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Lunna [17]
3 years ago
10

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

19.26

Step-by-step explanation:

7% of 18 is 1.26

1.26+18=19.26

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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
HELP ME PLEASE !!!!!!!!
andre [41]

Answer:

3 is yes, the rest is no

Step-by-step explanation:

for y = -6x - 9

(1) if x = 7, y = -51 => No

(2) if x = 3, y = -27 => No

(3) if x = -8, y = 39 => Yes

(4) if x = -5, y = 21 => No

8 0
2 years ago
Please help I give you 30 points
valentinak56 [21]

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

4 0
2 years ago
Write the sentence as an equation B is 380 more than the quantity y times 268
Delvig [45]

Hey there! Your answer is B = 380 + 268y

7 0
3 years ago
No absurd answers. 100 points. Just answer it and tell me how you got it.
nikklg [1K]

Answer:

sin-32/40

cos-24/40

tan-32/24

Step-by-step explanation:

SOHCAHTOA

sin is opposite over the hypotenuse

cosine is adjacent over hypotenuse

tan is opposite over adjacent

plug in the numbers corresponding with angle B and you get your formulas

so sorry if my explanation was bad

3 0
3 years ago
Read 2 more answers
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