Answer:
The length is approximately 103.92 ft
Step-by-step explanation:
The angle the given ladder makes with the ground = 60°
The height to which the ladder reaches. h = 90 ft.
Assumption;
The angle formed between the wall and ground = 90°
The shape formed by the length, l, of the ladder the height to which the ladder reaches on the wall, h, and the ground, b, is a right triangle, with the length, l, of the ladder facing the 90° angle and the height, h, facing the 60° angle.
By sine rule, we have;
l/sin(90°) = h/sin(60°)
Therefore, the length l = sin(90°) × h/sin(60°) = 1 × 90/(sin(60°)) = 90/((√3)/2) = 2 × 90/√3 ≈ 103.92
The length, l ≈ 103.92 ft.
15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?
Answer:
$120000Step-by-step explanation:
"15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?"
the expression for compound interest is given as
A=P(1+r)^t
given data
Principal P=$25000
rate r=4%= 0.04
time t= 4years
Substituting into the expression we have
A=P(1+r)^t
A=25000(1+0.04)^4
A=25000(1.04)^4
A=25000x4.80
A=$120000
The total amount of loan after 4 years is $120000
HEEEEEEEEEEEEEEELP ASAP
Answer:
X=11
Step-by-step explanation:
Vertical angles equal each other.
5x+10 = 7x -12
Then solve for x by placing all the X values on one side and the number values on the other side.
5x+10=7x-12
5x-7x=-12-10
-2x=-22
x=11
Mayzie and Madison are playing games at Dave and Buster’s. Mayzie started with $15 and the video game she is playing costs $.75 per game. Madison started with $13 and her video game costs $.50 per game. After how many games will the two girls have the same amount of money remaining?
Answer:
Mayzle at 8th game and madison at the 12th game
Please answer I will give you the crown
Answer:
-6x - 9[tex]-9(\frac{2}{3}x) - 9(1)[/tex]I hope this helps!
Answer:
B and F
Step-by-step explanation:
B. I used the distributive property and distributed an -9 into both of the values so:
-9(2/3x+1) = -9(2/3x) - (9)(1)
D. You can simplify the equation above so:
-9(2/3x) - (9)(1)
-6x - 9
PLEASE ILL MARK WHAT U WANT!
Convert the equation to standard form 2x=5/3y-4
Answer:
[tex]y=\frac{6}{5}x+\frac{12}{5}[/tex]
Step-by-step explanation:
[tex]2x=\frac{5}{3}y-4\\2x+4=\frac{5}{3} y\\6x+12=5y\\\frac{6}{5} x+\frac{12}{5} =y\\y=\frac{6}{5}x+\frac{12}{5}[/tex]
A man has 1/3 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
1/12 of a kilogram
ASAP ASAP ASAP
please help me
Answer:
35
5x7=35
Can I be brainliest plzzz
Answer:
5*7=35 so the area is 35 sq in.
Step-by-step explanation:
At Manzana Grocery Store, apples cost $2.80 per pound. Maricela bought 2.7 pounds of apples. How much did she pay for the apples?
Answer:
7.56
Step-by-step explanation:
Yo Wassup? >:D
You answer is $6.00!
Hopefully this helps! :D
Factor 3x + 11y. If the expression cannot be factored, write cannot be factored
Answer:
cannot be factored
Step-by-step explanation:
11y and 3d are not divisible
The given expression 3x + 11y can not be factored.
What is factorization?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15 and is a factorization of the polynomial x² – 4.
To factor the expression it should have a degree of 2. So that we can split it into two parts called a factor.
The given expression is 3x + 11y. The expression can not be factored in because of having a degree of 1.
Therefore, the given expression 3x + 11y can not be factored.
To know more about factorization follow
https://brainly.com/question/25829061
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Find the value of x and y
What is the relationship between the slopes of two perpendicular lines?
relation between two slopes of two perpendicular line are equal.
The relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1.
What are perpendicular lines?Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. When two lines cross at a straight angle, they are said to be perpendicular.
The relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1. Therefore, assuming that there are two lines that are perpendicular to each other such that the slope of the two lines is m₁ and m₂. Therefore, we can write the relation as,
m₁ × m₂ = -1
Hence, the relationship between the slopes of two perpendicular lines is that the product of the slopes of the two lines is equal to -1.
Learn more about Perpendicular lines here:
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The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variable n represents the number of items sold, and the variable d represents the total amount of money earned.
What is the number of items Kathryn must sell in order to earn $500?
(A)10
(B)17
(C)21
(D)23
The utility company made a mistake on Ian’s electric bill. The company has agreed to credit Ian’s account for five transactions, each worth $4.50. What will the net change to Ian’s account be after the utility company lives up to the agreement? plz help lol i can give u way more points
Answer:
22.50 would be the next change
Step-by-step explanation:
Answer:
22.50 would be the answer!
Step-by-step explanation:
Given these segments lengths,will you be able to create a triangle? 8cm,8cm,16cm
Answer:
no
thats just the answer "NO"
PLZ HELP ME HELP ME PLZ ANYONE
Answer:
It costs $36.97 to fill the car's gas tank.
Step-by-step explanation:
There are approximately 10.6 gallons in 40 liters. Therefore, 10.6 multiplied by the cost of per gallon ($3.499) is equal to about $36.97.
How do I solve tan(60)=6/x
Answer:
3.5
Step-by-step explanation:
tan60=6/x
cross multiply
tan60x=6
1.732x=6
divide both sides by 1.732
1.732x/1.732=6/1.732
x=3.464 approximately 3.5
Answer:
tan(60)=6/x
tan(60)=6/x,x ≠ 0
tan(60)×x=6
x 6/tan(60) , x ≠ 0
x= 6/tan(60)
When Marcus weighs himself at home, he weighs 179 lbs. When he weighs himself on a metric scale, he weighs 81.4 kg. Assuming that each scale is accurate, 1 kg = ______ lbs ?
Answer:
2.199 lbs
Step-by-step explanation:
We can divide 179 by 81.4 to get how many pounds there are per kilogram. When we do this, we get 2.19 pounds per kilogram. We know this because we divided both sides by 81.4 as shown here:
81.4kg = 179lbs
/ /
81.4 81.4
1kg = 2.199 lbs
Answer
Step-by-step explanation:
please helpppppppppp me
Answer:
y = 15x
Step-by-step explanation:
A water park sold 39 child tickets and 36 adult tickets. What percentage of the tickets sold were child tickets?
Answer:
39 / 36 = 108.333333333333%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
39/36
The number above the bar is the numerator: 39
The number below the bar is the denominator: 36
Divide the numerator by the denominator to get fraction's value:
Val = 39 ÷ 36
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
Calculate fraction's value.
Divide the numerator by the denominator to get fraction's value:
39/36 =
39 ÷ 36 ≈
1.083333333333333
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
Calculate the percent value:
1.083333333333333 =
1.083333333333333 × 100/100 =
(1.083333333333333 × 100)/100 ≈
108.333333333333/100 =
108.333333333333% ≈
108.33%;
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Answer:
:: written in two ways ::
Rounded to 12 decimals:
39/36 ≈ 108.333333333333%
Rounded to maximum 2 decimals:
39/36 ≈ 108.33%
i hope this helped:))
como se escribe 5.252525... como un numero mixto
Answer:
no te entiendo????
Step-by-step explanation:
How can you solve this step by step
7x + 3x - 18 = 6(x + 3) ?
Help please!
helpp ill mark u as brain list
Answer:
the answer is D
hopefully, itś right
The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden.
Answer: width = 27.5 feet and length = 92.5 feet
Step-by-step explanation:
Let width = x, then length = 3x+10
Perimeter of rectangle = 2 (length +width)
Given: Perimeter of the garden = 240 feet.
Then, [tex]2 (x+3x+10)=240[/tex]
[tex]\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5[/tex]
i.e. width = 27.5 feet
Then, length = 3(27.5)+10= 82.5+10=92.5 feet
Hence, width = 27.5 feet and length = 92.5 feet
solve the problem cos15
Answer:
-.759
Step-by-step explanation:
point a and b are plotted on the coordinate grid below
Don’t just calculate it please answer for the boxes will give brainliest if i can.
f(x) = 2x + 5
f(-1) = 2(-1) + 5
f(-1) = -2 + 5
f(-1) = 3
f(2) = 2(2) + 5
f(2) = 4 + 5
f(2) = 9
f(0) = 2(0) + 5
f(0) = 0 + 5
f(0) = 5
f(z) = 2(z) + 5
f(z) = 2z + 5
want to know what 6*500 is
Answer:3000
Step-by-step explanation:
Point B (−6,3) is reflected across the line y = x. What are the coordinates of the image B′?
The coordinates of the image B′ are (
A ,
B ).
Answer:
B'(3, -6)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of a point over the line of reflection. If a point X(x, y) is reflected across the line y = x, the new location is at X'(y, x).
If point B(-6, 3) is reflected over line y = x, the new location is B'(3, -6).
7x-6- 1/4 {8x-12}=22
Answer: 90
Step-by-step explanation:
$25,405.56-$7,983.12
Answer:
the answer is 17 422.44 US$
Step-by-step explanation:
Answer:
17,467.44
Step-by-step explanation: