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statuscvo [17]
3 years ago
14

Please help me with this homework

Mathematics
2 answers:
ankoles [38]3 years ago
4 0
The length of the hypotenuse is 13
stiv31 [10]3 years ago
4 0

Answer:

D) 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

\sqrt{c^2} =\sqrt{169}

c = 13

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What is the inverse of the function
cluponka [151]

Answer:

y = (x - 1) / 2            (First answer choice)

Step-by-step explanation:

1) Start with f(x) = 2x + 1

2) Replace f(x) with y:  y = 2x + 1

3) Interchange x and y:  x = 2y + 1

4) Solve this result for y:  2y = x - 1, or y = (x - 1) / 2       (This matches the first                      

                                                                                          answer choice.)

3 0
3 years ago
Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone
Bumek [7]

Answer:

26880 ways

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Step-by-step explanation:

Given

Crust = 4

Toppings = 10

Cheese = 8

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in ^4C_1 ways

For the toppings:

3 can be selected from 10 in ^{10}C_3 ways

For the cheeses:

3 can be selected from 8 in ^{8}C_3 ways

Total number of selection is:

Total = ^4C_1 * ^{10}C_3 * ^{8}C_3

Apply combination formula:

Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}

Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}

Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}

Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}

Total = 4 * \frac{720}{6} * \frac{336}{6}

Total = 4 * 120* 56

Total = 26880

<em>Hence, there are 26880 ways</em>

5 0
3 years ago
Gary works as a sales representative in a clothing store. He gets a fixed salary of $1,500 per month. He also gets a commission
Lelechka [254]

x represents the total sales and y represents the total amount of money that Gary earns.

Gary's monthly salary = 1500

His commission = 10% of his sales

= \frac{10}{100} x

= 0.1x

So, total amount of money Gary earns is y = 0.1x + 1500.

3 0
4 years ago
Read 2 more answers
Consider the net of a triangular prism where each unit on the coordinate plane represents five feet. If a can of spray paint cov
Lera25 [3.4K]

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2.  Both have a base of 1 unit, and a height of 1 unit... so  (1 * 1) / 2  = 1/2 for each triangle.  Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate.  Each unit is 5 feet.  So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

7 0
3 years ago
What is the slope of a line passing through the points (3,9) and (5,10)?
sveta [45]

Answer:

1 / 2 or 0.5

Step-by-step explanation:

use the formula ; m = y2 - y1 / x2 - x1

where y2 = 10

y1 = 9

x2 = 5

x1 = 3

5 0
3 years ago
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