Answers
Answer:
4' - 9.64
Step-by-step explanation:
Total rise = 2' - 7"
Total run = 3' - 9"
Converting to inches :
1' = 12" ; 1 feet = 12 inches
2' = 2 * 12 = 24"
3' = 3 * 12 = 36"
Total rise = 24" + 7" = 31"
Total run = 36" + 9" = 45"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(31² + 45²)
Hypotenus = 54.644304"
= 4' - 9.64"
Related Questions
Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?
Answers
Answer:
8.6 years
Step-by-step explanation:
What is the degree of the missing angle?
Answers
180°-(49+90+x)
x=180°- 139
X=41°
Step-by-step explanation
The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000
Answers
A coffeemaker can brew at a rate of 1 cup every 0 8 minute. At this rate, how long would it take to brew 6 cups?
Answers
Answer:
48 minutes
Step-by-step explanation:
Multiply
The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.
Answers
Answer:
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.
In this question:
[tex]y = 9x + 5[/tex]
Exchanging x and y:
[tex]x = 9y + 5[/tex]
Isolating y:
[tex]9y = x - 5[/tex]
[tex]y = \frac{x - 5}{9}[/tex]
[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Traffic cameras showed that 15 of every 50 cars passing through a certain intersection did
not fully stop at the stop sign. Based on this sample, what is the probability that a car
arriving at this intersection will not fully stop?
0 0.03
0 0.15
0.30
0 0.50
Answers
Answer:
C, 0.30
Step-by-step explanation:
First, simplify.
[tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex]
Next, divide
3 ÷ 10 = 0.30 or 0.3
Have a great day!
Answer:
0.30 is the probability that a car arriving at this intersection will not fully stop.Step-by-step explanation:
Given that:
Total number of cars passing = 50 cars Number of cars not fully stop at the stop sign = 15 carsTo Find:
What is the probability that a car arriving at this intersection will not fully stop?We know that:
P(E) = F/TWhere,
P(E) = Probability of an event F = Favorable outcomes = 15T = Total outcomes = 50Finding the probability that a car arriving at this intersection will not fully stop:
⟶ P(E) = 15/50
Multiply by 2 with both numerator and denominator.
⟶ P(E) = (15 × 2)/(50 × 2)
⟶ P(E) = 30/100
⟶ P(E) = 0.30
Hence,
The probability that a car arriving at this intersection will not fully stop is 0.30.what is the volume of this shape?
Answers
Answer:
84,000 cm³
Step-by-step explanation:
This is a prism with a trapezoidal base.
V = BH
where V = volume of prism, B = area of the base, H = height of the prism
For the trapezoid, the area is
A = ½(b1 + b2)h,
where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.
V = ½(b1 + b2)hH
V = ½(60 cm + 45 cm) (20 cm)(80 cm)
V = 84,000 cm³
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. How many inches did the corn plant grow during Week 2?
Answers
Answer:
The corn plant grew by 11.17 inches during week 2.
Step-by-step explanation:
7 and 1/3 inches tall at the end of Week 1.
The height at the end of week 1, as a simple fraction, is:
[tex]7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}[/tex]
The corn plant was 18 1/2 inches tall at the end of Week 2.
At the end of week 2, the height will be of:
[tex]18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}[/tex]
How many inches did the corn plant grow during Week 2?
Height at the end of week 2 subtracted by the height at the end of week 1. So
[tex]\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17[/tex]
The corn plant grew by 11.17 inches during week 2.
How much is 54 + 12 = ?
Answers
Answer:
66
Step-by-step explanation:
I need this please help me
Answers
9514 1404 393
Answer:
L'(4, -3)
Step-by-step explanation:
The reflection over the horizontal line y=-1 effects the transformation ...
(x, y) ⇒ (x, -2-y)
So, the coordinates of L are transformed to ..
L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)
Simplify −6+13x−7−16x
Answers
-1
-29x-1. You have no idea what if she has
Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?
Answers
Answer: 25% decrease
Step-by-step explanation:
80 - 60
----------- = 20/80 = 1/4 OR 25%
80
Hope this helped :)
Which ordered pair is a solution of the linear system: x+2y=-8 and
-4x+y=5? *
O A. (-2-3)
OB.(2-3)
C. (-3,-2)
D. (-1,0)
HELP ASAPPPPPP
Answers
Answer:
option A
A(-2,-3)
Step-by-step explanation:
make y subject of formula
x+2y=-8
2y=-8-x
y=(-8-x)/2
y=-4-x/2
when x=-2
y=-4-(-2)/2
=-4-(-1)
=-4+1
=-3
(-2,-3) is an ordered pair
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
Answers
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
PLS HELP!!!!!!!!!!!!!
Write the recursive rule for the sequence: 5, -10, 20, -40, 80
Answers
Answer:
We observe that this is a GP with:
the first term t₁ = 5common ratio r = -2The nth term is:
tₙ = t₁rⁿ⁻¹tₙ = 5(-2)ⁿ⁻¹Another name for a hexahedron is O A. cube O B. cylinder O C. pyramid O D. equilateral triangle
Answers
Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2,3, 4, 6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18
Answers
Answer:
Step-by-step explanation:
1,2,3,4,6,9,12,18,36
Which mixed number is equivalent to the fraction 11/4
Answers
Answer:
2 3/4
Step-by-step explanation:
A study finds that 80% of the local high school students text while doing homework. Ten students are selected at random from the local high
school. Which expression would be part of the process used to determine the probability that, at most, 7 of the 10 students text while doing homework?
Answers
Answer:
Step-by-step explanation:
iihhhhhhhhhhhhhhhhhhhhiiiiiiiiiiii
Answers
Answer:
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Formula to find commission
Answers
A commission is a percentage of total sales,
multiply the rate of commission by the total sales
Jose earns 954 per hour at his job he worked 18 hours last week calculate Jose's pay before taxes
Answers
Answer:
$171.72
Step-by-step explanation:
$9.54 x 18
What is mJH
mJH = degrees
Answers
ytog8higfjfhlfiydd6ofudydyfof6f
tA dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?
Answers
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
Additional comment
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tubes of paint that all costs the same amount. *
Answers
Answer:
if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars
Step-by-step explanation:
hope this helps
Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?
Answers
Answer:
73
Explanation
To find the average we need to find the mean. So you have
87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.
(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)
What is the value of x help please
Answers
Answer:
110 degrees
Step-by-step explanation:
the answer is 110 degrees
add up everything and subtract it by 360 to get 110.
plz dont report. Can I have brainliest. I need it.
Answer:
we will add all the sides
40+128+×+82=360
250+×=360
×=360-250
x=110
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
created by adding 7 to each number in the original data set that is greater than the median and
subtracting 7 from each number in the original data set that is less than the median. Which of
the following measures does NOT have the same value in both the original and new data sets?
A.Median
B.Mean
C. Sum of the numbers
D. Standard deviation
Answers
Answer:
Option D.
Step-by-step explanation:
Suppose that we have a set of N values:
{x₁, x₂, ..., xₙ}
The median is the value in the middle, and the mean is calculated as:
[tex]M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}[/tex]
Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)
Now we add 7 to all the values greater than the median
We subtract 7 to all values smaller than the median.
Then the median remains unchanged (because we did not add nor subtract anything to the median).
The new mean will be:
[tex]M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M[/tex]
So the mean does not change.
Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.
Finally, the standard deviation is computed as:
[tex]SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }[/tex]
Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)
Then the only value that does not have the same value in both the original and new data sets is the standard deviation.
Which graph represents the given equation?
y = :2 + 41 - 2
O. A.
N
X
2
N
-21
B.
ܢܬ
#
2
-21
N
+21
C.
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
_____
Additional comment
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
- 17x2 - 30x = 40 What is b + c?
Answers
9514 1404 393
Answer:
+70 or -70, depending on how you rewrite the equation
Step-by-step explanation:
A quadratic equation in standard form can be written as ...
ax² +bx +c = 0
When this equation is written in standard form, it could be either of ...
17x² +30x +40 = 0 . . . . . . . . . . add 17x²+30x to both sides
or
-17x^2 -30x -40 = 0 . . . . . . . . . subtract 40 from both sides
__
In the first case, a = 17, b = 30, c = 40 and (b+c) = 70.
In the second case, a = -17, b = -17, c = -40 and (b+c) = -70.
_____
Additional comment
I personally prefer a positive leading coefficient, but it is less work to subtract 40 from both sides than to subtract 2 terms from both sides. Check your curriculum materials for the preferred rewrite in this case.