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3 years ago

Determine whether the side lengths could represent a right triangle. 14, 21, 25

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the given values, 25 is the largest value, so if this were a right triangle, it would be the hypotenuse.

Using Pythagoras' theorem: For this triangle to be a right triangle, √(21² + 14²) must be equal to 25.

√(21² + 14²) = 25.239 (5sf) ≠ 25

Hence the triangle formed is not right.

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Which expression represents the second partial sum for Infinity Σ 3(1/2) HURRY PLEASE , I need help on a couple of them

nikdorinn [45]

Answer:

Step-by-step explanation:

The given expression has the first term n=1, so exponent = n-1 = 0

Similarly, for the second term n = 2, n-1 = 1

These exponents eliminate options 2 and 4.

Furthermore, the base is a fraction of 1/2, which applies to options 1 and 2 only.

The only viable option left that satisfies all conditions is option 1, which has exponents 0 and 1, with a base of (1/2).

3 0

3 years ago

The product of two integers is eighty,their quotient is five.Write both integers in numerical order and separated by a comma,no

Goryan [66]

SOLUTION

Let the two integers be x and y.

Now, the product of x and y, is 80, that is

$\begin{gathered} x\times y=80 \\ xy=80\ldots\ldots\text{.equation 1} \end{gathered}$

The quotient of x and y is 5, that is

$\begin{gathered} x\div y=5 \\ \frac{x}{y}=5\ldots\ldots\ldots\ldots\text{.}\mathrm{}\text{equation 2} \end{gathered}$

From equation 2, make x, the subject, we have

$\begin{gathered} \frac{x}{y}=5 \\ \text{cross multiplying } \\ 5\times y=x \\ x=5y \end{gathered}$

Now substitute the x for 5y into equation 1, we have

$\begin{gathered} xy=80 \\ 5y\times y=80 \\ 5y^2=80 \\ \text{dividing by 5} \\ y^2=\frac{80}{5} \\ y^2=16 \\ \text{take square root of both sides } \\ \sqrt[]{y^2}=\sqrt[]{16} \\ \text{square cancels root} \\ y=4 \end{gathered}$

Now substitute y for 4 into any of the equations.

Let us use equation 1 again, we have

$\begin{gathered} xy=80 \\ x\times4=80 \\ 4x=80 \\ x=\frac{80}{4} \\ x=20 \end{gathered}$

Hence the answer is 4, 20

4 0

1 year ago

George is playing a game where he is trying to draw a club from a standard deck of cards. If he doesn't get a club, he replaces

GaryK [48]

Answer:

17.8%

Step-by-step explanation:

5 0

3 years ago

Please help! Will mark as brainliest!

Cloud [144]

Answer:

x=10 and y=15

Step-by-step explanation:

1: Plug y into the equation

y=2x-5

5x-4(2x-5)=-10

2: Solve for x

-3x=-30

x=10

3: Plug x into the other equation

x=10

y=2(10)-5

4: Solve for y

y=15

Hope this helped! Brainliest would be really appreciated :)

7 0

3 years ago

If a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Hatshy [7]

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

7 0

3 years ago