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:

the answer is 97.5%

Step-by-step explanation:

Answer:

18 m

Step-by-step explanation:

11m + 7m is 18m
The final answer is 18m

The change in altitude of the kingfisher is 18 m.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

Suppose the distance above the cliff is represented by a positive integer.

Then the distance below it is represented by a negative integer.

Thus, change in altitude of the kingfisher

= 7-(-11)

= 7+11

= 18 m

Hence, the change in altitude of the kingfisher is 18 m.

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Answer: [tex]\displaystyle d=3\sqrt{5}[/tex]

Step-by-step explanation:

     First, we will find the coordinate placement of each point. See attached.

     Now, we can use the distance formula.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]d=\sqrt{(6-3)^2 +(-3-3)^2}[/tex]

[tex]d=\sqrt{(3)^2 +(-6)^2}[/tex]

[tex]d=\sqrt{9+36}[/tex]

[tex]d=\sqrt{45}[/tex]

[tex]d=\sqrt{9*5}[/tex]

[tex]\displaystyle d=3\sqrt{5}[/tex]

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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The horizontal ground distance between the person and the plane is 6174.5 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the horizontal ground distance between the person and the plane.

tan(39) = 5000 / d

d = 6174.5 feet

The horizontal ground distance between the person and the plane is 6174.5 feet

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Answer:

Option (2)

Step-by-step explanation:

[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]

Answer:

2 and 5/11

Step-by-step explanation:

first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11

Answer:

42.5° East of South

Step-by-step explanation:

Hope this helps :)

Answer: B, C, D, E

Step-by-step explanation:

The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.

∠Z = 180 - 86-38 = 56°

Similarly,

∠L = 38°

From this, two triangles XYZ and LMN

We can say:

ΔXYZ≅ΔLMN

∠Y = ∠M = 86°

∠X =∠L = 38°

XZ ≅ LN

Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

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Answer:

254.47 in²(rounded to nearest hundredth)

_________________________________________________________

[tex]A = \pi r^2[/tex]

tiny r means radius

² means multiply the number by itself twice

[tex]\pi r^2 = \pi * 9^2 = 81\pi(254.47~in^2)[/tex]

_________________________________________________________

Since the radius of a circle is 9 inches, the circle's area is equal to 254.34 square inches.

In Mathematics and Geometry, the area of a circle can be calculated by using this mathematical equation (formula):

Area = πr²

Where:

r represents the radius of a circle.

By substituting the given parameters into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 9²

Area of circle = 3.14 × 81

Area of circle = 254.34 square inches.

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Answer:

73008 views

Step-by-step explanation:

find 27% of 35100:

35100*27/100

=9477

so, you start with 35100 which means;

35100 + (9477*4)

35100 + 37908

= 73008 views

Answer: 91,311

Step-by-step explanation:

This is what it shows as correct on ixl.

Answer:

[tex]x =\dfrac 47[/tex]

Step-by-step explanation:

[tex]~~~~~9x-1 = 2x+3\\\\\implies 9x -2x = 3+1\\\\\implies 7x = 4\\\\\implies x =\dfrac 47[/tex]

Answer:

9(7p) is the expression.

Step-by-step explanation:

Let's multiply 7p and 9 to get product,

→ 7p × 9

→ 9(7p)

So, the product is 9(7p).

Answer:

D) A triangle where there is a 90 degree angle

Step-by-step explanation:

Answer:

a

.6666666 has been rounded up to .6666667

b

0.3333333 = 1/3

0.8333333 = 5/6

2.1666667 = 13/6

0.6666667 = 2/3

0.1428571429 = 1/7

1.6666667 = 5/3

Step-by-step explanation:

a

7 appears at the end of 3 of the decimals because it has been rounded up from 6.66666 recurring.

b

I will go through how to convert one decimal to a fraction:

0.833333333 = x

8.333333333 = 10x

83.33333333 = 100x

100x - 10x = 75

90x = 75

x = 75/90 = 5/6

Answer:

Reflection over the y-axis followed by a translation to the left by 2 units

Step-by-step explanation:

From inspection of the graph, the y-values of figure ABCD and the y-values of figure A'B'C'D' have not changed, yet the x-values have changed from positive to negative.

(x, y) →  (-x, y)

This indicates a reflection in the y-axis.

To reflect figure ABCD in the y-axis, simply change the x-values to negative:

A (1, 3)  →  (-1, 3)

B (3, 4)  →  (-3, 4)

C (2, 1)  →  (-2, 1)

D (1, 1)  →  ( -1, 1)

Comparing the x-values of the figure reflected in the y-axis to the x-values of the final translated figure, the reflected figure needs to be translated to the left by 2 units.

So the total transformation is: (x, y) → (-x - 2, y)

A (1, 3)  →  A' (-3, 3)

B (3, 4)  →  B' (-5, 4)

C (2, 1)  →  C' (-4, 1)

D (1, 1)  →  D' ( -3, 1)

The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

The given parameters are given as:

The equation is represented as:

y = mx + c

So, we have:

y = 2/3x -5

When x = 0, we have;

y = 2/3 * 0 -5 = -5

When x = 3, we have;

y = 2/3 * 3 -5 = -3

When x = 6, we have;

y = 2/3 * 6 -5 = -1

When x = 9, we have;

y = 2/3 * 9 -5 = 1

Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

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Answer:

3rd option, r(t) = 310t

Step-by-step explanation:

310 years is like the slope so you multiple it by the amount of years

example: in 2 years it would make 620 orbits since 310(2) = 620

Answer:

48.89

Hope this helps!!

Answer: 48.89

Step-by-step explanation:

     The proportion for tangent is the opposite side over the adjacent side.

[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]

Given:

tan(E) = [tex]\frac{55}{48}[/tex]

Inverse:

[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]

Simplify:

≈ 48.8879

Round:

≈ 48.89

Answer:

If the children divide evenly onto 3 buses, there will be 11 children on each bus

Step-by-step explanation:

Add all 3 classes to ind total amount of students

Ms. Noels class has 10 students

Mr. Grubbs class has 9 students

Ms. Ackerman's class has 14 students

Total Students: 10 students + 9 students + 14 students

33 total students

Dividing 33 students in 3 busses is 33 / 3 which equals 11

Check the picture below.

Answer:

1,260

Step-by-step explanation:

you have too do 2 by 3 by 5 by 6 by 7 so you get

1,260

Answer:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

Given/To Find:

What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

Answer choices:

x = the quantity of 3 plus or minus the square root of 37 all over 2

x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2

x = the quantity of negative 3 plus or minus the square root of 19 all over 2

Solve:

By using the quadratic formula, the solutions are

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]

[tex]x=\frac{3±\sqrt{37}}{2}[/tex]

Hence, the answer is :

x = the quantity of 3 plus or minus the square root of 37 all over 2

Kavinsky

Answer:

The exact solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

We are asked to find the exact solution of the polynomial equation which is given by:

[tex]x^2 - 3x - 7 = 0[/tex]

We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.

Now, on solving the quadratic equation i.e.  degree 2 polynomial equation using the quadratic formula:

That is any polynomial equation of the type:

[tex]ax^2+bx+c=0[/tex]

is solved by using the formula:

[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]

Here we have:

a=1, b=-3 and c=-7.

Hence, the solution of the equation is:

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]

[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]

[tex]x=\frac{3±\sqrt{37} }{2}[/tex]

Hence, the solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

( i.e.

[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )

The percent of the purchase price for Julio’s down payment was C. 18%

This refers to the amount of money that is added to a loan collected by a person, for when he makes repayment.

Hence,

Given that

We use the formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Pv= 1,558.09×((1−(1+0.05875÷12)^(−12×20))÷(0.05875÷12))

=219,684.92

Next thing to do is make a subtraction to get the down payment:

267,900−219,684.92=48,215.08

Then the percentage would be:

48,215.08÷267,900= 18% approx.

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Answer:

4,8

Step-by-step explanation:

because the lins equation goes through in 6

Answer:

The expected number of blue tiles is 20 blue tiles.

Step-by-step explanation:

You can easily do 80% x 25 or

0.8 x 25 = 20

OR (other method)
Turn the 80% into a fraction
80        x
----  =  -----
100     25

100 / 4 gives us 25, so 80 / 4 will give 20.

So the answer is 20 blue tiles.

[tex]2x+y-2z=-1\\\\x+0\cdot y-2z=-4\\\\0\cdot x -5y + 2z=-23\\\\\text{In}~ AX =B~ \text{form,}\\\\\begin{bmatrix} 2 & 1&-2\\ 1&0&-2\\ 0&-5&2\end{bmatrix} \begin{bmatrix} x\\y\\z\end{bmatrix}= \begin{bmatrix} -1\\-4\\-23\end{bmatrix}[/tex]