The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
[tex](40)^2=(8)^2+(h)^2[/tex]
[tex]1600=64+h^2[/tex]
[tex]1600-64=h^2[/tex]
[tex]1536=h^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{1536}=h[/tex]
[tex]\pm 39.1918358=h[/tex]
Height cannot be negative. Round to the nearest foot.
[tex]h\approx 39[/tex]
Therefore, the height of the ladder on the wall is 39 foot.
How is solving inequalities with multiplication and division similar to solving equations with multiplication and division?
Answer:
The process is the same. They just have different symbols.
Step-by-step explanation:
determine this systems of equations no solution, one solution, infinitely many solutions
y=5x-20
4x+12=y
Answer:
one solution
Step-by-step explanation:
Which of the following is a solution to this inquality
Answer:
(0,-2)
Step-by-step explanation:
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
Please help please please help me please please
Answer:
8.88
Step-by-step explanation:
With reference angle 42°
hypotenuse (h) = 12
base (b) = x
Now
cos 42° = b / h
0.74 = x / 12
x = 0.74 * 12
x = 8.88
Answer:
the answer is 48 I think
Step-by-step explanation:
I did it by sub 90 and 42
A cable company charges 150 to install equipment. Then there is a $50 charge each month. Write an equation to express this relationship
At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
Answer:
12.50
Step-by-step explanation:
Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.
6th grade math help me plzzz :))
Answer:
75%
Step-by-step explanation:
So i know that 5$ = 25%
So if i go up 3 times i get 15$ so that means you do 25% x 3 to get 75%
If y = x + 5 and x = 3, then y = what?
y=8
Step-by-step explanation:
y=x+5 x=3
y=3+5
therefore
y=8
34) Which temperature is colder? -16 degrees or -32 degrees
Answer:
-32 is colder
Answer:
-32 degrees? i believe so
Have A Wonderful Day !!
Jessica is packing books for her move She has 93 books. Each box can fit 6 books. How many boxes does she need to move all of her books? (Long division please)
Answer:
16
Step-by-step explanation:
93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books
Answer:
She will need 16 boxes with space for 3 more books
Step-by-step explanation:
Find the exact length of the third side
Answer:
9.9
Step-by-step explanation:
And I also don’t know how to do this.
C is the answer because i did this and it not that hard if you let the teacher explain to u
Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost for the computer including tax?
Answer:
t=$1627.5Step-by-step explanation:
Step one:
given data
price of computer= $1500
sales tax= 8.5%
Step two
Let us compute the amount in tax
tax= 8.5/100*1500
=0.085*1500
=$127.5
Let the total cost be t
hence
t=1500+0.085*1500
t=1500+127.5
t=$1627.5
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
Answer:
19050 or some other number very close like 19039
Step-by-step explanation:
I took test and got this one right.
Answer:
the guys above :)
Step-by-step explanation:
give him brainliest if you have not :)
worth 10 points ! need help asap
Which shows the given inequalities in slope-intercept
form?
Answer:
second option
Step-by-step explanation:
You want to isolate the 'y' in each inequality:
4x - 5y ≤ 1
-5y ≤ -4x + 1
y ≥ 4/5x - 1/5 (inequality symbol changed because we divided by a negative)
1/2y - x ≤ 3
y - 2x ≤ 6 we multipled the original inequality by 2 to eliminate the denom.
y ≤ 2x + 6
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved
Answer:
Sightseeing
Step-by-step explanation:
The inverse of f (x)=x^2-3 is?
Answer:
[tex]f^{-1}[/tex](x)=[tex]\sqrt{x+3}[/tex] , - [tex]\sqrt{x+3}[/tex]
Step-by-step explanation:
-7 2/3+ (-5 1/2) + 8 3/4
=
Answer:
-4 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
-4.41666666667
determine the values of X for which g(x) is defined
this is a question from me to you not an answer sorry what class are you taking
What is the value of x when 9( x - 9)= -11
Answer:
x = 70/9
Step-by-step explanation:
9x - 81 = -11
move it to the right
9x = -11 +81
calculate
9x = 70
divide both sides
x = 70/9
What fraction is equivalent to -3/2
Answer:
8/12
Step-by-step explanation:
Hope it’s right
can some please helppp
Answer:
8
Step-by-step explanation:
How much money she owe her plz help
Write an equation of the line with a slope of -4 and a y-intercept of 2.
Answer:
Step-by-step explanation:
-4 x y-= 2
can a triangle be made with side lengths of 1, 2, and 4 plsss
NO IT CANNOT BE MADE
Step-by-step explanation:
Since, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A moving company offers two price plans,
• The first plan charges a flat rate of $39.95 plus $0.12 per mile driven,
• The second plans charges a flat rate of $19.95 plus $0.28 per mile driven
How many miles must the truck be driven for the two plans to cost the same?
6th grade math help me plzzzz
Answer:
-0.9
Step-by-step explanation:
First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1
Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,
-1t = 0.9.
Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.