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tatyana61 [14]
3 years ago
15

The probability of selecting a "5" from a deck of playing cards is

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Answer:

1- 4/52 2- 50% 3- 50% 4- 13/52

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2.The diagonals of a rhombus are in the ratio 5:12. If its perimeter is 104 CM, findthe lengths of the sides and the diagonals.​
coldgirl [10]

Answer:

Lenghts of the sides: 26\ cm

Lenghts of the diagonals: 48\ cm and 20\ cm

Step-by-step explanation:

Look at the rhombus ABCD shown attached, where AC and BD de diagonals of the rhombus.

The sides of a rhombus have equal lenght. Then, since the perimeter of this one is 104 centimeters, you can find the lenght of each side as following:

AB=BC=CD=DA=\frac{104\ cm}{4}= 26\ cm

You know that the diagonals are in the ratio 5:12

Then, let the diagonal AC be:

AC=12x

This means that AE is:

AE=\frac{12x}{2}=6x

And let the diagonal BD be:

BD=5x

So BE is:

BE=\frac{5x}{2}=2.5x

Since the diagonals of a rhombus are perpendicular to each other, four right triangles are formed, so you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, you can choose the triangle ABE. Then:

a=AB=26\\b=AE=6x\\c=BE=2.5x

Substituting values and solving for "x", you get:

26^2=(6x)^2+(2.5x)^2\\\\676=36x^2+6.25x^2\\\\\sqrt{\frac{676}{42.25}}=x\\\\x=4

Therefore, the lenghts of the diagonals are:

AC=12(4)\ cm=48\ cm

BD=5(4)\ cm=20\ cm

8 0
3 years ago
Please help!!! trying to finish early
Scrat [10]
To solve this problem you must apply the proccedure shown below:

 The linear functions have the form y=mx+b

 where m is the slope and b is the y- intercept

 Therefore, you have:

 1) The slope -6/5 and b=(0,8) is:

 y=(6/5)x+8

 
2) You have 3x-2y=1. Then, you only have to clear y:

 y=(3/2)x-1/2
6 0
3 years ago
There are x boys playing in the park. The number of girls playing in the park is equal to the square root of the number of boys.
konstantin123 [22]

Answer:

Option A. 36

Step-by-step explanation:

Let

x-------> the number of boys

y------> the number of girls

we know that

x+y=42 -----> equation A

y=\sqrt{x} -----> equation B

using a graphing tool to solve the system of equations

Remember that the solution is the intersection point both graphs

The solution is the point (36,6)

see the attached figure

therefore

The number of boys is 36

7 0
3 years ago
Is (0,0) a solution to this system?
e-lub [12.9K]

Answer:

A. Solution to y \ge x^2 - 4 but not to y < 2x - 1

Step-by-step explanation:

Given

y \ge x^2 - 4

y < 2x - 1

Required

Is (0,0) a solution?

(0,0) implies that:

x = 0\ and\ y = 0

To check if it is a solution or not, we simply substitute 0 for x and for y in the given inequalities

y \ge x^2 - 4 becomes

0 \ge 0^2 - 4

0 \ge 0- 4

0 \ge - 4

This solution is true

y < 2x - 1 becomes

0 < 2 * 0 - 1

0 < 0 - 1

0 < - 1

This solution is not true because 0 is greater than 1.

Hence, option (A) is correct

7 0
3 years ago
Linda is filling the mold above with water and freezing it for an ice project. If a = 8 cm and b = 7 cm, what will be the volume
kaheart [24]

The volume of the frozen figure is 736 cm³

<h3>Volume of a prism </h3>

From the question, we are to determine the volume of the frozen figure

In the given diagram,

The volume of the frozen figure = a³ + 1/2(a²b)

From the given information,

a = 8 cm

b = 7 cm

∴ Volume of the frozen figure = 8³ + 1/2(8² ×7)

Volume of the frozen figure = 512 + 1/2(448)

Volume of the frozen figure = 512 + 224

Volume of the frozen figure = 736 cm³

Hence, the volume of the frozen figure is 736 cm³

Learn more on Calculating volume of a prism here: brainly.com/question/13175744

#SPJ1

7 0
2 years ago
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