Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.
The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is
[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]
where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get
[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]
Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is
[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]
Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092
2x3 + 8x2 + 10x + 4 all potential roots and actual roots
Answer:
potential: {±1/2, ±1, ±2, ±4}actual: [-2, -1, -1}Step-by-step explanation:
The Rational Root Theorem tells you that potential rational roots are ...
±(divisor of constant term)/(divisor of leading coefficient)
Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...
±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots
Examination of the graph of the function shows the actual roots are ...
x = -2, -1 (multiplicity 2)
_____
Additional comment
Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)
Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.
(22²bc) (56°c)
a) loeb e b)25 å b2
c) 10å b¢ ) 10 abc
a
b
C
d
Simplify:
Answer:
a
Step-by-step explanation:
(2a²bc²)(5b²c)
= 2 × 5 × a² × b × b² × c² × c
= 10 × a² × b³ × c³
= 10a²b³c³
What is 2 plus 55?
........................
Answer:
57
Step-by-step explanation:
...........................
If you add 2 to 55 it’s going to equal 57
Solve the following equation by factoring: x^2+ x– 42 = 0
Answer:
x=6,x=-7
Step-by-step explanation:
x^2+x-42=0
x^2-6x+7x-42=0
x(x-6)7(x-6)=0
(x-6)(x+7)=0
1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
How much money does the waiter get?
Answer:
5
Step-by-step explanation:
this means it'll be $55
Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
merry Christmas y'all
Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
If 4 Apple pies require 22 apples, how many pies can be made with 77apples?
IT IS WORTH 50 POINTS
Answer:
14 apple pies
Step-by-step explanation:
What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.
Please help I don't understand i'm in the lowest class.
Answer:
Step-by-step explanation:
Pleaseeee helppppp meeee
Answer:
5) y=13x+10
6)
A. The subtraction property of equality says if we subtract one side of the equation, we do the same for the other side.
B. The addition inverse property is what you add to a number to create the sum of 0.
C. Like the subtraction property of equality, the division property says when you divide one side, you must divide the other side.
Step-by-step explanation:
Explained in answer :D hope it made sense
solve for x and graph the solution on the number line
Answer:
[tex]\boxed{\sf x\ge \:-1}[/tex]
Step-by-step explanation:
[tex]\sf 4x\ge \:-4[/tex]
Divide both sides by 4:
[tex]\sf \cfrac{4x}{4}\ge \cfrac{-4}{4}[/tex][tex]\sf x\ge \:-1[/tex]__________________________________
Plz solve the problem.
Answer:
x = 7
Step-by-step explanation:
What is the square root of -7
Answer:
negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc
A storage container leaks water at a rate of 15 gallons every 30 days.
What is the unit rate in gallons per week?
Enter your answer as a mixed number in simplest form in the box.
Answer:
i think 3.5 gallons per week
[tex]3 \frac{1}{2} [/tex]
Step-by-step explanation:
15 gallons every 30 days
x gallons per weeks (7 days)
15×7 = 30x
105 = 30x
105/30 = x
3.5 = x
answer as a mixed number in simplest form = 3 1/2
Answer: The answer is 3 1/2
Step-by-step explanation:
I took the quiz and did 100% :)
Factor
x ^ 3 + 2x ^ 2 – 5x - 10 = 0
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
A certain stock sold for $56.12 on Monday. On Tuesday it sold for $60.19. Find the increase in the price of the stock from Monday to Tuesday
Answer:
$ 4.07
Step-by-step explanation:
The problem is asking for the Increase in the stock price from Monday to Tuesday, meaning they want to know the difference between the stock price on Monday and Tuesday.
So we subtract Monday's price from Tuesday's price.
$60.19- 56.12 = $4.07
Please help
The question is in the picture
Answer:
A
Step-by-step explanation:
90/2 = 45
45/2 = 22.5
a-y= b+y/a make y subject
Answer:
y = [tex]\frac{a^2-ab}{a+1}[/tex]
Step-by-step explanation:
a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )
a² - ay = ab + y ( subtract y from both sides )
a² - ay - y = ab ( subtract a² from both sides )
- ay - y = ab - a² ← factor out y from each term on the left side
y(- a - 1) = ab - a² ( divide both sides by - a - 1 )
y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )
y = [tex]\frac{a^2-ab}{a+1}[/tex]
how to solve an equation using quadratic formula
Answer:
[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies?
Answer:
Step-by-step explanation:
add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too
Answer:
Add up the 21 girls,
table B is out btw
Ik I'm late just want to help :)
Find the area of each figure
Answer:
54
Step-by-step explanation:
.5*9*12
Simplify please...Simplify Simplify
Answer:
See images.
Step-by-step explanation:
For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.
Answer:
Here are the answers.
Step-by-step explanation:
Draw the polygon with the given vertices in a coordinate plane.
(3,2),(4,7),(6,0)
I will give you brainlist if you draw it out too
PLEASE TYPE IN THE COORDINATES
Answer:
Step-by-step explanation:
cualquier es la siguiente expresiones equivalentes a(4x-5) (3x+7)
Answer:
21
Step-by-step explanation:
21jshe 21jjxjdjdbxhxbdhxbdh21
Please help Tysm!! <3
Answer:
68 homes
Step-by-step explanation:
1. First, let's set up a proportional relating the home to the # of hours.
[tex]\frac{17}{49} = \frac{x}{196}[/tex]2. Now, let's see if we can divide 196 by 49. If so, the quotient we get is the number we multiply 17 by to get x.
[tex]196/49 = 4[/tex] This means that we multiply 17 by 4 to get x.[tex]17 * 4 = 68[/tex]Therefore, the answer is 68 homes.
Which value is a solution to the inequality: 2(x-2)>14 *
-10
4
3
10
a2+b2=
What is the answer
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the distance in miles that the first
bicyclist rode if they are 3/2 miles apart after riding
for 1 hour at the same speed.
Answer:
Step-by-step explanation:
See attachment.
If both cyclists travel for the same time and speed, they will have travelled the same distance. Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle. Each leg has distance x. We can say x^2 + x^2 = (3[tex]\sqrt{2}[/tex])^2
2x^2 =1 8
x^2 = 9
x = 3
They both rode 3 miles.
16x2 + 81y2 + 32x + 648y + 16 = 0 write instandard form
Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
Answer:
send the graph and ill solve it
Step-by-step explanation: