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Wittaler [7]
2 years ago
12

96 points here, having to ask same question again - please help a brother out.

Mathematics
2 answers:
Sauron [17]2 years ago
7 0
See attached pictures for answers

marin [14]2 years ago
3 0

the equation is - tan2 x + sec2 x = 1.

Left hand side identity : - tan2 x + sec2 x.

Trigonometric function : tan x = sin x / cos x,

Reciprocal identity : sec x = 1/cos x.

- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2

= - sin2 x/cos2 x + 1/cos2 x

= (1 - sin2 x)/cos2 x

Pythagorean identity : sin2 x + cos2 x = 1 .

= cos2 x / cos2 x

= 1

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QUICK EASY 25 POINTS!!
MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}

1.- Exact solution means that if in the final step when solving for x the value of  x^3 is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: 3^3*7, so there is a perfect cube factor (3^3), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: \sqrt[3]{7} = 1.91293118...

Therefore, the decimal approximation to the solving for x would be:

x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756

While if we use the approximate answer, we get:

4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

7 0
3 years ago
A single gram of a certain metallic substance has 0.52 g of copper and 0.25 g of zinc the remaining portion of the substance is
andrezito [222]
Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.

In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives 
0.52+0.25 = 0.77 g of the substance.

The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.

Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.

The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.
6 0
2 years ago
malia has a recipe for a cake that requires her to use 8 tablespoons of flour but can only find a teaspoon measure in her kitche
Kipish [7]

Answer:

24 Teaspoons

Step-by-step explanation:

If 1 Tablespoon equals 3 Teaspoons, then we can make the equation 3(8)=24.

We can factor out the 1 Tablespoon for 8 and multiply to reach our answer.

1 = 3

8 = ?

8 x 3 = 24

24/1 = 24

? = 24

Thanks,

Greg

4 0
2 years ago
Read 2 more answers
PLS HELP<br> Solve the equation for m. Show your work.<br> 19+m=30
Lena [83]

Answer:

11

Step-by-step explanation:

19 + m = 30

m = 30 - 19

m = 11

Hope it helps

8 0
2 years ago
Read 2 more answers
2.5y; when y = -5.2
attashe74 [19]
The answer is -13. You figure it out by multiplying 2.5×-5.2=13
7 0
2 years ago
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