Triplets, Linda, Misti and Chris are 135 years old if you add their ages. How old is Chris?

According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 10

Sphinxa [80]

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

3 0

3 years ago

Where does Pythagorean identities and also how it relates to the right triangles

Ostrovityanka [42]

Answer:

A pythagorean identity means that for any angle $\theta$ , $sin^2\theta+cos^2\theta=1$ .

This also means $1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.$ The symbol, theta ( $\theta$ ) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is $cos\theta$ , and the height (side perpendicular to the base, making a right angle) is $sin\theta$ . The angle theta is opposite the $sin\theta$ side.

Step-by-step explanation:

The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.

5 0

2 years ago

Read 2 more answers

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

#SPJ4

7 0

1 year ago

This triangle is a multiple of one of the triples listed here. What is the hypotenuse?

stiv31 [10]

Answer:

50 units

Step-by-step explanation:

you use Pythagorean-theorem which means A^2+B^2 =C^2

It does not matter the order of A and B because it is adding. But C is the hypotenuse.

If we plug in the # this is what it looks like...

14^2 +48^2=C^2

or

48^2+14^2=C^2

14*14= 196

48*48=2,304

then you add

196+2,304=C^2

2,500= C^2

and you can use a calculator for this part you do 2,500

with the 2,500 you use the sign as in the picture and it gives you...

50

which means 50*50 = 2,500

5 0

2 years ago

Read 2 more answers

PLEASE HELP DUE IN 30 MINUTES

Vladimir79 [104]

<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.

(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100)
(80-60)/60 = 0.33
(100-80)/80 = 0.25

Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2

Based on my computation, the rate of Pod A is lower than the rate of Pod B.

(c) When does the population in Pod B exceed the population in Pod A? Explain.
Pob B exceeds the population of Pod A at the END OF MONTH 4.

Pod A has a population of less than 200 while Pod B has a population of 469.</span>

5 0

3 years ago