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3 years ago

90 points

Mathematics

2 answers:

yan [13]3 years ago

5 0

Answer:

Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.

One leg (a) is 5. The other leg (b) is 13.

Let's use Pythagorean Theorum.

5^2 + 13^2 = c^2

5 • 5 = 25

13 • 13 = 169

25 + 169 = 194.

Step-by-step explanation:

Hope this helps

PIT_PIT [208]3 years ago

5 0

Answer:

a² + b² = c²

5² + 13² = c²

Square root 194 equals square root c squared.

13.93 ≈ c

Step-by-step explanation:

a² + b² = c²

Where a and b are the lengths of the legs, and c is the length of the hypotenuse

5² + 13² = c²

25 + 169 = c²

194 = c²

square root both sides

13.93 ≈ c

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3 years ago

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prisoha [69]

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

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Lateral height of the cone = h

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l² = r² + h²

6² = 1² + h²

h = $\sqrt{36-1}$

h = $\sqrt{35}$

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Since, formula for the volume of the cone V = $\frac{1}{3} \pi r^{2} h$

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4 0

3 years ago

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic

Marina CMI [18]

Answer:

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

Step-by-step explanation:

Let $x$ be the number of student tickets sold.

Let $y$ be the number of adult tickets sold.

As per the question statement, total tickets sold are 40.

$x +y =40 ...... (1)$

Price of each student ticket = $5

Sales from students' tickets = Price of each students ticket $\times$ Number of students tickets sold

Sales from student's tickets = 5 $\times x$

Price of each adult ticket = $9

Sales from adult's tickets = Price of each adult's ticket $\times$ Number of adult tickets sold

Sales from student's tickets = 9 $\times y$

Total sales is done by students and adult tickets is $240 as per the question statement.

$\Rightarrow 5x + 9y = 240 ......(2)$

Solving equations (1) and (2) using elimination method:

Equation $(2) - 5 \times (1)$ :

$5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10$

Total number of adult tickets sold = 10

Putting $y=10$ in equation (1):

$x+10 = 40\\\Rightarrow x = 30$

Total number of students tickets sold = 30

Total number of adult tickets sold = 10

Total Number of Students tickets sold = 30

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3 years ago

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3 years ago

2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converte

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Answer:

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2 years ago