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
To learn more about the area of the triangle visit:
https://brainly.com/question/23945265
#SPJ5
Related Questions
where the mathematicians at ☺️
Answers
Answer:
C.
Step-by-step explanation:
It is correct because the line on the graph goes up (increases) then it goes back down (decreases)
Answer:
The graph increases, then decreases
Step-by-step explanation:
The graph goes up, showing it increases, then drops down, showing it decreases.
Hope this helps!
What equation represents this sentence?
28 is the quotient of a number and 4.
28=n4
4=n28
4=28n
28=4n
Answers
The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.
It is given that, 28 is the quotient of a number and 4.
The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
Suppose the number is n,
n/4=28
Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Lisa went on a 52 km hike. She divided the distance traveled evenly over 4 days.
How many meters did Lisa walk each day ?
Answers
Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers
Answers
Answer:
6,10,14
Step-by-step explanation:
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answers
Answer:
if the three is meant to be a zero then the answer is B, 67.14
Step-by-step explanation:
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answers
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.
645 plus 763 to the nearest hundredth
Answers
Answer:
1408
What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong
A recipe calls for 40 ounces of rice. how many grams of rice does the recipe require
Answers
Answer:
So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions
Step-by-step explanation:
which is the correct algebraic expression giving brainliest
Answers
Answer:
B
Step-by-step explanation:
Area of triangle - 1/2*c*d
Area of circle - 1/2*pi*(a/2)^2 = pi * a^2/8
Total area = 1/2cd + a^2 pi/8
i need help again...
Answers
Answer:
2 again and the next one is 3
Step-by-step explanation:
Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour how long does it take Jada to walk 12 miles
Answers
Answer:
i think it is 234 i am not sure
Step-by-step explanation:
Consider the figure below and mark the line segments and angles that are congruent, given that H is the incenter of the triangle.
Answers
21
2+1=21
is the answer good hqahahahahahah
Mr. Lee's plant is 5 1/2 inches tall. It is 1 7/10 inches taller than Sally's plant.
How tall is Sally's plant?
Enter your answer as a simplified mixed number by filling in the boxes.
please answer!!! i need to get a A on this unit test
Answers
The height of Sally's plant in mixed fraction form will be equal to 3 4/5 inches.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Height of Lee's plant = 5 1/2 = 11/2
Let the height of Sally's plant be x.
Lee's plant is 1 7/10 taller than Sally's plant.
Then, the height of Sally's plant will be,
x = 11/2 - 17/10
Take LCM as 10
x = (55 - 17)/10
x = 38/10 = 19/5 inches
It can be written in the mixed fraction form as 3 4/5.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ5
Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?
Answers
Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.
Hope I helped:)
please help!
im confused
Answers
Answer:
8(4+2)
Step-by-step explanation:
8 x 6 = 48 hence 32+16 also equals 48
Answer:
8 (4 +2)
Step-by-step explanation:
because you mulitiple 8 times 4 which is 32 and then you do 8 times two which is 16 and so that is the answer that the were looking for
how many times can 10 go into 5228
Answers
Which part of this problem should be simplified first?
(100 – 37 + 15) × 2 ÷ 3
Answers
Answer:
the parentheses should be the first.
Step-by-step explanation:
follow the steps using PEMDAS.
P- parentheses
E- exponent
M- multiply
D- divide
A- addition
S- subtraction
Answer:
The answer is 100 - 37. Do not put parenthesis when answering your question.
Step-by-step explanation:
Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?
Answers
Ashley is incorrect, they’re traveling at the same rate. hope this helped
I need help with 12 and 14, will give Brainliest
Answers
Answer:
12. 12.8 is the answer without rounding, 13 is the answer with rounding
story: you buy 4 apples for 3.2 cents each, since you cannot pay in less than a cent, you must give the seller 13 cents for the 4 apples
14. 12/7 is the answer without rounding, with rounding its 1
you have 3 1/7 of an apple, and your friend wants you to split it into 1 5/6 pieces, but you can't, so your friend is nice and only takes less than his part
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
Please consider giving me a brainliest! Thank you.
Find the value of x and y.
Answers
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answers
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
kyle has an indoor basketball court. the rectangular court has a perimeter of 200 feet. the length of the court is 12 feet less than three times the perimeter. write an equation to determine the dimensions of the court.
Answers
Answer:
200 x 3 - 12=588
please dont give a useless answer
Answers
Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260
Answers
Answer:
it is the $14 pack
Step-by-step explanation:
the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.
-18<3(x+2)<12
⚠️Compound Inequality⚠️
Answers
Answer:
-8<x<2
Step-by-step explanation:
divide everything by 3 to get -6<x+2<4. next subtract 2 from everything to get -8<x<2
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answers
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
HELPP PLEASEE AND THANK YOU:)
Answers
Step-by-step explanation:
i think the answer is 112°.......
PLS ANSWER QUICKLY What is the best approximation of the solution to the system to the nearest integer values? (7, 0) (0, 6) (7, 1) (1, 7)
Answers
Answer:
0 = 0 = 0 = 0 = 0 < 1 < 6 < 7
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7
0/
1
= 0/
1
= 0/
1
= 0/
1
= 0/
1
< 1/
1
< 6/
1
< 7/
1
Step-by-step explanation:
Answer:
the correct answer is (1, 7)
Step-by-step explanation:
Plz plz plz plz plz
Answers
C
Hope this helps brotato chip
