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3 years ago

Need help on 1-6 please I need to solve for x and I need to get this done.

Mathematics

1 answer:

Firdavs [7]3 years ago

8 0

1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.

1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428

2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°

3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063

4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°

5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675

6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°

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Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number

Daniel [21]

3:2
3x - first number
2x - second number

2x = 24 / : 2
x = 12

3*12 = 36

answer: the larger number is 36.

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3 years ago

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The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z

suter [353]

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3 years ago

It is 42 1/2 miles from Eaton to Baxter and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington if yo

mina [271]

All you need to do is add the miles from Eaton to Baxter and from Baxter to Wellington to get your answer...

42 + 37 = 79

Now we need to add the fractions

$\frac{1}{2} + \frac{4}{5} = ...
$

To add we need a common denominator.
2 and 5 can both go into 10, so that will be a our common denominator.
Now you have...
$\frac{5}{10} + \frac{8}{10} = \frac{14}{10}$
which is equal to $1 \frac{2}{5}$
add that to the 79 we got earlier ...

The toal and final answer is $80 \frac{2}{5}$ miles !
Hope I helped and remember to vote this as the brainliest answer ! :)

5 0

3 years ago

Help on how to figure this out

MakcuM [25]

6/3 = 6 divided by 3
= 2

12/6= 12 divided by 6
= 2

3 0

3 years ago

Help me plz and explain your answer to me

Vlad1618 [11]

Answer:

$4.171\times10^6$

Step-by-step explanation:

Given:

First Number = 97

Second Number = $4.3\times10^4$

We need to find the product of two numbers in Scientific notation.

Product of two numbers means we need to multiply two number.

Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.

Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.

Number of decimal point moved needs to be counted. This number is b.

If decimal are moved to the left b is positive.

If decimal are moved to the right b is negative.

If decimal are not moved b = 0.

scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."

Hence the product is;

$97\times4.3\times 10^4 = 417.1 \times 10^4$

Expressing in Scientific Notation form we get

$4.171 \times 10^6$

Hence the Answer is $4.171 \times 10^6$ .

3 0

3 years ago