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3 years ago

Answer fast please and thanks!

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

Answer:

tan 30 = x / 15

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = x

Adjacent Leg = 15

Step 2: Solve for x

Substitute in variables [tangent]: tan 30 = x / 15

arlik [135]3 years ago

7 0

Answer:

3rd one

Step-by-step explanation:

Recall that

Sin = opposite over hypotenuse

Cos = adjacent over hypotenuse

Tan = opposite over adjacent

For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length

When dealing with opposite and adjacent we use tangent

If tan = opposite over adjacent

Then tan30 = x / 15 and the correct answer choice is the third one

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Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{Volume\:of\:the\:figure = 334.93\:cm^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

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3 years ago

Congruent figures and cronguentn triangles

Firdavs [7]

Answer:true

Step-by-step explanation:

3 0

4 years ago

If you add natalie's age and fred's age, the result is 39. if you add fred's age to 3 times natalie's age, the result is 65.

polet [3.4K]

Hi there! Natalie's age is 13 and Fred's age is 26

Let Natalie's age be represented by x.
Let Fred's age be represented by y.

The sum of Natalie's and Fred's age is 39, so x + y = 39
The sum of three times Natalie's and (one time) Fred's age is 65, so 3x + y = 65

$\left \{ {{x+y=39} \atop {3x+y = 65}} \right.$
Eliminate y by subtracting

$x - 3x + y - y = 39 - 65$
$-2x = -26$
Divide by -2

$x = -26/-2 = 13$

$\left \{ {{x+y=39} \atop {x=13}} \right.$
$13 + y = 39$
Subract 13

$y = 26$

Therefore, Natalie's age is 13 and Fred's age is 26

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Fraction that simplifies to 7/8. Numerator must be divisible by 5

NeTakaya

35/40

That is one of them.

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4 years ago

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Two parallel lines are crossed by a transversal.

wel

Answer:78