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ohaa [14]
3 years ago
8

The triangle inequality

Mathematics
1 answer:
klemol [59]3 years ago
3 0
The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped
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A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be
djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

-Chetan K

4 0
2 years ago
Read 2 more answers
F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)
Simora [160]
Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1


____
If an exponent has any arithmetic in it, parentheses are needed around it.
6 0
3 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7
brilliants [131]

Answer:

The equation representing Total money spend being as a member is m = 60+7.6(b-1)

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

m = 60+7.6(b-1)

Hence The equation representing Total money spend being as a member is m = 60+7.6(b-1)

5 0
3 years ago
A ladder is placed against a wall such that the top is 8 feet above the ground. If the ladder is 10 feet long, how far away from
Annette [7]

Answer:

6 feet

Step-by-step explanation:

Consider the right triangle formed by the wall, ladder and ground.

Let the distance the ladder is from the wall be d , then

Using Pythagoras' identity in the right triangle

The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then

d² + 8² = 10²

d² + 64 = 100 ( subtract 64 from both sides )

d² = 36 ( take the square root of both sides )

d = \sqrt{36} = 6

That is the ladder is 6 feet away from the wall

7 0
3 years ago
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