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Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

Answer:

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 3

Therfore, 12x = 12 (3) = 36

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

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Answer:

all you need to do is look over your notes continue to partice as much as you can

Step-by-step explanation:

you got this

Answer:

C.372

Step-by-step explanation:

A prism is a three dimensional shape with two identical shapes facing each other known as bases.

A triangular prism has two triangular bases and three rectangle.

From the net attached:

Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12  cm = 60 cm²

Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²

Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²

Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²

Answer:

2 2/3 kilometers

Step-by-step explanation:

t = 3y

let t = 8

8 = 3y

Divide each side by 3

8/3 = 3y/3

8/3 = y

2 2/3 kilometers

Answer:

2 2/3 kilometers

Step-by-step explanation:

Answer:

A) y/x

Step-by-step explanation:

_____________________

Answer:

Step-by-step explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and  y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

     = -17(x - 1)² + 0

     = -17x² + 34x - 17

Answer:

Both are false.

Step-by-step explanation:

Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

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Answer:

Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.

Answer:

4h + 100

Step-by-step explanation:

h = total number of hats

postcards = 2h

magnets = h + 100

Add them all together:

h + 2h + h + 100 = 4h +100

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

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Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer:

16 ft.

Step-by-step explanation:

Distance Formula:

A = (2,2)

B = (12,14)

So, sqrt(12^2 + 10^2) = 16 ft.

This is the same for B to C.

So, 16 ft.

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Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee