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3 years ago

Find the missing side of the triangle.

Mathematics

2 answers:

trasher [3.6K]3 years ago

7 0

Pythagorean theorem
A^2 + B^2 = C^2
30^2 + 16^2 = C^2
1156 = c^2
Square root of 1156 = c
C = 34
Therefore x = 34

Mnenie [13.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

x² = 30² + 16²

(pythagoras theorem)

x = Square root 30² + 16²

x = 34

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Anna is saving to buy a new cell phone. Her mother is helping Anna by contributing money each month. What is the ratio between t

Dmitry [639]

Answer:

Option D. 3:1, $120

Step-by-step explanation:

The complete question in the attached figure

Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?

Let

x -----> the amount of money contributed by Anna

y ----> the amount of money contributed by her mother

we know that

Looking at the table

The value of x is equal to $x=\$30+\$60+\$90+\$120=\$300$

The value of y is equal to $y=\$10+\$20+\$30+\$40=\$100$

Find the ratio x/y

substitute the values

$\frac{x}{y}=\frac{300}{100}=\frac{3}{1}$

Part 2) What was the total amount saved in April?

we know that

To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April

$(\$30+\$90)=\$120$

3 0

4 years ago

Read 2 more answers

How many different 5-person subcommittees can be formed from a club having 12 members

Wittaler [7]

Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792

3 0

3 years ago

Which pair is a solution of the equation? <br> -7x+3y=2

stira [4]

Answer:

7/3

Step-by-step explanation:

5 0

3 years ago

Which is the better deal?

Reptile [31]

Answer:

The better deal is 10 cans of soda for $5.50

Step-by-step explanation:

6 cans of soda for $3.60 means each can of soda is worth .60 cents
4 cans of soda for $2.36 means each can of soda is worth .59 cents
10 cans of soda for $5.50 means each can of soda is worth .55 cents

Therefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.

Hope this helped!

7 0

3 years ago

Read 2 more answers

The sums that appear when two fair? four-sided dice? (tetrahedrons) with sides 1?, 2?, 3?, and 4 are tossed

Karolina [17]

Answer:

The possible sums are 2, 3, 4, 5, 6, 7 & 8 (but they're not all equally likely)

Step-by-step explanation:

For example, the only way to get a sum of 2 is to roll a 1 and then a 1

And the only way to get a sum of 8 is to roll a 4 and then a 4 (imagine you don't roll the two dice simultaneously; this will help you to see the "other possibilities" that aren't obvious at first)

The probability of rolling a sum of 2 = probability of rolling sum of 8 (1/16 probability for each)

If you roll a 1 then a 2, or a 2 then a 1, there are 2 ways to get a sum of 3

If you roll a 3 then a 1, a 2 then a 2, or a 1 then a 3, there are 3 ways to get a sum of 4

If you roll a 4 then a 1, a 3 then a 2, a 2 then a 3, or a 1 then a 4, there are 4 ways to get a sum of 5 (5 is the most likely sum)

If you roll a 4 then a 2, a 3 then a 3, or a 2 then a 4, there are 3 ways to get a sum of 6

If you roll a 4 then a 3, or a 3 then a 4, there are 2 ways to get a sum of 7

5 0

3 years ago

Find the missing side of the triangle.​

Find the missing side of the triangle.