All categories

3 years ago

write the equation and find the values of x. round side lengths to the nearest tenth and angle measures to the nearest degree

Mathematics

1 answer:

Vlad1618 [11]3 years ago

3 0

Answer:

x = 44°

Step-by-step explanation:

<u>Equation</u>:

cos x = 15/21
cos x = 0.714
x = arccos 0.714
x = 44° (rounded to the nearest degree)

You might be interested in

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1

natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-5-(-2))^2+(3-1)^2}$

$r=\sqrt{(-5+2)^2+(2)^2}$

$r=\sqrt{(-3)^2+(2)^2}$

On further simplification, we get

$r=\sqrt{9+4}$

$r=\sqrt{13}$

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and $r=\sqrt{13}$ .

$(x-(-2))^2+(y-1)^2=(\sqrt{13})^2$

$(x+2)^2+(y-1)^2=13$

Therefore, the equation of the circle is $(x+2)^2+(y-1)^2=13$ .

8 0

3 years ago

Can someone please help me answer these 2 questions with a full explanation of how you got the answer so I can do the rest mysel

finlep [7]

(a) The measure of the indicated angle for figure 1 is 48⁰.

(b) The measure of the indicated angle for figure 2 is 42⁰.

<h3>Measure of the indicated angle</h3>

The measure of the indicated angles can be calculated as follows;

<h3>Figure 1</h3>

sinθ = opp/hypo

sinθ = 72/97

sinθ = 0.7423

θ = sin⁻¹(0.7423)

θ = 47.9⁰ ≈ 48⁰

<h3>Figure 2</h3>

sinθ = 65/97

sinθ = 0.6701

θ = sin⁻¹(0.6701)

θ = 42.1⁰ ≈ 42⁰

Learn more about angles here: brainly.com/question/25770607

#SPJ1

7 0

2 years ago

Read 2 more answers

23/5 as a whole number or mixed number in simplest form and 12/4 whole and mixed numbers and in simplest form 36/6 in whole or m

iren2701 [21]

23/5 = 4 3/5

12/4 = 3

36/6 =6

29/6 = 4 5/6

47/8 =5 7/8

5 0

4 years ago

Read 2 more answers

The volume of a sphere is 2 comma 143.57 m cubed. To the nearest meter, what is the radius of the sphere? Use 3.14 for pi.

miskamm [114]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \sqrt[3]{\cfrac{6430.71}{4\pi }}=r\implies \stackrel{\pi =3.14}{7.9999956 \approx r}\implies \stackrel{\textit{rounded up}}{8=r}$

7 0

3 years ago

You are playing a card game. if you pull an ace you win $26, if you pull the king of hearts you win $204, if you pull a jack or

andreyandreev [35.5K]

How much money do you lose if you don’t get either of those options?
Specify?

4 0

3 years ago

write the equation and find the values of x. round side lengths to the nearest tenth and angle measures to the nearest degree ​

write the equation and find the values of x. round side lengths to the nearest tenth and angle measures to the nearest degree