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DiKsa [7]
2 years ago
9

Find the value of x.

Mathematics
1 answer:
dimaraw [331]2 years ago
5 0

Answer:

2\sqrt{77}

Step-by-step explanation:

Use the Pythagorean theorem. a^{2} +b^{2}=c^{2}

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

a^{2} +4^{2} =18^{2}

Solve for x

x^{2} =18^{2} -4^{2}

x^{2} =308

x=\sqrt{308}

x=2\sqrt{77}

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

3 0
3 years ago
There are 7 girls on a bus. each girl has 7 backpacks. each backpack has 7 big cats. each big cat has 7 little cats. how many le
Vera_Pavlovna [14]
7 girls on a bus, each has two legs. 7 * 2 = 14. 

Each girl has 7 backpacks. So 7 * 7 = 49. 

49 * 7 = 343 cats in total 

343 * 4 = 1,372 cat legs. 

343 * 7 = 2401 small cats 

2401 * 4 = 9,604 cat legs 

14 + 1,372 + 2,401, + 9,604 = 10,990 legs in total
6 0
2 years ago
Read 2 more answers
Simplify the following expression : 2 (2x-3)+5 (6x+1)
vivado [14]
To simplify begin by distributing the multiplication outside the parenthesis: 
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7 0
3 years ago
Im a randomly generated list of numbers from 0 to 6, what is the chance that each number will occur?
Bumek [7]

Answer:

1/7

Step-by-step explanation:

The list of numbers generated is; 0, 1, 2, 3, 4, 5, 6,

There are 7 possible outcomes and each outcome is equally likely. The probability or chance that each number will occur is given by;

number of times the number occurs / 7

In our case, each number occurs only once, so the chance will be;

1/7

4 0
3 years ago
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5x + 10 = 5(x + 2)<br>ANASAN​
vfiekz [6]

Answer:

True for all x

Step-by-step explanation:

6 0
3 years ago
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