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RUDIKE [14]
3 years ago
11

In how many ways can a teacher seat 5 girls and 5 boys in a row of 10 seats if a boy is seated

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

3

Step-by-step explanation:

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DONT SKIP HELP PLZZZZZZZZZZZZZ
ycow [4]

Option D: The distance between the two points is 13 units

Explanation:

It is given that the two points are (-5,-2) and (8,-3)

We need to determine the distance between the two points.

It is also given that the distance between the two points can be determined using the formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting the points (-5,-2) and (8,-3) for the coordinates (x_1,y_1) and (x_2,y_2)

Thus, we get,

d=\sqrt{(8-(-5))^2+(-3-(-2))^2}

Simplifying, we have,

d=\sqrt{(8+5)^2+(-3+2)^2}

Adding the terms, we get,

d=\sqrt{(13)^2+(-1)^2}

Squaring the terms, we have,

d=\sqrt{169+1}

Adding the terms, we get,

d=\sqrt{170}

Simplifying and rounding off the value to the nearest tenth, we have,

d=13.0 \ units

Hence, the distance between the two points is 13 units.

Therefore, Option D is the correct answer.

6 0
3 years ago
Round 6,362 to the nearest hundred
spin [16.1K]

Its 6,400 because 5 or above give it a shove .

3 0
3 years ago
Please help me <br>thank ​
stepan [7]
(1) is C because hydro is water
(2) is C because the mantle is made of mostly Nickel and some other metal I don’t remember
(3) is C because geo is rock
3 0
3 years ago
if the area of a sector is 15pi square cm and the radius is 5cm find the measure of the central angle​
GalinKa [24]

Given:

Area of a sector = 15\pi

Radius = 5 cm

To find:

The central angle.

Solution:

The area of a sector is:

A=\dfrac{1}{2}r^2\theta

Where, r is the radius and \theta is the central angle in radians.

Putting A=15\pi, r=5 in the above formula, we get

15\pi=\dfrac{1}{2}(5)^2\theta

Multiply both sides by 2.

30\pi=25\theta

Divide both sides by 25.

\dfrac{30\pi}{25}=\theta

\dfrac{6\pi}{5}=\theta

Therefore, the central angle in radians is \theta=\dfrac{6\pi}{5}.

4 0
3 years ago
Find ModifyingBelow lim With h right arrow 0limh→0StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h for th
UkoKoshka [18]

Answer:

Answer is 88

Step-by-step explanation:

We have Given function

f(x)=88x-77

we have to find f'(x) at x=3  Where f'(x) shows derivative of the given function.

This means we need

f'(3)=?

So By definition of the Derivative that is

f'(x)=lim(h---->0)(f(x+h)-f(x))/h

so this our definition of derivative of the function

Now We have to find out at x=3, So By putting x =3 in definition ,We get

f'(3)=lim(h---->0)(f(3+h)-f(3))/h

   Here lim(h--->0) means limit h approaches to zero(right arrow 0limh→0)

     =lim(h---->0)((88(3+h)-77))-(88(3)-77))/h

     =lim(h---->0)((264+88h-77)-264+77)/h

     =lim(h----->0)(264+88h-77-264+77)/h

now by performing simple arithematic we get result

f'(3) = lim(h---->0)(88h/h)

f('3) = lim(h---->0)(88)

here we use law of the limit we limit of the constant is that constant

lim(h----->0)c=c

so

f'(3)=88

So this our answer

4 0
3 years ago
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