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2 years ago

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Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a

arat de 2 ori mai mult ca in a doua zi,aflati cate hectare s-au arat in fiecare zi.

1 answer:

AVprozaik [17]2 years ago

5 0

I need a translation

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Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

BabaBlast [244]

Katie is 6; Cathy is 18!

X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.

2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x

6 0

2 years ago

QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.

Vladimir79 [104]

Answer:

$\frac{\pi}{4}$

$\frac{5\pi}{6}$

Step-by-step explanation:

The answer uses the unit circle and that sine and cosecant are reciprocals.

The first choice doesn't even fit the criteria that $x$ is between $0$ and $2\pi$ (inclusive of both endpoints) because of the $x=\frac{-7\pi}{6}$ .

Let's check the second choice.

$\csc(\frac{\pi}{4})=\frac{2}{\sqrt{2}} \text{ since } \sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}$ .

$\csc(\frac{\pi}{4})>1 \text{ since } \frac{2}{\sqrt{2}}>1$

$\csc(\frac{\pi}{2})=1 \text{ since } \sin(\frac{\pi}{2})=1$ which means $\csc(\frac{\pi}{2})=1$ which is not greater than 1.

So we can eliminate second choice.

Let's look at the third.

$\csc(\frac{5\pi}{6})=2 \text{ since } \sin(\frac{5\pi}{6})=\frac{1}{2}$ which means $\csc(\frac{5\pi}{6})>1$ .

$\csc(\pi)$ isn't defined because $\sin(\pi)=0$ .

So we are eliminating 3rd choice now.

Let's look at the fourth choice.

$\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2}$ which means $\csc(\frac{7\pi}{6})$ and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said $x=-\frac{7\pi}{6}$ doesn't work because it is not included in the inequality $0\le x \le 2\pi$ .

How about $x=0$ ? This leads to $\csc(0)$ which doesn't exist because $\sin(0)=0$ .

So neither of the first two choices on the first row.

Let's look at the second row again.

We said $\frac{\pi}{4}$ worked but not $\frac{\pi}{2}$

Let's look at the choices on the third row.

We said $\frac{5\pi}{6}$ worked but not $x=\pi$

Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

6 0

2 years ago

Read 2 more answers

Maura writes an expression equivalent to 8a - (-3 - 5a) - 2a. Her work is in the picture. In what step does Maura make a mistake

NISA [10]

Answer:

11a + 3

Step-by-step explanation:

Step 1 : 8a + 3 - 5a - 2a

error => - 5a

8a - (- 3 - 5a) - 2a =

= 8a + 3 + 5a - 2a

= (8a + 5a - 2a) + 3

= 11a + 3

7 0

2 years ago

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Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript

defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

$log_{c}{a / b} = log_{c}{a} - log_{c}{b}$

Plugging in the values we have above gives us the following:

$log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}$

$log_{4}{7} = 2.196 - 0.792$

$log_{4}{7} = 1.404$

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2 years ago

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Find f(6) if f(x)=x squared divided 3+x

Nostrana [21]

F(6)=4. plug in 6 to x

8 0

2 years ago