A ladder is leaning against the top of
a building. If the ladder is 12.5 m long and
3m from the base of the building, what is
the angle of elevation from the ladder to
the top of the building?
Answers
Answer:
Step-by-step explanation:
Discussion
You are working with the Cosine of the angle.
Hypotenuse = 12.5
Base = 3
Theta = ?
Solution
Cos(theta) = base / hypotenuse Substitute values
Cos(theta) = 3 / 12.5 Divide
Cos(theta) = 0.24 Tale the inverse cos
theta = cos-1(0.24)
theta = 76.11 degrees
Work Shown:
Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.
Related Questions
Nicole made 36 out of 48 shots she attempted at basketball practice. What
percent of the shots did she miss?
Answers
Answer:
75%
Step-by-step explanation:
Put the number of shots she made as to the numerator and the shots there were as the denominator: 36/48
We must reduce this fraction to the lowest terms.
36/48 ÷ 12/12 = 3/4
3/4 as a percent is the same as 75/100 or 75%
Answer: 75%
Answer:
She had missed 75%
Step-by-step explanation:
36/48 shots is equal to 75/100
which equals 75%
What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?
0 -8
-4
O 33
049
Answers
Answer:
Y value is 33
Step-by-step explanation:
Y intercept is 33 because y intercepts are (0,33)
Each of four circles has a radius of 4 inches. A larger circle has an area equal to the total area of the four smaller circles. What is the length of the radius, in inches, of the larger circle?
Answers
The radius of the larger circle is 8 inches
What is a circle?A circle is a round plane shape, whose circumference consists of points equidistant from a fixed point.
To calculate the radius of the larger circle, we use the formula below.
Formula:
A = 4A'............. Equation 1Where:
A = Area of the larger circleA' = Area of the smaller circle.But,
A = πR².............. Equation 2A' = πr²........... Equation 3Where:
R = Radius of the larger circler = radius of the smaller circle.Substitute equations 2 and 3 into equation 1
πR² = 4πr²R² = 4r²R = 2r .............. Equation 4Given:
r = 4 inchesSubstitute this value into equation 4
R = 2×4R = 8 inchesHence, The radius of the larger circle is 8 inches.
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5. The temperature is 8 degrees. It is expected to fall 5 degrees each hour for the next
several hours. In how many hours will the temperature be-7
degrees?
Answers
Answer:
3 hours
Step-by-step explanation:
We can set up an equation and solve. Let x be hours that have passed, the answer to our question.
-7 = 8 -5x - Created equation
-15 = -5x - Subtract -8 from both sides
3 = x - Divide both sides of the equation by -5
In 3 hours the temperature will be -7°.
Answer:
-7°
Step-by-step explanation:
after 1 hr temp = 3°
after 2 hrs = -2°
after 3 hrs = -7°
The amount of money Patricia makes in a day is directly proportional to the number of hours she works. This relationship is modeled in the graph below. If Sheryl works 5 hours a day, she makes approximately:
$60
$70
$55
$65
Can someone please answer!
Answers
Answer:
answer is $65
Step-by-step explanation:
hope it helps
i need help please i cant afford to fail again
Answers
Answer:
k = 105
Step-by-step explanation:
3k-8 = k +202
3k - k = 202+8
2k = 210
k = 210/2
k=105
A bear is applying force on a tree by rubbing its back on it. The strength of the force is 25 Newtons, and the direction is 35 degrees to the east from the northward direction relative to the tree.
Answers
The force of 25 Newtons and direction of 35 degrees to the east from
the northward direction can be represented by vectors [tex]\underline{\vec{a} \ and \ \vec c}[/tex].
How can the correct vectors be found?
The given parameters are;
The force applied by the bear = 25 Newtons
The direction the bear pulls the tree = 35°
Required:
The vectors that can represent the force the bear applies to the tree.
Solution:
The vector can be represented by a straight line with an arrow that
points at an angle of 35° relative to the north.
Therefore;
The vectors that can represent the force are;
Vectors [tex]\vec{a}[/tex] and vector [tex]\vec {c}[/tex]Learn mote about vectors here:
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Answer:
vectors a and c
Step-by-step explanation:
khan academy
Say that Romania puts a tariff of 6% on its exports and 21% on its imports. If Romania has a trade deficit of (equivalent US dollars) $26. 76 billion and gained tariff revenue of $18. 9603 billion, how much are Romania’s imports worth? a. $62. 56 billion b. $64. 29 billion c. $76. 17 billion d. $97. 04 billion.
Answers
Answer:
c. $76.17 billion
Step-by-step explanation:
The relations between imports, exports, and tariffs can be described by ...
0.06E +0.21I = $18.9603 . . . . . . total tariff revenue
I -E = 26.76 . . . . . . . . . . . . . . . . trade deficit
Solving the second equation for E gives ...
E = I -26.76
Substituting into the first equation yields ...
0.06(I -26.76) +0.21I = 18.9603
0.27I = 18.9603 +1.6056 = 20.5659 . . . . add 1.6056 to both sides
I = 10.5659/0.27 = 76.17
Romania's imports are worth about $76.17 billion.
_____
Additional comment
The exports are worth about $76.17 -26.76 = $49.41 billion.
The scale factor of square W XYZ to square ABCD is 2:3. The perimeter of square ABCD is 36 ft.
What is the perimeter of square W XYZ?
Answers
Answer: 24 ft
Step-by-step explanation:
Members of a lacrosse team raised $1670.50 to go to a tournament. They rented a bus
for $1013.50 and budgeted $54.75 per player for meals. Determine the number of
players the team can bring to the tournament.
Answers
Answer:
12 players
Step-by-step explanation:
1670.5-1013.5 = 657
657/54.75 = 12
so 12 players
Two or more expressions with an Equal sign is called as Equation. 12 players the team can bring to the tournament.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Members of a lacrosse team raised $1670.50 to go to a tournament.
The rent of the bus is $1013.50.
Now we need to find the left out fund after removing the rent of bus.
so one thousand six hundred and seventy point five minus one thousand and thirteen point five equal to six hundred and fifty seven.
1670.5-1013.5 = $657
The budget for each meal of player is $54.75.
Divide $657 by $54.75. to get the number of players.
657/54.75 = 12.
Hence 12 players the team can bring to the tournament.
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james has downloaded 15 songs on his cellphone. how many diffrent ways can he play 5 songs
Answers
devide 15 by 5 it will be 3
A new car is purchased for 19900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car br, to the nearest cent, after 8 years?
Answers
Answer:
10,665.64
Step-by-step explanation:
Exponential Functions:
y=ab^x
A= starting value = 19900
r=rate = 7.5%=0.075
Exponential Decay:
b=1-r=1-0.075=0.925
Write Exponential Function:
y=19900(0.925)^x
Plug in time for x:
y=19900(0.925)^8
y= 10665.6404317
Evaluate
y≈10665.64
judy is twice as old as adaml, but 6 years ago she was 5 times as old as he was. How old is judy now
Answers
Answer:
16
Step-by-step explanation:
Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...
(J -6) = 5(J/2 -6)
J -6 = 2.5J -30
24 = 1.5J
16 = J
Judy is now 16 years old.
__
Additional comment
Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.
Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...
2(a+6) = 5a +6
6 = 3a . . . . . . . . . simplify, subtract 2a+6
2 = a ⇒ 5a+6 = 16
Julio spent $52.43 on batteries. If they cost $7.49/pack, what equation would depict the
scenario?
A) 7.49p = 52.43
B) p/7.49 = 52.43
C) 52.43p = 7.49
D) p/52.43 = 7.49
NEED THE ANSWER ASAP
Answers
Accompany manufacturers headbands a wireless activity tracker there are initial start up costs involved additionally the company spends a certain amount of money to manufacture each hand band cost of manufacturing H and bands is given by the function C(h)=21H +15,000 which of the following statements are true check all that apply
Answers
Using linear function concepts, it is found that the correct statements are given by:
The value of 15000 represents the start-up cost.The company spends $57,000 to manufacture 2000 headbands.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and it can also be interpreted as the initial value.In this problem, the cost of manufacturing H headbands is given by:
[tex]C(h) = 21h + 15000[/tex]
The y-intercept is of 15000, which means that the value of 15000 represents the start-up cost.
Manufacturing 2000 headbands, the cost is of:
[tex]C(2000) = 21(2000) + 15000 = 57000[/tex]
Hence, the company spends $57,000 to manufacture 2000 headbands.
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00 which statement best describes the
solutions to the scenario above?
A) Potrick con eat out only 1 time per week.
B Potick can eat out e'ther 1 or 2 times per week.
© Patrick con eat out 1, 2 or 3 times per week.
D) Potrick con cot Out 1, 2, 3, or times per week.
a 20/20 The Marn Cafe
Answers
Answer: D) Potrick con cot Out 1, 2, 3, or times per week.
(hope this helps!)
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49.
How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answers
Answer:
He walked 5 small dogs and 3 large dogs.
Step-by-step explanation:
We'll represent the number of small dogs Ryan walked 'x,' and the number of large dogs Ryan walked '8-x.'
49 = 5x + 8(8-x)
x=5
8-5=3
Therefore, Ryan walked 5 small dogs and 3 large dogs.
I hope this helps! ^-^
Factorize the expression
5ax + 25ay
Answers
Answer:
5a ( x + 5y )
Step-by-step explanation:
→Find a common factor of 5 and 25
5
→ Now factorise
5a ( x + 5y )
The value of the equation is A = 5a ( x + 5y )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5ax + 25ay be equation (1)
On simplifying the equation , we get
On factorizing the equation by taking the common factor as 5a , we get
A = 5a ( x + 5y )
Therefore , the value of A is 5a ( x + 5y )
Hence , the equation is A = 5a ( x + 5y )
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Guys this is legit due tonight please answer!!!!
Answers
Answer: do this
1/3+-x/4=7/12
Step-by-step explanation:
4.1/3/4+-x/4=7/12
Whats 30.4/15 as a mixed number?
Answers
Answer:
19.3 + n = 30.4
Step-by-step explanation:
hope this helps :)
Answer:
30.4/15 = 2 2/75
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 30.4 by 15 and keep only what is to the left of the decimal point:
30.4 / 15 = 2.026666667 = 2
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
30.4- (15 x 2) = 0.4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 30.4/15 as a mixed number is:
2 0.4/15 = 2 2/75
MATHHHHHHH 7! Help mr
Answers
help me with both please
Answers
Answer:
u r m o m
Step-by-step explanation:
pleasseee hellpp I'm confused
Answers
Answer:
the answer is c
pls mark brainliest
Answer:
the picture is not clear
The square and triangle shown below have the same perimeter. What is the perimeter of the triangle?
Answers
Answer: 48
Step-by-step explanation:
fint the y derivative of y²=tan(xy)
Answers
Answer:
x*sec^2*(xy)
Step-by-step explanation:
isolate y and you get x*sec^2*(xy)
help me pleaseeeeeeeeee
Answers
Answer:
x=25
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of x. We know that the Pythagorean Theorem says that a²+b²=c². We can substitute the values 20, 15, and x into the equation.
20²+15²=x²
Simplify.
400+225=x²
Add.
625=x²
Find the square root of both sides to solve the equation.
√625=√x²
25=x
Note:
To make the symbol ², hold the alt button on your keyboard and press 0178 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). It MUST be on the numberpad to work! To make the symbol √, hold the alt button on your keyboard and press 251 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). Again, it MUST be on the numberpad to work!
Another note:
Please like this if it was helpful! If you're a Connexus student, join my class using this link: https: // quizlet. com /join /6nmuZyd2M (take out all spaces)
A line is drawn on a coordinate grid by the equation y = 1. Which of the following lines would represent a row perpendicular to it?
A. a line containing the point (5,2)
B. y = 1
C. x = 4
D. y = 3
Answers
Answer:
C
Step-by-step explanation:
In the Cartesian coordinate system, a line perpendicular to the line that's across the Y axis is a row across the X axis. You see Y=1 is the line across Y axis, so we need a row that's across the X axis. So C. X=4 is the ideal choice.
If a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
A line is drawn on a coordinate grid by the equation y = 1.
The equation y = 1 represents a horizontal line on the coordinate grid, passing through all the points where y-coordinate is 1.
A line that is perpendicular to a horizontal line is a vertical line.
The vertical line x = 4 passes through all the points where x-coordinate is 4, and is perpendicular to the horizontal line y = 1.
Hence, if a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.
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Solve the following system of equations.
Answers
Answer:
x= 0, y= -15
Step-by-step explanation:
Start by labelling the 2 given equations.
y= -2x -15 -----(1)
y= -15 +3x
y= 3x -15 -----(2)
Substitute (1) into (2):
-2x -15= 3x -15
3x +2x= -15 +15
5x= 0
Divide both sides by 5;
x= 0
Substitute x= 0 into (2):
y= 3(0) -15
y= -15
Answer:
Let eqn 1 be y = -2x -15
and Eqn2 be y-3x =-15
Substitute Eqn 1 into Eqn 2
where -2x-15-3x = -15
-5x = 0
X is 0
from Eqn1 the value of y Will be
-2(0) - 15
Value of y is -15
Therefore (X,y) = (0, -15)
It takes 1/8 of a roll of wrapping paper to completely cover all 6 sides of a small box that is shaped like a rectangular prism. The box has a volume of 10 cubic inches. Suppose the dimensions of the box are tripled. How many rolls of wrapping paper will it take to cover all 6 sides of the new box? What is the volume of the new box?
Answers
a. The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
b. The volume of the new rectangular box is 270 in³
Area of rectangular prism
Since the small box is a rectangular prism, its surface area, A = 2(lb + lh + bh) where
l = length, b = width and h = height.Now, when the dimensions are tripled, its new area is A' = 2(LB + LH + BH) where
L = 3l, B = 3b and H = 3h.So, A' = 2(LB + LH + BH)
= 2((3l)(3b) + (3l)(3h) + (3b)(3h))
= 2(3)(3)(lb + lh + bh)
= 18A
a. Number of rolls of wrapping paperThe number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
Now, since we require 1/8 of a roll of wrapping paper to initially cover all 6 sides of the small box with dimensions, l,b and h. Then the number of rolls we require to cover the box when its dimensions are tripled are (since the area is proportional to the number of rolls)
N = 18 × 1/8
= 18/8
= 9/4
= 2¹/₄ rolls
The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls
b. Volume of the new rectangular box
The volume of the new rectangular box is 270 in³
The volume of the rectangular box V = lbh where
l = length, b = width and h = heightWhen the dimensions are tripled, V' = LBH where
L = 3l, B = 3b and H = 3h.So, V' = LBH
= (3l)(3b)(3h)
= 27lbh
= 27V
Now since the initial volume of the rectangular box, V = 10 in³
V' = 27V
V' = 27 × 10 in³
V' = 270 in³
So, the volume of the new rectangular box is 270 in³
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Translate the phrase into an algebraic expression: k dollars per 28 bottles.
Answers
Answer:
this means each bottle will cost 28 dollars so
28k also 28*k
Hope This Helps!!!
The expression in the mathematical form will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Translate the phrase into an algebraic expression: k dollars per 28 bottles.
Then the division of the numbers k and 28 will be given by putting a division sign between them. Then we have
⇒ k ÷ 28
⇒ k / 28
The expression in the mathematical form will be 17 / 3.
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