Find the horizontal distance x the escalator covers to the nearest tenth of a foot.
Answers
Given:
Length of escalator = 26 ft
Angle of depression = 41 degrees
To find:
The horizontal distance x the escalator covers to the nearest tenth of a foot.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this formula for the given triangle, we get
[tex]\cos 41^\circ=\dfrac{x}{26}[/tex]
[tex]26\cos 41^\circ=x[/tex]
[tex]26(0.7547)=x[/tex]
[tex]19.6222=x[/tex]
Round the value to the nearest tenth.
[tex]x\approx 19.6[/tex]
Therefore, the escalator covers 19.6 ft horizontally.
Related Questions
A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6∙2x, where x is the time in weeks following the moment he dropped the fish into the pond. How many fish are in the pond after 3 months? (assume there are four weeks in a month) a. 48 b. 8, 916 c. 24,576 d. 72
Answers
The value of b that needs to be simplified is indicated as 1.43. The correct response when the new population growth is specified is A.
what is exponential function ?A mathematical function known as an exponential function has the following formula: f (x) = an x, where x is a variable and an is a constant known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by twofolds per hour. After x hours, there will be twice as many germs present as there were when you started with just one. The formula for this is f(x) = 2x.
Given that,
When a fisherman unlawfully releases some fish into a pond, they immediately multiply (reproduce). P(x) = 6bx, where x is the number of weeks that have passed since the moment the fish was placed into the pond, and b is an unknown positive base, serves as a model for the population expansion of the new species.
According to the question,
P(x) = 6bˣ
Put p(x) = 51 and x = 6
51 = 6b⁶
17/2 = b⁶
b = [17/2]¹/⁶
b = 1.43
The b value that must be simplified is given as 1.43. A is the proper answer.
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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3
Answers
Answer:
[tex]f(g(-3))=-25[/tex]
Step-by-step explanation:
[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]
Danielle earns $50 in wages per day and earns $5 commissions for every pair of shoes she sells. If she wishes to earn at least $120 in one day, how many pairs of shoes must she sells
Answers
Answer:
24 shoes.
Step-by-step explanation:
I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120
Answer:
She will have to sell 14 pairs of shoes
Step-by-step explanation:
120 minus 50 because that's what she make a day no matter what so that 70 then 70 divided by 5 that is 14.
The sum of three consecutive even integers is 168. Define an appropriate variable and write an equation that represents the statement. Solve to find the integers. Show all work and write a conclusion.
Answers
Answer:
a, a + 1, a + 2
55, 56. 57
Step-by-step explanation:
Let the integers be :
a, a + 1, a + 2 (consecutive integers)
Hence, sum of the integers equals 168
a + (a + 1) + (a + 2) = 168
a + a + 1 + a + 2 = 168
3a + 3 = 168
3a = 168 - 3
3a = 165
a = 165 / 3
a = 55
first integer, a = 55
Second, a +1 = 56
Third, a + 2 = 57
BRAINIEST TO WHOEVER RIGHT
Answers
310
232
196
428
are in order and all correct <3
Answer:
118, 310, 232, 196, 428
Step-by-step explanation:
-118 students HAVE set academic goals (64+54)
-310 students HAVE NOT set academic goals (168+142)
-232 MALES (64+168)
-196 FEMALES (54+142)
-428 WERE SURVEYED (196+232)
What is the area, in square meters, of the figure below?
Answers
Answer:
Their isn't a figure ???
Find the volume of the cone. Round your answer to the nearest tenth.
3 m
6 m
The volume of the cone is about
Answers
56.55
If you round that up it would be:
56.6
-Have a good day.
Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?
Answers
Answer:
1,520 pounds
Step-by-step explanation:
40x 38 = 1520
Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order. What is the probability that either the words BAD or CAB will appear as part of the row? Enter your answer as a percent, to the nearest tenth of a percent, like this: 42.5%
Answers
The probability that either the words BAD or CAB will appear as part of the row is 16.7%
How to determine the probability that either the words BAD or CAB?We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
In the second place, we can put one of 3 cards (because one card was taken in the first place).
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
4×3×2×1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear. We have:
BADC
CBAD
CABD
DCAB
That is 4 out of 24.
Thus, the probability that either the words BAD or CAB will appear as part of the row will be:
P(BAD or CAB) = 4/24 = 16.7%
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The probability is 16.7%
what is the surface area of this rectangular pyramid
Answers
Answer:
54 That Is how big it is
ur welcom
Bro it easy just look
Answers
Answer:
then answer it
Step-by-step explanation:
Answer:
4.5 inches long by 2.5 inches wide
Step-by-step explanation:
If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.
Hope this helps :)
(Brainliest, please? I only need one more to level up)
What is the answer for x+4.5≥5.5
Answers
Answer:
B. x ≥ 1
Step-by-step explanation:
Here’s the other one, i just need two more that i will be posting, ty your and amazing person
Answers
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-7, 0) & (-3, 0)
Axis of Symmetry: x = -5
Y-intercept: (0, -21)
Vertex: (-5, 4)
6ab + a(a – b – 6b) + 4a(2b +a) – ab , para a= -1 e b=2
ME AJUDEM! É URGENTE
Answers
Answer:
-81
Step-by-step explanation:
replace the numbers you were given in a or b.
so
6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12
what is -2/5 plus 4/3
Answers
The required solution to the given statement is 14/15.
What is the Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers.
A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5
The statement is given in the question below as:
-2/5 plus 4/3
Here "plus" represents the addition sign (+)
So, the algebraic form of the above statement will be as:
⇒ -2/5 + 4/3
Take the LCM between the fractions, we get
⇒ ( -6 + 20)/15
⇒ 14/15
This means 14/15 is obtained from -2/5 plus 4/3.
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Colin invests £3300 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
Answers
Answer:
Below
Step-by-step explanation:
3% = .03 in decimal 4 (yearly) periods
The effective interest and deposit amount after 3 years compounded yearly will be
3300 (1 +.03)^4 = £ 3714.18
What is the volume of a cylinder, in inches cubed, with a radius of 5 inches and a height of 5 inches? pls help
Answers
Answer:
V≈392.7in³
Step-by-step explanation:
there you go
pls mark brainliest
The Answer Is: 392.699.
What is the volume of the figure in terms of pi?
Answers
Answer:
1539.38
Step-by-step explanation:
this can be figured out as an entire cylinder and then take 1/2 of that
area of a circle of 7 cm
area = [tex]\pi[/tex][tex]7^{2}[/tex]
area = 153.938
volume = 153.938 * 20
volume = 3078.7608
and take 1/2 of that to find volume of the half cylinder
3078.7608 / 2 = 1539.38
Which point represents a number whose absolute value is 4?
please no links or files.
and if you were able to, could you please explain how? I’m not good at this :,)
Answers
Answer:
N
-4s absolute value or distance from 0 is 4
Step-by-step explanation:
as a example -8s absolute value is 8 , 10s absolute value is 10 basically just make the number positive then that is the absolute value.
Answer:
N
Step-by-step explanation:
how to explain but if any number is given in - the answer will be that numbers +(sorry if this doesn't make sense
Does 4 8 12 make triangles?
Answers
No, a triangle with side length 4 units, 8 units , and 12 units does not exist.
As given in the question,
Let us consider the triangle be ABC,
Side length of the triangle are given as follow:
AB = 4units
BC = 8units
CA = 12units
Triangle inequality for the given triangle ABC is given by:
AB + BC > CA
AB + CA > BC
CA + BC > AB
To check whether the given side length forms a triangle apply triangle inequality we get,
AB + BC
= ( 4 + 8 )units
= 12 units
= CA
Here triangle fails.
Therefore, the given side length does not forms a triangle.
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x + 2y = -18
-8x + 5y = -24
substitution method
Answers
To solve many simultaneous linear equations, use the substitution method in algebra.
What is substitution method ?The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.
The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.
There are three steps in the substitution technique:
For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.Therefore, the answer is x= -2 and y= -8.
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Step 1: Finding the part-to-part and part-to-whole ratios
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
a)What is the ratio of water to drink mix?
(b)What is the ratio of drink mix to water?
(c)What is the ratio of drink mix to mixed energy drink?
d)What is the ratio of water to mixed energy drink?
Answers
Answer: ummm B
Step-by-step explanation:
Answer: B
Step-by-step explanation: To make his special energy drink Jerome uses 8 cups of water and 3 cups of drink mix. So the ratio of drink mix to water is 3:8.
Please help me ASAP!!!
Answers
HEEEEEELLLLPPPPPPPPPPP!!!!!!!!!!!!!
Answers
What is the symbol for and in logic?
Answers
To see the table:
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
Now, According to the question:
Let's know:
Symbolic Logic:
Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.
Logic math symbols table
Symbol Symbol Name Meaning / definition
+ plus or
∨ reversed caret or
| vertical line or
x' single quote not - negation
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10
and DC = 4, what is the length of AD?
Answers
AC = 25 units is the length of AD.
A right triangle is divided into three equal halves by the height of the hypotenuseThe Geometric Mean (Altitude) Theorem (9.7) The hypotenuse of a right triangle is split into two pieces by the height from the right angle. The geometric mean of the lengths of the two hypotenuse segments determines how long the altitude is.
Length of BC = 10 units
Length of DC = 4 units
We will use geometric mean theorem in the given right triangle to get the length of side AC.
[tex]hypotenuse/leg=leg/projection\\AC/BC=BC/DC\\x/10=10/4\\x=25[/tex]
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PLEASEEE HELP ME!!!!
Answers
Answer:
girl I have the same question
PLZZZ HELP I WILL MARK YOU BRAINLIEST!!
A waitress kept track of whether her customers ordered an appetizer.
Answers
Answer:
D 10% of her customers ordered an appetizer and dessert
Step-by-step explanation:
3) Terri and her friends fly 2234 miles to Spain for college. It takes them 9 hours to get there.
How many miles did they travel per hour? Show your thinking.
Answers
Answer:
approximately 248 miles per hour if we are taking average speed
Step-by-step explanation:
A seventh grade class and 7 adults go on a field trip. Two-thirds of the people ride on a bus.
Everyone else rides in vans. If 54 people ride on the bus, how many seventh graders go on the
field trip?
Answers
54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.
what is expression ?A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.
given
To find P P, divide P
P by the total number of participants (students and chaperones), which is 81.
Seventh graders totaling 81 - 7 =
74 participated in the field trip.
54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.
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