Answer: pi/3 radians
Step-by-step explanation:
0= arc length/radius
0= pi/3 radians
Which two consecutive integers does −[tex]\sqrt{155}[/tex] lie between?
A) 11 and 12
B) 12 and 13
C) −11 and −12
D) −12 and −13
Place the indicated product in the proper location on the grid.
(ab - 9)(ab + 8)
Answer:
(2b)
Step-by-step explanation:
A rectangular, above-ground swimming
pool is 18 feet long, 9 feet wide, and 54
inches deep. One cubic foot of water weighs
about 62.4 pounds. What is the total weight
of the water in the pool when it is
completely full?
A. 158 lbs
B. 729 lbs
C. 8.748 lbs
D. 45,489.6 lbs
what is the solution of this system of linear equations? y=2x-3 2x=y-3
a. infinitely many solutions
b. (0, -3)
c. (0,0)
d. no solution
Answer:
d. no solution
Step-by-step explanation:
y=2x-3
2x=y-3
y=2x+3
Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution
Answer:
No solution :)
Step-by-step explanation:
Find the 66th term in the following
arithmetic sequence :
--92, -85, -78, -71, ...
Answer:
363
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus
[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363
Answer:
363.
Step-by-step explanation:
We see that each term increases by 7.
This is an arithmetic sequence with first term (a1) = -92 and the common difference (d) is 7.
an = a1 + (n - 1)d
a66 = -92 + (66 - 1)7
= -92 + 455
= 363.
The graph of f(x) = (xl is reflected across the y-axis and
translated to the left 5 units. Which statement about the
domain and range of each function is correct?
Answer:
The range is different. (Last option)
Step-by-step explanation:
Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.
After a picnic, 5/12 of the cornbread is left over. Val eats 4/5 of the leftover cornbread. What fraction of the cornbread does Val eat? Enter your answer in simplest form.
Answer:
5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right
Step-by-step explanation:
4/5= 48/60
5/12 = 25/60
25/60-48/60= -23/60
help me fill in the blanks pleasee
Answers and Step-by-step explanations:
Let's look at the first row:
cost = _______ + _______ * (monthly payment)
The first blank should be the "down payment" because this is the initial, constant value that is paid. The second blank should be the "number of months" because this way, when multiplied by the actual amount each payment is (monthly payment), then we get the total amount paid during those months.
So, we have:
cost = (down payment) + (number of months) * (monthly payment)
Now for the second row, we just plug in numbers and variables:
335 = 50 + 6 * p
Finally, we can solve for p:
335 = 50 + 6p
6p = 285
p = $47.50
Answer:
Cost = down payment + no. of monthly payments × monthly payment
335 = 50 + 6 × p
285 = 6p
p = 47.5
Find the mean, median, mode, and range of the data:
{17, 2, 16, 3, 13,5,7,8,9, 11, 5, 2, 1,20}
Answer:
median:8 mean:199 that is all i know i might be wrong
Step-by-step explanation:
simplify the expression
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G
So the right answer is of option G.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
HELP QUICK!! 25 POINTS AND BRAINLIEST!!! In circle V, r = 18 in.
What is the area of circle V?
a. 64
b. 36
c. 72
d. 324
There are only about 400,000 African elephants left in the world today. They are
classified as endangered by the International Union for Conservation of Nature, and
the population continues to decrease by 9% per year. What will the population of
African elephants be in fifty years?
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
Write a problem that could be modeled with y=200(0.9).
First, I need to decide what equation this is like.
I believe this is y=mx.
We know that x is typically the input, and m is the constant function.
Y is the output.
So the original function may have been y=200x.
The only difference is now we've been given something to apply to the equation, in place of x.
2. Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is.
Y would be the result of 3 copies and their originals, or 2(3).
(6=2(3))
Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.
The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.
3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.
A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.
4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.
5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.
Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?
Let me know if this helped, or if you have any questions!
Triangle XYZ is a right triangle.
Use the drop downs to determine the length of the legs of the right triangle.
What is the length of Side X Z?
What is the length of Size Y Z?
Answer:
What is the length of Side X Z?
✔ 5
What is the length of Size Y Z?
✔ 6
The length of side XZ is 5 units.
The length of side YZ is 6 units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the length of side XZ, we can use the distance formula, which is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:
[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]
The length of side XZ is 5 units.
To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):
[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]
The length of side YZ is 6 units.
Thus,
The length of side XZ is 5 units.
The length of side YZ is 6 units.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ3
Find the product of the integers:
2(-4)=
Answer:
-8
a positive number multiplied or divided by a negative number will always = a negative number.
Here is the math question.
Answer:
X = 6
Step-by-step explanation:
Look at the attachment
Using the image below to answer the question. Using the segment addition postulate find the value of X
The value of x is 13. Therefore, option B is the correct answer.
Given that, EF=7x+9, FG=3x+4 and EG=143.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.
Now, EG=EF+FG
⇒143=7x+9+3x+4
⇒10x+13=143
⇒10x=130
⇒x=13
The value of x is 13. Therefore, option B is the correct answer.
To learn more about the line segment visit:
https://brainly.com/question/25727583.
#SPJ2
help me please asap
Answer:
[tex]-\dfrac{11}{12}[/tex]
Step-by-step explanation:
[tex]\dfrac{\frac{5}{8}+\frac{3}{4}}{\frac{-2}{3}-\frac{5}{6}}[/tex]
Find common denominators:
[tex]\dfrac{\frac{5}{8}+\frac{6}{8}}{\frac{-4}{6}-\frac{5}{6}}=[/tex]
[tex]\dfrac{\frac{11}{8}}{\frac{-9}{6}}=[/tex]
[tex]\dfrac{11}{8}\cdot -\dfrac{2}{3}=-\dfrac{11}{12}[/tex]
Hope this helps!
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
can someone please help me, 20 points!!!
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
For more information, refer to the link given below
https://brainly.com/question/2773823?referrer=searchResults
Find the area. Will mark brainliest.
Answer:
54 in^2
Step-by-step explanation:
9*12/2=54 in^2
Answer:
54
Step-by-step explanation:
The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.
hope this helps:)
‘‘3 more than the product of 7 and a number x is less than 24’’.
Write an inequality for the statement above . find the solution for x.
Answer:
the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
A demand ___ is a graphic representation of the law of demand
a. schedule
b. curve
c. projection
d. model
Answer:
I think it is b. Curve
Step-by-step explanation:
Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
"yes" the triangles are similar
the scale factor going from triangle PQR to triangle ZYK is "2"
Step-by-step explanation:
i just did it :3 good luck!
Answer:
"yes" and "2"
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
Solve for b.
b + 0.6 = -1
What is the answer ?
A. b = -1.6
B. b = -0.4
C. b = 0.4
D. b = 1.6
The rule T5, -0.5 oR 0, 180(x,y) is applied to triangle FGH to produce triangle F’G’H’. What are the coordinates of vertex F’ of triangle F’G’H’?
Answer:
Step-by-step explanation:
Rule for the transformations has been given as,
[tex]T_{(5, -0.05)o\text{R}(0, 180)}(x,y)[/tex] defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.
In other words,
Rule for translation:
F(x, y) → F"(x + 5, y - 0.5)
Followed by the rotation of 180° about the origin,
Rule of rotation,
F"(x', y') → F'(-x, -y)
Following these rules coordinates of the new triangle F'G'H' can be obtained.