Question #7
Correct answer is B
Explain or show steps
Refer to the diagram below. We have the following points
A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the personThe shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.
Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x
AD/BE = AC/BC
15/6 = (x+y)/y
15y = 6(x+y)
15y = 6x+6y
15y-6y = 6x
9y = 6x
y = 6x/9
y = 2x/3
y = (2/3)*x
The length of the shadow is 2/3 that of the distance from the person to the lamp.
Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.
y = (2/3)x
dy/dt = d/dt[ (2/3)x ]
dy/dt = (2/3)*d/dt[ x ]
dy/dt = (2/3)*dx/dt
dy/dt = (2/3)*4
dy/dt = 2.667
The rate in which the shadow is lengthening is approximately 2.667 ft per second.
Make r the subject of x= e + r/d
Step-by-step explanation:
X=e+r/d
swap both sides
e+r/d=x
subtract e from both sides
e-e+r/d=x-e
r/d=x-e
multiply d to both sides
d×r/d=x-e×d
r=x-e×d
A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.
Answer:
47.7 ft
Step-by-step explanation:
tan= o/a
tan(23)= x/100
x=100/tan(23)
x= 42.4
42.4 + 5.3 = 47.7
Answer:
m∠B = 15°
and
h ≈ 31.28 ft
Step-by-step explanation:
only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.
Hey May I Ask Whats The Rule Of This Number
Answer:
add 4x1, then 4x2, then 4x4, then 4x8, etc
Step-by-step explanation:
1. What is the opposite of -17
Answer:
Step-by-step explanation:
17
Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X
Answer: 5/2
Explanation:
According to 30-60-90 triangle rule:
The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
Answer:
D. 12/13
Step-by-step explanation:
Hyp = √( (-20)² + 48² )
Hyp = 52
Sin = opp/hyp
sin = 48/52 = 12/13
The value of trigonometric ratio Sinθ = 12/13.
Hence option D is correct.
According to the given point
The base of the triangle be = -20
Perpendicular of triangle = 48
We know that the Pythagoras theorem for a right-angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
Therefore,
Hypotenuse = √( (-20)² + 48² )
Hypotenuse = 52
Since we know that,
Sinθ = opposite side of θ /hypotenuse
= 48/52
= 12/13
Hence,
Sinθ = 12/13
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
The complete question is:
A point (-20, 48 ) is on the terminal side of angle θ .
Find the exact value of Sinθ.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
Does anyone know this
Answer:
The scale factor is greater than 1
Step-by-step explanation:
Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
12x = (10)(11)
12x=110
x=110÷12
x=55/6
Find the measure of angle A
Pls help
Step-by-step explanation:
x+85+x+44+63=180(sum of angles of a triangle)
or,2x+192=180
or,2x=180-192
or,x=-12
Angle A=x+44
=-12+44
=32°
Give brainliest plse .
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
Select the graph of y= sin x.
Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).
Which graph is the graph of sin(x)?To identify the graph of sin(x), we need to remember some points of the sine function.
We know that sin(0) = 0, this means that this passes through the point (0, 0).
And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).
With that in mind, the graph that passes through those two points is the first one, so that is the correct option.
If you want to learn more about the sine function:
https://brainly.com/question/9565966
#SPJ2
Answer:
A.
Step-by-step explanation:
Believe me! I got it right on the program!
How do I simplify 8 - 4(x - 7x) + 3
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit
Answer:
Dr. Gavin needs to recruit 200 participants.
Step-by-step explanation:
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.
This means that there will be 2*4 = 8 cells.
Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?
25 people in each cell, 8 cells. So
25*8 = 200
Dr. Gavin needs to recruit 200 participants.
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it
Answer:
I would love to help but can you zoom in on the question I can't really read it
Step-by-step explanation:
Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
95%
Step-by-step explanation:
A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?
what is the absolute value of the complex number −4−i 2√?
Answer:
-4-i2
The absolute value is the Square root of the real and Imaginary Parts of the Complex No
= √(-4)²+(-2)²
=√16+4
=√20
=2√5
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
Help plzzzzz fast and no links
Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
1.
Which of the following is acute angle?