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.

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

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

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.

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

Hope it helps.

Do comment if you have any query.

Answer:

5 2/5

Step-by-step explanation:

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.

Answer:

its F for the inequality to be true

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:-

Read more:

Similar Questions

ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.

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Answer:

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.

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

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  

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

Answer:

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

Answer:

a and c

Step-by-step explanation:

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

Answer:

b

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

got it right on the quiz.

Brainliest?

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

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).

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).

Learn more about equations here:

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Answer:50

Step-by-step explanation:

15 : 5 = 3

250  : 5 = 3

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.

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

Answer: 1/4, 10/25, 0.5

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

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

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!

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:

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)

Answer:

Step-by-step explanation:

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

Cost of a ticket:

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

Slope

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°.

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°.

To learn more on angle click:

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Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.