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3 years ago

What is the value of x

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Sin = Opposite/Hypotenuse

sin(30°) = 5/x

Solving for x, we get ...

x = 5/sin(30) = 5/0.5

x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

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6/7 is the ratio in simplest form.
You take 24/28 and divide it by their GCF, which is 4.
24/28 divided by 4/4 is 6/7.

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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Elenna [48]

Answer:

$cos(V)=\frac{39}{89}=.44$

∠ $V=64.01$ °

Step-by-step explanation:

$sin(angle)=\frac{opposite}{hypotenuse}$

$cos(angle)=\frac{adjacent}{hypotenuse}$

$tan(angle)=\frac{opposite}{adjacent}$

The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.

With this in mind:

$cos(V)=\frac{39}{hypotenuse}$

We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
Pythagorean Theorem: $a^2+b^2=c^2$ where $a$ , $b$ , and $c$ are the 3 different sides of a right triangle.

$a^2+b^2=c^2\\(39)^2+(80)^2=c^2\\1521+6400=c^2\\c=\sqrt{7921} \\c=89$

Our hypotenuse is $89$ . Now we can finish solving for ∠ $V$ .

$cos(V)=\frac{39}{89}\\V=cos^-^1(\frac{39}{89})\\$

∠ $V=64.01$ °

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Find the value of b if ∛b = 2. <br> Question 17 options: <br> A) 4 B) 27 C) 16 D) 8

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Answer:

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Step-by-step explanation:

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Answer:

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Multiply (2.5x10^-10) (7x10^-6)

serious [3.7K]

We want to multiply $2.5\cdot10^{-10}$ by $7\cdot10^{-6}$ .

The numbers are written in scientific notation. So we expect the answer also to be in scientific notation.

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