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rodikova [14]
4 years ago
15

3y+4y+6=20 solve variable. include steps, also check your answer!

Mathematics
1 answer:
stira [4]4 years ago
8 0

Answer:2

Step-by-step explanation:

3y+4y+6=20

7y+6=20

7y=20-6=14

Y=14/7=2

6+8+6=20

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If sinθ = -1/2 and θ is in Quadrant III, then tanθ = _____.
Gnom [1K]

Answer:  \tan \theta=\dfrac{1}{\sqrt3}.

Step-by-step explanation:  Given that

\sin\theta=-\dfrac{1}{2} and \theta lies in Quadrant III.

We are to find the value of \tan \theta.

We will be using the following trigonometric identities:

(i)~sin^2\theta+\cos^2\theta=1,\\\\(ii)~\dfrac{\sin\theta}{\cos{\theta}}=\tan \theta.

We have

\tan\theta\\\\\\=\dfrac{\sin\theta}{\cos\theta}\\\\\\=\dfrac{\sin\theta}{\pm\sqrt{1-\sin^2\theta}}\\\\\\=\pm\dfrac{-\frac{1}{2}}{\sqrt{1-\left(\frac{1}{2}\right)^2}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\sqrt{1-\frac{1}{4}}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\frac{\sqrt3}{2}}\\\\\\=\pm\dfrac{1}{\sqrt3}.

Since \theta lies in Quadrant III, so tangent will be positive.

Thus,

\tan \theta=\dfrac{1}{\sqrt3}.

8 0
3 years ago
Read 2 more answers
Find the average rate of change for f(x)=x^2-3x-10 from x=-5 to x=-10
worty [1.4K]

Answer:

-18  

Step-by-step explanation:

f(x) = x² - 3x -10

f(-10) = (-10)² – 3(-10) – 10

f(-10) = 100 + 30 - 10

f(-10) = 120

f(-5) = (-5)² – 3(-5) – 10

f(-5) = 25 + 15 - 10

f(-5) = 30

=====

The <em>average rate of change</em> is the slope m of the straight line joining the two points.

m = (y₂ - y₁)/(x₂ - x₁)

m = (30 - 120)/(-5 – (-10))

m = -90/(-5+10)

m = -90/5

m = -18

5 0
4 years ago
Tom had 12 carrot sticks. Sue has 1/6 as many carrots as tom. How many carrot sticks does sue have
Dennis_Churaev [7]
The answer is 2.

1/6 times 2 equals 2/12

and 2 times 6 equals 12. So Sue has 2 Carrots.
6 0
3 years ago
What is <br> 102% of 750 =<br> Explain why and how you did it <br><br><br><br> PLZ HELP
defon
765 is the answer
1. the percent will turn on to a decimal
2. the percent is now 1.02 ( always move the decimal 2 to the left when it is a percent.
3. multipy 1.02 and 750 .
4. you sould have 765 as your answer
3 0
3 years ago
What is the surface area of the monument
Semmy [17]

Answer:

660

Step-by-step explanation:

ok this one is a little more tricky

20*5=100 do not double this one

20*12=240 do not double this one

20*13=260 do not double this one

remember the area of a triangle is A=1/2l*w

plug in the values

A=1/2(5)(12)

A=30 you have to double this one because there is two of them

60

now you must add up all your values

100+240+260+60=660

i hope i am not wrong... but hope it helps!

3 0
3 years ago
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