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2 years ago

This is adding and subtracting rational expressions. i don’t know how to do this one

Mathematics

1 answer:

Sindrei [870]2 years ago

5 0

Answer:

Step-by-step explanation:

1-0=1 totally trust me

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Analyze the diagram below and complete the instructions that follow. Find the area of QRS.

11Alexandr11 [23.1K]

Answer-

The area of QRS is 238.7 sq units.

Solution-

According to properties of supplementary angles,

$m\angle R+124=180\\\\m\angle Q+132=180$

So,

$\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48$

As the sum of measurement of all the angles in a triangle is 180, so

$\Rightarrow m\angle S+m\angle R+m\angle Q=180$

$\Rightarrow m\angle S=180-m\angle R-m\angle Q$

$\Rightarrow m\angle S=180-56-48=76$

Then the area of the triangle will be,

$\text{Area}=\dfrac{1}{2}qr\sin S$

$=\dfrac{1}{2}\times 21\times 23.43\times \sin 76$

$=238.7\text{sq.units}$

8 0

3 years ago

2) Juan had $622 in his checking account. He deposited a check for $180, and $100

adoni [48]

Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

3 0

2 years ago

(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3>Solution:</h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

5 0

3 years ago

The expression 120-15x represents how many invitations Luanne has to address after x days. The expression 120 + 15(7-x) represen

Aloiza [94]

Answer:

not possible.

Step-by-step explanation:

number of invitations luanne has to address after x days = 120-15x

number of invitations Darius has to address after x days = 120 + 15(7-x)

so, if the number of invitations should be the same for both of them,

we have to equate their number of invitations

120-15x = 120 + 15(7-x)

subtracting 120 from both the sides,

-15x = 15(7-x) = 105 -15x

adding we 15x on both sides, we wont find any solution for x.

so, this isnt possible or the question must be wrong.

8 0

3 years ago

The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?

andrezito [222]

C) is the correct answer because since the base is 2 times the height, this means that the base is larger than the height. And when u look at c, and u add up all the sides( 10+10+20+20) you get the perimeter, 60 cm

5 0

3 years ago

Read 2 more answers