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3 years ago

How many different groups of 35 cars can be formed from 40 cars?

Mathematics

2 answers:

snow_tiger [21]3 years ago

7 0

658,008 i just looked it up and thats what i found.

Allushta [10]3 years ago

6 0

Answer:

658,008

Step-by-step explanation:

We need to make different groups of 35 cars out of 40 cars.

We will choose 35 cars from 40 cars.

Here we will use combination because arrangement doesn't matter.

If we choose a card for group the it might be any order.

either one 1st, 2nd .. or 10th .

It should be same group.

So, Combination of nCr(40,35)

Total number of different groups: $\Rightarrow ^{40}C_{35}=658,008$

Hence, The total 658,008 different group of 35 cars can be formed.

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5 to the power of 2 + (10-7) x 2 to the power of 3

Ivahew [28]

Answer:

241

Step-by-step explanation:

= 5^2 + (10 -7)^3 x 2^3 ^ = exponent

= 10 - 7 = 3

= 25 + 3^3 x 2^3

Calculate the exponents

= 25 + 27 x 8

= 27 x 8 = 216

= 25 + 216

= 241

Answer is 241

Hopes this Helps :D

Mark me Brainliest Please : )

6 0

2 years ago

For the x-values 1,2,3, and so on, the y-values of a function form an arithmetic sequence that decreases in value. What type of

amid [387]

Answer:

Decreasing linear

Step-by-step explanation:

its c

8 0

2 years ago

What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

To find the measure of angle R:

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0

3 years ago

Find the length of a third side of a right triangle

ANTONII [103]

The sides of a right triangle can be found using the Pythagorean Theorem: a^2+b^2=c^2

c is the hypotenuse (the longest side) of the right triangle and a and b are the two other legs. Knowing any two sides of the right triangle, you can find the other using this formula.

Hope this helps!

3 0

2 years ago

Read 2 more answers

PLS HELP! WILL GIVE BRAINLIEST

Leviafan [203]

Answer:

The center (2, 2.5), radius $\sqrt{37}$ / 2

Step-by-step explanation:

The standard form of the equation of a circle is:

( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

Rewrite the given equation in the standard form:

2x^2 + 2y^2 - 8x + 10y + 2 = 0
x^2 - 4x + y^2 + 5y = -1
x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
(x - 2)^2 + (y + 2.5)^2 = 37/4

The center is:

(2, 2.5)

And radius is:

$\sqrt{37}$ / 2

4 0

2 years ago