} ]
= 16 - [5 - 44]
= 16 + 30
= 55
Answer: 55
What is the value of the rational expression below when x is equal to 3?
12 - x/X-6
A. 3
B. -3
C. 9
D. -9
The net of a rectangular prism is shown below. What is the total surface area of this prism
Answer:
142 cm^2
Step-by-step explanation:
Okay, we can first break this down into 3 different rectangles.
3 x 5 rectangle
16 x 7 rectangle
3 x 5 rectangle.
From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2
Answer:
142 cm²
Explanation:
to find the surface area, you need to find the area of all of the boxes within the image above add them all together.
Starting in the middle row and working from left to right it is,
7×3+7×5+7×3+7×5
21+35+21+35=112
Than the bottom and top box is
3×5+5×3
15+15=30
Than you add both of them together,
112+30=142
What are the answers to the following.
Answer:
Step-by-step explanation:
[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]
[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]
can u explain and answer this question for me thanks
Answer:
f(x)= x-6
g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x
g(x) × f(x)
=(x√x + 3√x) (x-6)
= x²√x -6x√x + 3x√x - 18√x
= x²√x -3x√x - 18 √x
= x^5/2 - 3x^3/2 - 18^1/2
= √x^5 - 3√x^3 - √18 (B)
Note:
√x = x^1/2
x √x = x^1 × √x= x^1+1/2= x^3/2
x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2
I hope this helps
if u have question let me know in comments ^_^
56 is less than the square of 10
When you subtract two positive integers is the result always a positive integer
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
Two-Step Column Proofs.