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svp [43]
3 years ago
14

The length of the hypotenuse of a right triangle is 100 cm.

Mathematics
1 answer:
maxonik [38]3 years ago
7 0
70.7cm is a possible length because in a 45 45 90 triangle, the legs can be found by dividing 100 by square root 2. In a 30 60 90 triangle, the legs could be 50cm and 86.6cm and we get that because first we can divide 100 by 2 which equals 50 and then taking 50 and multiplying that by square root of 3 to get 86.6. This is according to the rules of the triangles. The answer is 70.7cm, 50cm, and 86.6cm
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A parent is using a garden hose to fill up a small inflatable pool for her young child. The
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Answer:

The independent is the 90 gallons and the dependent is the 8 minutes.

Hope this helps!

Step-by-step explanation:

7 0
3 years ago
Solve this problem show work. -5/6 + 1/3​
shtirl [24]
1/3 is the same as 2/6, so we can rewrite this as:

-5/6 + 1/3 = -5/6 + 2/6

To add fractions, add the numerators:

-5 + 2 = -3

So, -5/6 + 2/6 = -3/6

This can reduce, since 3 and 6 are divisible by 3.

-3/6 = -1/2
5 0
3 years ago
Find the equation of the line passing through the points (0,7) and (5,-3). <br>​
Dennis_Churaev [7]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = \frac{-3-7}{5-0} = \frac{-10}{5} = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

8 0
3 years ago
WILL GIVE BRAINLIEST ANSWER ASAP!!
spin [16.1K]

Answer: The five exponent properties are

Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.

Power to a Power.: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).

Quotient of Powers.:  When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.

Power of a Product: The Power of a Product rule is another way to simplify exponents. ... When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.

Power of a Quotient.: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power

You can use these any way you want to rewrite an equation.

Hope this helped

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5 0
3 years ago
Based on the rule of 72 (your text page 21), how many years will it take for a $1,000 investment to grow to $2,000, assuming the
Anit [1.1K]

Answer:

12 years.

Step-by-step explanation:

We are asked to find the time it will take to an amount of $1000 to grow to $2000 at a rate of 6% per year.

To find the number of years it will take the amount to double, we will divide 72 by growth rate that is 6% is this case.

\text{Time it will take to double the amount}=\frac{72}{6}

\text{Time it will take to double the amount}=12

Therefore, it will take 12 years for a $1,000 investment to grow to $2,000, assuming the investment grows at 6% per year.

3 0
3 years ago
Read 2 more answers
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