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nikitadnepr [17]
3 years ago
5

For the triangle above, find sin A.

Mathematics
2 answers:
Basile [38]3 years ago
8 0
                  check picture below

EastWind [94]3 years ago
8 0

Answer:

0.385.

Step-by-step explanation:

We have been given right triangle ABC. We are asked to find sin(A) for our given triangle.

We know that sin relates opposite side of a right triangle to the hypotenuse.

\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

We can see that opposite side to angle A is side CB and hypotenuse is AB. Upon substituting our given values in above formula we will get,

\text{sin}(A)=\frac{10}{26}

\text{sin}(A)=\frac{5}{13}

\text{sin}(A)=0.38461538\approx 0.385

Therefore, the sin(A) for our given triangle is 0.385.

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In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians.
Ostrovityanka [42]

Answer:

The arc length is 52.

4 0
3 years ago
there are 49 students on the cafeteria 35 girls and 14 boys what is the ratio of girls to boys int he cafeteria A) 2:5 B)1:2 c)5
Delvig [45]

Answer:

5:2

Step-by-step explanation:

35÷7= 5

14÷7=2

You get the ratio by dividing by a common multiple

7 0
3 years ago
Read 2 more answers
Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30
TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

-7, -3, 1, 5, . . .

An arithmetic sequence has a constant difference d and is defined by

a_n=a_1+\left(n-1\right)d

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4

\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

d=4

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

a_1=-7

as

a_n=a_1+\left(n-1\right)d

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

a_n=4\left(n-1\right)-7           ∵ d=4

\mathrm{Arithmetic\:sequence\:sum\:formula:}

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

\mathrm{Plug\:in\:the\:values:}

n=30,\:\space a_1=-7,\:\spaced=4

=30\left(-7+\frac{4\left(30-1\right)}{2}\right)

=30\left(58-7\right)     ∵  \frac{4\left(30-1\right)}{2}=58

=30\cdot \:51

=1530           ∵  \mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

a_n=4\left(n-1\right)-7

n = 30

\sum _{n=1}^{30}\:4\left(n-1\right)-7

=\sum _{n=1}^{30}4n-11

\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n

=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11

as

\sum _{n=1}^{30}4n=1860

and

\sum _{n=1}^{30}11=330

so

=1860-330

=1530

7 0
4 years ago
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
julsineya [31]

9514 1404 393

Answer:

  see attached for the drawing

  slope = -1/2

Step-by-step explanation:

For the rise of -1 and the run of 2, the slope is ...

  m = rise/run = -1/2 . . . . slope in simplest form

__

<em>Additional comments</em>

It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.

On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.

We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.

Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.

5 0
3 years ago
Ryan places a mirror on the ground 42 feet from the base of a tree. He walks backwards until he can see the top of the tree in t
Angelina_Jolie [31]
B, 36 feet will be your correct answer.
3 0
3 years ago
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