Answer:
4 ft higher
Step-by-step explanation:
Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.
So, by Pythagoras' theorem,
10² = 6² + d² (the length of the ladder is the hypotenuse side)
d² = 10² - 6²
d² = 100 - 36
d² = 64
d = √64
d = 8 ft
Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.
Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).
Now, applying Pythagoras' theorem to the ladder with these new lengths, we have
10² = (6 + x)² + (8 - 2x)²
Expanding the brackets, we have
100 = 36 + 12x + x² + 64 - 32x + 4x²
collecting like terms, we have
100 = 4x² + x² + 12x - 32x + 64 + 36
100 = 5x² - 20x + 100
Subtracting 100 from both sides, we have
100 - 100 = 5x² - 20x + 100 - 100
5x² - 20x = 0
Factorizing, we have
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0 or x = 4
The top of the ladder is thus 4 ft higher
What is the surface area of this rectangular pyramid?
3 cm
D
4 cm
4 cm
square centimeters
Submit
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hellllppppppppppppppppp
Answer:
Step-by-step explanation:
the third one
3. Using the equation: A= 10 • log B, if A = 180, solve for B.
PLEASE HELP GIVING BRAINLIEST
Answer:
B=10^18
Step-by-step explanation:
A=10*log(B)
180=10*log(B)
18=log(B)
10^18=10^log(B)
10^18=B
Therefore, B=10^18
What is the distance from Cto D?
Pls help!!
I will award Brainly!!
GUYS PLEASE HELP I LITERALLY CANT FIGURE IT OUT hwjbbbbbbbbbbbbaefyfawwciiinaaipwoefnc slkjf
Answer:
I think a and b are 0.0 im not 100% sure 0 cannot be divided but a+b/0+0=0 so i guess zero is your answer sorry if this doesn't help :(
Answer:
i think zero
Step-by-step explanation:
I'm gonna pack my things and leave you behind
This feeling's old and I know that I've made up my mind
I hope you feel what I felt when you shattered my soul
'Cause you were cool and I'm a fool
So please let me go
But I love you so (please let me go)
I love you so (please let me go)
I love you so (please let me go)
I love you so
find sin in the triangle
3/4
4/3
3/5
4/5
The Answer Is Sin(B)=4/5
[tex] \sin( \beta ) = \frac{opposite}{hypotenuse} [/tex]
Meaning, sin(B)=4/5
Answer:
4/5
Step-by-step explanation:
The angle you want to look at is the one given to you with the beta symbol. The trigonometric funtion sin mean opposite/hypotenuse. The side that is opposite is stright across from ∠β which would be 4. The hypothenuse is the largest side of the triangle or the "slanted side of the triangle." With that explanation, the hypotenuse is 5.
Zach is a member of the movie club.
How many movie tickets does Zach need to buy in order for the total cost of the tickets to be the same as the total cost for a nonmember?
A. 5
B. 7
C. 20
D. 40
Answer:
20
Step-by-step explanation:
HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry
Answer:
the attachment is not viewable
what does the picture represent?
Answer:
This is not a mathematics question. You should post this in History instead
Step-by-step explanation:
Answer:
During the civil war some tried to tear the country into 2, the north and the south. While the person on the middle is trying to keep the country together.
HELP! :))
If 35 liters of petrol cost $21.00, what is the price per liter?
Answer:
1.66$ per liter
Step-by-step explanation:
Hi there! I hope you're having a good day so far. :)
So this equation is quite simple. To write it out, you get:
35/21.00=?
All you need to do is get a calculator and put that in.
Then you will get 1.66666667, but to 'simplify' it, you just get 1.66 dollars per liter.
Therefore, the answer is 1.66$ per liter.
Helper's Message:
I hope this answer helped you! I wouldn't mind if you hit the 5-star rating or gave me a thank you. ☺️
-ChocoChocoCho
Solve 4 cos2x-3 = 0
4 cos x-3= for all real values of x.
i need to find the answer for this cause i'm doing work for math class
Answer:
See below
Step-by-step explanation:
Let's convert the two fractions.
The two categories are now closest to -0.6 and closest to 0.8.
Closest to -0.6 or -3/5: -0.2, -4/5,
Closest to 0.8 or 4/5: 0.6, 2/5
......help due in a minute
Answer:
The answer is ''C''
Hope this helps!! Have a great day! <3
Answer: D ( I really don’t have a good explanation for this question.)
What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2
Answer:
The first choice
Step-by-step explanation:
In the picture above, Goodluck.
Can someone help me out please I don’t get this
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71
Evaluate |─8| + |2|.
Answer:
10
Step-by-step explanation:
|-8| = 8
Answer:
10
Step-by-step explanation:
The absolute value is never negative and is shown by the vertical line.
|-8|=8 and |2|=2.
8+2=10
help me thank you !! :)))
Answer:
4^2+3^2=x^2
16+9=x^2
25=x^2
X=5
So the answer is 5
Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.
Answer:
10 more than the product of 3 and x
= 3x + 10
9 less than the quotient of n and 5
= n/5 - 9 (n divided by 5 minus nine)
8 times the product of 5 and t
= 8 x 5t
3 times the sum of x and 5
= 3 x (x + 5)
$6.00 entry fee plus $7.50/night of camping
= 6 + 7.5n
find the area and the circumference of the circle round your answers to the nearest hundredth
Answer:
Circumference= 50.27
Area= 201.06
Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
40%
Step-by-step explanation:
Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100
(32 / 80) x 100 = 40%
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer: 135
Step-by-step explanation:
it increased by 20%
so the 162 is 120% of the first price
so if we multiply 162 by 100/120 we will get the first price
100/120=5/6 and 5/6*162 is 135
I need help asap
PLEASE HELP
Answer:
f(2) = -3
f(0) = -5
f(-1) = -6
f(1) = -4
f(8) = 3
f(5) = 0
Step-by-step explanation:
us the f value and substitute for x.
1) f(1)= 1 - 5 = -4
2) f(-1) = -1 -5 = -6
3) f(2) = 2 - 5 = -3
4) f(0) = 0 - 5 = -5
5) f(5) = 5 - 5 = 0
6) f(8) = 8 - 5 = 3
then match the f value with the correct answer
You purchased a new car. The car had a list price of $41,070. You are paying 5.09% interest compounded monthly over a payment period of FIVE years. If you also had to pay 5.86% sales tax, a $384 vehicle registration fee, and an $89 documentation fee, what is your monthly payment?
Answer:
The monthly payment is approximately $2,356.89
Step-by-step explanation:
The list price of the car, P = $41,070
The interest rate payed, r = 5.09% compounded monthly
Therefore, the number of interest calculated per period, n = 1
The payment period, t = 5 years
The amount payed as sales tax = 5.86%
The amount paid as registration fee = $384
The amount paid as documentation fee = $89
The total amount to be paid, A = 41,070 + 41,070 × 0.0586 + 384 + 89 = 43,949.702
Therefore, the monthly payment, 'M', is given by the following formula;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \cdot t} }{\left(1+\dfrac{r}{n } \right)^{n \cdot t} - 1}[/tex]
Therefore, we get;
[tex]M = \dfrac{43,949.702\times \left(\dfrac{0.0509}{1} \right) \cdot \left(1+\dfrac{0.0509}{1} \right)^{1 \times 60} }{\left(1+\dfrac{0.0509}{1 } \right)^{1 \times 60} - 1} \approx 2,356.89[/tex]
The monthly payment, M ≈ $2,356.89.
PLEASE HELP ME IT’S DUE TODAY
Determine if each pair of triangles is similar. If they are similar, justify your answer.
Answer:
ummmm
Step-by-step explanation:
Answer:
No 4: the triangle are similar by congruency SAS(side angle side)
No 5: this is also similar by SAS
No 6: this is similar by AAS ( angle angle side)
No 7: this is similar by RHS ( right angle hypotenuse one side )
No 8: this pair of triangles are not similar
No 9: this is similar by SAS
No 10: this pair of triangles are similar by SAS ( side side side)
No 11: this triangle is similar by SSS
No 12: this triangle is similar by SSS
The following dot plot shows the mass, in kilograms, of each of the 46 kittens adopted from an animal shelter last month. Each dot represents a different kitten
Which of the following is a typical mass of one kitten?
Choose 1 answer:
A) 1.8
B)2.2
C)3.8
D)4.6
Answer:
It's A) 1.8
Step-by-step explanation:
The typical mass or most common mass among all given options is 1.8 kg thus option (A) is correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
As per the given frequency plot.
The most common mass is at 1.8 kg and in between 1.4 and 1.8.
So, (1.4 + 1.8)/2 = 1.6 kg (not available in options)
Thus, 1.8 kg will be the typical mass.
Hence "The typical mass or most common mass among all given options is 1.8 kg".
To learn more about the frequency table,
brainly.com/question/12576014
#SPJ2
PLEASE HELP! LINKS WILL BE REPORTED!
Answer:
its 125000
Step-by-step explanation:
so let's being with the fact the we have almost about 50 numbers and that there are 3 answers to it, so we do 50³=125000
Please help this is my 3rd time asking :(
Answer:
$6
Step-by-step explanation:
She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.
Hope that helps :)
Answer: $6 each
Step-by-step explanation:
14x+4=88
88-4=84
84/14=x
6=x
Round the greater number to the tens place. Then calculate the product.
64 x 3
O A. 72
B. 150
C. 180
D. 192
O E. 210
Answer:
d:192
Step-by-step explanation:
Directions: compute the answers to these problems. Write your answer on the line.
1. Sharmine works 30 hours at an exclusive restaurant. She earns $3.50 per hour plus tips. In one week she earned $1,250.00 in tips. What was Sharmine's total income?
2. Eldon helps people load their groceries into their cars at the grocery store. The grocery store pays him $5. 15 per hour. In one week he worked 38 hours and earned $425.00 in tips. What was his total income?
3. Cybil delivers food for an Asian carryout. She works 28 hours per week for $3.50 per hour. In a particular week she earned $240.00 in tips. What was her total income that week?
4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $25, $10, $15, 25,$10, $15, $22, $18, $15, $20, #20. What did he earn that week?
5.Lucinda is a baby sitter. Her hourly rate is $5.00. In one week she baby sat 13 hours and received tips of $14.50. How much did she earn?
6. Martin is a hair stylist. He averages a weekly wage of $240 and usually gets another $356 in tips. What is his average total income?
7. Ansel is a maid at the hotel. He receives tips from the guests at the ends of their stay. One week he earned $452.67 in tips and $5.23 per hour for 40 hours. What did he earn?
Please help me out, my hw is due tomorrow.
Answer:
Give me 5 minutes
Step-by-step explanation: