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Natali [406]
3 years ago
14

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. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6, 9, 12, 18
Mathematics
2 answers:
mariarad [96]3 years ago
8 0

She would need 18 cameras

Inga [223]3 years ago
5 0

Answer:

18

Step-by-step explanation:

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A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b
Yuki888 [10]

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

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8 0
2 years ago
Find any values of the variable for which each rational expression is undefined. Write answers with the symbol ≠.
astra-53 [7]

Answer:

x \neq 3

Step-by-step explanation:

if  x = 3 then  the rational expression    4 / (x - 3) is undefined

because we get   4/0 = undefined .

4 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Jane bough 1.5 pounds of chicken, then went back to the store and bought 1 13/16 More pounds, how many total pounds did she buy
Studentka2010 [4]

Answer:

Step-by-step explanation:

1.5 + 1 13/16

O.5 = 1/2

(1+1)+(1/2 + 13/16)

2 + (8/16 + 13/16) = 2 21/16

4 0
2 years ago
At time t>=0, the acceleration of a particle moving on the x-axis is a(t)=t+sin(t). At t=0, the velocity of the particle is -
Rufina [12.5K]

Answer:

The velocity of the particle will be zero for  t = 1.47 sec .

Step-by-step explanation:

Given equation:

                                           a(t)=t+sin(t)

lets integrate it with respect to time,

                                           ∫ a(t) dt = ∫(t+sin(t)) dt

                                      ⇒ v(t) = \frac{t^{2} }{2} - cos(t) +c

At, t=0, v= -2 so,

                                     ⇒ -2 = 0 - 1 +c

                                     ⇒ c= -1

Hence,

                                     v(t) = \frac{t^{2} }{2} - cos(t) -1

for the velocity to be zero,

                                     0 =  \frac{t^{2} }{2} - cos(t) -1

                                ⇒  t = 1.47 sec (taking only positive value)

So at 1.47 sec the velocity of particle will be zero.

7 0
3 years ago
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