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xeze [42]
3 years ago
6

Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0
Cosine is the ratio of the adjacent side to the hypotenuse.

In short, we have this equation
cos(angle) = adjacent/hypotenuse

In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5

The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)

So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5
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The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
const2013 [10]

Answer:

28.26 units

Step-by-step explanation:

We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.

A = π(3^2) or A = π * 3 * 3

When you substitute pi for 3.14, you'll end up getting 28.26 units.

Hope this helped! :)

6 0
2 years ago
P - 11p + 24 I need to solve this factoring quadratic ​
NikAS [45]

Answer:

-2 x (5x-12)

Step-by-step explanation:

5 0
3 years ago
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are ask
fenix001 [56]

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    $=\frac{80+115}{250}$

    = 0.78

b). Psychology major $=\frac{80+20}{250}$

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = $\frac{115}{250}$ = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = $\frac{20}{250}$  =  0.018

8 0
3 years ago
The radius of a circle is 11 feet. What is the circle's area? Use 3.14 for ​
vovikov84 [41]

Answer:

Formula for area of a circle;

<u>A = πr^2</u>

where pi is 3.14 in this case, and r is the radius squared

Plug in the actual values;

A = 3.14 x 11^2

A = 3.14 x 121

A = 379.94 square feet

7 0
2 years ago
At 7:17AM this morning, it was 83˚F outside. What is 83˚F in Celsius? What is 83˚F in Kelvin?
Temka [501]

Answer: 28.33 Celsius and 301.483 Kelvin

83°F − 32) × 5/9 = 28.333°C

(83°F − 32) × 5/9 + 273.15 = 301.483K

4 0
3 years ago
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