The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
- The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
- The angles in the rhombus are 44 and 46 degrees, respectively
<h3>How to determine the values of x?</h3>
<u>Triangle 1</u>
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
<u>Triangle 2</u>
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
<u>Triangle 3</u>
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
<h3>How to calculate the angles of the rhombus?</h3>
The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
Read more about tangent ratio at:
brainly.com/question/13347349
Answer:
almost 0%
Step-by-step explanation:
Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800
using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:
Sea sumatoria de x = SUMX, tenemos que:
= P (z => 3.75)
= 1 - P ( z < 3.75)
P = 1 - 0.999912
P = 0.000088
Which means that the probability is almost 0%
Answer:
B—283 cm^2
Step-by-step explanation:
SA=πr^2 + πrl
r=5
l=13
SA=π5^2 + π5*13
SA=π25 + π65
SA=78.5398 + 204.2035
SA=282.7433
SA=283=B
Answer:
<em><u>√</u></em><em><u>-32 imaginary numbers</u></em>
<h3>4√2i is the right answer.</h3>
Answer:
1. 11 12 13 14 15 16 22 23 24 25 26 33 34 35 36 44 45 46 55 56 66
2. 6/10
3. less then 34 because theres 6 numbers and 6 divided by 100 is 16
Step-by-step explanation:
