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3 years ago

Write and solve an inequality for each problem. Jorge’s soccer team is having its annual fundraiser. The team hopes

Mathematics

1 answer:

adelina 88 [10]3 years ago

5 0

First of all, they need to triple their profits. So 87 x 3 = 241.

When you read the question, it says at least. In inequality terms, that means greater than equal to. You’d do this:

x is the amount of money they raise this year.

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select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3

Semenov [28]

Answer:

Step-by-step explanation:

For any set of three side length of a triangle to be a right angled triangle, the sum of the square of the two of the sides must be equal to the square of the longest side according to pythagoras theorem.

The longest side is always the hypotenuse

For option D, 2 will be the longest side. Since 2 is the hypotenuse, the sum of the square of other two values must be equivalent to the square of 2,

$= (\sqrt{1})^{2} + (\sqrt{3})^{2} \\ = 1=3\\= 4\\= 2^{2} (hypotenuse)$

This shows that √1, 2, √3 are three sides of a right triangles.

Similarly for option C, the hypotenuse is √129 being the largest.

To show the sides are that of a right triangles;

$= (\sqrt{8}) ^{2} + 11^{2} \\= 8 + 121\\= 129\\= (\sqrt{129})^{2} \\$

Since the resulting value is the square of the hyp, then √8, 11, √129 are three sides of a right triangles.

For option B; 10 is the hypotenuse being the longest sides, To show the sides are that of a right triangles;

$=4^{2}+(\sqrt{84})^{2} \\ = 16+84\\= 100\\= 10^{2}$

Since the resulting value is the square of the hyp, then 4, 10, √84 are three sides of a right triangles.

Only option A is wrong since 15² is not equal to the sum of 8² and 7².

4 0

3 years ago

Francis is making fruit punch. He adds 2 cups of apples juice for every 3 cups of grape juice. What is the ratio of grape juice

Helen [10]

Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!

6 0

2 years ago

If Logan(3)=5, what is the value of a^5?

Archy [21]

Answer:

$a^5=3$

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

$\log_b{(x)}=a\ \leftrightarrow\ b^a=x$

Here, it means ...

$\boxed{a^5=3}$

8 0

3 years ago

Read 2 more answers

Jimmy is working at a factory where they make cars and trucks in the ratio five to four if the factory makes 100 trucks how many

-BARSIC- [3]

Answer:

125

Step-by-step explanation:

5/4=x/100

x=500/4

x=125

4 0

2 years ago

Find the perimeter of a towel thay measures 2 feet by 3/4 foot

levacccp [35]

A typical towel is the shape of a rectangle.
Rectangles have 2 opposite pairs of congruent (equal) sides.
To find perimeter, find the sums of all the sides.

The measures of the towel's sides are:
2 feet
2 feet
3/4 foot
3/4 foot

Add these together to find the perimeter.

2 + 2 + 0.75 + 0.75 = 5.5

The perimeter of the towel is 5.5 feet.

Hope this helps!
:)

7 0

2 years ago