Answers
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
Related Questions
which of the binomials below is a factor of this trinomial x2+6x-40
Answers
Answer:
x2 - 16x + 28 = (x - 2)(x - 14)
Step-by-step explanation:
Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answers
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
Please help! Thank you
Answers
Answer:
(a) 1:12
(b) 12:1
(c) 1:100
(d) 100:1
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
Answers
Answer:
(1,-4)
Step-by-step explanation:
We add 4 to the x-coordinate, so -3+4=1.
Please help. I don't understand anything.
Answers
Answer:
A
Step-by-step explanation:
The area of figure=Area of rectangle+Area of triangle
Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)
Area of figure=x^2-x-6+0.5*x^2+x
Area of figure=(3/2)x^2-6
Answer:
A, M(x)=3/2 (x^2-6)
Step-by-step explanation:
Let's calculate the area of the figure 1st,
Area of figure=Area of triangle+Area of rectangle
=1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)
=(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2
=3x^2-12/2=3/2(x^2-6)
In the options,
M(x)=3/2 (x^2-6) is given, so it best represents the area.
How much of salt would you get if you evaporate all water from:
375g of a 12% salt solution

Answers
Answer:
45g
Step-by-step explanation:
The amount of salt left once the whole water is evaporated can be calculated as follows
= 12% × 375
= 12/100 × 375
= 0.12×375
= 45
Hence 45g of salt is left after the evaporation of water
Answer:
45g
Step-by-step explanation:
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
Answers
Answer:
Arc KN = 201°
Step-by-step explanation:
Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.
Applying this to the problem given, we have:
m<L = ½(Arc KN - Arc KM)
m<L = 70° (given)
Arc KN = ?
Arc KM = 61°
Substitute
70° = ½(Arc KN - 61°)
2*70° = Arc KN - 61°
140° = Arc KN - 61°
140° + 61° = Arc KN
201° = Arc KN
Arc KN = 201°
I'LL GIVE BRAINLIEST !! FASTER
please provide explaination
Answers
Answer:
532
A
Step-by-step explanation:
A=86
B=180
C=94
D=266
now,
a+b+c+d_94
=86+180+94+266_94
=532
Number of subsets of B={p,q,r}
Answers
Answer:
Step-by-step explanation:
B = {p , q , r}
Number of subsets = [tex]2^{n}[/tex]
Her, n is the number of elements in the set.
Number of subsets = 2³ = 8
Answer:
Sorry I don't know the answer
Someone help pleasee
Answers
Answer:
Step-by-step explanation:
g(x) = 3f(-2x)
= 3*([-2x)² + (-2x) - 2)
= 3 (4x² - 2x - 2)
= 3 * (4x² - 4x +2x - 2) {Rewrite the middle term}
= 3 *[ 4x(x - 1) + 2(x - 1)]
= 3* [ (x -1) *(4x + 2)]
= 3(x - 1)(4x + 2)
x - 1 = 0 ; 4x + 2 = 0
x = 1 ; 4x = -2
x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Roots: x = 1 , (-1/2)
Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.
Answers
The Euler's formula relates the vertices, faces and the edges of a polyhedron.
The correct option is (e) [tex]V = 6[/tex] [tex]E = 10[/tex] [tex]F = 6[/tex] [tex]6- 10 + 6 = 2[/tex]
First, we count the number of faces. This is the flat parts of the shape.
The attached shape has 6 flat surfaces.
So:
[tex]F = 6[/tex]
Next, we count the number of edges. This is where two faces meet.
The attached shape has 10 edges;
So:
[tex]E = 10[/tex]
Lastly, we count the number of vertices. This is where two edges meet.
The attached shape has 6 vertices.
So:
[tex]V = 6[/tex]
Using Euler's formula, we have:
[tex]V - E + F = 2[/tex]
Substitute values for V, E and F
[tex]6- 10 + 6 = 2[/tex]
[tex]2 = 2[/tex]
Hence, the polyhedron has 6 vertices, 10 edges and 6 faces
Read more vertices, edges, and faces at:
https://brainly.com/question/23347978
Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º
What are the values of x and y
Answers
Answer:
x = 110
y = 15
Step-by-step explanation:
AB is parallel to CD
angle B and angle D are alternate and they are equal
106-2x = 3x-4
106 + 4 = 3x - 2x
110 = x
same goes for y
7y + 13 = 10y - 32
13 + 32 = 10y - 7y
45 = 3y divide both sides by 3
15 = y
x^{4} - 5x^(2) + 2x + 3 < 0
Answers
the Answer is irrational number
Determine the values of n and m so that the following system have infinite number of solutions
Answers
Answer:
n = 3
m = -1/2
Step-by-step explanation:
Multiply the second equation by 4
4(n - 2)x + y = 4(n + m) Y is now correct.
4(n - 2) = 4 Remove the brackets
4n - 8 = 4 Add 8 to both sides
4n = 8 + 4 Combine
4n = 12 Divide by 4
n = 3 x is now correct
4(n - 2) = 4
4(3 -2) = 4
4 = 4
Now you have to worry about m
4(n + m) = 10
n = 3
4(3 + m) = 10 Divide by 4
m + 3 = 10/4
m + 3 = 2.5 Subtract 3 from both sides.
m = 2.5 - 3
m = - 1/2
When the input is 1, what is the output of the function? That is, find the value of g(1).
Answers
Answer:
g(1) = 1
Step-by-step explanation:
In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).
The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).
the process of finding the indefinite integral. Give an example to provide emphasis.
Answers
Answer From Gauth Math
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0
Answers
Answer:
x
[tex]x \leqslant - y + 1[/tex]
Steps are show in the picture above.
Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barnyard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?
Answers
Using a system of equations, it is found that:
There are 8 chickens in the yard.There are 16 pigs in the yard.-----------------------------------------
This question is solved using a system of equations. I am going to say that:
x is the number of chickens.y is the number of pigs.-----------------------------------------
A chicken has 1 head, as do a pig.There are 24 heads.Thus:
[tex]x + y = 24 \rightarrow y = 24 - x[/tex]
-----------------------------------------
A chicken has 2 feet.A pig has 4 feet.In total, there are 80 feet.Thus:
[tex]2x + 4y = 80[/tex]
-----------------------------------------
Number of chicken:
Since [tex]y = 24 - x[/tex]
[tex]2x + 4y = 80[/tex]
[tex]2x + 4(24 - x) = 80[/tex]
[tex]2x + 96 - 4x = 80[/tex]
[tex]2x = 16[/tex]
[tex]x = \frac{16}{2}[/tex]
[tex]x = 8[/tex]
There are 8 chickens in the yard.
-----------------------------------------
Number of pigs:
[tex]y = 24 - x = 24 - 8 = 16[/tex]
There are 16 pigs in the yard.
A similar problem is given at https://brainly.com/question/24104709
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c
Answers
Answer:
x = (b-c)/a
Step-by-step explanation:
ax + b = c
Subtract b from each side
ax+b-b = c-b
ax = b-c
Divide by a
ax/a = (b-c)/a
x = (b-c)/a
Answer:
x= (C-B)A
Step-by-step explanation:
there are 7 socks in a bag 3 of those socks are blue what is the probability of picking a Blue sock randomly from the bag. Answer as simplified fraction of the form a/b
Answers
Answer:
3/7
Step-by-step explanation:
there are is a total of 7 socks and 3 are blue making blue socks be 3/7
When you subtract two positive integers is the result always a positive integer
Answers
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
What is 15+(-11) simpyfied
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
4
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
your answer will obviously be 4
A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of 2lb of salt/gallon is admitted into the tank at a rate of 6 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt
Answers
Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.
Salt flows into the tank at a rate of
(2 gal/min) (6 lb/gal) = 12 lb/min
and flows out at a rate of
(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min
so that the net rate at which salt is exchanged through the tank is
ds(t)/dt = 12 - s(t)/150 … (lb/min)
Solve for s(t). The DE is separable, so we have
ds/dt = 12 - s/150
150 ds/dt = 1800 - s
150/(1800 - s) ds = dt
Integrate both sides to get
-150 ln|1800 - s| = t + C
Solve for s :
ln|1800 - s| = -t/150 + C
1800 - s = exp(-t/150 + C )
1800 - s = C exp(-t/150)
s = 1800 - C exp(-t/150)
Now given that s(0) = 50, we solve for C :
50 = 1800 - C exp(-0/150)
50 = 1800 - C
C = 1750
Then the amount of salt in the tank at any time t ≥ 0 is
s(t) = 1800 - 1750 exp(-t/150)
To find the time it takes for the tank to hold 100 lb of salt, solve for t in
100 = 1800 - 1750 exp(-t/150)
1700 = 1750 exp(-t/150)
34/35 = exp(-t/150)
ln(34/35) = -t/150
t = -150 ln(34/35) ≈ 4.348
So it would take approximately 4.348 minutes.
By the way, we didn't have to solve for s(t), we could have instead stopped with
-150 ln|1800 - s| = t + C
Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so
-150 ln|1800 - 50| = 0 + C
C = -150 ln|1750|
==> t = 150 ln(1750) - 150 ln|1800 - s|
Then s(t) = 100 lb when
t = 150 ln(1750) - 150 ln(1700)
t = 150 ln(1750/1700)
t = 150 ln(35/34)
t ≈ 4.348
Find the volume of this sphere please help
Answers
Answer:
Volume = 108 ft³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
From the picture attached,
Radius of the sphere = 3 ft
By substituting the value of r in the expression,
Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]
= 36π
= 36×3
= 108 ft³
Help I don’t get this
Directions: Write rack of the following statements using a symbolic language.
2. A number is four times larger than the square of half the number.
3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.
4
The sum of a number squared and three less than twice the number is 129.
5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book
Answers
Answer:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answers
Answer:
Step-by-step explanation:
Find the slope of the line that passes through (7, 2) and (9, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
the slope is m=7/2
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
Find the distance between the two points!
PLEASE DO THIS ASAP!!
no links
Answers
Answer:
5
Step-by-step explanation:
The distance is given by sqrt((-3-0)^2+(-3-1)^2)=sqrt(9+16)=5
Answer:
I believe the distance equals 5
Step-by-step explanation:
Use the distance formula and plug in the numbers. Then solve.
Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.
could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.
don't need to follow back.
Answers
Answer:
we have to convert that question centimeters to meters
Step-by-step explanation:
I think all are going to be less as you change all of them.
will mark brainliest!!
picture included ^^^^
please and THANK YOU
^^!!
Answers
Answer:
shift the graph up 1 unit
Step-by-step explanation:
d is the vertical shift
+1 means we shift the graph up 1 unit
