the string, that supports the stairs, makes an angle of 50° with the floor. It reaches 3.2 m up the wall. How far is the base od the stringer from the wall?
Answers
The best way to do these problems is to draw a picture. In this case, you would have a right triangle. I included a picture.
If we use the 54 degree angles as our angle of reference, we are dealing with the opposite side and adjacent side. This makes it a tangent ratio.
We can set up the equation:
tan 54 = 3.2/x
1.19 = 3.2/x Cross Multiply
1.19x = 3.2 Divide by 1.19
x = 2.69
The base of the stringer is 2.69 m from the wall.
I hope this helps,
MrEQ
We use trigonometry to find the distance from the base of the string to the wall. The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. You can plug the given values into the rearranged formula and solve it.
Explanation:The question is asking about the distance from the base of the string (the part that touches the floor) to the wall. This is a typical trigonometry problem. We know that the string forms an angle of 50° with the floor and that it stretches up to 3.2 m on the wall. Given these values, we can use the cosine function to find the distance between the base of the string and the wall.
The cosine of an angle in a right triangle is defined as the adjacent side length divided by the length of the hypotenuse. In our case, you can think of the 3.2 m wall height as the 'adjacent' and the string length as the 'hypotenuse'. So, we can rearrange this relationship to solve for the base, or 'hypotenuse', of the triangle:
Length of string (hypotenuse) = Adjacent side / cos(angle)
Plugging in the values we know:
Length of string = 3.2 m / cos(50°)
After that, you can plug the numbers into a calculator to find the value in meters of the distance from the base of the string to the wall.
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Related Questions
PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? Please answer without using pi. Thank you
A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.
Answers
Given that the volume is 180 cubic inches
[tex] \frac{1}{3} \pi r^{2} h[/tex] = [tex]180[/tex]
Given that the radius is 6m
[tex] \frac{1}{3} \pi 6^{2} h[/tex] = [tex]180[/tex]
Evaluate
[tex] \frac{1}{3} \pi (36) h[/tex] = [tex]180[/tex]
[tex] 12\pi h[/tex] = [tex]180[/tex]
[tex] h[/tex] = [tex]180[/tex] ÷ ([tex] 12 \pi [/tex])
[tex] h[/tex] = 4.77 ≈ 5 inches (Answer A)
Option B.The height of a cone is 15 inches.
To find the height of the cone, we will use the formula for the volume of a cone:
V = (1/3) * π * r² * h
We know the volume (V) is 180 cubic inches and the radius (r) is 6 inches.
We need to solve for the height (h).
First, let's plug in the known values:
180 = (1/3) * π * (6)² * h
180 = (1/3) * π * 36 * h
540 = π * 36 * h
540 / 36π = h
We can simplify this further, h = 15/π. Since we do not use π for the answer:
By rational observation of given options, B. 15 in. seems accurate.
i need to find the area
there are 3 rectangles and a trapezoid
show how plz
Answers
20 x 5 = 100
100 yd²
15 x (20-14) = 90
90 yd²
14 x 10 = 140
140 yd²
The area of a trapezoid is 1/2(b1+b2)h
In this problem:
b1=25-15-5
b1=5
b2=10
h=20-14
h=6
We can then plug this into the formula:
A = 1/2(5+10)(6)
A = 1/2(15)(6)
A = 45 yd²
We can then get the area of the whole polygon by adding up the areas of the three rectangles and trapezoid:
A = 100+90+140 + 45
A = 375 yd²
A sign in front of a roller coaster says ''you must be 40 inches tall to ride'' what percentage of this height is A 34 inches and B 54 inches. Please answer both questions if you can.
Answers
34/40 x 100 = 85%
Percentage of B
54/40 x 100 = 135%
Ans: A) 85% B) 135%
Double a penny every day for 30 days. How many dollars do you have
Answers
If I have this correct it is just 2 pennies which is each one cent multiplied by 30
using the distributive property to find the product (y-4)(y^2+4y+16) results in a polynomial of the form y^3 + 4y^2 + ay - 4y^2 - ay - 64 what is the value of a in the polynomial
Answers
y^3+4y^2+16y-4y^2-16y-64=y^3+4y^2+ay-4y^2-ay-64
Comparing the coefficients: a=16
Answer: The value of a in the polynomial is 16
Answer:d
Step-by-step explanation:
The two triangles below are similar. Which pair are corresponding sides?
LN and MN
MN and QR
LM and QR
LM and PQ
Answers
Answer:
2) MN correspond to QR .
Step-by-step explanation:
Given : The two triangles below are similar.
To find : Which pair are corresponding sides
Solution : We have given that Triangle LMN is similar to triangle PQR.
Then Sides
MN correspond to QR .
Therefore, 2) MN correspond to QR .
PLEASE HELP!!!!
Beth’s final exam is worth 140 points. It consists of 40 questions. Each multiple choice question is worth 2 points, and each word problem is worth 5 points. How many of each kind of question are on the test?
Answers
What is the circumference of the circle? Round your answer to the nearest foot
Answers
Where "C" is circumference and "d" is diameter.
Substituting your values in, we have:
Which, when rounded, is 37.7.
thats my work but when you do your work for your question you get 78.58 and you would round to the nearset tenth and you get 78.5
Hope this helps:) please mark branliest would really apperciate it thx
Why do elephants have ivory tusks?
Answers
Elephants have ivory tusks, which are elongated incisor teeth, primarily for digging, stripping bark, and defense, and they may have evolved for sexual selection and competitive interactions among males.
Elephants have ivory tusks because they are actually elongated incisor teeth. These tusks are composed of dentine and are covered by a layer of enamel, just like our teeth. Elephants use their tusks for various purposes, such as digging for water, stripping bark from trees, and as a weapon for defense. However, the primary reason they have tusks is not entirely understood. It's believed that tusks might have evolved for sexual selection and display, as well as for competitive interactions among male elephants.
HELP ASAP!!!
1: What is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter
A: 50 m^2
B: 101 m^2
C: 201 m^2
D: 268 m^2
2: What is the volume of a sphere with a radius of 6 meters rounded to the nearest square meter?
A: 905 m^3
B: 679 m^3
C: 452 m^3
D: 226 m^3
Answers
the surface area of the sphere can be calculated using the following equation
Area = 4πr²
where r = radius
π = 3.142
radius of the sphere = 4 m
substituting radius in the area equation
Area = 4 x 3.142 x 4²
= 201.08 m²
when rounded off to nearest sq.meter , 201.08 ≈ 201
answer is C. 201 m²
Q2)
volume of the sphere can be calculated from the following equation
V = 4/3 πr³
radius of sphere = 6 m
π = 3.142
V = 4/3 x 3.142 x 6³
= 904.8 m³
rounded off to nearest sq. meter
904.8 ≈ 905 m³
correct answer is A
Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved.
A. How many quarters does Greg start with? Show or explain your work.
B. Write an equation to model the number of quarters Greg has saved, y, after x days.
C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.
Answers
Final answer:
Greg started with 20 quarters. The equation for the number of quarters saved after x days is y = 20 + 3x. With Greg's savings rate of 3 quarters per day, he cannot have exactly 100 quarters on any day since 100 is not a multiple of 3 plus the 20 starting quarters.
Explanation:
To determine how many quarters Greg started with, let 's' be the number quarters Greg started with, and 'd' be the number of quarters he saves each day. After 2 days, he had a total of 26 quarters saved, and after 5 days, he had a total of 35 quarters saved. These can be written as two equations:
s + 2d = 26s + 5d = 35Subtracting the first equation from the second gives:
3d = 9
From which we find that d = 3 (Greg saves 3 quarters a day). Plugging this value back into the first equation:
s + 2(3) = 26
s + 6 = 26
s = 20
Greg started with 20 quarters.
B. The equation to model the number of quarters Greg has saved, y, after x days is:
y = 20 + 3x
C. With the savings rate of 3 quarters a day, Greg's total will always be a multiple of 3 plus the 20 he started with. 100 is not a multiple of 3, meaning he can never save exactly 100 quarters by the end of any given day since 100 minus the 20 quarters he started with leaves 80, which is not divisible by 3.
Final answer:
Greg started with 20 quarters and saves 3 quarters every day afterward. The equation to model the number of quarters saved after x days is y = 20 + 3x. It is impossible for Greg to have exactly 100 quarters saved by the end of any given day because 100 cannot be reached by adding multiples of 3 to the starting amount of 20 quarters.
Explanation:
To solve for the number of quarters Greg started with and the number of quarters he saves each day, we can set up a system of equations. Let's designate q as the number of quarters Greg started with and d as the number of quarters he saves each day. From the problem, we have two points of data: On day 2, Greg has 26 quarters, and on day 5, he has 35 quarters.
The equations representing these two data points are:
q + 2d = 26q + 5d = 35Subtracting the first equation from the second gives us:
3d = 9
Dividing both sides by 3 gives us:
d = 3
Now that we have the value for d, we can substitute it back into the first equation:
q + 2(3) = 26
q + 6 = 26
Subtracting 6 from both sides gives us:
q = 20
Greg started with 20 quarters.
For the equation to model the number of quarters saved, y, after x days, we have:
y = q + dx
This simplifies to:
y = 20 + 3x
To address part C, let's analyze the possibility of Greg having exactly 100 quarters saved. If we set y to 100 in the equation y = 20 + 3x and solve for x, we get:
100 = 20 + 3x
80 = 3x
x = 80/3
x ≈ 26.67
Since x must be an integer because Greg cannot save a fraction of a day, he cannot have exactly 100 quarters by the end of any given day. This is because 100 is not a multiple of 3 (the daily amount Greg saves) when starting from 20. Thus, it's impossible for Greg to have exactly 100 quarters saved by the end of any given day.
the gift shop at a science museum sells lollipops that are made to look like the plants. Each lollipop is shaped like a sphere and has a radius of 12 mm
What is the volume of each lollipop?
Answers
The answer is 2304pi
The volume of the lollipop having the radius of 12 mm is 7241.14 [tex]mm^{3}[/tex].
What is volume?Volume is the capacity of a container to hold something in its capacity. Like a drum can hold water.
How to calculate the volume of lollipop?The radius is given as 12 mm. The lollipop is having shape of sphere. The formula of volume of sphere is 4/3π[tex]r^{3}[/tex].
Volume =4/3π[tex]r^{3}[/tex].
Volume of lollipop is 4/3π[tex]12^{3}[/tex]
=4/3*22/7*576
=(88*1728)/21
=152064/21
=7241.14[tex]mm^{3}[/tex].
Hence the volume of lollipop having radius of 12 mm is 7241.14[tex]mm^{3}[/tex].
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−2x+15y=−24
2x+9y=24
what do y and x equal?
Answers
Hope this helps
what is the answer to this question ?
Answers
So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.
G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.
H
180- (58 + 30) = 180 - (88) = 92
180 - (90 + 58) = 180 - 148 = 32
Not at all.
180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.
Smoked salmon is being sold for $15.50 per pound. What is the cost of 6 ounces of salmon?.
Answers
15.50 / 16 = 0.96875 per ounce
0.96875 * 6 = $5.81
The line plot shows the number of hours two groups of teens spent studying last week.
How does the data compare for the two groups of teens?
A)The range for the hours spent studying last week for the 13- to 15-year olds is the same as the range for the hours spent studying last week for the 16- to 18-year olds.
B)The median value for the hours spent studying last week for the 13- to 15-year olds is greater than the median value for the hours spent studying last week for the 16- to 18-year olds.
C)The mode for the hours spent studying last week for the 13- to 15-year olds is less than the mode for the hours spent studying last week for the 16- to 18-year olds.
D)The 13- to 15-year olds spent an average of 14 hours studying last week.
Answers
I took this test☺
Hope this helps if it did plz mark brainliest so I can help more people.☺
What is the average speed in miles per hour of a car that’s travels 956.4 miles in 15.9 hours? Round the answer to nearest tenth , explain step by step how to solve it
Answers
rounded = 60.2
Sarah folds this pattern into a square pyramid. What is the surface area of Sarah's pyramid?
A. 161 sq. Inches
B.224sq.inches
C. 112sq.inches
D.273sq.inches
I need the answer really fast gets a brain list plz
Answers
Which relationship describes angles 1 and 2?
Select each correct answer.
adjacent angles
vertical angles
complementary angles
supplementary angles
Answers
Convert 3 feet to inches.
A) 4 inches
B) 9 inches
C) 12 inches
D) 36 inches
Answers
3 feet x 12 inches = 36 inches
answer is D
3•12=36
D), there are 36 inches in 3 feet.
what is the answer to Divide 2800 by 10
Answers
When a number x is multiplied by 5, it gives the same result as when 48 are added to twice the number. Form an equation in terms of x. Hence, find the number x
Answers
-2x. -2x
3x=48
3. 3
x=16
Two cars are traveling along the same highway. The distance, d, in miles, from San Francisco after h hours spent driving is described for each car below.
Car A:
d = 60h + 20
Car B: h d
0 60
2 160
4 260
Select three statements that are true.
A.Car A is traveling at the same rate, in miles per hour, as Car B.
B.Car A is traveling at a faster rate, in miles per hour, than Car B.
C. Car A is traveling at a slower rate, in miles per hour, than Car B.
D.Car A is originally closer to San Francisco than Car B.
E .Car A is originally at the same distance from San Francisco as Car B.
F.Car A and Car B are at the same distance away from San Francisco after 4 hours.
Answers
Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.
Explanation:Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.
To determine which car is traveling faster at the checkpoint, we need to compare their velocities. Car A has a positive, constant acceleration, which means its velocity is increasing. Car B, on the other hand, travels at a constant speed, which means its velocity remains the same.
Therefore, Car A is traveling faster at the checkpoint than Car B.
is 2x-5y=0 a direct variation
Answers
Answer: Yes
what she got to school she saw that the school has nine buildings each Heaven 30 classrooms how many classrooms does the school have
Answers
Final answer:
To find the total number of classrooms in the school, we multiply the number of buildings (9) by the number of classrooms in each building (30), resulting in a total of 270 classrooms.
Explanation:
The question asks how many classrooms are there in total if a school has nine buildings, each with 30 classrooms. To find the answer, we need to multiply the number of buildings by the number of classrooms in each building. This calculation is straightforward:
Multiply the number of buildings (9) by the number of classrooms in each building (30).
This gives us: 9 buildings x 30 classrooms/building = 270 classrooms in total.
Therefore, the school has a total of 270 classrooms.
what value of c makes x^2 - 24x + c a perfect square trinomial?
Answers
The answer is 144
Answer:
Step-by-step explanation:
Quadratic equation is given by x²-24x+c
This is in the form expansion of (a-b)², that is a²-2ab+b²
Comparing
a² = x², a = x
-2ab = -24x
-2xb = -24x
b = 12
c = b² = 12² =144
x²-24x+144 = (x-12)²
Option D is the correct answer
What is the total cost or sale price to the nearest cent 20$ haircut; 15% tip
Answers
The answer is $23.00
i need this rotated 270 degrees clockwise
Answers
D(1, 2) ⇒ D'(-2, 1)
F(2, 3) ⇒ F'(-3, 2)
G(4, 1) ⇒ G'(-1, 4)
Cougar Park is shaped like a parallelogram and has an area of 1/10 square mile. It’s base is 3/8 mile. What is its height?
Answers
The formula for the area of a parallelogram is A=b*h. We plug in the information that we know and solve for the missing height.
[tex] \frac{1}{10}= \frac{3}{8}*h [/tex]
Multiply both sides by the reciprocal of 3/8 which is 8/3 so it is canceled on the right side.
[tex]\frac{8}{3}*\frac{1}{10}= h [/tex]
multiply the factions to get 8/30. 8 and 30 have common factors of 2 and can reduce to 4/15
107=5x+17 simplify your answer as much as possible
Answers
90divided 5=18
18*5=90+17=107
I did the work ♥♥♥♥
5*18=90
90+17=107