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3 years ago

Please answer it now in two minutes

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

Answer:

5.5

Step-by-step explanation:

We use right triangle XVW.

For <W, VX is the opposite leg.

WX is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

$\sin W = \dfrac{opp}{hyp}$

$\sin W = \dfrac{VX}{WX}$

$\sin 43^\circ = \dfrac{VX}{8~mi}$

$VX = 8~mi \times \sin 43^\circ$

$VX = 5.5~mi$

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Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.

mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = $^{6}C_{1}\times^{4}C_{3}=6\times4$ =24

2 Boy and 2 girls= $^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90$

3 Boys and 1 girl = $^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80$

4 Boys = $^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15$

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0

3 years ago

A cylindrical tank lying on its side is filled with liquid weighing 50lb/ft^3. Find the work required to pump all the liquid to

nikklg [1K]

<span>You can use the fact that the work done is equivalent to finding the center of mass of the water in the tank(which is at the center of the cylindrical cross section, which is 3 ft below the level to which the liquid is pumped. Call this distance h.
You then need the total mass of the liquid, volume X density=m. This is where pi comes in!
Work needed =mgh, where g is the gravitational acceleration.</span><span>
</span>

4 0

2 years ago

Four times a number is equal to the number increased by 15. Enter the equation that represents Karla's sentence into the box. Us

Montano1993 [528]

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

First, Collect like terms

4y - y = 15

3y = 15

Then, Divide both sides by 3

3y/3 = 15/3

y = 5

Hence, the variable (unknown number) is 5.

5 0

2 years ago

What is the prime factor of 350

scZoUnD [109]

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

8 0

2 years ago

Read 2 more answers

Help me please help if know what the answer please?!!?!??faster

Fiesta28 [93]

Answer:

like 29%

Step-by-step explanation:

there are 4 male freshmen out of 4+6+2+2=14 total males and 4/14 is like 28.5714... and so you round

3 0

2 years ago