Is it possible to build a triangle with side lengths of 5, 5, 10

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

No, the sum of the lengths of any two triangle must be greater the the length of the third side .

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Henry had 15 quarters. He gave his sister 4 quarters. How much money does he have now??

telo118 [61]

Answer:

$2.75

Step-by-step explanation:

A quarter's value as placed on it by the U.S. Treasury Department is $0.25, or 1/4 of a dollar.

Henry had 15 quarters, in which he gives his sister 4: 15 - 4 = 11

Henry now has 11 quarters. Multiply 11 with 0.25: 11 x 0.25 = 2.75

Henry has $2.75

5 0

3 years ago

Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2

Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

$\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}$

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1 year ago

Which number line represents the inequality r < 6

a_sh-v [17]

B or D, I forgot whether the open circle or the circle is the equal to one, if I had to guess I'd say B

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3 years ago

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Digiron [165]

Answer: