Answer:
a)
sin30=high of steps/175
sin30=1/2
so
high of steps= 175/2
high of steps=87.5cm
b)
cos30=wide/175
cos30=3^1/2÷2
wide=175*3^1/2÷2
3^1/2=1.73
so
wide=175*1.73/2
wide=151.37
How many five-digit odd numbers can be formed from the digits 1, 2, 3, 4,and 5 if no digit is repeated?
Answer:
10
Step-by-step explanation:
the answer is 10 because there are only two odd numbers in here and the best. Even so when you put that in two digit odd number then it'll just be interchangeable those four numbers that aren't at the end of
Answer:
72
Step-by-step explanation:
For a five-digit number to be odd it's one digit must be 1,3,5.
So there can be no repeats of any digits.
Let's look at numbers with one's digit being 1.
There are 4 ways to choose the tabs digit.
After that you can choose the hundreds digit 3 ways.
The thousands digit can then be chosen 2 ways.
Then finally the ten-thousands digit can be chosen 1 way.
4×3×2×1=24
24 odd numbers with one's digit being 1 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
That means there are 24 odd numbers with one's digit being 3 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
Also means there are 24 odd numbers with one's digit being 5 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
3(24)=72
The officers of a neighborhood association want to know whether residents are
interested in beautifying the neighborhood and, if so, how much money they are
willing to contribute toward the costs involved. The officers are considering two
methods for gathering data:
Method A:
Call and survey every tenth resident on the association's roster.
Method B:
Randomly select and survey 10 residents from among those who come
to the neighborhood block party.
a. Identify the population.
The population is the entire group of individuals that the neighborhood association wants to gather information about, in this case, the residents of the neighborhood.
The officers of a neighborhood association are interested in knowing if residents are willing to contribute towards beautifying the neighborhood and how much money they are willing to contribute. The officers are considering two methods for gathering data: Method A involves calling and surveying every tenth resident on the association's roster, while Method B involves randomly selecting and surveying 10 residents from among those who attend the neighborhood block party.
To properly design a survey, it is important to identify the population, which in this case is the entire neighborhood or community being served by the association. Identifying the population is necessary to ensure that the sample selected is representative of the population and can provide reliable results. The officers should also consider the potential biases associated with each sampling method and determine which one is more appropriate for their specific needs.
You can learn more about population at
https://brainly.com/question/29885712
#SPJ11
Help it’s urgent please
Answer:
\( \frac{5 {x}^{2} + 20xy + 20 {y}^{2} }{x ^{2} - xy - {6y}^{2} } \)
To simplify first factorize both the numerator and the denominator
For the numerator
5x² + 20xy + 20y²
Factor 5 out
5 ( x² + 4xy + 4y²)
Using a² + 2ab + b² = ( a + b)²
The numerator is
5( x + 2y)²
For the denominator
x² - xy - 6y²
Rewrite -xy as a difference
x² + 2xy - 3xy - 6y²
Factorize
We have the denominator as
( x + 2y)( x - 3y)
So we now have
\( \frac{5(x + 2y)(x + 2y)}{(x + 2y)(x - 3y)} \)Simplify
\( \frac{5(x + 2y)}{x - 3y} \)We have the final answer as
\( \frac{5x + 10y}{x - 3y} \)Hope this helps you
Consider a 1000 kg communication satellite that needs to be boosted from an orbit 260 km above the earth to a geosynchronous orbit 35,900 km above the earth. (Figure 1) Part A Find the velocity vi on the inner circular orbit. Express your answer to three significant figures and include the appropriate units. V = 7760 Submit Previous Answers Correct Part B Figure < 1 of 1 > Find the velocity v, at the low point on the elliptical orbit that spans the two circular orbits. Express your answer to four significant figures and include the appropriate units. Outer orbit i μΑ ? m Inner orbit v = 1.004.104 S. Submit Previous Answers Request Answer Transfer ellipse X Incorrect; Try Again; 5 attempts remaining Part C How much work must the rocket motor do to transfer the satellite from the circular orbit to the elliptical orbit? Express your answer to three significant figures and include the appropriate units. PO НА ? W = Value Units Submit Request Answer Part D Now find the velocity v, at the high point of the elliptical orbit. Express your answer to two significant figures and include the appropriate units. 0 μΑ . ? V Value Units Submit Request Answer Part E Now find the velocity v2 of the outer circular orbit. Express your answer to three significant figures and include the appropriate units. μΑ ? U2 = Value Units Submit Request Answer Part F How much work must the rocket motor do to transfer the satellite from the elliptical orbit to the outer circular orbit? Express your answer to three significant figures and include the appropriate units. LO μΑ ? W = Value Units Submit Request Answer Part G Compute the total work done. Express your answer to four significant figures and include the appropriate units. HA ? W = Value Units
To solve this problem, we need to use the concepts of orbital mechanics and gravitational potential energy.
Part A
The velocity of the satellite in the inner circular orbit is given by the equation:
v = sqrt(GM/r)
where G is the gravitational constant, M is the mass of the earth, and r is the radius of the orbit. Substituting the given values, we get:
v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m))
v = 7760 m/s
Part B
The velocity of the satellite at the low point of the elliptical orbit can be found using the equation:
v = sqrt(2GM/r1 - 2GM/r2)
where r1 and r2 are the radii of the inner and outer circular orbits, respectively. Substituting the given values, we get:
v = sqrt(2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))
v = 1.004 x 10^4 m/s
Part C
The work done by the rocket motor to transfer the satellite from the circular orbit to the elliptical orbit is given by the difference in gravitational potential energy between the two orbits. This can be calculated using the equation:
W = mgh = m * G * M/r
where m is the mass of the satellite, g is the acceleration due to gravity, h is the height of the orbit above the earth's surface, and r is the radius of the orbit. Substituting the given values, we get:
W = 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)
W = 3.80 x 10^9 J
Part D
The velocity of the satellite at the high point of the elliptical orbit can be found using the equation:
v = sqrt(GM/r1 + GM/r2)
Substituting the given values, we get:
v = sqrt(6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) + 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))
v = 2.24 x 10^4 m/s
Part E
The velocity of the satellite in the outer circular orbit can be found using the equation in Part A, with the radius of the orbit set to 35,900 km. This gives:
v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)) v = 2.74 x 10^3 m/s
Learn more about Gravitational potential energy at:
brainly.com/question/3120930
#SPJ4
Drag the point on the coordinate plane to the solution of the system of equations shown below: y=-2x-1 y = x + 2
Answer:
(1,-1)
Step-by-step explanation:
-2x-1 = x+2
-3x = 3
x = -1
substitute
y = (-1) + 2
y = 1
point: (1,-1)
A line has a slope of 1 and passes through the point (2, -17). What is its equation in
slope-intercept form?
Answer:
y = x - 19
Step-by-step explanation:
slope: 1/1x
(2,-17) Subtract by slope until x = 0, so you can get the y-intercept.
(1,-18)
(0,-19)
y - intercept: (0,-19)
Slope-intercept form: y = mx + b
y = x -19
$27.30 for 42 cookies
What is it as a unit rate?
Answer:
0.65
Step-by-step explanation:
so what you do is you take $27.30 and divide it by 42 and that will leave you with your answer of 0.65
Answer:
.65 cents
Step-by-step explanation:
27.30 divide by 42 equals .65 cents each
If f (x) is transformed by compressing the function vertically (making it wider) by a factor of, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
1/2f(x) +5-11
1/2f(x+5)-11
f(x+5)- 11
1/2f(x-5)-11
The new function after applying the sequence of transformation include: B. 1/2f(x + 5) - 11
What is a translation?In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x + N)
Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) - N
Since the parent function f(x) was translated 11 units downward, 5 units to the left, and vertically compressed (making it wider) by a factor of 1/2, the equation of the image g(x), we have:
g(x) = 1/2f(x + 5) - 11
Read more on function and translation here: brainly.com/question/31559256
#SPJ1
Complete Question:
If f(x) is transformed by compressing the function vertically (making it wider) by a factor of 1/2, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
3. For what values of
x is f(x)g(x) – show your answer on a number line?
4. For what values of
x is f(x)<2?
Answer:
f(x) is -1 and g(x) is 2 this is because f(x) intersect at -1 which is x axis and g(x) intersect 2 which is y axis
Solve the following equation for the variable x. Show your complete work (looking for exact steps not just the answer) 2+x+6-2+8= 24
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
pls help ASAP ILL GIVE BRAINLYEST
Four friends charge different amounts for babysitting.
Who charges the most per hour?
A. Claudia
B. Xavier
C. Ling
D. Alyssa
Xavier he charges $10 per hour so there is your answer so have a great day:)
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
The angle of a pentagon are x, x+10,x+20,x+30 and x+40 degree find all the angle of the pentagon
Answer:
59
Step-by-step explanation:
You have to add your numbers then subtract the last number you had.
Hope this doesn't help
A sequence is defined by the explicit formula an=3n+4. Which recursive formula represents the same sequence of numbers?
The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.
A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.
To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.
To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:
a1 = 3(1) + 4 = 7
Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.
Learn more about recursive formula here:
https://brainly.com/question/1470853
#SPJ11
The number 0 is an element of the set of natural numbers. OA. True B. False
Answer:
false
Step-by-step explanation:
0 is a whole number not natural
Natural Number can be classified as "Positive Integer" or "Counting Numbers". So think about it, In real life, we count from 1 right? We do not start from 0 for counting numbers.
So it's false.
Determine if triangle BCD and triangle EFG are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale. )
We can conclude that the triangles are similar, based on the Side-Angel-Side Theorem (SAS).
Hence, the answer is The third option.
Given the triangles EFG and BCD, you can identify that:
By definition, two triangles are similar if the lengths of the corresponding sides are in proportion and their corresponding angles are congruent.
In this case, you can identify that you know two pairs of corresponding sides. Then, you can find that they are in proportion. Set up that:
\(\frac{EF}{BC}=\frac{FG}{CD}\)
Substituting values and simplifying, you get:
\(\frac{18}{90}=\frac{16}{80}\\\\\frac{1}{5}=\frac{1}{5}\)
Notice that they are in proportion.
You can also identify that the corresponding angles F and I are congruent because they have equal measures.
Therefore, since you know that two sides are proportionate and the included angles are congruent, you can conclude that the triangles are similar, based on the Side-Angel-Side Theorem (SAS).
Hence, the answer is The third option.
learn more about Side-Angel-Side Theorem (SAS).
https://brainly.com/question/22995265
#SPJ4
a commercial kitchen uses 3/4 of a cup of milk every 4/6 of a minute. how many cups of milk are used per minute answer key
The amount of milk used per minute in a commercial kitchen that uses 3/4 of a cup of milk every 4/6 of a minute is 1/2 cup of milk.
How many cups of milk are used per minute?In a recipe or cooking, fractions are frequently used. We can use them to measure ingredients such as sugar, butter, milk, and other items. The numerator of the fraction refers to the number of parts that are utilized. The denominator, on the other hand, refers to the whole.
The fraction 3/4 can be defined in the following ways: 3 parts out of 4 parts,75 parts out of 100 parts,15 parts out of 20 parts,The fraction 4/6 can be reduced as:4/6 = (4 ÷ 2)/(6 ÷ 2) = 2/3Thus, the fraction 4/6 represents 2/3 or two parts out of three parts.
We can use proportions to figure out how many cups of milk are used per minute. To do that, we need to convert the given quantity of milk into a fraction that represents the amount of milk used per minute
The kitchen uses 3/4 of a cup of milk every 4/6 of a minute.=> The fraction that represents the amount of milk used per minute = [3/4 ÷ 4/6]=> Multiplying the numerator and denominator of the above fraction by 6, we get:[3/4 ÷ 4/6] = [3/4 × 6 ÷ 4/6 × 6] = [18/24 ÷ 24/24] = 18/24= 3/4 (Reduced Form)Therefore, 3/4 of a cup of milk is used per 4/6 of a minute, or 1/2 cup of milk per minute, if we simplify it further.
See more about fractions at: https://brainly.com/question/17220365
#SPJ11
The ordered pairs shown below represent a relation. (3, 2) (5, 1) (6, 0) (4, 4) (5,2) Which number is not in the domain of the relation?
a2
b3
c4
d5
Answer:
d) 5
Step-by-step explanation:
we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.
Given f(x)=3x−2, find f(−5).
Step-by-step explanation:
f(x)=3x-2
f(-5) means that x equals -5
All you would need to do is substitute -5 into the equation
3(-5) - 2
-15-2
-17
f(-5) is -17
Answer:
-17
Step-by-step explanation:
f(-5) means plug -5 for x
thus f(-5) = 3(-5) -2 = -17
please solve this problem using the foil method
\( {x}^{2} - 9\)
Answer:
This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).
Step-by-step explanation:
x^2-9=0
a= 1
b=0
c=-9
Factors of c (-9) that add up to make b (0): -3, 3
(x-3)(x+3)
we know: \(a^2-b^2=(a+b)(a-b)\)
So: \(x^{2} -9=x^{2} -3^2=(x+3)(x-3)\)
Ok done. Thank to me :>
eighteen is equal to the product of a number (n) and 9
eighteen is equal to the product of a number 9 and 9
there are 204 students at lliswerry high
the teacher put 15 chairs on each roll in the school
how many complete rows of chairs must a teacher put so that all the student can sit and how many empty chairs will remain
please help!!!!
will mark brainliest!!
4x-5
--------- =3
5
Answer the anser is 96
Step-by-step explanation:
Answer: 5
Step-by-step explanation
For this problem, we need to solve for x. So the first step is to multiply both sides of the equation by 5. Then we should add 5 and divide by 4.
4x-5=15
4x = 20
x = 5
draw a circle centered on (0,0). then draw a right triangle with one vertex at the origin of the circle and the hypotenuse as a radius of the circle. provide only 2 triangle side lengths with numerical values. label one corner of the triangle with (created from the hypotenuse to the x-axis). please create a unique problem, one not like that of your classmates. see images on page 420 for clarification. do this by wednesday at 11:59pm.
In circle centered on (0,0) and a right triangle with one vertex at the origin of the circle and the hypotenuse as a radius of the circle. By using Pythagorean theorem, the length of leg a is 4 units, and the length of leg b is 3 units. We can label corner A as (4,0) and corner C as (0,3).
Consider a circle centered at M (0,0) with a radius of 5 units. Let the hypotenuse of the right triangle be a radius of the circle. Let's say this hypotenuse is 5 units. Then, using the Pythagorean theorem, we can find the length of the other two sides:
a^2 + b^2 = c^2
where c is the hypotenuse (5 units), and a and b are the other two sides we want to find.
Let's say we want to label the corner of the triangle opposite to the hypotenuse as C, and the corners adjacent to the legs as A and B. Then we can set up the following:
Leg a runs from the origin (0,0) to corner A.
Leg b runs from corner A to corner C.
Hypotenuse c runs from the origin (0,0) to corner C.
Using the Pythagorean theorem, we can find the length of leg a as:
a^2 = c^2 - b^2
a^2 = 5^2 - b^2
a^2 = 25 - b^2
Assuming b = 3, we can find the length of leg a as:
a^2 = 25 - 3^2
a^2 = 16
a = 4
So, the length of leg a is 4 units, and the length of leg b is 3 units. We can label corner A as (4,0) and corner C as (0,3).
To know more about Pythagorean theorem:
https://brainly.com/question/14930619
#SPJ4
Lin says that a snack machine is like a function because it outputs an item for each code input.
Karla bought a student discount card The card cost $6 and allows her to buy each meal for $3 after one week Karla spent $15 how many meals did she buy ?
Answer:
3 meals
Step-by-step explanation:
The card costs $6, so we will subtract that from $15 because it is the starting amount. Karla can't buy these meals for $3 without $6. Anyways, 15-6 is 9. Each meal costs $3 so we'll then divide 9 by 3, which gives us our answer: she bought 3 meals.
Answer:
Karla bought 3 meals.
Step-by-step explanation:
6+3m=15
Subtract 6 both sides.
3m=9
Divide 3 both sides.
m=3
m=meals she bought
Mrs. Miller's statistics test scores are normally distributed
with a mean score of 85 (μ) and a standard deviation of 5 (σ).
Using the Empirical Rule, about 95% of the scores lie between which
two v
The range in which 95% of the scores lie is between 75 and 95.
According to the Empirical Rule: For a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% of the data falls within 2 standard deviations of the mean, and approximately 99.7% of the data falls within 3 standard deviations of the mean.
So, about 95% of the scores lie between 75 and 95. T
This is because the mean score is 85 and one standard deviation is 5, so one standard deviation below the mean is 80 (85-5) and one standard deviation above the mean is 90 (85+5).
Two standard deviations below the mean are 75 (85-2*5) and two standard deviations above the mean is 95 (85+2*5).
Therefore, the range in which 95% of the scores lie is between 75 and 95.
Know more about range here:
https://brainly.com/question/2264373
#SPJ11
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
The values in the table represent an exponential function. What is the
common ratio of the associated geometric sequence?
The common ratio of the associated geometric sequence 3, 15, 75, 375, 1875 ... is 5.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence shown in the table:
3, 15, 75, 375, 1875 ...
The sequence represents the geometric progression.
As we know,
The common ratio is the ratio of two successive terms:
Common ratio r = second term/first term
r = 15/3 = 75/15 = 5
Thus, the common ratio of the associated geometric sequence 3, 15, 75, 375, 1875 ... is 5.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1