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3 years ago

11

A problem states: "There are 7 more girls than boys in a club. There are 23 members in the club in all. How many girls are there

in the club?"
Let g represent the number of girls.

Which expression represents the number of boys?

g + 7

g⋅7

g−7

7−g

1 answer:

irina [24]3 years ago

8 0

Answer:

C

Step-by-step explanation:

there are 7 more girls

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Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464

Vika [28.1K]

Answer:

$L=3.999 \: dm$

$A=183.4581\:dm^{2}$

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

$a_{p}=L\frac{2+\sqrt{3}}{2}$

Sabiendo que la apotema es 7.464 el lado sera:

$L=\frac{2*a_{p}}{2+\sqrt{3}}$

$L=\frac{2*7.464}{2+\sqrt{3}}$

$L=3.999 \: dm$

Por otro lado el area de un dodecágono regular esta dada por:

$A=6a_{p}L$

$A=6*7.646*3.999$

$A=183.4581\:dm^{2}$

Espero te haya sido de ayuda!

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3 years ago

The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m

LuckyWell [14K]

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

n=46, n=-47

n cannot be negative

n=46

Answer 46

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3 years ago

Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w = 10 find u and v.

tangare [24]

a. The value of v is 9.2

b. The value of u is 9.9

<h3>What are vectors?</h3>

Vectors are physical quantities that have both magnitude and direction

<h3>How to find the value of vectors u and v?</h3>

Since we have vectors

u at 70° to the x-axis

v at 47° to the x-axis and
w = 10 at 15° to the x-axis,

We resolve them into component form

So, u = -(ucos70°)i - (usin70°)j

u = -(0.3420u)i - (0.9397u)j

v = -(vcos47°)i + (vsin47°)j

v = -(0.6820v)i - (0.7314v)j

w = (wcos15°)i + (wsin15°)j

w = (0.9659w)i + (0.2588w)j

w = (9.659)i + (2.588)j

Since the sum of the three vectors is zero, we have that

u + v + w = 0

u + v = -w

So,

-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]

-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]

-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]

-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j

Equating i components, we have

-[0.3420u + 0.6820v]i = -9.659i

0.3420u + 0.6820v = 9.659

Dividing through by 0.3420. we have

u + 1.994v = 28.242 (1) and

Also, equating j components, we have

- [0.9397u + 0.7314v]j = -2.588j

0.9397u + 0.7314v = 2.588

Dividing through by 0.9397 we have

u + 0.778v = 2.754 (2)

<h3>a. The value of v</h3>

Subracring equation (2) from(1),we have

u + 1.994v = 28.242 (1)

-

u + 0.778v = 2.754 (2)

2.772v = 25.488

v = 25.488/2.772

v = 9.19

v ≅ 9.2

The value of v is 9.2

<h3>b. The value of u</h3>

Substituting v into (1), we have

u + 1.994v = 28.242 (1)

u + 1.994(9.19) = 28.242

u + 18.325 = 28.242

u = 28.242 - 18.325

u = 9.917

u ≅ 9.9

The value of u is 9.2

Learn more about vectors here:

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2 years ago

Express 52 thousandths in scientific notation

Alexus [3.1K]

Answer:

5.2 x 10^-2

Step-by-step explanation:

Scientific notation is used to simplify very large or very small numbers.

The formula for scientific notation is (a x 10^ n)

(a) is a number that is both greater than 1 and less than 10

(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.

First you should write out the number.

0.052

Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)

For this problem you will move the decimal place 2 places to the right to create the number 5.2.

Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.

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A boat operates under its motor and 10 m/s and is headed downstream. If the river flows downstream at 2m/s, what is the resultan

Simora [160]

Answer:

The resultant velocity will be 12m/s

Step-by-step explanation:

If the river flows downstream at 2m/s and also the boat is heading downstream at 10m/s. You can add the two velocities to get the resultant velocity:

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3 years ago

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