Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + [tex](\frac{6}{12} )[/tex]
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 31º = [tex]\frac{d}{20.5}[/tex]
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
The 7th grade has 220 students. Three-fifths of the students are girls. How many boys are in the 7th grade?
Answer:
88 are boys
Step-by-step explanation:
220 times 3/5 = 132
220-132 =88
The number of boys in the 7th grade is B = 88 boys
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as B
Now , the value of B is = number of boys
Substituting the values in the equation , we get
If three-fifths of the students are girls, then two-fifths must be boys, since the total fraction of students is equal to 1
On simplifying the equation , we get
To find the number of boys in the 7th grade, we can start by calculating the fraction of boys:
( 2/5 ) x 220 = 88
Hence , there are 88 boys in the 7th grade.
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You roll a 6-sided die.
What is P(factor of 8)?
Write your answer as a percentage.
Answer:
50% 1/2 3/6 0.5
Step-by-step explanation:
You can either get a 1, 2, 3, 4, 5, or a 6.
The factors of 8 include 1, 2, 4, 8.
There is only a matching 1, 2, and 4, but you cannot get any more factors. There are only 3 numbers out of a possible 6 number choices, so 3/6.
3/6 can be simplified to 1/2, and as a percentage, that is 50%.
f(x) = 72-12x what is the domain and range
Answer:
The domain is x and the range is f(x)
Step-by-step explanation:
add on sc alawad2003
Answer:
Mkay?
Step-by-step explanation:
12x+2y=-12 in slope form
Answer:
y = -6x - 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 12x + 2y = -12
Step 2: Rewrite in slope-intercept form
Subtract 12x on both sides: 2y = -12x - 12Divide 2 on both sides: y = -6x - 6GIVING BRAINLIST ASAP
Find the sales price:
$45.50 book, 30% discount
Round your answer to the nearest cent (hundredths place)
Answer:
$32.00
Step-by-step explanation:
$45.50 x 30%=
45.50 x 0.30= 14
$45.50-$14.00= $32.00
Answer:
31.85
Step-by-step explanation:
45.50 is your original price, 30 percent in decimal form is 13.65, so 45.50 minus 13.65 equals 31.85
What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14?
a
−8
b
−1
c
1
d
8
How do you slope on a graph?
Answer:
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Step-by-step explanation:
Answer:
Use the equation- Rise/Run
Step-by-step explanation:
First Rise up, go up or down then, Run left or right. It should create a right triangle and then you will be left with a fraction. Simplify the fraction and then there is your answer hope this helps!! :)
5 cm
What is the area?
8 cm
What is the area of 5 cm x 8 cm
Answer:
40 cm^2
Step-by-step explanation:
For the equation given below, evaluate y′ at the point (2,2).
xey−4y=3x−14+2e2
....... Why it's too difficult!?!?!? What is your class level?
6. Evaluate f(-1).
7. What value of a will make the equation f(a) = 6 true?
someone please help lol I have a test <3
Answer:
6. -f 7. f= 6/8
Step-by-step explanation:
Hope dis helps!!
What is the slope of the line that contains these points?
Answer:
[tex]m=7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from chart.
Point (-7, -7)
Point (-4, 14)
Step 2: Find slope m
Substitute: [tex]m=\frac{14+7}{-4+7}[/tex]Add: [tex]m=\frac{21}{3}[/tex]Divide: [tex]m=7[/tex]Answer:
[tex]\boxed {\boxed {\sf m=7}}[/tex]
Step-by-step explanation:
To find the slope, we can use the slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
We can pick any two points in the chart.
Let's use (-1, 35) and (2,56).
If we use these points, then the variables are:
[tex]x_1=-1 \\y_1=35 \\x_2=2 \\y_2=56[/tex]
Substitute the values into the formula.
[tex]m=\frac{56-35}{2--1}[/tex]
Solve the numerator.
56-35=21[tex]m=\frac{21}{2--1}[/tex]
Solve the denominator.
2--1= 2+1=3[tex]m=\frac{21}{3}[/tex]
Divide.
[tex]m=7[/tex]
The slope of the line is 7
The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is
Answer:
Hi... U should do like this
Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.
Set A = {4, 5, 6, 3, 3, 2, 4, 5, 8, 2, 5, 13}
Set B = {5, 6, 4, 2, 8, 4, 5, 6, 5, 2, 8, 3, 7, 3}
Set A has a peak at 5. It is also skewed to the right. The center is 5.
Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.
(Sorry about those circle in the back of my picture)
hello what is this answer 52.99290 rounded up
Answer:
53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Evaluate the circulation of G =xyi +zj +4yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.
Answer:
I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points
1 1/4c, 0.4L, 950mL. 0.7gal greatest to least
Answer:
0.7 gal, 11/4 cup, 0.4 liters, 950 mL
(this should be about right, im sorry if its not 100% correct)
Evaluate what should happen when data forecasted from an exponential smoothing technique is detected to have a trend component.
Answer:
Option A: exponential smoothing is also known as triple exponential smoothing or Holt-Winters Exponential Smoothing
Step-by-step explanation:
Explain the difference between a greatest common factor and a least common multpule
Answer:
The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.
Have a good day
a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?
Answer:
39
Step-by-step explanation:
Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).
Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
the point (-3, 2) is translated 2 units to the left and 7 units up. what are the new coordinates
Answer:
(-5, 9)
Step-by-step explanation:
(-3-2, 2+7)= (-5,9)
“Elijah and Jeffrey both collect baseball cards. Elijah has one-third as many baseball cards as Jeffrey. Jeffrey owns x cards.” Write an expression to represent the number of baseball cards Elijah owns.
Answer:
The Answer for this problem would be 2 -third :)
Step-by-step explanation:
It would be 2 third because Jeffrey has x more cards while they both have about the same amount of cards now in this problem we are looking for how many cards Elijah has right? Yes of course we are!!! Now we keep the 3rd cause in the problem it say says Elijah has one 3rd as MANY as Jeff :) Now our key word is as many so we multiply the first number into a two Yes we do!! now you get your answer i hope this helps so much with you guys understanding the simple math have a wonderful day i hope you understand!
The expression for the number of cards Elijah owns is (1/3)x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of cards Jeffrey owns = x
Elijah has one-third as many baseball cards as Jeffrey.
This means,
Number of cards Elijah owns = (1/3)x
Thus,
The number of cards Elijah owns is (1/3)x.
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Given that ABCD is a rhombus, what is the value of x?
Answer:
where is x
Step-by-step explanation:
Answer:
If it is (3x+12) then the answer is 19.5
Step-by-step explanation:
Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? One liter equals 1,000 millilters. Simplify your answer.
Answer:
[tex]Ratio = 0.74[/tex]
Step-by-step explanation:
Represent
- Andy with A
- Christopher with C
[tex]A = 3.5L[/tex]
[tex]C = 2580mL[/tex]
Required
Determine the ratio of C to A
Ratio is represented as thus:
[tex]Ratio = C:A[/tex]
Rewrite as fraction
[tex]Ratio = \frac{C}{A}[/tex]
This gives
[tex]Ratio = \frac{2580mL}{3.5L}[/tex]
Convert L to mL
[tex]Ratio = \frac{2580mL}{3.5*1000mL}[/tex]
[tex]Ratio = \frac{2580mL}{3500mL}[/tex]
[tex]Ratio = \frac{2580}{3500}[/tex]
[tex]Ratio = 0.73714285714[/tex]
[tex]Ratio = 0.74[/tex] --- Approximated
Pls help it is due today!!!!!
Answer:
BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE
Answer:
A
Step-by-step explanation:
Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions
Answer:
5 months
Step-by-step explanation:
because 1,1,1,1,1 = 5 4,4=8 5/8
Answer:
I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.
Step-by-step explanation:
I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.
So I need help. Obviously... Either.. I need help and please look at the images because brainly wants to be annoying and not let me say the P R O B L E M .
Answer
A
Step-by-step explanation:
Because this is per serving just start with 1 serving and multiply it by how many servings you're solving for
1 serving
Fat: 2
Protein: 11
2 servings
Fat: 4
Protein: 22
3 servings
Fat: 6
Protein: 33
4 servings
Fat: 8
Protein: 44
Because we want to be exact letter A is the best choice. The reason is simple. The other graphs are like measuring an exact cm measurement in inches. Yes, its possible and not wrong, but you're relying on the coordination of the person reading it to get it exact to the measurement which is more work than needed.
Hope this helps :)
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* Math
11
3.
Let x and y be positive integers and x >y.
11
Complete Question:
Let x and y be positive integers and x be greater than y.
11x/11y = ?
Answer:
11x/11y = x/y
Step-by-step explanation:
Given
x > y
Required
11x/11y
From the question, we understand that x is greater than y (i.e. x > y)
Also, we'll assume that y ≠ 0, in other not to result in an undefined result.
So,
11x/11y
Divide the numerator and denominator by 11
(11x ÷ 11)/(11y ÷ 11)
The result of the division is:
(x)/(y)
x/y
Hence,
11x/11y = x/y for x > y and y ≠ 0
8/180.0 i really need this anwser kid version for my kid pls and i would help but i also dont know
Hi, is this a fraction and are you asking for it to be simplified?
If so 8/180 simplifies to 2/45. If you're asking for 8 divided by 180, the answer is 0.04444444 or simply 0.0444... and rounded to the 100th place is 0.04