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3 years ago

ANSWER CORRECTLY ASAP

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

ANSWER CORRECTLY ASAP 

ANSWER CORRECTLY ASAP 1. An automobile tire has a pressure of 210.0 kPa at 20.0oC. What will be the tire pressure after diving, if the tire temperature rises to 35.0oC? (221 kPa)

ANSWER CORRECTLY ASAP 1. An automobile tire has a pressure of 210.0 kPa at 20.0oC. What will be the tire pressure after diving, if the tire temperature rises to 35.0oC? (221 kPa)2. If a sample of gas has a volume of 355 mL at 44.1oC and 87.2 kPa, what will its volume be at STP? (263 mL)3. A tank of compressed gas has a maximum safe pressure limit of 826 kPa. The pressure gauge reads 388 kPa when the temperature is 24.1oC. What is the highest temperature the tank can withstand safely? (632 K)4. A gas occupies a volume of 560 cm3 at a temperature of 120.0oC. To what temperature must the gas be lowered, if it is to occupy 400.0 cm3? Assume a constant pressure.

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Can someone please give me the answer to the second part of this question? Thank You!

Elena-2011 [213]

Answer:

$\theta=30\textdegree$

Step-by-step explanation:

$(ii)\ \sqrt{3}\tan\ \theta=2\sin \theta\\\\substitute\ \tan\theta=\frac{\sin\theta}{\cos\theta}\\\\\sqrt{3}\frac{\sin\theta}{\cos\theta}=2\sin\theta\\\\Divide\ both\ sides\ by\ \sin\theta.\\\\\sqrt{3}\frac{\sin\theta}{\cos\theta\times \sin\theta}=\frac{2\sin\theta}{\sin\theta}\\\\\frac{\sqrt{3}}{\cos\theta}=\frac{2}{1}\\\\Apply\ cross\ multiplication\\\\2\cos\theta=\sqrt{3}\\\\divide\ both\ sides\ by\ 2\\\\\frac{2\cos\theta}{2}=\frac{\sqrt{3}}{2}\\\\\cos\theta=\frac{\sqrt{3}}{2}\\\\$

$\cos\theta=\cos\ 30\textdegree\\\\\theta=30\textdegree$

4 0

3 years ago

Is the function f(x) = -x its own inverse? amos @audreyw2014

Assoli18 [71]

Answer:

f(x) and its inverse are the same

Step-by-step explanation:

The inverse function

If y=f(x), the inverse function $f^{-1}(x)$ is defined such as

$f(f^{-1}(x))=x$

To find the inverse function, there is a practical method:

a) Change letters x for y and vice-versa

b) Isolate y in terms of x only

c) $y=f^{-1}(x)$

In our case, $y=f(x)=-x$

a) Interchanging letters

$x=-y$

b) Isolate $y=-x$

c) $f^{-1}(x)=-x$

As we can easily see, f and its inverse are exactly the same

$f(x)=f^{-1}(x)$

7 0

3 years ago

Maria has c boxes of 10 pencils. The teacher gives her another 20 pencils. How many pencils does she have altogether?

o-na [289]

The equation to your question would be P =10(c)+20. meaning 10 pencils in each box multiplied by the number of boxes (c) plus the 20 pencils the teacher gives her will equal the number of pencils (P) she has altogether. (C stands for the number of boxes and P stands for pencils)

so lets say she has 3 boxes. well, c stands for boxes soooo...... all you have to do is plug in 3 were c is. giving you this equation P = 10(3)+20. then all you have to do is solve. P = 10(3)+20
10 times 3 = 30 so P = 30+20
then add 30 and 20 P = 50 she has 50 pencils altogether

(remember this is just an example, 50 pencils is NOT the answer to your question. but you can use the equation i gave you to find your own answer!) :) Hope this helps!!

4 0

3 years ago

Read 2 more answers

Sarah decides to take her six year old son to the cirous. The price for the child's ticket is 4.75 dollars less than the price f

kumpel [21]

The equation would be
x=y-4.75

5 0

3 years ago

Can anyone please solve this and tell me if it's correct please

NikAS [45]

Answer:

Q1. 15
Q2. You're correct
Q3. 3.60
Q4. 2 Correct