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Alecsey [184]
3 years ago
11

Find the measure of the indicated angle to the nearest degree. Will Give Brainliest!!

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 30/48

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 30/48)

? = 51.31781255

To the nearest degree

? = 51

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 40/53

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 40/53)

? = 40.99935365

To the nearest degree

? = 41

Since this is a right triangle, we can use trig functions

tan ? = opp/adj

tan ? = 1/2

Taking the inverse tan of each side

tan ^ -1 tan ? = tan ^ -1 ( 1/2)

? = 26.56505118

To the nearest degree

? = 27

Since this is a right triangle, we can use trig functions

sin ? = opp / hyp

sin ? = 29/35

Taking the inverse sin of each side

sin ^ -1 sin ? = sin ^ -1 ( 29/35)

? = 55.95226763

To the nearest degree

? = 56

Alenkasestr [34]3 years ago
7 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

All the triangles are right triangles, we can use trigonometric functions.

5) cos θ  = adj / hyp

cos x = 30/48

cos⁻¹ cos x = cos⁻¹ (30/48)

x = 51.31781...

x ≈ <u>51</u>

6) cos θ = adj / hyp

cos x = 40/53

cos⁻¹ cos x = cos⁻¹ (40/53)

x = 40.99935...

x ≈ <u>41</u>

7) tan θ = opp/adj

tan x = 1/2

tan⁻¹ tan x = tan⁻¹ (1/2)

x = 26.56505...

x ≈ <u>27</u>

8) sin θ = opp / hyp

sin x = 29/35

sin⁻¹ sin x = sin⁻¹ (29/35)

x = 55.95227...

x ≈ <u>56</u>

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In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
KATRIN_1 [288]

Answer:

61.5%

Step-by-step explanation:

Let's find all the demographics first:

Sophomores in the class(total 15):

Female: 5

Male : 10

Freshmen in the class(total 11):

Female: 3

Male: 8

There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.

4 0
3 years ago
I really need help. Find a. Round to the nearest tenth.
valina [46]

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79    (≈ 1.8)

6 0
3 years ago
Please help me thank you.
Alexxandr [17]

Answer:

B

Step-by-step explanation:

3      -4    |   2

0      -1     |   7

3/2    -2    |   1

R1/3 ----> R1  (divide Row 1 by 3)

1       -4/3    |  2/3

0        -1      |   7

3/2      -2     |   1

R3 - 3/2  R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)

1      -4/3    |   2/3

0       -1      |    7

0       0      |    0

R2 / -1 -------> R2 (Divide Row 2 by -1)

1      -4/3   |  2/3

0        1     |   -7

0        0    |   0

R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)

1     0     |   -26/3

0    1      |      -7

0    0     |      0

5 0
3 years ago
I NEED HELP ASAP!!!!!!!!!!!!!
erma4kov [3.2K]

Answer:

5

Step-by-step explanation:

GJ/UT

10/2

5

3 0
3 years ago
Read 2 more answers
Please help!!!! i don’t understand any of this and really need it.
astraxan [27]

Answer:

B) 3.2 mi

Step-by-step explanation:

1. The midpoints: midpoint formula = <em>((x₁ + x₂)/2, (y₁+ y₂)/2)</em>

upper = ((6 + -4)/2, (8 + 0)/2) --><em> (1, 4)</em>

lower = ((-8 + 2)/2, (3 + -5)/2) --><em> (-3, -1)</em>

2. Distance: distance formula = <em>√((x₁ - x₂)² + (y₁ - y₂)²)</em>

√((1 + 3)² + (4 + 1)²) = √(16 + 25) = √41 ≈ 6.403... ≈ <em>6.4</em>

3. Scale: 6.4 * 0.5 mi = 3.2 mi

5 0
3 years ago
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