MATHEMATICS HIGH SCHOOL

Solve: 9x - 5 = 22
plz show your working :)

Answers

Answer 1
Answer: 9x - 5 = 22
9x = 22 + 5
9x = 27
x = 3
Answer 2
Answer: Add 5 to 229x=27Divide the 9 to 27X=3

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a cross-section is taken parallel to the bases of a general cylinder and has an area of 18. If the height of the cylinder is H, what is the volume of the cylinder? Explain your reasoning.

Answers

∵ the cross-section is parallel to the bases of the cylinder, then it is congruent to the bases thus, the area of the base of the cylinder is 18.
The volume of a general cylinder is the product of the area of the cylinder’s base times the height of the cylinder,
So the volume of the general cylinder is = 18 H

The ramp on the back of a moving van is 3ft high and rises at an angle of 25° . how long is the ramp . round to the nearest foot.

Answers

Remember Soh Cah Toa (say it aloud, this is how I remember it)- Sin(a)=Opposite/Hypotenuse, Cos(a)=Adjacent/Hypotenuse, and Tan(a)=Opposite/Adjacent. Each of these terms is related to the angle you're working with 
So for your problem: 
3 ft is opposite of the angle so to calculate the hypotenuse=3/Sin(25)

Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.7 sec^2 x(1 − sin^2 x)

Answers

The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.

How many significant figures are in the number 307? 080?

Answers

The significant figures in the given numbers 307 and 080.
1. 307 = three significant figures
2. 080 = two significant figures
3. 307, 080 = five significant figures Significant figures are important in determining values and rounding rules in scientific concepts. This is to avoid such confounding and escalating errors in measurement.  



What is 1/10 of 0.04

Answers

We could write the fractions as decimals.
.1 * .04 = .004 = (4)/(1000)

The answer is .004 or 4/1000.

The answer is 0.4 and I am sure because I got is correct, so trust me

Is it possible to form a triangle with side lengths 3, 3 and 4? If so, will it be scalene, isosceles or equilateral?

Answers

Yes, it is possible to form a triangle with side lengths 3, 3, and 4.

In this case, the triangle will be an isosceles triangle because two sides have the same length (3) and the other side is different (4).
Hope this helps :)
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What is the reciprocal of 4.5? And after I get the reciprocal how did they get 2 over 9 for the answer?
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