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Sliva [168]
3 years ago
8

In right triangle ABC, AB=6, BC=12, and m∠A=90°. What is the value of cot C?

Mathematics
1 answer:
VikaD [51]3 years ago
5 0
I believe C  it is 45

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Question is on the picture
aleksklad [387]

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

4 0
3 years ago
Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region
MrMuchimi

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

4 0
3 years ago
3x-5y=15 y-intercept
gavmur [86]
Y intercept is 0,0!!
3 0
3 years ago
What is the ordered pair solution to the system y= -4x and y=2x+12 ??
german

Answer:

The ordered pair solution is (-2, 8)

Step-by-step explanation:

y = -4x ------ equation 1

y = 2x + 12 ---- equation 2

We solve for x by substitution;

Substituting the value of y into equation 2;

y = 2x + 12

-4x = 2x + 12

-4x -2x = 12

-6x = 12

Divide by -6

x = 12/(-6)

x = -2

From equation 1;

y = -4x

Substituting the value of x;

y = -4×(-2)

y = 8.

PROOF;

y = -4x

8 = -4*(-2)

8 = 8

4 0
4 years ago
A set of data is summarized by the stem and leaf plot below.
AlekseyPX

Answer:

(a) There are <u>12</u> values in the data set which are greater than or equal to 10 and less than or equal to 19.

(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.

(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.

Step-by-step explanation:

We are given a set of data that is summarized by the stem and leaf plot below;

Steam Leaf

1  0 0 2 4 4 4 7 8 8 8 8 9

2  2 2 5 5 7 8

3  3 4 4 5 5 5 6 6 6 7 9 9

4  3 3 3 5 5 7 9

<u>This shows that the data values are:</u> 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.

(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.

(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.

(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.

6 0
3 years ago
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