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

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.

A Grid Is 10 Squares High And 10 Squares Wide. The Distance Between Each Grid Square Is 3 Feet. The Triangular

Answer 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

pls I need a step by step on how to solve
2+4=6−2

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(— - 6) - 2 = 0

6 6 • 4

6 = — = —————

1 4

x - (6 • 4) x - 24

——————————— = ——————

4 4

(x - 24)

———————— - 2 = 0

2 2 • 4

2 = — = —————

1 4

(x-24) - (2 • 4) x - 32

———————————————— = ——————

4 4

x - 32

—————— = 0

x-32

———— • 4 = 0 • 4

x-32

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

65h+129=584
584-129= 455
455/65= 7 hours she rented the limo

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.

Answers

Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

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Find Algebraically, the coordinates of P.

Answers

Answer:

x =2.5 and y=5.5

Step-by-step explanation:

using elimination method

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The point of intersection is (2.4, 5.5).

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5 is an equation.

3x + 4y = 5 is an equation.

We have,

Two equations.

3x - y = 2 ____(1)

x + 3y = 19 _____(2)

The point of intersection can be calculated as,

From (1) we get,

3x = 2 + y

x = (2 + y) / 3 _____(3)

From (2) we get,

x = 19 - 3y ______(4)

From (3) and (4) we get,

(2 + y)/3 = 19 - 3y

2 + y = 57 - 9y

y + 9y = 57 - 2

10y = 55

y = 55/10

y = 5.5

Now,

From (3) we get,

x = 19 - 3y

x = 19 - 3 x 5.5

x = 19 - 16.6

x = 2.4

Thus,

The point of intersection is (2.4, 5.5).

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Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer:

A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

AP : PB = 2 : 3

3AP = 2PB . . . . . . . . cross multiply

3(P -A) = 2(B -P) . . . recognize length XY = Y - X

5P = 3A +2B . . . . . collect P terms

P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

P = (8 2/5, 8 2/5) . . . . matches choice A

In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?

Answers

Answer:

The measure of ∠A = 107.5°

Step-by-step explanation:

Given that

ABCD is a kite such that

AB = BC and AD = DC

Join A and C

Since AB = BC

→ ∠BAC = ∠BCA

Since , the angles opposite to equal sides are equal.

Let ∠BAC = ∠BCA = x°

and

Since AD = DC

→ ∠CAD = ∠ACD

Since , the angles opposite to equal sides are equal.

Let ∠CAD = ∠ACD = y°

Now

In ∆ ADC ,

∠ADC + ∠CAD + ∠ACD = 180°

Since , the sum of the all angles in a triangle is 180°

⇛ 30° + y°+ y° = 180°

⇛ 30°+2y° = 180°

⇛ 2y° = 180°-30°

⇛ 2y° = 150°

⇛ y° = 150°/2

⇛ y° = 75°

Therefore, ∠CAD = ∠ACD = 75°

and

In ∆ ABC,

∠ ABC + ∠BAC + ∠BCA = 180°

Since , the sum of the all angles in a triangle is 180°

⇛ 115° + x° + x° = 180°

⇛ 115°+2x° = 180°

⇛ 2x° = 180°-115°

⇛ 2x° = 65°

⇛ x° = 65°/2

⇛ x° = 32.5°

Therefore, ∠BAC = ∠BCA = 32.5°

Now, ∠ A = ∠BAC + ∠CAD

⇛ ∠A = 32.5° + 75°

⇛ ∠A = 107.5°

Therefore, ∠A = 107.5°

Answer:-

) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°

Read more:

Answers

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?

Answers

Answer:

No, the ratio is a bit inconsistent.

Step-by-step explanation:

The relationship between 14 and 84 red beads is multiplying by 6.

The relationship between 19 and 133 gold beads is multiplying by 7.

Hope this helps,

A cheerful teen willing to help,

stay positively safe!

Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step

Answers

I think I need to know what the cat weighs first...

Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have

Answers

Answer:

Your anwser would be

5.45454545455

Step-by-step explanation:

since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545

Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.

What is the relationship between these two vectors?

Answers

Answer:

a and c

Step-by-step explanation:

that's because they both have a and c....so their relationship is a and c

What is the product of (3^5) (2^5) (3^4)

Answers

11,337,408

(3^5) = 729 (2^5) = 64 (3^4) = 243

729 x 64 x 243 = 11,337,408

Do number 5 this is not a quiz

Answers

Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.

(3/4(3/5) simplify i need the answer because i dont get it

Answers

Answer:

35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).

...

Reduce 3/5 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.

3 ÷ 15 ÷ 1.

Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/

Step-by-step explanation:

I really need help with this one it's due today!!

Answers

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

Question 8 of 10
What is the length of PR?

A. 9
B. 63
C. 11
D. 7

Answers

Answer:

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

got it right on the quiz.

Brainliest?

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

1/4 , 0.5 , 10/25 from least to greatest

Answers

Answer: 1/4, 10/25, 0.5

Explanation: It doesn't take rocket science to solve this Brainliest please!

HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!

Answers

Answer:

its F for the inequality to be true

(x + 1)(x + 2)(x + 1)(3x + 2)

Answers

Answer:

Is it the full question I mean what does it want next anyway?

But here's your answer :

3x^4 + 14x^3 + 23x^2 + 16x + 4

It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest

How much interest would pay each year?

Find the total amount of interest paid

How many years does it take to repay the loan?

Answers

Answer:

$1,353 a year $16,256 total paid 12 years

Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .

Answers

Answer:

x: (4, 0)y: (0, -2)

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:

-4x +0 = -16

x = -16/-4 = 4 . . . . the x-intercept

To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:

0 +8y = -16

y = -16/8 = -2 . . . . the y-intercept

The x- and y-intercepts are (4, 0) and (0, -2), respectively.

_____

Additional comment

The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.

simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5

Answers

Solution:.[tex] \frac{1}{4} + \frac{11}{4} + \frac{12}{5} \\ = \frac{1 \times 5 + 11 \times 5 + 12 \times 4}{20} \\ = \frac{5 + 55 + 48}{20} \\ = \frac{108}{20} \\ = 5 \frac{8}{20} \\ = 5 \frac{2}{5} [/tex]Answer:

[tex]5 \frac{2}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

5 2/5

Step-by-step explanation:

How to find derivative of a curved graph.

Answers

Visually, derivative of a function f at x=a represents the slope of the curve at the point x=a . Derivative As Slope: The slope of tangent line shown represents the value of the derivative of the curved function at the point x . Sometimes f has a derivative at most, but not all, points of its domain.

A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-
slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket

Answers

Answer:

$14

Step-by-step explanation:

The difference of sales between the first and the second days is the cost of 85 tickets:

2310 - 1120 = 1190

Cost of a ticket:

1190/85 = 14

Find the slope of these two points that's the cost

(0,1120)(85,2310)

Slope

m=2320-1120/85-0m=14

A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.

Answers

Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.

Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16

Jocelyn has apples and apricots in a ratio of 250:15. How many apples does she have if she has 3 apricots?
HELP ASAPP

Answers

Answer:50

Step-by-step explanation:

15 : 5 = 3

250 : 5 = 3

I could really use MisterBrainly right now! 50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?

Answers

Answer:

-3, 3

6,21

9,-9

Step-by-step explanation:

Answer:

> Your coordinates are; -3, 3 || 6, 21 || 9, -9

Step-by-step explanation:

> I hope this solves your problem correctly.

4. Solve for x, and explain which theorem or
postulate that helps you find the answer.

Answers

Answer:

x = 4° Alternate Exterior Angles

Step-by-step explanation:

[tex]\begin{array}{cc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\\end{array}\right][/tex]

Solve for x:

21x + 6° = 90°

21x = 84°

x = 84°/21

x = 4°

[tex]\begin{array}{ccc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\x = 4&Algebra\end{array}\right][/tex]

-Chetan K

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