a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg

Answer:

(x + 5)(x + 2) / (x³ - 9x)

Step-by-step explanation:

We need to find a common denominator.

factor each denominator

x² - 3x = x(x - 3)

x³ - 9x = x(x² - 9) = x(x + 3)(x - 3)

x² - 9 = (x + 3)(x - 3)

As the factors of the first and third denominators are subsets of the second, the second is the LCD. This immediately eliminates the last two options as possible solutions.

Now we multiply each term by the missing factor over itself (1)

(2x + 5)(x + 3) - (3x + 5) - (x + 1)(x)]

(x² - 3x)(x + 3)   (x³ - 9x)  (x² - 9)(x)

[(2x² + 11x + 15) - (3x + 5) - (x² + x)] /  (x³ - 9x)

[2x² + 11x + 15 - 3x - 5 - x² - x] /  (x³ - 9x)

(x² + 7x + 10) /  (x³ - 9x)

(x + 5)(x + 2) / (x³ - 9x)

[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]

[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]

[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]

[tex]\\ \sf\longmapsto\infty-\infty[/tex]

[tex]\\ \sf\longmapsto\infty[/tex]

Answer:

0. 8064

Step-by-step explanation:

Look at the Image

Answer:

2.4 put a bar over the 4 because it is repeating

Step-by-step explanation:

22/9 =

22 divided by 9

equals

Answer:

the answer for question 1 is -7

Answer:

Fareed

Step-by-step explanation:

All the other people have complications that won't let them be on every floor, but Fareed can.

9514 1404 393

Answer:

  $9072

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  A = MN . . . . . . M = payment = $189. N = number of payments = 48.

  A = $189 × 48 = $9072

The total amount paid is $9072.

Answer:

what to do which lesson of ath

Answer:

l.c.m of 100,150,200

Step-by-step explanation:

in this case, we are looking at a length × width equation. this equation gives you the area of the gym. so the answer is B.

Answer:

B

Step-by-step explanation:

L× w = area of a rectangle

Answer:

a^(m-n)

Step-by-step explanation:

We have

a^m / a^n

Exponent rules state that

a^m / a^n = a^(m-n)

Answer:

A) y=-7

Step-by-step explanation:

we talking about the better pond right?

Answer:

acute

Step-by-step explanation:

Angles between 0 and less than 90 are acute

A 90 degree angle is right

Greater than 90 and less than 180 is obtuse

180 degree angles are straight

45 degrees is less than 90 so it is acute

Answer: acute

Step-by-step explanation: if angle is between 0 and 90 degrees, it is acute

false

false

false........

false

Answer:

it extends forever in one direction. so false i guess

Step-by-step explanation:

Answer:

$79.50

Step-by-step explanation:

1. $350 + $210 + $100 + $294 = $954

2. $954 ÷ 12 = 79.50

Raul monthly expense is $79.50.

Here,

In filing his income​ tax, Raul reported annual contributions of ​$350 350 to a public radio​ station, ​$210 210 to a public tv​ station, ​$100 100 to a local food​ bank, and ​$294 294 to other charitable organizations.

We have to find Raul's monthly expense.

What is total amount?

A total is a whole or complete amount.

Now,

Raul's annual expense = $350 + $210 + $100 + $294

                                   = $954

Hence,

Raul's monthly expense =  954/12

                                     = 79.50

So, Raul monthly expense is $79.50.

Learn more about the total amount visit:

https://brainly.in/question/45320943

#SPJ2

Answer:

8*(-4)^(n-1)

Step-by-step explanation:

The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).

9514 1404 393

Answer:

  (c)  16.5 cm^2

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2

Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2

The difference in area is ...

  22.5 cm^2 -6 cm^2 = 16.5 cm^2

Answer:

Step-by-step explanation:

It is the point where the graph passes through the y-axis.

So if it passes through the point where y = 2,  the y-intercept is (0, 2) - note the x coordinate is 0 at this point.

If we are asked to find the y-intercept of the graph of the equation y = 3x - 4

we put  x = 0 and work out y as follows:

y = 3(0) - 4 = 0 - 4

y = -4

so the y-intercept is (0, -4).

Answer:

30 miles.

Step-by-step explanation:

.5x + 5 > 20

x = 30

Please give brainliest if this helped you!

Answer:

B

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

c ≤ 4

Interval Notation:

( − ∞ , 4]

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

I'm guessing you mean

[tex]\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx[/tex]

First, compute the quotient:

[tex]\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}[/tex]

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

[tex]\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52[/tex]

So the integral becomes

[tex]\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}[/tex]

We can simplify the result somewhat:

[tex]\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}[/tex]

sorry pls ignore this answer

but I think it's 10

[tex]\\ \sf\longmapsto \sqrt{5 {ab}^{2} } \\ \\ \sf\longmapsto \sqrt{5 \times 5 \times {2}^{2} } \\ \\ \sf\longmapsto \sqrt{25 \times 4 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

Answer:a= 7

Step-by-step explanation:

Answer:

5+2x

Step-by-step explanation:

Answer:

[tex]\displaystyle \text{d. }y=\frac{-6}{x}[/tex]

Step-by-step explanation:

If two values [tex]x[/tex] and [tex]y[/tex] are inversely proportional, their product is always some maintained constant (the product of [tex]x[/tex] and [tex]y[/tex] is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.

Therefore, we can simply find this constant by multiplying the given values of [tex]x[/tex] and [tex]y[/tex]:

[tex]xy=k,\\6\cdot (-1)=-6[/tex]

The constant [tex]-6[/tex] must be maintained as the product of [tex]x[/tex] and [tex]y[/tex] for all values of [tex]x[/tex] and [tex]y[/tex] for them to be inversely proportional. Thus, we have the equation:

[tex]xy=-6[/tex]

Divide both sides by [tex]x[/tex] to isolate [tex]y[/tex]:

[tex]\boxed{y=\frac{-6}{x}}[/tex]

Answer:

d. [tex]\displaystyle y = \frac{-6}{x}[/tex]

Step-by-step explanation:

The fastest way to do this is to simply plug in whatever the exercise gave to you into each answer choise to figure out which one fits the best.

I am joyous to assist you at any time.

Answer:

x = -0.5

y = 2

Step-by-step explanation:

(2(-0.5)+3(2), 4) = (5, 2(2))

(-1 + 6, 4) = (5, 4)

(5, 4) = (5, 4)

Step-by-step explanation:

a proportional or similar shadow uses the same factor for each line/dimension.

so, since the height of the proportional rectangle is 4 times longer than the height of the original rectangle, then also the width must be 4 times longer.

heightP = 12 cm = f × height = f × 3 cm

f = 12/3 = 4

widthP = f × width = 4 × 5 = 20 cm