A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.
How many cameras will be necessary to cover the entire store?
.
If he places cameras only in the corners of the store, how much area is left uncovered?
ft2.
Answers
Answer:
1) 8
2) 450 ft^2
Step-by-step explanation:
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
What is the area of the triangle?
The area of the triangle is
[tex]=\frac{1}{2}\times height \times base[/tex]
The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.
That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
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Related Questions
What is the sale price?
30 pts
Answers
Answer:
Sales Price = $8.75
Step-by-step explanation:
Original Price - Discount = Sale Price
=> 12.50 - 3.75 = Sales Price
=> Sales Price = $8.75
Hoped this helped.
How to solve algebraic inequalities.
Answers
Algebraic inequalities can be solved in the same way in which algebraic equations are solved.
Gabriella drove to her friend's house and
back. The trip there took six hours and the
trip back took five hours. She averaged
60 km/h on the return trip. Find the
average speed of the trip there.
Answers
She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km
The trip there would be 300 km and she drove for 6 hours
Average speed = 300 km / 6 hours = 50 km/h
Answer: 50 km/h
Ill reward you a bounty of 100 points! plus brainiest if you are the first one to answer my question:
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.
Answers
Answer:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Recall:
Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.
If we know the two of the three side lengths of a right triangle, we can find the other third length.
An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram
Therefore:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Step-by-step explanation:
#Nova
Have a good day
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
Please help me with this homework
Answers
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
an angle measuring between 90 and 180 is called__
Answers
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
If RS=x+5 and HJ + Lk = 4x+6, find RS
Answers
When using a(n) _____ join, only rows from the tables that match on a common value are returned.
Answers
When you using an Inner Join, rows from table that match a common value are the only ones returned.
In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.
Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.
The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.
Therefore, when you using an Inner Join, rows from table that match a common value are the only ones returned.Learn more about Inner Join on:
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Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Answers
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
Learn more at https://brainly.com/question/15168004
some one please help
Answers
Answer:
i can't see the photo
Step-by-step explanation:
pleas send it again
Answer:
Step-by-step explanation:
f(x) = 3-x/5
Explanation:
The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation
y=3x -5
turns into
x = 3y+5
Then solve the equation for y
x=3 y- 5
x+5 = 3y
the divide all by three
1/3x + 5/3 =y
f ( x ) − 1 = 3/1 x + 5/3
Please help me and
explain how you got the answer
Answers
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
Given that a randomly chosen flight arrives in Atlanta (ATL), what is the probability that it arrives on time?
Answers
Using the given percentage, it is found that there is a 0.877 = 87.7% probability that it arrives on time.
A probability is the number of desired outcomes divided by the number of total outcomes.Over a large sample, a percentage can be interpreted the same as a probability.In this question, over a large number of flights, 87.7% arrive on time in Atlanta. Hence, there is a 0.877 = 87.7% probability that it arrives on time.
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40 is a multiple of with number . 6,11,8,15
Answers
Answer: 8
Step-by-step explanation: 8 * 5 = 40
The rest don't work.
Would appreciate brainliest <3
Answer:
8
Step-by-step explanation:
You can do 8 *5
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?
Answers
Answer:
379 : 62
Step-by-step explanation:
Let’s gather the info from the problem.
1580 adults and children on a ship.
60% of them are adults.
percentage of adults and students remaining on the ship decreases by 20%
60% of 1580 is 948 so there are 948 adults onboard
leaving the remaining children which is 632
948 Adults
632 Children
Adults decreases by 20% so 758 adults
Children decreases by 20% so 124 children
the ratio is 758:124 simplified would be 379 : 62
Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units
Answers
Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units
Recall:
Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.
Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]
Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 unitsLearn roe about congruent triangles on:
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Answer:
4 units
Step-by-step explanation:
julio bought 4 pounds of carrot sticks and 3 pounds of celery sticks for the school potluck. he had 6 bowls for serving vegetables. he wants to put an equal amount of carrots and celery in each bowl. how many pounds of vegetables would be in each bowl
Answers
Answer:2
Step-by-step explanation: 4 times 3 equals 12 and 12 divided by 6 is 2
There are 1(1/6) pound of vegetables in each bowl.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bowls = 6
Number of carrot sticks = 4 pounds
Number of celery sticks = 3 pounds
The number of carrots in each bowl.
= 4/6
= 2/3 pounds
The number of celery sticks in each bowl.
= 3/6
= 1/2 pounds
The number of pounds of vegetables in each bowl.
= 2/3 + 1/2
= (4 + 3)/6
= 7/6
= 1(1/6) pounds
Thus,
There are 1(1/6) pound of vegetables in each bowl.
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What are vented rotors? When are they used?
Answers
Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade
Step-by-step explanation:
which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answers
Answer:
B. 17/102,27/108 do not for proportion
What’s the algebraic expression for this
tn tv
1. 1
2. 3
3. 6
4. 10
5. 15
Someone plz help me
Answers
Answer:
1 3 6 10 15
Step-by-step explanation:
brainliest plz
you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off
Answers
Answer: The answer is $254.15
Suppose that you invest $15,000 into a high yield savings account that earns 2.1\% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 8 years? Show your equation. Round your answer to the nearest cent. (5 Points )
Answers
Answer:
$17741.44Step-by-step explanation:
Given:
Investment P = 15000Interest rate r = 2.1% PA or 0.021 PACompound number n = 12 PATime t = 8 yearsFind the total amount:
A = P(1 + r/n)^(rn)A = 15000(1 + 0.021/12)^(8*12) = 17741.44Graph F(x)=x^2+4 to its function
Answers
Answer:
x2-4
Step-by-step explanation:
got it right
Factorize: (x+4)2 - (x- -3)2
Answers
Answer:
2
Step-by-step explanation:
3+14 multiplied by a number X
Answers
Answer:
x(3+14)
Step-by-step explanation:
That is how you would write that expression.
X(3+14)
Explanation: that’s just it that’s how you do it
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answers
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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Corey concluded that the remainder of (3x3 + 8x2 - 4x - 3) + (x + 2) is 45.
What error did he make?
Answers
Answer:
-8
Step-by-step explanation:
3×3=9+
8×2=16=
(9+16_4×-3)+(×
PLEASE HELPPPPPPP
The maimum or minimum is also called the extreme value of the equation. What are the coordinates of the extreme value on your graph. use the pointer tool of needed.
I attached the graph to the question.
Answers
Answer:
the answer would be 1,-8
the acceleration in centimeters per second of a projectile is modeled by
Answers
Answer:
The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds
The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7
Answers
Answer:
D) 13.7
Step-by-step explanation: