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3 years ago

Which one is equivalent

Mathematics

1 answer:

allsm [11]3 years ago

7 0

Answer:sin240

Step-by-step explanation:

sin300=-(√3)/2

Sin240=-(√3)/2

So sin300 is equivalent to sin240

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Will 5 star worth 76pts

ankoles [38]

Answer:

i can't see anything

Step-by-step explanation:

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2 years ago

After 5 years, Marcel's account earned $900 in interest. If the interest rate (in decimal form) is 0.06, how much did Marcel ini

Natasha2012 [34]

Answer:

$3000

Step-by-step explanation:

I= PRT÷100

where,

I = interest = 900

T= 5

R/100 = 0.06

P = ?

I= PRT/100

900= P × 5 × 0.06

P = 900÷ 0.3

P= 3000

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3 years ago

To reduce 16 ounces of a 25% solution of antiseptic to a 10% solution, how much distilled water should a nurse add?

yan [13]

Answer:

24 ounces

Step-by-step explanation:

Here's a more intuitive approach to use here.

You know that your initial solution has a percent concentration, presumably volume by volume, of

. This means that any volume of this solution contains

part solute and

parts solvent.

The target solution must have a concentration of

, which means that any volume of this solution will contain

part of solute and

parts solvent.

Your starting solution has a volume of

ounces, or

parts, each with a volume of

ounces.

In order to get to a solution that has a total of

parts, you must add

parts of solvent to the initial solution. Since we know that

1 part

4 ounces

it follows that you must add

parts

⋅

4 ounces

part solvent

24 ounces

of distilled water, which is your solvent, to the initial solution.

The target solution will contain

part solute and

parts distilled water for a total of

parts of solution, and hence have a percent concentration of

7 0

3 years ago

Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tang

mojhsa [17]

Answer:

C. f has a relative maximum at x = 1.

Step-by-step explanation:

A. False. f(x) is concave down when f"(x) is negative. f"(x) is the tangent slope of the graph, f'(x). So f(x) is concave down between x = -1.5 and x = 1.5.

B. False. f(x) is decreasing when f'(x) is negative. So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.

C. True. f(x) has a relative maximum where f'(x) = 0 and changes from + to -.

8 0

2 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago