Answers
9514 1404 393
Answer:
51°
Step-by-step explanation:
The angles where the expressions are given are a linear pair, so total 180°.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms
x = 156/13 = 12
Then the acute angle is ...
3x +15 = 3(12) +15 = 36 +15 = 51
The stairs make an angle of 51° with the basement floor.
_____
Additional comment
Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.
Related Questions
(i) sin²θ + cos²θ =
(ii) 1 + tan²θ =
(iii) 1 + cot² θ =
(iv) Sin 2 θ =
Answers
Answer:
(i) sin²θ + cos²θ = 1
(ii) 1 + tan²θ = sec²θ
(iii) 1 + cot²θ = cosec²θ
(iv) Sin 2θ = 2 Sinθ cosθ
-TheUnknownScientist
Step-by-step explanation:
(1) = 1
(2) = sec²θ
(3) = cosec² θ
(4) = 2 Sin θ cos
Anyone I need this please
Answers
What is 0.8 m3 when converted in cm3?
Answers
Answer:
80 cm3
Step-by-step explanation:
100 cm = 1 m
.8m * 100 - 80cm
What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)
Answers
Answer:
b
Step-by-step explanation:
A tablet sales associate makes $84 each day that she works and makes approximately $33 in commission for each tablet that she sells. If she wants to make at least $348 in one day, at least how many tablets does she need to sell?
Answers
Answer:
8 tablets
Step-by-step explanation:
t = # tablets she must sell
348 = 33t + 84
264 = 33t
t = 8
The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.
Let's denote the number of tablets sold as "x."
Given:
Earnings per day (base pay) = $84
Commission per tablet sold = $33
Desired earnings for the day = $348
The total earnings for the day can be calculated as follows:
Total earnings = Base pay + (Commission per tablet * Number of tablets sold)
Total earnings ≥ Desired earnings
Setting up the inequality:
$84 + ($33 * x) ≥ $348
Simplifying the inequality:
$84 + $33x ≥ $348
Now, let's solve for x:
$33x ≥ $348 - $84
$33x ≥ $264
Dividing both sides of the inequality by $33 (the coefficient of x):
x ≥ $264 / $33
x ≥ 8
Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
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if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answers
Answer:
A.
Step-by-step explanation:
it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.
The scatterplot shows the relationship between the percentage of battery life remaining in 12 smoke detectors and the number of months that the batteries have been in the smoke detectors.
Based on the scatterplot, what is the best prediction of the number of months it would take for the battery in a smoke detector to have 20 percent battery life remaining?
A-9 months
B-7 months
C-11 months
D-6 months
Answers
How can a shape have perdindicular but not parallel sides?
Answers
Answer:
Step-by-step explanation:
This uh
Helps me is urgent Match each type of insurance with an example of what it would pay for.
Renter's
insurance
?
Repair on a car involved in
an accident
Auto insurance
2
Replacement of a
computer stolen from an
apartment
Life insurance
2
Funeral expenses
Health insurance
?
A trip to the emergency
room
PREVIOUS
Answers
An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?
Answers
Answer:
You are having a stroke.
Step-by-step explanation:
1. Go to the hospital.
what is the area of the figure at the right 14cm 16cm 20cm 38cm
Answers
Answer:
170240
Step-by-step explanation:
Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answers
Answer:
Step-by-step explanation:
hello :
here is an solution
I NEED THIS ANSWER ASAP
In this Truss Bridge, parallelograms QRST and WXYZ are congruent. If ST=32 ft, what is ST?
Answers
Answer:
don't click the link the bot put it's a bad link btw
Answer: 32ft
Step-by-step explanation:
got it right
A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3
Answers
Considering the provided information in the given question we have,
A gift box is in the shape of a cube.Length of each edge = 4.5 inWe need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,
→ Volume of cube = l × l × l
→ Volume of cube = 4.5 in × 4.5 in × 4.5 in
→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]
Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].
Determine if 0.875 is rational or irrational and give a reason for your answer.
Answers
Laura goes to the carnival and receives 60 tokens to play games.
•each game required 4 tokens.
•At the end of the evening she used all of her tokens,how many games did laura play?
A.10
B.15
C.16
D.24
Answers
Answer: (B) 15
Step-by-step explanation:
Laura had 60 tokens to use and each game required 4 of them. By the end of the evening all of her tokens had been spent.
Let x represent the number of games Laura has played. Since Laura used up all of her tokens we can determine that for some integer x, 60 - 4x = 0
Solve for x
60 - 4x = 0
- 4x = - 60
x = [tex]\frac{60}{4}[/tex]
x = 15
Therefore, Laura played 15 games by the end of the evening
Fill in the blank with a symbol that makes this statement true: 2/5 ____ 1/2
Answers
Because if you do common denominator which is 10 you get 2/5 as 4/10 and 1/2 as 5/10 so therefore 1/2 is greater
Mrs.biillitti bought 3 pounds of red grapes and 2.5 all grapes cost $1.28 per pound how much money did she spend
Answers
Answer:
$9.60
Step-by-step explanation:
2.5 x 3=7.5
7.5 x 1.28=9.6
so the answer would be $9.60 I think.
I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3
Answers
Answer:
1) AM, MY, AY
2) GY, GQ, QY
3) QM, QG, MG
4) YX, YG, XG
Step-by-step explanation:
In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.
Using this concept, we can answer the questions;
1) Largest side = AM
Smallest side = AY
Arranging from largest to smallest side;
AM, MY, AY
2) Largest side = GY
Shortest side = QY
Arranging from largest to smallest side;
GY, GQ, QY
3) Largest side = QM
Shortest side = MG
Arranging from largest to smallest side;
QM, QG, MG
4) Largest side = YX
Smallest side = XG
Arranging from largest to smallest side;
YX, YG, XG
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
Answers
(33x3+6x-9)+(-33x3+9x2-10)
Answers
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.
The mean is $
. The median is $
. The mode is $
.
The
best describes the data, so the
is the better measure of variability.
Answers
Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
What is the mean, median, mode?
Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.
Here given data is
$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]
Here,
Mean is the sum of all values divided by number of observation
i.e,
[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]
Median is the middle value of the data, firstly we arrange the data in ascending order
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
So, the middle value is [tex]15.50[/tex] $.
Mode is the repetition of the same number in the data
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
Then, [tex]15.00[/tex] is the mode of the given data.
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
To know more about the mean, median and mode
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In your own words, state what you know about piecewise-defined function. Use complete sentences.
Answers
Answer:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
What is the answer please help no links I will report
Answer choices
35%
48%
52%
Answers
Answer:
Step-by-step explanation:
T-Ball 52% Soccer 48% Basketball 35%
Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operations on this equation
Answers
Answer:
The answers to your questions are given below.
Step-by-step explanation:
x² – 24 = 10x
Using the format given in the question above, we shall determine the value of x as follow:
I. Make the equation equal to zero
x² – 24 = 10x
Rearrange
x² – 10x – 24 = 0
II. Find two numbers that multiply to __ and add to ___
Multiply the first term (i.e x²) and the last term (i.e –24). The result is –24x².
Find two factors of –24x² such that their sum will result to the 2nd term (i.e –10x). The numbers are 2x and –12x
Thus, Find two numbers that multiply to –24x² and add to –10x
III. Factored equation
x² – 10x – 24 = 0
x² + 2x – 12x – 24 = 0
x(x + 2) – 12(x + 2) = 0
(x – 12)(x + 2) = 0
Thus, the factored equation is:
(x – 12)(x + 2) = 0
IV. The solution are:
(x – 12)(x + 2) = 0
x – 12 = 0 or x + 2 = 0
x = 12 or x = –2
Thus, the solutions are x = 12 or x = –2
rewrite each fraction with a denominator of 10 7/2=? 3/5=?
Answers
HELP PLS Find the measure of the angle indicated.
Answers
Answer:
I think that that angle would also be 102 degrees.
Write an explicit formula for an, the n^th
term of the sequence 2, 4, 6, ....
Answers
Answer:
[tex]a_n=2n[/tex]
Step-by-step explanation:
The given sequence is 2, 4, 6, ....
We need to write an explicit formula for [tex]a_n[/tex]. The firts term is 2, second term is 4 and third term is 6 and so on.
Each term is 2 greater than the term before it. Thus we can write it as follows :
[tex]a_n=2n[/tex]
Where
n = 1,2,3....
Hence, the explicit formula is [tex]a_n=2n[/tex].
HELP ASAP PLS NO LINKS
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.)
{0, 1,2,3,4}
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
0
Step-by-step explanation:
0
Complete the square in the following quadratic equation
Answers
Answer:
x^2 + 2x = 1 = - 1
Step-by-step explanation:
x^2 + 2x + 3 = 1
x^2 + 2x + 3 - 2 = 1 - 2
x^2 + 2x + 1 = - 1