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yuradex [85]
3 years ago
12

You draw a card from a standard deck of 52 cards. What is the probability of drawing a

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

1/13

Step-by-step explanation:

There are 4 king cards:

King of Hearts

King of Diamonds

King of Clover

King of Spades

This is 4 cards in a standard deck of 52. Set as a fraction 4/52.

Simplify:

(4/52)/(4/4) = 1/13

1/13 is the probability of drawing a KIng card.

~

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Please help me out please
frosja888 [35]

Answer:

302 m³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = \frac{1}{3} πr²h

where r is the radius and h the height

Consider the right triangle from the vertex of the cone to the midpoint of the base and the radius

with hypotenuse = 10 cm

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = \sqrt{64} = 8

Hence

V = \frac{1}{3} π × 6² × 8

  = \frac{1}{3} π × 36 × 8

   = \frac{36(8)\pi }{3} ≈ 302 m³

7 0
3 years ago
A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t
Bogdan [553]

Answer:

\displaystyle A=\frac{3h^2}{2}+h

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

\displaystyle A=\frac{b_1+b_2}{2}\cdot h

The dulcimer has the following dimensions

b_1=2h+1

b_2=h+1

and height h

Thus

\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h

Operating

\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h

\boxed{A=\frac{3h^2}{2}+h}

Is the required polynomial

8 0
3 years ago
Help plss I only need 5
pochemuha

Answer:

Acute scalene triangle

Step-by-step explanation:

The triangle is acute because all of the angles are less than 90 degrees.

It is scalene because the 3 sides are all different lengths.

4 0
3 years ago
The sum of two numbers is 39 and the difference is 3. What are the numbers?
frosja888 [35]

Answer: 21 & 18

Step-by-step explanation:

Sum of two numbers is 39

Difference is 3

Let the numbers be x & y

X+y=39........equation 1

X-y=3...........equation 2

X=3+y............equation 3

Substitute equation 3 into equation 1

(3+y)+y=39

3+y+y=39

3+2y=39

2y=39-3

2y=36

Y=36/2

Y=18

Substitute for y in equation 2

X-y=3

X-18=3

X=3+18

X=21

The two numbers are 21 & 18

8 0
3 years ago
Can someone help me with the ones that aren’t done
garri49 [273]

5:

C = 5/9(F - 32)

C = 5/9(F) - 17.777

-5/9(F) + C = -17.777

-5/9(F) = -C - 17.777

F = 5/9(C) + 32.0306

7 0
3 years ago
Read 2 more answers
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