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3 years ago

If the measure of 0 is A radians and B degrees, then A=180B/pie

1 answer:

3 0

Yup that is correct, that is the way to convert measurements of angle from radians to degrees. because 2pi is equivalent to one revolution of a circle and in degrees is equal to 360 degrees, then simplifying it 360 / 2pi = 180 / pi.
so <span>the measure of 0 is A radians and B degrees, then A = 180 B/pi</span>

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Write as a fraction.

lesantik [10]

Answer:

the answer is 5/8

Step-by-step explanation:

8 0

3 years ago

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Find the value of cos x° + sin yº

MA_775_DIABLO [31]

Answer:

1.84

Step-by-step explanation:

The given arc is a part of a unit circle centered at origin.

The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.

So, for angle equal to $x$ °, the x coordinate represents $cos (x)$ °.

So, $cos x$ ° = 0.86

Similarly, the y-coordinate of angle y represent $\sin y$ °.

So, $\sin y$ ° = 0.98

Therefore, the value of $cos (x)$ ° + $\sin y$ ° = 0.86 + 0.98 = 1.84.

4 0

3 years ago

At a baseball game, a vender sold a combined total of 170 sodas and hot dogs. the number of hot dogs sold was 50 less than the n

Juliette [100K]

Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.

x+y=170 (We know that soda + dogs is 170)

x-50=y (We know that dogs is equal to 50 less than sodas)

We can use substitution to solve this system of equations.

x+y=170

Sub in the value of y from the second equation

x+(x-50)=170

2x-50=170

2x=220

x=110

We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.

x+y=170

110+y=170

y=60

So, there were 60 hotdogs sold and 110 sodas sold.

8 0

3 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

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the sphere at the right fits snugly inside a cude with 14in edges. what is the approximate volume of the space between the spher

ella [17]

Answer:Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

Step-by-step explanation:

6 0

2 years ago