Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answers
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
Related Questions
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answers
Answer:
0.25n>0.15n+3
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:
0.25n
Where n is the number of miles.
ABC Taxi charges $3 for pick-up and $0.15 per mile
So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)
3+0.15n
To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.
0.25n>0.15n+3
if you have 5 red shirts, 4 blue shirts and 7 green shirts how many apples do you have?
Answers
Yeah I think that’s the right answer
Answer:
About 4 oranges I think...
Which equation is equivalent to 2^4x = 8^x-3?
Answers
Answer:
x=-3
Step-by-step explanation:
2^4x = 8^x-3
writing 8 as 2^3
2^4x = 2^3^x-3
We know a^b^c = a^(b*c)
2^4x = 2^(2*(x-3))
2^4x = 2^(2x-6)
The bases are the same so the exponents are the same
4x = 2x-6
Subtract 2x from each side
4x-2x= 2x-6-2x
2x=- 6
Divide by 2
2x/2 = -6/2
x = -3
Find the volume of the prism. PLS HELP
Answers
Answer:
90in^3
Step-by-step explanation:
v=w*h*l=3×5×6=90
What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?
Answers
Answer:
y=3/2x-2
Step-by-step explanation:
gradient line 1= -2/3
perpendicular meaning gradients when multiplied should be -1
gradient line 2=3/2
y+2=3/2
x-0
y+2=3/2(x-0)
y+2=3/2x-0
y=3/2x-2
The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)
The standard equation of a line is y = mx+c, where m is the slope of the line.
We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,
Therefore, the slope of the asked line is 3/2.
Finding the c,
-2 = 3/2X0 + c
c = -2
Therefore, the equation will be,
y = 3x/2-2
Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2
For more references on slope, click;
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Which is greater 15/27 or 16/24
Answers
Answer:
16/24
Step-by-step explanation:
let’s use the GCF of both which is 3 for 15/27
15/27 divided by 3 is 5/9
for 16/24 the gcf is 8
16/24 / 8 is 2/3
now we have to multiply 2/3 times 3
2/3 times 3 6/3 which is 2
so 16/24 is greater.
Mr. Martin currently makes 25,000 per year and gets a 5% raise on
his salary each year.
Which equation models the growth of his salary?
Answers
Answer:
My milkshake brings all the boys to the yard
And they're like, it's better than yours
A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?
Answers
Answer:
[tex]\frac{7}{40}[/tex]
Step-by-step explanation:
[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]
[tex]1-\frac{33}{40}[/tex]
[tex]\frac{7}{40}=0.175[/tex]
Answer:
7/40 is still left with him.
Step-by-step explanation:
LCM 5,10,8 = 40
2/5 = (x8) = 16/40 = food
3/10 = (x4) = 12/40 = rent
1/8 = (x5) = 5/40 = other expenses.
16/40 +12/40 + 5/40 = 33/40
40/40 - 33/40 = 7/40
“Which expressions are equivalent to x + x + x + 2?”
Answers
Answer:
3x+2
Step-by-step explanation:
x+x+x=3x
Because there are three lots of x
You can’t add 2 to the x so 2 is going to be separate
Answer is
3x+2
You have 3 x’s and they are like terms so you can combine them. However, you cannot combine the 2 because it doesn’t have any terms next to it so it stays the same. Hope this helps!
I’ll fine you brainlist if you answer please answer it’s URGENT
Answers
Answer:
6, 0, 10
B
Step-by-step explanation:
Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.
please help with this question
Answers
Answer:
loose sweets
Step-by-step explanation:
Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.
A better value would mean that the price is lower per gram.
pre-packed candies
120g ----- £1.49
1 ----- 1.49 ÷120= £0.0124 (3 s.f.)
loose sweets
100g ----- £0.89
1g ----- £0.89 ÷100= £0.0089
since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.
~ 1.49 / 120 = £0.0124
~ 89p /100 = £0.0089
£0.0089 is less than £0.0124
What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (5,2) D) (2,-5)
Answers
Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
1) GRAPHWe can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
2) FORMULAGeneral form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
Answer:
(–5, 2)
Step-by-step explanation:
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
Answers
Help idk how to do it
Answers
Answer:
55
Step-by-step explanation:
The base angles of an isosceles triangle have the same measure
3x+40 = x+50
Subtract x from each side
3x+40-x = x+50-x
2x+40 = 50
Subtract 40 from each side
2x+40-40 = 50-40
2x = 10
Divide each side by 2
2x/2 = 10/2
x = 5
We want angle A
3x+40
3*5 +40
15+40
55
Can u Please help me.
Answers
Answer:
-3 degrees celcius
Step-by-step explanation:
To find the temperature at midnight, simply subtract the temperature change from the temperature at noon:
17 - 20 = -3
Therefore, it was -3 degrees at midnight.
Hope this helps :) Feel free to ask any questions!
What is the product of -2.49 and 2.24?
Answers
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
Select the term that does NOT describe the triangle. Select all that apply
acute
Isosceles
Obtuse
Answers
Acute is the term which does not describe the given triangle.
In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:
"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.
"Isosceles" is a valid term because the triangle has two equal sides (11, 11).
"Obtuse" is applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.
Therefore, "acute" is the term that does not describe the triangle.
To learn more on Triangles click:
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A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answers
Answer:
The volume of the right rectangular prism is 12* 8.5 * 4 = 408 content density is 0.25 pounds
Step-by-step explanation:
A small business employs 98 people. All
Answers
The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?
Answers
Answer:
50%
Step-by-step explanation:
We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:
P (x <52000)
P ((x - m) / sd <(52000 -52000) /2)
P (z <0)
If we look in the normal distribution table we have to:
P (x <52000) = 0.5
That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%
Which correctly describes a cross section of the cube below? Check all that apply.
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
Answers
Answer:
check the first one only
Step-by-step explanation:
in a cube, no matter which side it is, there will never be a rectangle, it will all be squares
not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!
Can someone help me please
Answers
Answer:
B
Step-by-step explanation:
To find DC
c²=a²+b² (pythagorean theory)
c²=6²+8²
c²=36+64. c²=100. √100. c=10cm
thus D =10.
AD= 15-6=9
To find AC
c²=a²+b²
c²=15²+8²
c²=225+64. c²=289 √289. c=17
AC=17
perimeter is the distance around a figure thus ADC=9+10+17
=36
Will give brainiest answer
Answers
Answer:
144 cm²
Step-by-step explanation:
for the triangle sides: 3 x 4 = 12 ((3 x 4/2)x 2)
for the front: 5 x 11 = 55
for the back: 3 x 11 = 33
for the base: 4 x 11 = 44
12 + 55 + 33 + 44 = 144
Answer:
144 units²
Step-by-step explanation:
We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.
→ Area of triangle = 0.5 × Base × Height
→ Area of rectangle = Length × Width
First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's
Area of triangle = 0.5 × Base × Height
→ Substitute in the values
Area of triangle = 0.5 × 4 × 3
→ Simplify
Area of triangle = 6
Then double this value to find the combined value of the 2 triangle's
6 × 2 = 12
Now the area of the large rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 5
→ Simplify
Area of rectangle = 55
Now the area of the medium rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 4
→ Simplify
Area of rectangle = 44
Now the area of the small rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 3
→ Simplify
Area of rectangle = 33
Now we add all the area's together,
33 + 44 + 55 + 12 = 144
Can someone please help me on these 2 problems thank you Sm!:)
Answers
Since 20% or 1/5 of the class played basket ball to find the whole you would multiply by 5 which gives you 140
11: a
Since it’s says and 5 you need to add 5 before you multiply by 6 ( it’s kinda hard to explain)
A researcher wanted to show that math test scores increased for students who attended extra study sessions for a particular school. The study sampled 5 honors students who attended the study session. Explain why this report is not reliable.
Answers
Answer:
This report is not reliable because:
A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.
Step-by-step explanation:
To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.
Determine the constant of variation for the direct variation given
2
1
1/2
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answers
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
The algebraic expression 6x - 4 can
be written as which of the
following?
The product of six and a number x
decreased by four
x to the sixth power decreased by four
Six times a number x less than four
four less than six
Answers
Answer:
Six times a number x less than four less than six
The product of six and a number x decreased by four.
Given that,
The algebraic expression 6x - 4.
Based on the above information, the information is as follows:
Here 6x - 4 should be written like the product of x and the number x should be decreased by four.
Learn more: brainly.com/question/17429689
The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.
Answers
Answer:
An 18 sided shape.
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.
Answers
Answer:
i think its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value.
We can assume that the time is x, and the temperature is y.
At any time, you do not have more than one temperature.
