Answer:
400
The ladder is the hypotenuse of a right triangle. The 2 feet from the wall on the ground is one side, the distance up the wall is another side.
In a right triangle, the square of the hypotenuse is the sum of the squares of the other two sides. This is called the Pythagorean Theorem. In equation form:
c^2 = a^2 + b^2
Substitute the known values:
20^2 = 2^2 + b^2
Square the numbers:
400 = 4 + b^2
Subtract 4 from both sides:
b^2 = 400 - 4 = 396
Take the square root:
b = sqrt(396) = 19.9 (rounded) feet
Check:
20^2 ?= 2^2 + 19.9^2
400 ?= 4 + 396.01
400 ?= 400.01 (off just a bit due to rounding)
what is
[tex]2 \frac{1}{2} \div \frac{1}{3} [/tex]
need help ?
Answer:
16/5
Step-by-step explanation:
Answer:
The answer is 15/2 and the simplified answer is 7 1/2.
Step-by-step explanation:
To turn 2 1/2 into a normal fraction you need to multiply 2 and 2 ao it will be 2x2 and then you add the 1 which gets you 5.You keep the denominator and the fraction is now 5/2.Dividing fractions is the same as multiplying fractions so all you have to do is flip 1/3 and now it us 3/1 then you turn the division symbol into a multiplication symbol and multiply both numbers.5x3 = 15 and 2x1 = 2 so now you have 15/2 and if you wanted to simplyfy it you need to see how many times 2 can go into 15.2 can go into 15 7 times because 2 x 7 = 15 and if we multiply 2 x 8 it will be 16 which would be too much.We have 1 number left over since we were 1 number behind so we put 1 as our numerator and keep 2 as out denominator so now we have 7 1/2.
A study has shown that the daily amount of milk produced by a dairy cow is
normally distributed, with a mean of 6.2 gallons and a standard deviation of
0.7 gallons. On a given day, 95% of the cows will produce an amount of milk
within which of the following ranges?
A. 5.5 gallons to 6.9 gallons
B. 4.8 gallons to 7.6 gallons
O
C. 4.1 gallons to 8.3 gallons
O D. 3.4 gallons to 9.0 gallons
SUBMIT
The range of milk production that 95% of the cows will fall within is option B: 4.8 gallons to 7.6 gallons.
To find the range of daily milk production that 95% of the cows will fall within, we can use the empirical rule, which states that for a normal distribution:
About 68% of the observations fall within one standard deviation of the mean.
About 95% of the observations fall within two standard deviations of the mean.
About 99.7% of the observations fall within three standard deviations of the mean.
Since we are looking for the range of milk production that 95% of the cows will fall within, we need to find the range that is within two standard deviations of the mean. That range is:
Mean ± 2SD
= 6.2 ± 20.7
= 6.2 ± 1.4
= [4.8, 7.6]
To learn more about the standard deviation;
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Which expression represents 5-3(-4n + 2) + 8n in simplest form?
Answer:
20n-1
Step-by-step explanation:
you really just multiply and get the like terms yk
find the missing angle
50 points
Answer:
i believe it is 73 degrees
Step-by-step explanation:
Answer:
73°
Step-by-step explanation:
All interior angles of a triangle add up to 180°
We are given the angle measure of 17°. Since the triangle is a right triangle, it's safe to assume that the second angle is 90°.
90 + 17 = 107
180 - 107 = 73
The third angle should be 73°. Hope this helps!
Luis takes advantage of a local movie theaters option to have subscription based admission.Luis pays a monthly fee every month and can see as many movies as he would like.Examine the graph shown below.
Enter the total amount of money Luis will have spent after 8 months of subscribing to this service?
Answer:
The answer is 60 dollars, that's what I got
what is the value of p so that the expession 6x+3-(8x-5) is equivalent to (px+8)?
Answer:
-2
Step-by-step explanation:
The first equation simplifies to -2x+8 so p should be replaced with -2
The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, 6x+3-(8x-5)
another expression, (px+8)
Value of p for which both the expressions are equivalent = ?
So now, we can compare both the expressions
⇒ 6x+3-(8x-5)
⇒ 6x+3-8x+5
⇒ -2x+8
if compare it with (px+8)
then, p = -2
Hence, the values of p is -2
To know more about Expressions check:
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The diagram below models the length from the center of a wind turbine to the tip of one
of it's blades
blade
The turbine travels 74x feet in one rotation. What is the length of the blade, or radius of
the circle formed by the turbine?
37 feet
18.5 feet
23.57 feet
74 feet
Answer:
i need help too
Step-by-step explanation:
Ms. Rios mowed
2
7
of her lawn. Her son mowed
1
4
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
(little sister needs answer)
Answer: I believe Ms. Rios mowed more, hope this helps!
ASAP!!!!
Find the point of intersection of the two lines
x=4 - y and x=3
Answer:
the answer would be (3,1) :))
Step-by-step explanation:
Hope this helps :)) Plz mark brainliest :))
X+6-6x+10
(Combining like terms)
Answer:
Step-by-step explanation:
so you can always put a 1 infront of a stand alone x making 1x + 6 - 6x + 10
i also like to do a little trick were you can change the subtraction sign to an addition if you make what you subtraction negitive
so we have 1x + 6 + -6x + 10
we can add 6 and 10 and 1x and -6x make an end result of
-5x + 16
(or the other way since it is addition)
Which is equivalent to 216 Superscript one-third?
3
6
36
72
Answer:
I think is 6
hope this answer be right
Answer:
6
Step-by-step explanation:
Which of these describes the equation –18x + 9y = –416?
A
The equation is not linear because it has 2 variables, not 1.
B
The equation is not linear because it is not in the form y = mx + b.
С
The equation is linear because it has variables with exponents of 0.
D
The equation is linear because it can be rewritten in the form y = mx + b.
Answer:
We conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept
Important Tip:
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
[tex]18x + 9y = -416[/tex]
subtract 18x from both sides
[tex]18x+9y-18x = - 18x-416[/tex]
simplify
[tex]9y = -18x - 416[/tex]
divide both sides by 9
[tex]y=-2x-\frac{416}{9}[/tex]
Now, comparing the equation [tex]y=-2x-\frac{416}{9}[/tex] with a slop-intercept form of linear equation
The slope m = -2The y-intercept b = -416/9Therefore, we conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].
From the attached graph, is also clear that the graph of the equation [tex]y=-2x-\frac{416}{9}[/tex] is a straight line.
Hence, option D is correct.
Answer:D
Step-by-step explanation:
6x -4+2(5x+2)=16x
help plz
answer is 44
Step-by-step explanation:
6×4+2(5×2) or 2(3×4+5×2
one factor: 2×2(3×2+5
solution: 2×2(3×2+5
plzzz help me plz Show how to find the x-intercepts of this parabola using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.
y = -10x2 + 8x + 24
Answer:
x = -6/5 and x = 2
Step-by-step explanation:
y = -10x² + 8x + 24
0 = -2(5x+6)(x-2)
5x+6 = 0 x-2 = 0
5x = -6 x = 2
x = -6/5
18 = 3(3x - 6)
Please answer with solving steps thanks!
Answer:
jayfeather friend me
Step-by-step explanation:
1
8
=
3
(
3
−
6
)
1
8
=
9
−
1
8
2
Add
1
8
18
18
to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Solution
=
4
what is figure formed by two rays that originate from the same point?
A. angle
B. Parallel line
C. Perpendicular lines
D. line segment
Can you answer number 6 please
Answer:
No, the triangles are not similar.
Step-by-step explanation:
For ΔNOP, since all triangles' angles equal 180°, to find the missing angle you subtract the given angles from 180
180-70=110, 110-58=52 ∠N = 52°
since ΔQRS does not have any angle measures of 58° or 52°, the triangles are not similar becasue similar triangles have congruent angles.
What is the answer plz help
Answer:
9 cm
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Describe the translation needed to obtain the graph of g(x)=6^x-9 from the graph of f(x)=6^x.
Answer:
Step-by-step explanation:
I am not sure if you wanted to ask this
f(x) = 6^x becomes g(x)= (6^x ) -9 so it went DOWN 9 units
or this
f(x) = 6^x becomes g(x)= 6^(x -9) so it went RIGHT 9 units
It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs ( in dollars) of a membership
Answer:
[tex]y= 35+15x[/tex]
Step-by-step explanation:
Given data
It costs $35 for a membership
Monthly fee is $15
Let the number of months be x
and the total cost for x months be y
Hence the expression for the cost after x months is given as:
[tex]y= 35+15x[/tex]
Type your response in the box.
Solve the equation x^2 – 5 = √ x – 2 by using successive approximation-
9514 1404 393
Answer:
x ≈ 2.367796
Step-by-step explanation:
There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.
__
One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.
Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.
Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.
__
We assume you want the solution to ...
x^2 -5 = √(x -2)
This is conveniently reformulated to ...
x^2 -5 -√(x -2) = 0
so that we're seeking a zero of the function on the left.
The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.
Our final guess at x is ...
x ≈ 2.367796 . . . . secant method
which gives an error less than 10^-5 between the left- and right-sides of the equation.
_____
Additional comments
At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.
Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.
3-x>2 or 4x+2> 10 what is the graph of the solution to the following compound inequality
Answer:
x<1 is the answer
Step-by-step explanation:
3-x>2
-x>2-3
-x>-1
One rabbit eats 8 carrots every day.
How many carrots does a rabbit eat in 7 days?
Answer:
56 carrots
Step-by-step explanation:
Because 7 x 8 is 56
A B C D Which triangles are similar?
Answer:
DBA ok you got that maybe
What is 312\245 simplified?
Answer:
127/100
Step-by-step explanation:
PLEASE HELP. I need this as soon as possible!!! I will give brainiest and lots of points.
A number is at most 0 and greater than −10
The least possible integer value of this number is negative 9
The greatest possible integer value of this number is.
Answer:
Greatest possible integer value is 0
Step-by-step explanation:
idek i did it in my head
Please help, and i will mark you BRAINLIEST
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)? *
s + 1 1/2 = 6 1/3
6 1/3 - s = 1 1/2
s - 1 1/2 = 6 1/3
1 1/2 + s = 6 1/3
Answer: 4 5/6
Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)
If you were to measure the length of a typical driveway, which unit would make most sense to measure it in?
Answer:
Feet
Step-by-step explanation:
The unit that makes the most sense is feet. Inches are too small and miles are too long, yards are not that common in building feet is the standard unit.
Dara's computer monitor is 20 inches wide and 12 inches high. Which measurement is closest to the length of the diagonal of Dara's monitor?
A) 15 inches
B) 16 inches
C) 23 inches
D) 32 inches
Answer:
C) 23
Step-by-step explanation:
If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.
Let a = the width, let b= the height, let c = the diagonal.
a^2 + b^2 = c^2
20^2 +12^2 =c^2
400 + 144 = c^2
544 = c^2
C is approximately equal to 23 inches.
Let me know if this helps!
Solve for x
-4 + x _< 9
Answer:
Step-by-step explanation:
what is the underscore for?
Answer:
your answer should be x < 13
Step-by-step explanation:
Hope this helps and have a nice day :)
