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3 years ago

12

If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypote

nuse in centimeters?

2 answers:

barxatty [35]3 years ago

8 0

Answer:

$3\sqrt{5}$ centimeters.

Step-by-step explanation:

We have been given that one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters. We are asked to find the length of the hypotenuse in centimeters.

We will use Pythagoras theorem to solve our given problem.

$a^2+b^2=c^2$ , where, a and b represents legs of a right triangle and c represents the hypotenuse.

Upon substituting our given values in above formula we will get,

$3^2+6^2=c^2$

$9+36=c^2$

$45=c^2$

Upon taking square root of both sides of our equation we will get,

$\sqrt{45}=c$

$\sqrt{9*5}=c$

$3\sqrt{5}=c$

Therefore, the length of the hypotenuse of the given right triangle would be $3\sqrt{5}$ centimeters.

seraphim [82]3 years ago

6 0

3 sqaured is 9.
6 squared is 36.
36 + 9 = 45
Answer is root 45, and the simplified answer is;

5 root 3.

Hope this helped. If it did please can you give me brainliest! :) Thanks once again.

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Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bou

Elenna [48]

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

7 0

3 years ago

The total bill for five people was $74.90. They Agreed to leave a 20% tip and divide the total cost evenly. How much did each of

Bingel [31]

TIP:
74.90*.2=14.98
74.90+14.98=89.88
TOTAL:
89.88/5=17.98

each person pays $17.98

Hope this helps!

3 0

3 years ago

Please answer and explain!!

alexandr1967 [171]

Answer:

Step-by-step explanation:

The two triangles are congruent.

∠L ≅ ∠ B Given

LN ≅ BZ Given

∠N ≅∠Z Given

ΔLNM ≅ ΔBZA Angle Side Angle congruent

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2 years ago

Find the particular solution that satisfies the differential equation and the initial condition.

Vesnalui [34]

Answer:

1) $y =4x^2 +7$

2) $y =7s^2 -3s^4 +181$

Step-by-step explanation:

Assuming that our function is $y = f(x)$ for the first case and $y=f(s)$ for the second case.

Part 1

We can rewrite the expression like this:

$\frac{dy}{dx} =8x$

And we can reorder the terms like this:

$dy = 8 x dx$

Now if we apply integral in both sides we got:

$\int dy = 8 \int x dx$

And after do the integrals we got:

$y = 4x^2 +c$

Now we can use the initial condition $y(0) =7$

$7 = 4(0)^2 +c, c=7$

And the final solution would be:

$y =4x^2 +7$

Part 2

We can rewrite the expression like this:

$\frac{dy}{ds} =14s -12s^3$

And we can reorder the terms like this:

$dy = 14s -12s^3 dx$

Now if we apply integral in both sides we got:

$\int dy = \int 14s -12s^3 ds$

And after do the integrals we got:

$y = 7s^2 -3s^4 +c$

Now we can use the initial condition $y(3) =1$

$1 = 7(3)^2 -3(3)^4 +c, c=1-63+243=181$

And the final solution would be:

$y =7s^2 -3s^4 +181$

7 0

3 years ago

Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61

Irina-Kira [14]

$ 2772 is paid in state income tax

<em><u>Solution:</u></em>

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

<em><u>To find: Amount paid by Tina in state income tax</u></em>

Tax rate = 4.5 %

<em><u>Which means, 4.5 % of $61,600 is paid as tax</u></em>

$Tax\ Rate = 4.5 \% \text{ of } 61600$

Here, "of" means multiplication or product

$Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772$

Thus $ 2772 is paid in state income tax

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3 years ago