Answer:
The required ratio is 1 : 3.
Step-by-step explanation:
Let the length is L, width is W and the height is H.
Volume of the prism is
V = LW H
Volume of the pyramid
V' = 1/3 L W H
Ratio of volume of pyramid to the prism is
[tex]\frac{V'}{V} = \frac{1}{3}[/tex]
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
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°
What is 15+(-11) simpyfied
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
will mark brainliest!!
picture included ^^^^
please and THANK YOU
^^!!
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
Determine the values of n and m so that the following system have infinite number of solutions
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
How much of salt would you get if you evaporate all water from:
375g of a 12% salt solution

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:
can someone solve this?
-5^4 x 4y^10 x -3y^-1
Answer:
[tex]7500 {y}^{9} [/tex]
Step-by-step explanation:
[tex] { - 5}^{4} \times {4y}^{10} \times { - 3y}^{ - 1} [/tex]
[tex] = 12 \times {5}^{4} {y}^{9} [/tex]
[tex] = 12 \times 625 {y}^{9} [/tex]
[tex] = 7500 {y}^{9} [/tex]
A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.20 meters per week. After 7 weeks, the sheet is only 2.42 meters thick. Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.
Answer:
Step-by-step explanation:
We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:
S(t)=-0.2t+4
we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:
S(7)=2.42
S(7)=-0.2*7+X
S(7)=-1.4+X
2.42=-1.4+X
X=3.82
So, the function is: S(t)=--0.2*t+3.82
Answer:
y = 3.8 - 0.2x
Step-by-step explanation:
Khan Academy
Please help!!!......
Answer:
12*12=144
8*10=80
80+144=224
224*2=448
10*4=40
8*10=80
80*2=160
40+160=200
12*10=120
120+200=320
20*10=200
320+200=520
448+520=968
Hope This Helps!!!
Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.
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
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
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
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
What would the equation, slope, and y-intercept be for this?
Answer:
y=-4x+1
Step-by-step explanation:
Equation: y=mx+b where m = slope and b= y intercept
TO find the slope, find the change in y over the change in x , or just to rise over run
From (-1,5) to (0,1), the y changes by -4 and the x changes by 1.
So the slope will be -4
To find the y intercept, find the point at which the line crosses the y-axis.
In this case, it is at (0, 1), so your y intercept will be 1
Plug all this info back into the equation and you get y=-4x+1
The y-intercept is 1 and that’s it sorry I can’t answer the rest.
Find the volume of this sphere please help
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
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
Answer:
(1,-4)
Step-by-step explanation:
We add 4 to the x-coordinate, so -3+4=1.
20 POINTS - 1 EASY QUESTION
You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?
Answer and explanation:
How are the two methods similar? They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for area of triangle 1/2×base of triangle×height of triangle.
How are they different? Using coordinate algebra in finding area of a triangle, you would have to measure coordinates(xy coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used a geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate area of triangle using the formula.
Why might coordinate algebra be important in making and using geometry software? A solid grasp of coordinate algebra allows you understand how the geometry software works because it makes use of same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.
Answer:
They all use the same formula for area of triangle 1/2 base of triangle height of triangle to identify the area of a triangle using the essentials of triangle geometry.To find the area of a triangle using coordinate algebra, you must configure way of measuring the triangle's coordinates like the x and y coordinates on the graph and afterwards find the y coordinates depending on the x coordinates. If you were using geometry software, it would immediately determine the area of the triangle by using formula based on your graph on the software.Because geometry software uses the same geometry basic concepts as coordinate algebra, having a proper understanding of coordinate algebra makes it simpler to improve.
Step-by-step explanation: im sorry if this doesn't help or if its incorrect more than welcomed to add some stuff to it!
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
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
PLEASE HELP I GIVE BRAINLIEST!! Find the value of x
Answer: x = 24
Step-by-step explanation:
There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.
We add 94 and 41 together, and this gives us 135.
Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.
This gives us 45, and now we can calculate for x using the same method we used above.
111 + 45 = 156
180 - 156 = 24
Thus, x is equal to 24 degrees.
Find the distance between the two points!
PLEASE DO THIS ASAP!!
no links
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.
PLEASE HELP! Find the accumulated value of an investment of $17,000 at 6% compounded annually for 13 years. (Please show work tho)
9514 1404 393
Answer:
$36,259.78
Step-by-step explanation:
The formula for compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years compounded n times per year.
Here, you have P = 17000, r = 0.06, n = 1, t = 13.
A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78
The accumulated value after 13 years is $36,259.78.
I need help with this please.
Answer:
C.
Step-by-step explanation:
Explain the relationship between an inda vidual and a society
Answer:
The relation between individual and society is very close. Essentially, “society” is the regularities, customs and ground rules of antihuman behavior. ... Man is biologically and psychologically equipped to live in groups, in society. Society has become an essential condition for human life to arise and to continue.
which of the binomials below is a factor of this trinomial x2+6x-40
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.
In the parallelogram below,
z = [ ? ]°
124°
2z+16°
Helpp!
2z+16+124=180
2z=180-16-124
2z=40
z=40/2
Z=20°
I hope I helped you ^_^
1/a+b + 1/a-b +2b/a^2-b^2 simplify
Answer:
[tex]\frac{2}{a-b}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] + [tex]\frac{2b}{a^2-b^2}[/tex] ← a² - b² is a difference of squares
= [tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] = [tex]\frac{2b}{(a-b)(a+b)}[/tex] ← LCD is (a - b)(a+b)
= [tex]\frac{a-b+a+b+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2a+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2(a+b)}{(a-b)(a+b)}[/tex] ← cancel common factor (a + b) on numerator/ denominator
= [tex]\frac{2}{a-b}[/tex]
4log10 2 − log10 48 + log10 300
Answer:
hello,
answer 2
Step-by-step explanation:
[tex]I\ note\ Log\ ,log_{10}\\\\4*Log(2)-Log(48)+Log(300)\\\\=4*Log(2)-Log(3*2^4)+Log(3*100)\\\\=4Log(2)-Log(3)-4Log(2)+Log(3)+2*Log(10)\\\\=2*1\\\\=2\\[/tex]
Answer:
the answer is easy
number 2 is the answer for this question
In a sequence, the first term is 6 and the common difference is 4. The thirtieth (30th) term of
this sequence is
1) 118
2) 122
3) 1261
4) 130
pls help meee lookat the screenshot
The diagram shows that the total number of buttons with ¾ inch length is 3.
So, if she lines all the ¾ inches buttons, then the total length will be
= ¾ inches × 3
= 9/4 inches
= 2 ¼ inches
Multiply 3/4 by 3
3/4 * 3/1
3/4 * 12/4 = 36/16
36/16 = 9/4
Answer: 2 1/4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
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
the sum of 5 times a number and 8 is equal to 9
Answer:
The unknown number is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Let's make the unknown number x.
The sum of 5 TIMES a number (x) & 8 is 9.
Let's write it mathematically.
5x + 8 =9
We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.
5x=1
5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.
x= [tex]\frac{1}{5}[/tex]
