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3 years ago

Plz help also plz tell me step by step plz!

Mathematics

1 answer:

jolli1 [7]3 years ago

3 0

Answer:

A= 60

Step-by-step explanation:

1/2*12*10

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In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 t

kramer

Answer:

$\frac{10}{53 \times 46 \times 26}$

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

$\frac{1}{46}$

The number of possible pairs of numbers from 1 to 53 is

$\binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26$

Choosing 5 numbers, you are choosing 10 different pairs:

$\binom{5}{2} = \frac{5 \times 4}{2} = 10$

Therefore the probability of correctly matching the drawn pair is

$\frac{10}{53 \times 26}$

Thus, the probability of winning (matching the pair AND the gold ball) is

$\frac{10}{53 \times 46 \times 26}$

4 0

3 years ago

A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be built. If fenc

Vaselesa [24]

Answer:

$\frac{8h}{\sqrt{2}} + 16h$

Step-by-step explanation:

First we need to compute the side length as a function of h

So x be the side length of the right isosceles triangle, in Pythagorean formula we have

$x^2 + x^2 = h^2$

$2x^2 = h^2$

$x = \frac{h}{\sqrt{2}}$

The cost for the legs is

$C_l = 4*2x = \frac{8h}{\sqrt{2}}$

The cost for the hypotenuse is

$C_h = 16h$

So the total cost in term of h is

$C = C_l + C_h = \frac{8h}{\sqrt{2}} + 16h$

5 0

3 years ago

damaskus [11]

Answer:

Step-by-step explanation:

At the end of 10 years she will owe $12,500 × 1.05¹⁰ ≈ $20,361.

$12,500 of that is the original loan, so the interest is $20,361 - $12,500 = $7,861

3 0

3 years ago

Isabella caries a box up a metal ramp into the back truck. The ramp is 3 meters long and the bottom makes a 32 degree angle with

Bogdan [553]

Answer:

2.5 m

Step-by-step explanation:

Consider the ramp, the ground and the back of the lorry to form a right triangle where the ramp is the hypotenuse and the distance from the back of the lorry is the adjacent side, x

Using the cosine ratio in the right triangle

cos32° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{3}$

Multiply both sides by 3

3 × cos32° = x, hence

x ≈2.5 m

6 0

3 years ago

-10x+3y=5 systems of equations with substitution

Genrish500 [490]

Answer:

x=3/10y+-1/2

Step-by-step explanation:

Add -3y to both sides

-10x+3y=5

-3y -3y

-10x=3y+5

Divide both sides by -10

-10x=3y+5

_________

-10 -10

x=3/10y+-1/2

8 0

3 years ago