4. Would a 51-foot ladder be long enough to climb a 50-foot wall? Sketch a graph and find your answer using trigonometric functions
Answers
Answer:
Yes, it is enough to climb.
Step-by-step explanation:
Let suppose that wall is vertical and perpendicular to surface, a right-angled triangle is formed after using the ladder against the wall. (See attachment)
Ladder is useful only if its length is greater than wall length and trigonometrically speaking, the ratio of wall length to ladder length must be less than 1, associated with the definition of sine. That is:
[tex]\sin \theta = \frac{50\,ft}{51\,ft}[/tex]
[tex]\sin \theta = 0.980[/tex]
In a nutshell, the 51-foot ladder is useful to clime a 50-foot wall.
Related Questions
Use a graphing calculator to find the value of f(x) when x = 2 for the function f(x)=x2-5.
Answers
Answer:
-1
f(2)= 2* 2 - 5 = -1
but if you meant f(x)=x²-5
its
f(2)=2²-5 = 4-5 = -1
it's indeed not the same for all other values of x, for example x=3!
(would really appreciate the brainliest)
Mary has read 76% of her book and it’s on page 114. how many pages are in the book?
Answers
Answer:
150 pages
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76x
Divide 0.76 by 114
x = 150
There are 150 pages in the book
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
150 pages. Mark me brainiiest.✌✌
Step-by-step explanation:
76%
Write as a decimal by dividing by 100
76% / 100 = 0.76x
0.76
Add a decimal (x)
0.76x
Set equal to 114 (the page Mary is at)
114 = 0.76.
Divide 0.76 by 114 x = 150.
There are 150 pages in the book.
4/7 - -3/5 pls answer
Answers
Answer:
Step-by-step explanation:
when operating with two negative signs, the signs change to positive. so, the question becomes;
4/7 + 3/5
find LCM of the denominators then calculate, or just use a calculator.
the answer is 41/35 or in mixed fraction = 1 and 6/35
In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were 202020 soccer teams, and each team played a total of 383838 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games.
Answers
Answer:
Option B. y = 14x - 3.5
Number of wins for the team will be 24.5
Step-by-step explanation:
Since line of best fit passes through two points (0.25, 0) and (0.75, 7)
Let the equation of the line of best fit is, y - y' = m(x - x') + c
Here 'm' = Slope of the line
= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{7-0}{0.75-0.25}[/tex]
= [tex]\frac{7}{0.5}[/tex]
m = 14
Equation of the line of best fit passing through a point (0.25, 0) will be
y - 0 = 14(x - 0.25)
y = 14x - 3.5 [Option B]
Now number of wins for a team that scores 2 goals per match will be,
For x = 2
y = 14x - 3.5
y = 14×2 - 3.5
= 28 - 3.5
= 24.5 wins
Therefore, number of wins for the team will be 24.5
Answer:
B on khan and 24.5
Step-by-step explanation:
PLEASE HELP URGENT!!!!!
WILL MARK U AS BRAINLIEST!!!!!
Answers
Answer:
B.
Step-by-step explanation:
Well in a secant - secant angle, the measure of E is equal to half the measure of CD - AB. You can calculate CD by subtracting 325 from 360.
CD = 35
E = 1 / 2(85 - 35)
E = 25
Answer:
B.
Step-by-step explanation:
Brain made a tasty burger. The diameter was 5 cm. What is the radius of the circle?
Answers
Answer: 2.5 cm
Step-by-step explanation:
5/2=2.5
The radius is half the diameter to just divide the diameter by 2 to find the radius.
what is the slope of the line that passes through the points (6, -3) and (1, 7)
Answers
Answer:
-2
Step-by-step explanation:
2 Points
Multiply the polynomials.
(x + 3)(3x2 + 8x + 9)
A. 3x3 + x2 + 33x+ 213
B. 3x3 + 17x2 - 15x+27
C. 3x3 + 17x2 + 33x-27
D. 3x3 + 17x2 + 33x + 27
Answers
Answer:
3x³ + 17x² + 33x + 27
Explanation:
(x + 3)(3x² + 8x + 9)
= (x + 3)(3x² + 8x + 9)
= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)
= 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27
D
E
1. Which angle is vertically opposite to DGE
Answers
Answer:
BOF
Step-by-step explanation:
I am not sure but if you line it up you'll get it
Answer:
angle BGF
Step-by-step explanation:
angle BGF is vertically opposite to angle DGE
A football team gains 8 yards in one play, then loses 5 yards in the next. What is the team’s total yardage for the two plays?
Answers
Answer:
+8yds - 5yds = +3yds
Step-by-step explanation:
A cookie jar contains 9 chocolate chip, 5 oatmeal, and 6 sugar cookies. What is the probability that a cookie selected at random will be a chocolate chip cookie? Group of answer choices
Answers
Answer:
0.45 or 45% or 9/20
Step-by-step explanation:
Altogether you have 20 cookies, and you have 9 chocolate chip cookies.
NEED HELP ASAP - 45 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
When an 8kg mass is hung from a vertical spring, it stretches 12 cm. Calculate the spring constant “k”.
Answers
Answer:
the spring constant is 34 degrees going left down
Step-by-step explanation:
There area of a wall is 600 square feet.
How much paint is needed if there is 8 liters per square feet?
Answers
Answer: i think about 4800 liters
Step-by-step explanation:
600 feet/ by 8 liters of sq ft is 4800
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply.
A. 25
B. -18
C. -4
D. 0
Answers
Answer:
Step-by-step explanation:
Your answers are -18 and -4
identify the volume and surface area of a sphere in terms of pi with a great circle area of 144 pi ft
Answers
Answer:
Volume of sphere is 2,304 pi ft^3
Surface area of sphere is 576 pi ft^2
Step-by-step explanation:
When we talk of a great circle, we are talking of a circle around the sphere that has the same radius as the sphere.
Mathematically the area of the great circle is pi * r * r
now pi * r^2 = 144 pi
divide both sides by pi
r^2 = 144
r^2 = 12^2
since power are equal, we equate bases and the radius of the circle is thus equal to 12 feet
Now to calculate the volume of the sphere,
We know that the volume of a sphere is ;
V = 4/3 * pi * r^3
V = 4/3 * pi * 12^3
V = 4 * pi * 4 * 12^2 = 2304 pi ft^3
The surface area of the sphere is mathematically equal to 4 * pi * r^2
= 4 * pi * 12^2 = 576 pi ft^2
Box 2:
length • width • height = (4x-1)•x•x^3
volume = 4x^5-x^4
Degree of length:
Degree of width:
Degree of height:
Degree of volume:
Answers
Degree of length=1
Degree of width=1
Degree of height=3
Degree of volume=5
The [SUM] of the degree of each factor is the degree of the product
Why does this make sense Answer is C
Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3
Degree of a polynomialThe degree of an equation is the power of the leading variable.
Given the following measures
length = 4x - 1
width = x
height = x -3
Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3
Learn more on degree of a function here: https://brainly.com/question/1600696
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Which of the following describes the parabola with the equation y = 4x2 - 12x + 9?
A) The axis of symmetry is x = 0 and the vertex is (0,9).
B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
C)The axis of symmetry is x = 4 and the vertex is (4, -12).
D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).
Answers
Answer:
Step-by-step explanation:
To find the vertex of this parabola, "complete the square:" Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:
y = 4x^2 - 12x + 9 => y = 4(x^2 - 3x) + 9.
Now complete the square of x^2 - 3x: Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4. Add 9/4 to x^2 - 3x and then subtract 9/4 from the result: We get x^2 - 3x + 9/4 - 9/4. Substitute this result back into
y = 4(x^2 - 3x) + 9: y = 4(x^2 - 3x + 9/4 - 9/4) + 9
and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:
y = 4(x - 3/2)^2 - 9/4) + 9. This simplifies to:
y = 4(x - 3/2)^2 + 0.
Thus, the vertex is at (3/2, 0) and the axis of symmetry is x = 3/2. This agrees with Answer B.
1 (4x – 8) + 3x = 36
Answers
(the 8 used to be negative)
then you combine the x’s:
7x + 8 = 36
then you do the opposite on the other side:
7x = 36 - 8
then it becomes simplified:
7x = 28
then you divide:
28/7
x = 4
David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take as a ratio in its simplest form.
i'm not sure how to do it
Answers
Answer:
61 : 60
Step-by-step explanation:
Well to make a ratio, you just have to have David time : Mark time
So if you convert Mark's time into minutes, it is 60 minutes
61 : 60
That's the simplest form.
Answer:
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
Step-by-step explanation:
A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.
David takes 61 minutes to do a task.
Mark 1 hour to do the same task. 1 hour = 60 minutes.
You are comparing David's time to Mark's time.
The ratio of David's time to Mark's time is 61 minutes to 60 minutes.
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on the results of the survey, predict the number of students in the school whose favorite ice cream flavor is chocolate.
Answers
Answer:
351
Step-by-step explanation:
Complete question :
Vanilla= 36
Chocolate=21
Strawberry=24
Chocolate Chip=39
SOLUTION:
39 chocolate chip to 200 students = x chocolate chip to 1800 students
39/200 = x / 1800
Solving for 'x'
(200)(x) = (39)(1800)
200x = 70200
x = 70200/200
x = 351
OR
39 out of 200 picked chocolate chip
therefore, 39/200 = 0.195 = 19.5% ( 32.5% chose chocolate chip)
19.5% of 1800 = 0.195(1800) = 351 students
A shoe dealer purchased net Birr 8,000 worth of shoes from a shoe company.A Find the amount it is to pay the company including VAT.BIf the dealer sold the shoes for Birr 12,000, find the amount of VAT liable tothe dealer.
Answers
Answer:
A) Total amount to be paid = Birr 8,560
B) Amount of VAT liable to the dealer = Birr 520
Step-by-step explanation:
The tax on bought commodity and the tax on sold commodity isn't provided but in some places, these values are 7% and 9% respectively. So, these are the values that will be used for this question.
Note that these values vary from country to country and the value missing from this question will not change how the question is solved; the question will still be solved in a similar manner, only the parameters will vary.
A) The dealer bought Birr 8000 at 7% tax.
Total amount to be paid = cost price (1 + r%)
r = 7% = 0.07
Total amount to be paid = 8000 × 1.07 = Birr 8,560
B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.
Tax paid when the shoes were bought = 7% of cost price = 7% × 8,000 = Birr 560
Tax paid when the shoes were sold = 9% of selling price = 9% × 12,000 = Birr 1,080
VAT = tax recovered on sale - Tax paid on purchase
VAT = 1080 - 560 = Birr 520
Hope this Helps!!!
Describe a general procedure to find the surface area of any figure.
Answers
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
To find the total surface area of a figure, we need to add all the areas of every surface and add them.
What is the surface are?
The surface area of a figure is the total area of the outside of the figure.
If the surface area of a particular figure is just only one type (ex: sphere), then the calculation of the surface area will be easier.
If the surface of a figure consists of different types of geometrical figure(ex: cone), then we need to find the area of each and then add them.
Learn more about the surface area of a figure here: https://brainly.com/question/10026601
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A trailer truck carries 11,430 bottles, each weighing 14 ounces.To the nearest ton, how much weight does the truck carry
Answers
Answer:
10
Step-by-step explanation:
[tex]11430\cdot 14 = 160020[/tex] ounces
[tex]160020\div 16=10001.25\approx 10[/tex] tons.
Hope this helps!
The required weight that the truck carried in ton is 5.
What is Unitary Rule?In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones
How to calculate unitary method?Here we have given truck carry
11,430 bottles
If each bottle weight = 14 ounce
Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce
Also we have
1 ton = 32000 ounce
Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton
Therefore the required weight in ton of total weight 160020 ounce is
= [tex]\frac{160020}{32000}[/tex]
= 5
This is the conclusion to the answer.
Learn more about unitary method here-
https://brainly.com/question/8083231
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Frank I puts £5000 in a bank account for 6 years with an interest rate of 7.5% . what is the Amount at the end of that time?
Answers
Answer:
£2250
Step-by-step explanation:
Interest= p×r×t÷100
Interest= 5000×7.5×6÷100
Interest= 225000÷100
Interest= £2250
The roots of the function f(x) = x2 - 2x - 3 are shown. What is the missing number
x= -1 and x =
Answers
Answer:
x = -1 and x = 3
Step-by-step explanation:
x² – 2x – 3 = (x - 3) (x + 1) = 0
x = 3 or x = -1
Answer:
3
Step-by-step explanation:
edge 2022
The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each pizza and each drink cost?
Answers
Answer:
Each pizza costs $12.
Each drink costs $2.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of each pizza.
y is the cost of each drinks.
The Talbot family got 2 pizzas and 4 drinks for $32.
This means that [tex]2x + 4y = 32[/tex]
The Martinez family got 3 pizzas and 8 drinks for $52.
This means that [tex]3x + 8y = 52[/tex]
Using the addition method, multiplying the first equation by -2.
-4x - 8y = -64
3x + 8y = 52
-4x + 3x - 8y + 8y = -64 + 52
-x = -12
x = 12
Each pizza costs $12.
2x + 4y = 32
2x + 4y = 32
4y = 32 - 2x
4y = 32 - 2*12
4y = 8
y = 2
Each drink costs $2.
Please help!! I will give brainliest if you will explain your answer good. Thank u!! I think it is b ...... I need a second opinion!!
(Question and answer choices are attached)
Answers
my second opinion would be you are correct, its b
Hey, just trying finish up some math before school ends. What's the answer to 3n+2(-2n-1) ? Thanks!
Answers
Answer:
-n - 2
Step-by-step explanation:
3n+2(-2n-1)
= 3n -4n -2
= -n - 2
Any help is appreciated
Answers
Answer:
<KMN=5°
Step-by-step explanation:
<K+<L=<KMN
81+4x=13x+36
81-36=13x-4x
45=9x(divide both sides by 9)
x=5°=<KMN
A pine is 35 and one half feet tall, and grows 3 and one half feet each year. A redwood is 43 feet tall, and grows 3 and one half feet each year. How tall will each tree be after 21 years?
Answers
Answer:
Pine would be 108.5 Redwood would be 116.5.
Step-by-step explanation:
Since they both grow the same amount, we just add their original number by 73.5.