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
Use the distributive property and then combine like terms to simplify each expression. 4(x-2) + 4(x + 4)-(8x + 1)
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Answer:
8(×2)+8(×+4)-(4×+9)
Your mom decides she will give you $8, instead of $5 for each chore. You complete 12 chores. Will you have enough money for the lego set?
Answers
Average price of one Lego set = $20
You get $8 per choresTotal chores=12Total price
[tex]\\ \sf\longmapsto 12(8)=\$96[/tex]
You have enough price
What is 2.29 rounded to the nearest whole ounce?
Answers
Answer: To round 2.29 to the nearest whole number consider the tenths' value of 2.29, which is 2 and less than 5.
Step-by-step explanation:
Solve for x
8-2x=-12
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Answer:
x=10
Step-by-step explanation:
How to find displacement from velocity.
Answers
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
What is theValue of x ?
Answers
Answer:
10
Step-by-step explanation:
x is 10
lucio es un poco bromista al llegar a la tortearía dijo: me da dos tercios de torta y media el dependiente que si sabia matemáticas lo despacho correctamente
*Que cantidad de torta le dio?
*como resolviste el problema?
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Answer:
Step-by-step explanation:
In the given case, we can conclude The customer received one and one-sixth (1 1/6) of a cake.
The question is asking us to determine how much cake the customer received. The phrase 'dos tercios' translates to 'two-thirds' in English. So, the customer received two-thirds of a cake.
Since the customer also received half of a cake, we can add these two quantities together: two-thirds + one-half.
In order to add these fractions, we need a common denominator. The least common multiple of 2 and 3 is 6. So, we can rewrite two-thirds as four-sixths and one-half as three-sixths. Adding these fractions together gives us seven-sixths (or one and one-sixth).
Therefore, the customer received one and one-sixth (1 1/6) of a cake.
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Layla has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 50 points for a free movie ticket.
Which inequality can be used to determine xx, the minimum number of visits Layla needs to earn her first free movie ticket?
Answers
Answer:
2
Step-by-step explanation:
Answer:
30+13.5=43.5 so she needs 6.5 more points
Step-by-step explanation:
Option A charges $500 for the year and $65 each time she visits the doctor. Option B charges only $300 for the year but $95 for each doctor's visit. How many visits will she have to make in a year for Option A to be the better deal?
Answers
Answer:
6 visits will she have to make in a year for Option A to be a better deal
Step-by-step explanation:
7.4x10^7 in standard form
Answers
Answer: 740000000
Step-by-step explanation:
Answer:
0.000074
7.4×10−5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4×10−5=0.000074
5x+2y<8 graph the inequality
Answers
How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]
Answers
Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo
Answers
584-129= 455
455/65= 7 hours she rented the limo
can someone help me with this problem?
Answers
Answer:
B) f^-1(x)=3-5x
Step-by-step explanation:
y=3-x/5
rearrange the equation so you have x variable on the left side
5y=3-x
+x +x
5y+x=3
-5y -5y
x=3-5y
so answer is b)
f^-1(x)=3-5x
Robert is making a photo album. 12 photos fit on a page. How many pages will he need for 432 photos?
Answers
Answer:
12 photos fit on page = 1
432 photos fit on page = 432/12
= 36 pages
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
36 pages
Step-by-step explanation:
There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:
[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]
You can see that the units for photos cancel out, resulting in units for pages.
So, Robert will need 36 pages in order to fit all 432 photos into his photo album.
What is the answer to (6 1/2)/2
Answers
Answer:
3.25
Reasoning:
[tex]\frac{6.5}{2}[/tex]
[tex]3.25[/tex]
(+4)-(+4)-(-10)+(+4)-(+8)+(-16)-(-10) I only need the procedure Thanks
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Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
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Answers
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
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HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98
Answers
Answer:
TWO TRAINS IM SORRY LOLLL
Answer:
18 minutes
Step-by-step explanation:
The picture attached is the problem
Answers
(9/2 , -9/4)
So C is the answer
IDENTIFY TWO SEGMENTS THAT ARE MARKED PARALLEL TO EACH OTHER.
PLEASE HELP, WILL GIVE BRAINLIEST.
Answers
Hey there!
I believe segment ED and AB are parrarel to each other.
Hope this helps! :)
Have a great day!
HELPP HURRYYYY !!
have to be turned in soon
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Answer:
Faster the deadline is so close let me sing
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Super idol di show lung domini ding shaw
What are the group of boxes or cells in a table that go side to side (horizontal) is called?.
Answers
Answer:
A group of boxes in a table that go side to side (horizontal) are called: Grids.
:)
A group of boxes in a table that go side to side (horizontal) are called Grids.
What is a grid answer?
A pattern of intersecting horizontal and vertical lines that creates a grid of squares is known as a rd. A grid is also a system of wires that connects several locations in a region with electricity: a power grid.When straight lines cross over one other to form squares, it is said to be in a grid pattern. The grid on maps is designed to guide you in finding a certain object or location. ...an ironwork grid.An illustration of a grid would be the lines on graph paper. noun. (football) (football) the field.Learn more about grid
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SOMEONE PLEASE ANSWER‼️‼️‼️ILL MARK BRAINLYEST PLEASE ‼️‼️
In the triangle LMN, LM = 13, MN = 17, LN = 10. Which is the largest angle?
A. LNM
B. LMN
C. This cannot be determined
D.MLN
Answers
Answer:
b. LMN
Step-by-step explanation:
The angle opposite to the largest side is the largest angle, which means that angle MLN is the largest angle. Hence, option D is correct.
What is an angle?Two lines converge at a location, creating an angle. An "angle" is the term used to describe the length of the "opening" between these two rays. The letter is used to represent it. Angles are frequently expressed in degrees and radians, a unit of roundness or rotation.
The given lengths of the sides are,
LM = 13
MN = 17 and LN = 10
Then, the angle which is opposite to the side MN will have the greater angle then angle MLN has the greater angle.
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Transposing the formula R=R0 (1+at) for t gives?
Answers
thats ur answer,hope it helps
Answer:
t
Step-by-step explanation:
Pls help ::::………..
——-////
Answers
Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
A car salesman has 5 used cars for sale. They have a mean price of $7000. What is the total price of all 5 cars?.
Answers
Answer:
Step-by-step explanation:
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
(05.03)
An equation is shown below:
2/3 x + 8/3 = 2x
What is the solution to the equation? (4 points)
Answers
x=2
1:Subtract 2x from both sides.
2:Combine 2/3 x and -2x to get -4/3
3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.
4:Multiply both sides by -3/4,the reciprocal of -4/3
5:Multiply − 3/8 times − 4/ 3 by multiplying numerator times numerator and denominator times denominator.
6:Do the multiplications in the fraction −8(−3) over 3x4.
x=24/12
Divide 24 by 12 to get 2.
x=2
convert 40 yards to feet
Answers
Answer:
120 feet
.................................
Step-by-step explanation:
1 yard = 3 feet
Question 2: Select the property shown
by the statement: If 7 = x and x = y, then
7 = Y
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive
Answers
Answer:
1. option C, i.e., symmetric property.
2. option B, i.e., Integer
3. option D, i.e., zero product property
Step-by-step explanation:
Symmetric property: According to this property it a=b the b=a.
By symmetric property, we can say that, if y=7 then 7=y.
Therefore, the correct option is C, i.e., symmetric property.
Closure property: According to this property, if a∈S and b∈S, then a*b∈S.
Subtraction of natural numbers is not always natural.
Subtraction of integers is always integer.
Subtraction of irrational number is not always irrational number.
Subtraction of odd number is always even.
Therefore, the correct option is B, i.e., Integer.
Given statement is (a-b)*0=0.
According to zero product property if ab=0, then a=0 or b=0.
So, the given statement is true by zero product property.
Therefore, the correct option is D, i.e., zero product property.