if cos x = 2 sin x, so the value of sin x cos x is ...
Answer:
1/2
Step-by-step explanation:
As cosx= 2sinx,
now,
so, sinxcosx = sinx(2sinx) = 2 sin²x
Again,
2sin²x =1
sin²x= 1/2
sinx = 1/ root 2
sinx = sin 30
x = 30
How to graph -2,-2
does it just go vertical or horizontal?
Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture?
Answer:
45%
Step-by-step explanation:
200g milk chocolate
200g dark chocolate
= 400g of chocolate
x = the %
x/100 = 180/400
18000 = 400x
x = 45
45%
help please... the question is which statement would be the most important in explaining why 2/3 is = to 6/9.
Answer:
C. The shaded area represents both 2/3 and 6/9 of the whole shape.
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
I will give brainiest to whoever answers correctly !!
Answer:
275 days
Step-by-step explanation:
From August 21 to May 23, there is 275 days!
A vehicle travels 140 miles in 5 hours. At this rate, how many miles will the vehicle travel in 7 hours? please help I just failed my test I made a 38%
Answer:
28 mph
Step-by-step explanation:
I dont know if this helped but if it did then your welcome? I dont know if this helped sorry TwT
-8, 1, 10...
n
What is a formula for the ninth term of the given sequence
9514 1404 393
Answer:
a9 = -8 +9(9 -1)
Step-by-step explanation:
The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . first term a1, common difference d
For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...
an = -8 +9(n -1) . . . . formula for the n-th term
__
Then the formula for the 9th term is ...
a9 = -8 +9(9 -1)
Please help mee like pretty please
answer
The 3 lb bag of cat food would last for 4 weeks.
Step-by-step explanation:
Let p represent "He is able" and let q represent "He will win." Translate Translate p- into a verbal sentence.
Answer:
He will is able win
Step-by-step explanation:
Answer:
he is able to win
Step-by-step explanation:
Is 3/2 less than greater than equal than 1
Answer:
greater than
Step-by-step explanation:
2/2 = 1
3/2 = 1 1/2
If each quadrilateral is a rhombus, find the missing measure. Find M
Answer:
m<HGI= 8.32
Step-by-step explanation:
4x+3=7x-1
3=3x-1
4=3x
1.33=x
______________________
4*1.33+3=8.32
i dont know if this is true so mark me on that
i will get it wrong too if it is wrong.
The measure of angle HGI from the given rhombus is 35°.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
The given quadrilateral FGHI is a rhombus.
In a rhombus, diagonals bisect each other at right angles.
Here, (7x-1)°+(4x+3)°+90°=180°
11x+92=180
11x=88
x=8
Now, 4x+3=35°
So, m∠HGI=35° (Alternate interior angles)
Therefore, the measure of angle HGI is 35°.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
#SPJ2
y=2y+1/5 what does y equal
Answer:
the answer is
y - 2y = 1/5
-y = 1/5
y = -1/5
Answer:
y=-1/5 or y=-0.2
Step-by-step explanation:
y=2y+1/5
-1/5=2y-y
-1/5=y
y=-1/5
10 = 2j – 4
what does j =
Answer:
j=7
Step-by-step explanation:
10=2j-4 add 4 on both sides
10+4=2j
14=2j divide by 2 on both sides
7=j
Is this graph and example of sun or cos graph?
SOLVE FOR X, WILL GIVE BRAINLIEST
The two angles are supplementary angles and when added together equal 180 degrees.
3x -12 + x+2 = 180
Simplify:
4x -10 = 180
Add 10 to both sides
4x = 190
Divide both sides by 4
X = 190/4
X = 47.5
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
Spencer has a retirement account through his employer. His monthly contributions to the account are taken out of his check before payroll
taxes are calculated.
The fact that his employer sponsors his benefit package, and the contributions are______
account is a
indicates that Spencer's retirement account is a _____
1.tax exempt
Tax deferred
2.traditional ira
Roth ira
Traditional 401(k)
Roth 401(k)
If it's wrong ill come back to correct myself.
Answer
See image.
Step-by-step explanation:
The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent trucks plus an additional fee of $75.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
tons
What is the cost when the two companies charge the same?
$
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Answer:
16 pounds of sugar
The initial cost to transport it would be $4812
Okay
So lets do company 1=a
2=b
So the equation for company a is
3604+75.5x
The second one is
300.75x
Now I would find the LCM
So I just predicted (guess and check)
so obviously 15 can be a good shot but that off a little bit,
16
so if you plug in 16 for each options for X
3604+75.5*16= 4812
The second company
300.75*16=4812
SO their the same
So 4812 cost, 16 tons
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
the rate of change of sales tax on trousers is 10% one can buy a pair of trousers at$660. What is the marked price?
Step-by-step explanation:
Total price = Marked price + Sales tax
= Marked price + (0.1 * Marked price)
= 1.1 * Marked price.
Since the total price is $660, the marked price is $660 / 1.1 = $600.
You answer,I give brainleist
Answer:
48 centimeters by 27 centimeters
Step-by-step explanation:
we need the ratio of 16:9
option a) 48:27 ( divide by 3 each side) --> 16:9
Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Which equation is equivalent to 1/5x - 3 = 2/3
Answer:
x = 55/3
Step-by-step explanation:
1/5x - 3 = 2/3
You want to move the constant of 3 to the right side.
1/5x = 2/3 + 3
To combine 2/3 and 3, set a common denominator.
1/5x = 2/3 + 9/3
Add.
1/5x = 11/3
Divide by 1/5 or multiply by 5/1 to isolate x.
x = 11/3(5/1)
x = 55/3
Answer:
[tex] \frac{1}{5} x - 3 = \frac{2}{3} \\ \frac{1}{5} x = 3 + \frac{2}{3} \\ \frac{1}{5} x = \frac{11}{3} \\ \boxed{x = \frac{55}{3} }[/tex]
x= 55/3 is the right answer.
write the equation of a line that is parallel to x=-5 and that passes through the point (1,4)
Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.
2.1-10. suppose there are 3 defective items in a lot (collection) of 50 items. a sample of size 10 is taken at random and without replacement. let x denote the number of defective items in the sample. find the probability that the sample contains (a) exactly one defective item. (b) at most one defective item.
Answer:
a) 0.398 = 39.8% probability that the sample contains exactly one defective item.
b) 0.9021 = 90.21% probability that the sample contains at most one defective item.
Step-by-step explanation:
The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Suppose there are 3 defective items in a lot (collection) of 50 items
This means that [tex]k = 3, N = 50[/tex]
Sample of 10
This means that [tex]n = 10[/tex]
(a) exactly one defective item.
This is P(X = 1). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
0.398 = 39.8% probability that the sample contains exactly one defective item.
(b) at most one defective item.
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]
0.9021 = 90.21% probability that the sample contains at most one defective item.
I will give Brainiest to whoever answers correctly !!!
Answer:
6.69 grams
Step-by-step explanation:
12 * .4425 = 5.31
12 - 5.31 = 6.69