Answer:
point slope form.
Step-by-step explanation:
this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y
1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.
Answer:
A)
Each landing is about 17 inches.
B)
The vertical rise from Floor 1 to Floor 2 is about 7 feet.
Step-by-step explanation:
Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)
Part A)
So, we want to find the length of [tex]\ell[/tex].
Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.
Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]
Solve for [tex]\ell[/tex]. Cross-multiply:
[tex]\displaystyle \ell\tan(30.20)=10[/tex]
So:
[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]
The landing space per step is about 17 inches.
Part B)
We know that there are a total of 12 feet of horizontal space total for each landing.
12 feet is equivalent to (12)(12) = 144 inches.
Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.
Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.
When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?
Answer:
0.390%
Step-by-step explanation:
100-36=64
25÷64=0.390625
Answer:
2.6
explanation:
100-36=64
64/25= 2.6
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
I need help with math pls
The answer is 6
Explanation:
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
Please help Im confused
Answer:
x=40
Step-by-step explanation:
to get from 3 to 15, you multiply by 5
multiply 8 by 5 and you get 40
x is 40
please give me brainliest!!<3
Is the number of increments in part B positive or negative?
positive
Step-by-step explanation:
Answer:
The number of increments is positive.
Step-by-step explanation:
got it on edmentum :)
what is this answer?
Answer:
the answer is h=9
Step-by-step explanation:
the answer is h=9
27/3=9
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
The volume of a rectangular prism can be modeled by the expression 4x3 - 108.
Find expressions for the dimensions of the prism by factoring, Write dimensions in box.
Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
Which quadratic equation has roots -7 and 3/2 ?
Answer:
If the discriminant of the quadratic equation is zero then it will have 2 equal roots.
If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.
If the discriminant of the quadratic equation is less than zero then it will have no roots.
Step-by-step explanation:
hope this helped
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
Answer:
In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.
Step-by-step explanation:
Is 5/9 closer to 1, 1/2, or 1?
Answer:
Closer to 1/2
Step-by-step explanation:
Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.
Answer:
1/2
Step-by-step explanation:
Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
what is the inverse f(x)=1/5x
Answer:
F = 1/5
Step-by-step explanation:
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Question 5 options:
33%
133%
75%
175%
Answer:
60-45= 15
15/45= 0.33
0.33 X 100 = 33%
You took a math test with 20 questions on it. Your teacher said you got 90% of
the problems correct. How many questions did you get correct on the test?
a.
9
b.
15
C.
18
d.
90
Please hurry
Answer:
Hello as fast as i can answer 18.
Step-by-step explanation:
Reason 20 times 5 equals a 100
so 18 times 5 equals 90.
there for 18 is your answer.
-
Have a good day.
Answer:
C. 18
Step-by-step explanation:
90% of 20 is 18! Good luck!
Helpppppp Fast!!!!!!!!!!!!
Answer:
1 1/3 feet by 3 feet
Step-by-step explanation:
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
Please help me need it in 5 mins
Answer/Step-by-step explanation:
The question didn't specify which of the numbered angle we're to look for. However, let's find all the numbered angles.
✔️m<2 = 180° - 53° (linear pair angles)
m<2 = 127°
✔️m<7 = 180° - 53° (consecutive exterior angles are supplematry)
m<7 = 127°
✔️m<8 = 53° (alternate exterior angles are congruent)
What is 4/5 divided by 1/2
Answer:
4/5 / 1/2=1 3/5
Step-by-step explanation:
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?
$200 at 6% for 10 years find the interest and find the balance of the account
Answer:
358
Stefffffffffffffffffffffffffffp-by-step explanation:
What is a factor that is less than 1?
Answer:
none
Step-by-step explanation:
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
What is the slope of the line through (2, 10) and (-2, 17)?
What is the coefficient of the x^2-term of the product
Answer:
it's x
Step-by-step explanation:
x is what is being raised by 2
Answer:
1
Step-by-step explanation:
The coefficient of x^2 is 1 because there is no real number in front of it
Hope this helped! Please mark me brainliest!
carrie biked 75 miles in 3 days.
Answer:
25 miles a day
Step-by-step explanation:
75 divided by 3 is 25
Answer:
wow good job carrieee lol
thers no question tho :(
Need help with this:(
Answer:
x=0
y=-3
Step-by-step explanation:
Please help me with my homework!!!!
Answer: -19 i think
Step-by-step explanation: