Triangle ABC has vertices A(-4, 3), B(2, 3), and C(-5, 1). A
dilation with a scale factor of 5 and center at the origin is applied to this triangle.
What are the coordinates of C' in the dilated image?
Enter your answer by filling in the boxes.
C' has a coordinate pair of (O

There are 18 cameras that will be necessary to cover the entire store, the correct option is D.

A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.

Given

Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.

Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.

The distance between grid lines is 4 feet.

From the information given, the area of the store roof will be:

= 48 × 48 =  2304 ft²

The area viewed by the camera = 112.5ft²

The number of cameras that will be necessary to cover the entire store is;

[tex]= \dfrac{2304}{128}\\\\= 18[/tex]

Hence, there are 18 cameras that will be necessary to cover the entire store.

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Answer:

There are 18 cameras that will be necessary to cover the entire store. .aka D

Step-by-step explanation:

Edge2023

Answer:

155

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

Answer:

5y + 25

Step-by-step explanation:

You simply multiple everything inside by the outside

y x 5

5 x 5

giving you 5y + 25

Answer:

4

Step-by-step explanation:

16 marbles take away 8 green ones which is equivalent to ½, u will have 8 marbles left or ½, so to get ¼ youll have to halve 8 to get 4.

Step-by-step explanation:

DB/EC = AD/BE

5/EC = 4/12

5 = 4/12 EC

5×12/4 = EC

15 = EC

EC = 15

Answer:

ten times I hope I'm right

Step-by-step explanation:

3 × 100 = 300

3 × 10 = 30

sense 3 is what is being talked about, 3 in the 300 is 100 times and 3 in 30 is 10 times.

100 is 10 times 10

10 × 10 = 100

value is the total

how many times greater is the total of the 3 in both numbers

3 in 300 is 10 times the 3 in 30

hope this helps

Answer:

y+3=-(x+5)5

y+3=-5x-25

y+3+5x+25=0

y+5x+28=0

Answer:

3/13

Step-by-step explanation:

number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)

Answer: 1st; (-5, 1)

2nd;(-3, 1)

I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.

Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation

Answer:

[tex] \\black{ \rule{1pt}{900000pt}} \

[/tex][tex]

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

5x (x + 4) (x + 4)

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

Answer:

Diameter: Circumference

Step-by-step explanation:

Because this is Pi, which is the same for any circle.

Answer:

4,652,352

Step-by-step explanation:

Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
                                     = 4,652,352

Answer:

9

Step-by-step explanation:

Follow the order of operations:

Given expression:  6 ÷ 2(1 + 2)

Carry out the operation inside the parentheses first:

⇒ 6 ÷ 2(3)

⇒ 6 ÷ 2 × 3

Now multiply/divide by going left to right:

⇒ 3 × 3 = 9

Solution:

To solve this problem, we will need to use the "BODMAS".

Solving the expression:

[tex]\bullet \ \ 6 \div 2(1 + 2)[/tex]

First, simplify the expression inside the brackets.

[tex]\bullet \rightarrow 6 \div 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}][/tex]

Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.

[tex]\bullet \rightarrow 6 \div 2 \times 3[/tex]

According to the BODMAS, division first.

[tex]\bullet \rightarrow 3 \times 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}][/tex]

According to the BODMAS, multiplication next.

[tex]\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}][/tex]

Thus, the solution to 6 ÷ 2(1 + 2) is 9.

Answer: X=1 Y=-5

Step-by-step explanation:

−9x+2y+−2y=−19+−2y(Add -2y to both sides)

−9x=−2y−19 (Divide by 9 on both sides)

x= 2/9y+19/9 now Substitute 5(2/9y+19/9)+4y=-15=

46/9+95/9=-15 (simplify both sides)

46/9+95/9+-95/9=-15+-95/9 (Add (-95)/9 to both sides) =

46/9y=-230/9 (now divide both sides by 46/9) than equals

y=-5

for X we plug in -5 like this: X=2/9(-5)+19/9 now just evaluate than simplify both sides which equals: 1

If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

We can use exponential growth:

If the population doubles every 42 years, the population after t years can be modeled as:

P = 467,500 x 2^(t/42)

where P is the population after t years and 467,500 is the current population.

To find the population 168 years from now, we can plug in t = 168:

P = 467,500 x 2^(168/42)

  = 467,500 x 2⁴

  = 467,500 x 16

  = 7,498,000

So, the population of the city 168 years from now is approximately 7,498,000.

To know more about exponential function check:

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Answer:

Step-by-step explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r                 Multiply both sides by 360

30*360 = 100 * 2 * pi * r                Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r                              Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

Answer:

The missing length would be 6

Step-by-step explanation:

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

Answer:

3h+4.50=15

We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.

Hopefully that helps. Have a great night! Or day!

Answer:

238.76

Step-by-step explanation:

I believe

Answer:

C≈527.79in

Solution

C=2πr=2·π·84≈527.78757in
                                                                                                                                                                                                                               

Answer:

30%

Step-by-step explanation:

percentage of the course she has ridden = 18/60 ×100

=0.3×100=30 %

Answer:

5x-4y+5=0.

Step-by-step explanation:

1) if the point A(-5;-5) and B(3;5), the formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}[/tex]

2) according to the formula above:
[tex]\frac{x+5}{3+5} =\frac{y+5}{5+5}; \ = > \ \frac{x+5}{4}=\frac{y+5}{5};[/tex]

or 5x-4y+5=0.

Answer:

4x-3y=-6

Step-by-step explanation:

Answer:

then the height would be 2 because 3*2=6

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

area of triangle is: area = (base*height)/2.

since the area is 6 m^2, and base is 3 cm,

6 m^2  = (3 m*height)/2

12m^2 = 3 m*height

height = 4 m