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3 years ago

Solve for r. This is for combinations and permutations.

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

I'm guessing it could be B or D...I'm not 100% sure.

Step-by-step explanation:

It could be B because 5 can divide 45

It could be D because they are both even numbers.

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3 years ago

Will What will -3 be in this problem if it replaced the -x? Y= -x+6

Fiesta28 [93]

Answer:

Step-by-step explanation:

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3 years ago

Find all values of x that make the triangles congruent. Explain your reasoning.

RSB [31]

Answer:

x = $\frac{4}{5},5$

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

$\frac{AB}{BD}=\frac{AC}{CD}$

$\frac{5x}{3x+10}=\frac{5x-2}{4x+3}$

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

(5x - 4)(x - 5) = 0

$x=\frac{4}{5},5$

3 0

3 years ago

PLEASE HELP I NEED THIS IS DUE IN AN HOUR!!! 40 POINTS!!!Sherelle and Venita’s grandmother said that one of the bags has a coin

nikdorinn [45]

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

7 0

2 years ago

In the right hexagonal pyramid below. The hexagonal base is regular and has sides that are 8 units long. The altitude of the pyr

Korvikt [17]

Answer:

The volume is 997.62 cubic units..

Step-by-step explanation:

We are given the following details:

The pyramid has a regular hexagonal base i.e. each side of hexagon is equal.

Side of hexagonal base, a = 8 units

Altitude of pyramid, h = 18 units

We have to find the volume of pyramid.

Formula:

$V = \dfrac{1}{3} \times B \times h$

Where, B is the area of base of pyramid.

h is the height/altitude of pyramid

To calculate B:

Here, base is a hexagon with side 8 units.

$\text{Area of hexagon, B }= 6 \times \dfrac{\sqrt{3}}{4}a^{2}$

Here, a = 8 units

$\Rightarrow B = 6 \times \dfrac{\sqrt{3}}{4}\times 8^{2}\\\Rightarrow B = 166.27\text{ square units}$

Putting values of B and h in Formula of volume:

$\Rightarrow V = \dfrac{1}{3} \times 166.27 \times 18\\\Rightarrow V = \dfrac{2992.89}{3} = 997.62\text{ cubic units}$

Hence, the volume is 997.62 cubic units.

4 0

3 years ago