What is the perimeter of the rectangle? Write your answer in scientific notation

Why are 7 and 2 like terms? help please!!

bazaltina [42]

Like terms are terms whose variables are the same. In this case, 7 and 2 have no coefficients therefore are like terms. For example, 7x and 2x would both be like terms because they have the same coefficient which is x.

7 0

3 years ago

If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

sweet-ann [11.9K]

Answer:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

Step-by-step explanation:

Given

$tan\theta = 3$

Required

Find

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$

Calculate $tan(\theta + \pi) \ and\ tan(\theta+2\pi)$

Using tan rule

$tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}$

So:

$tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + \pi) = \frac{tan\theta}{1 }$

$tan(\theta + \pi) = \tan\theta$

$tan(\theta+2\pi)$

$tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}$

$tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + 2\pi) = \tan\theta$ '

'So:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$ $= tan\theta +tan\theta +tan\theta$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

4 0

3 years ago

Find the value of a in this isosceles trapezoid. D. 11 A. 7 B. 15 C. 4

UNO [17]

Answer:

B

Step-by-step explanation:

Because 15-4=11

and both angles are equal

4 0

3 years ago

Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte

Elza [17]

Answer:

$8000 at 1%
$2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

__

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

0.09x +100 = 280

0.09x = 180 . . . . . . . subtract 100

x = 2000 . . . . . . divide by 0.09

10000 -x = 8000 . . . . amount invested at 1%

$8000 should be invested in the 1% account

$2000 should be invested in the 10% account

5 0

2 years ago

Ranjit has six coins in his pocket.

mash [69]

Step-by-step explanation:

=$-383-3"jsjsbbshs sjusiwbw wuuiwn

8 0

3 years ago