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2 years ago

I need help I don’t understand this

Mathematics

1 answer:

Hatshy [7]2 years ago

4 0

Answer:

Step-by-step explanation:

lets say "a" for the empty line,

for small triangle; y^2 = 2^2 + x^2

right triangle; we say a for empty line, a^2= 6^2 + x^2

and big triangle covering both triangles, 8^2 = y^2 + a^2

lets add left sides and right sides in each;

x^2 + 4 + x^2 + 36 + y^2 + a^2 = y^2 + a^2 + 64 and we can delete same things for both sides

y^2 and a^2 can be deleted and 4+36 - 64

2(x^2)=24

x^2= 12

and x will be √12

so, y^2 = x^2 + 2^2 which means y^2 = 12+4 y=16

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7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective

Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

$E_{IR} = \frac{E}{P}$ .

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that $P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}$ .

$E = 6200*0.0884*\frac{1}{9} = 60.9$

The effective interest rate is

$E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001$

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0

3 years ago

Find the measure of angle N.<br><br> A. 150°<br><br> B. 8°<br><br> C . 90°<br><br> D. 294°

oee [108]

Answer:

$\angle N=150\degree$

Step-by-step explanation:

The sum of interior angles of a 5-sided polygon is 540 degrees.

We sum all the angles to get:

<M+<L+<N+<O+<P=540

90+90+(17x+4)+(18x+6)+(10x-10)=540

45x+180=540

45x=540-180

45x=360

x=8

N=18*8+6

$\angle N=150\degree$

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3 years ago

Two streams flow into a reservoir. Let X and Y be two continuous random variables representing the flow of each stream with join

zlopas [31]

Answer:

c = 0.165

Step-by-step explanation:

Given:

f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,

f(x, y) = 0 otherwise.

Required:

The value of c

To find the value of c, we make use of the property of a joint probability distribution function which states that

$\int\limits^a_b \int\limits^a_b {f(x,y)} \, dy \, dx = 1$

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)

By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

$\int\limits^3_0 \int\limits^3_0 {cxy(1+y)} \, dy \, dx = 1$

Since c is a constant, we can bring it out of the integral sign; to give us

$c\int\limits^3_0 \int\limits^3_0 {xy(1+y)} \, dy \, dx = 1$

Open the bracket

$c\int\limits^3_0 \int\limits^3_0 {xy+xy^{2} } \, dy \, dx = 1$

Integrate with respect to y

$c\int\limits^3_0 {\frac{xy^{2}}{2} +\frac{xy^{3}}{3} } \, dx (0,3}) = 1$

Substitute 0 and 3 for y

$c\int\limits^3_0 {(\frac{x* 3^{2}}{2} +\frac{x * 3^{3}}{3} ) - (\frac{x* 0^{2}}{2} +\frac{x * 0^{3}}{3})} \, dx = 1$

$c\int\limits^3_0 {(\frac{x* 9}{2} +\frac{x * 27}{3} ) - (0 +0) \, dx = 1$

$c\int\limits^3_0 {(\frac{9x}{2} +\frac{27x}{3} ) \, dx = 1$

Add fraction

$c\int\limits^3_0 {(\frac{27x + 54x}{6}) \, dx = 1$

$c\int\limits^3_0 {\frac{81x}{6} \, dx = 1$

Rewrite;

$c\int\limits^3_0 (81x * \frac{1}{6}) \, dx = 1$

The $\frac{1}{6}$ is a constant, so it can be removed from the integral sign to give

$c * \frac{1}{6}\int\limits^3_0 (81x ) \, dx = 1$

$\frac{c}{6}\int\limits^3_0 (81x ) \, dx = 1$

Integrate with respect to x

$\frac{c}{6} * \frac{81x^{2}}{2} (0,3) = 1$

Substitute 0 and 3 for x

$\frac{c}{6} * \frac{81 * 3^{2} - 81 * 0^{2}}{2} = 1$

$\frac{c}{6} * \frac{81 * 9 - 0}{2} = 1$

$\frac{c}{6} * \frac{729}{2} = 1$

$\frac{729c}{12} = 1$

Multiply both sides by $\frac{12}{729}$

$c = \frac{12}{729}$

$c = 0.0165 (Approximately)$

8 0

3 years ago

Which are the solution of x2=-5x+8

yawa3891 [41]

rewrite the equation set = to 0.

x^2 + 5x - 8 = 0

The quadratic will not factor so you have to use the quadratic formula.

x = (-b + - sqrt(b^2 - 4ac))/2a

x = (5 + - sqrt(25 - 4* 1* -8))/2

x = (5 + - sqrt 57)/2

The x2is not the same as 2x. It is x^2. X tot he second power which makes the problem a quadratic equation. You cannot combine the terms x^2 and -5x because they so not have the same power.

4 0

3 years ago

What is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial

gizmo_the_mogwai [7]

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

<h3>What is a polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

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Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

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brainly.com/question/17822016

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5 0

1 year ago