Use distributive property to factor method 1. Use distributive property to expand method 2.

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Answer and explanation:

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Answer:

4.089

Step-by-step explanation:

24 degree is the Angle of elevation. SO we can use in this triangle Tan.

So tan 24 = AB/BC because tan is the ratio of height over adjacent.

So we can say it is tan 24 = (1.82)/BC

So BC = (1.82)/tan(24) = 4.089m

BC is representing shadow of men. So shadow of men is 4.089m

Answer:

You can say that √105 is somewhere between 10 and 11 because 105 lies between the squares of 10 and 11 (100 and 121, respectively). However, 105 isn't a perfect square, so you can't really find its exact square root. If you have a calculator with you, you can solve for an approximate of √105 which is 10.246950766.

Step-by-step explanation:

Answer: i believe your answer is c! i hope that helps!

Step-by-step explanation: im sorry ifs not, im not the gratest at this:(

Given:

Total number of girls in her class = 16

Total number of boys in her class = 14

To find:

The number of different ways of choosing one girl and one boy.

Solution:

We have,

Total number of girls = 16

Total number of boys = 14

So,

Total number of ways to select one girl from 16 girls = 16

Total number of ways to select one boy from 14 boys = 14

Now, number of different ways of choosing one girl and one boy is

[tex]16\times 14=224[/tex]

Therefore, the required number of different ways is 224.

a. The number of  different ways of choosing one girl and one boy is 226

Total number of ways to select one girl from 16 girls = 16

Total number of ways to select one boy from 14 boys = 14

So, the number should be

[tex]= 16 \times 14[/tex]

= 224

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Answer:

It does NOT represent a function

Step-by-step explanation:

This DOES NOT represent a function because in the diagram 1 is connected to 8 and -3. If it was a function the number would connect to only one of them.

Answer:

Since 2032 gt 1651, we divide 2032 by 1651 to get 1 as quotient and 381 as remainder. step 2. Since the remainder 381≠0 , we divide 1651 by 381 to get 4 as quotient and 127 as remainder.

Step-by-step explanation:

Euclid algorithm lemma, a = bq + r where 0 ≤ r < b

From Euclid algorithm lemma, 2032 = 1651 × 1 + 381

Using lemma for 1651 and 381, e.g., 1651 = 381 × 4 + 127

Similarly, use lemma for 381 and 127, e.g., 381 = 127 × 3 + 0

Hence, HCF = 127

Now, 127 = 1651M + 2032 N

⇒127 = (127 × 13)M + (127 × 16)M

⇒1 = 13M + 16 N

Here many solutions possible because we have one equation contains two variable.

Assume M = 5 and N = -4

Then, 13 × 5 + 16 × -4 = 65 – 64 = 1

So, HCF of 1651 and 2032 in the form of 1651M + 2032 N is [1651(5) + 2032(-4)]

Answer:

7

3

Step-by-step explanation:

First Solution

X=7

4= 12

Making X Subject of the formula

we have,

X= 7×4 = 28 = 14 = 7

12 12 6 3

OR

You cross multiply

X multiplies 12= 12X

7 multiplies 4= 28

you now have 12X=28

divinding both sides by 12,

12 cancels 12 and leave X

Answer:

x = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{4}[/tex] = [tex]\frac{7}{12}[/tex] ( cross- multiply )

12x = 28 ( divide both sides by 12 )

x = [tex]\frac{28}{12}[/tex] = [tex]\frac{7}{3}[/tex] ← in simplest form

Answer:

The correct answer is 4 sec

Step-by-step explanation:

The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.

A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.

The highest power to a variable is the degree of the polynomial expression.

When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.

We are asked how long it takes for the soccer ball to return to the ground.

To calculate the time for the ball to return to the ground, we take height y = 0.

Our equation therefore is,

0 = -16t² + 64t

or, 16t² - 64t = 0

or, t² - 4t = 0

or, t(t-4) = 0

∴ Either, t = 0; Or, t-4  = 0 ⇒ t = 4.

∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.

∴ The ball takes 4 seconds to return to the ground.

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Answer:

Option D

Step-by-step explanation:

See attached image

Answer:

use the picture to solve the equation

Answer:

Step-by-step explanation:

4-t=3t-3-5

-t-3t= -8-4

-4t=-12

t=12/4

t=3

Good luck!

Step-by-step explanation:

B

Answer:

x=12

Step-by-step explanation:

For the given situation , a quantity x is added to [tex]\frac{1}{4} x[/tex] gives 15.

We can set up equation as

[tex]x+\frac{1}{4}x=15[/tex]

Multiply each term by 4 on both sides to get rid the denominator.

It gives,

4 x+x=60

Now, combine like terms

5 x=60

Divide both sides by 5

x=12.

Answer:

43.1

Step-by-step explanation:

Similar shapes have sides of the same proportions. This means that one shape is just an enlargement of the other.

In this case, triangle MNO is an enlargement of triangle JKL so we can work out a scale factor.

To work out the scale factor, we can do 58.8 ÷ 15 = 3.92. To find side NO, all we have to do is multiply 11 by 3.92 to get 43.12 ≈ 43.1 (rounded to the nearest tenth).

Hope this helps!

Answer:

1: 3 billion

2: 1/1/14

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

C

Step-by-step explanation:

It goes up by 225 each time. The others go up by different numbers each time.

Answer:

20%

Step-by-step explanation:

200÷1000×100

.......

Answer:

f(x)=-5(2)-9

Step-by-step explanation:

linear equation- f(x)=m(x)-y

x- the x intercept

y- the y intercept

m- slope

x=-5, y=-9 , m=-5

Answer:

8

Step-by-step explanation:

32 is equivalent to 32/1. So you can treat this as 1/4 x 32/1. Then, multiply the numerators together and then the denominators together. You will get 32/4. Simplified, this is equal to 8.

Answer:

The number of locks will be 3

The total cost = $50

Step-by-step explanation:

We are trying to write the equations of the cost in the form of the equation of a straight line

The equation will be;

C = F + 15r

where F is the price for house lock , C is total cost and r is the amount per rekey

For the first locksmith;

His equation will be ;

C = 25 + 15r

For the second

C = 10 + 20r

If the total cost is the same for both;

then;

10 + 20r = 25 + 15r

20r - 15r = 25 - 10

5r = 15

r = 15/5 = 3

For the total cost to be same, number of locks is 3

The total cost will be ;

C = 20 + 10(3) = 20 + 30 = $50

Answer:

3. Speed

Step-by-step explanation:

acceleration is measured in m/s^2

velocity is speed plus direction

speed in measured in m/s

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Answer:

πr² x h and πr² x 2h

Step-by-step explanation:

Volume of Cylinder = base area x height
Volume of Cylinder = πr² x h

Volume with same radius but double the height:

Volume = πr² x 2h

Answer: m= y/3x + 8/3x

Step-by-step explanation:

The expression of the league fee is an algebraic expression

The expression that represents the league fee is 14x

The expression is given as:

14x + 20(2y + ) 5z + 10

The expression is not properly stated;

Only the league fee can be deducted from the given expression.

From the question, we understand that there are 14 players in total

i.e you (1) and (13) others

This means that the total league fee for the 14 players is:

Total = 14 * League fee for each player.

One of the terms of the expression is 14x.

So, we have:

14 * League fee for each player. = 14x

Hence, the expression that represents the league fee is 14x

Read more about algebraic expressions at:

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Step-by-step explanation:

3.3rd option

4.1st option

5.x=-10

6.x=6

7.109

8.75

9.24

10.19

Answer:

[tex]4\pi[/tex]

Step-by-step explanation:

S = Arc Lenth

θ = Radians

R = Radius

S = θR

So, now that we understand the formula, we will convert 72° into radians by introducing the equation [tex]x*\frac{\pi }{180}[/tex], x = 72

S =  [tex]72*\frac{\pi }{180} * R[/tex]

given that R = 10

S = [tex]\frac{72*10*\pi }{180}[/tex]

S = [tex]\frac{720*\pi }{180}[/tex]

We simplify 720 as 180 goes into 720 4 times and we get

S = [tex]4\pi[/tex]

Hope this helps

Answer:

Step-by-step explanation:

3x+2x is 5x

6+14 is 20

5x+20  

if you are looking for this answer

x=4

divide 5 by 5x and 20 by 5