State GCF of following monomials 18m5n4 and 45m3n6

Answer:

Area of rectangle = 150 cm

Step-by-step explanation:

Given the following data;

To find the area of the rectangle;

First of all, we would determine the dimensions (length and width) of the rectangle;

For length;

Length, L = 2x

For width;

Width, W = 3x

Mathematically, the perimeter of a rectangle is given by the formula;

P = 2(L + W)

50 = 2(2x + 3x)

50 = 2(5x)

50 = 10x

x = 50/10

x = 5

Length, L = 2x = 2 * 5 = 10 cm

Width, W = 3x = 3 * 5 = 15 cm

Now, we would find the area of the rectangle;

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Area of rectangle = 10 * 15

Area of rectangle = 150 cm

Step-by-step explanation:

The area of triangle given as 120 cm2

Area of Triangle = 1/2 x b x h = 120

therefore bxh = 240

240 can be factorized as 10 x 24

The perimeter of the triangle is given as 60

so the other side has to be 26 cm

As this is a right angle triangle it should satisfy pythagoras theorem

(10)2 + (24)2 = (26)2

100+576 =676

Hence the sides of the triangle are 10 cm, 24 cm and 26 cm

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

⇒x (x+2) + x + 2

⇒x² + 2x + x + 2

⇒x² + 3x + 2

☛ By Splitting the middle term method

⇒x² + 3x + 2

⇒x² + 2x + x + 2

⇒ x(x+2)+1(x+2)

⇒ (x+1) (x+2)

Answer:

use the formula a^3+b^3= (a+b)-3ab(a+b)

in above question assume (a+b) as a and 1 as b

later in (a+b+1) take (a+b) as a and 1 as b

and use the formula (a+b)^2 = a^2+2ab+b^2

Answer:

the angle GHJ would be 76 because the central angle is always double the measurement of the inscribed angle

Answer:

A

Step-by-step explanation:

cause it will be more faster just because it is in a solid phase or it is solid

The time taken to hit the ground is 6.25 sec.(Option B)

How to calculate time?

It is given that penny follows the trajectory:

[tex]y = -4.9x^2 + 32x + 425[/tex]

Differentiating it we get:

[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]

At y=425, it is obvious that x=0

So dy/dx at x=0 is 32.

Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).

Ф[tex]=\tan^{-1}(32)[/tex]

Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec

Now applying the equation of motion: acceleration=-32ft/sec^(2)

u=31.98ft/sec   s=-425   t=?

[tex]s=ut+\frac{1}{2} at^{2}[/tex]

[tex]-425=31.98t-16t^2[/tex]

[tex]16t^2-31.98t-425=0[/tex]

Solving the quadratic equation we get:

t=6.249 sec≅6.25 sec

Therefore, the time taken is 6.25 sec.

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Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

Answer:

[tex]h = \frac{2A}{b + c}[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}(b + c)h[/tex]

Required

Solve for h

We have:

[tex]A = \frac{1}{2}(b + c)h[/tex]

Multiply sides by 2

[tex]2A = (b + c)h[/tex]

Make h the subject

[tex]h = \frac{2A}{b + c}[/tex]

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Sample response

Answer:

d

Step-by-step explanation:

trust me gang

Answer:

the degree is the value of the highest exponent... 4x^3 the exponent is a three

answer "D"

Step-by-step explanation:

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.

P(A) = 1/3

P(B) = 2/5

P(A and B) = P(A)*P(B)  assuming A,B are independent

P(A and B) = (1/3)*(2/5)

P(A and B) = 2/15

--------

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 2/5 - 2/15

P(A or B) = 5/15 + 6/15 - 2/15

P(A or B) = (5 + 6 - 2)/15

P(A or B) = 9/15

We could reduce this to 3/5, but it appears your teacher has chosen not to.

Formulas are already included that will calculate the totals for you.

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

Answer:

x p t^2

p = 0

t = 0

x = 0

Δ = 0

Paridad

extraño

d/dx(x p t^2) = p t^2

Step-by-step explanation:

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

Answer:

47°

Step-by-step explanation:

cos ? = 36/53

? = arccos (36/53)

? = 47 (rounded to the nearest degree)

Answered by GAUTHMATH

Answer:

A = 120, P = 55

Step-by-step explanation:

Triangle

Area = (bh)/2

A = (20x12)/2

A =240/2

A = 120

Perimeter = a + b + c

to find c, use a^2 +b^2 = c^2

20^2 + 12^2 = c^2

400 + 144 = c^2

544 = c^2

c = about 23

20 + 12 + 23 = 55

Answer:

1/8

Step-by-step explanation:

f^-1 part makes it into a fraction

LOL

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

Answer:

total blackberry: $23

total blueberry: $12.80

total: $35.80

Step-by-step explanation:

the blackberry jam is $5/lb

therefore, 4.6 pounds of it -

5 x 4.6

=23

the blueberry jam is $8/lb

using the same method we do

8 x 1.6

=12.8

adding the two totals -

23 + 12.8 = 35.8

in other words, the two jams will be $35.80

Answer:

-4= -2/u

or, -4u= -2

or, u= -2/-4

u=1/2

Answer:

(-3)

Step-by-step explanation:

follow me if you want

18 people is 25% less people so will take 25% longer

25% of 15 is 3.75

3.75+ 15 = 18.75 days ?

Answer:

B) f(x) = 1/x-1

Step-by-step explanation:

You can type it into desmos graphing calculator- hope this helps

Option (B) is correct.

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"

For the given graph,

The functions are

(A) [tex]f(x)=\frac{1}{x}[/tex]

(B) [tex]f(x)=\frac{1}{x-1}[/tex]

(C) [tex]f(x)=\frac{1}{x+1}[/tex]

Plot all these functions in the graph. We can obtain the graph as shown for option (B).

Hence we can conclude that option (B) is correct.

Learn more about graphing functions here

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