X 6.1.31<br> Sohe the given equation.<br> ).<br> (Type an integer or a simplified fraction)

Suppose a triangle has two sides of length 2 and 5 and that the angle between these two sides is pi/3. What is the length of the

patriot [66]

We are given two sides of a triangle that are 2 and 5 and the angle between them is pi/3 or 60 degrees. In this case, we can use the cosine law to relate the given dimensions and angle. The cosine rule goes c2 = a2 + b2 - 2abcos C; Substituting, c2 = 4 + 25 - 2*2*5*cos pi/3 ; c2 = 19; c = sqrt 19 = 4.36 units.

4 0

4 years ago

Read 2 more answers

Dave is considering two loans. Loan U has a nominal interest rate of 9. 97%, and Loan V has a nominal interest rate of 10. 16%.

Vsevolod [243]

Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

<h2>Effective Interest Rate;</h2>

The effective interest rate is determined by the formula;

$= \left(1+\dfrac{r}{t} \right )^t$

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

$= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824$

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

Then,

$= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537$

Therefore,

Loan V has a higher effective rate by,

$=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%$

Hence, Loan U will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

For more details about Interest rate refer to the link given below.

brainly.com/question/1398822

5 0

3 years ago

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dime

slega [8]

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dimensions of such a rectangle with the greatest possible area?

5 0

4 years ago

Can you help me it’s algebra 2 and I need the answers for like 5 more questions, it’s urgent like really urgent!!!!

nikitadnepr [17]

Answer: B) as x → -5 from the left, y → -∞

as x → -5 from the right, y → +∞

<u>Step-by-step explanation:</u>

$g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+$

Refer to the graph which confirms that

from the left, y tends toward -∞

from the right, y tends toward + ∞

3 0

3 years ago

After recording the pizza delivery times for two different pizza shops you conclude one pizza shop has a mean delivery of 45 min

In-s [12.5K]

Answer:

C

Step-by-step explanation:

lolololpygdffffygccffghhjjjj

6 0

4 years ago

X 6.1.31 Sohe the given equation. ). (Type an integer or a simplified fraction)