I believe its $6.95 but i did that in my head so i might be wrong
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
-8x^2+7x-10 should be the answer...if not go to connects it’s an app that helps and live people help you solve the problem
Answer:
Option B.
Step-by-step explanation:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example).
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
Deposits of $765.13, so 
Each month, for 3 years. An year has twelve months, so 
2% Interest a year. An year has 12 months, so 
Find the final amount of the account.
The final amount of the account will be $28,363.46, which is option B.
Answer:
<h2>270 ft²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
<em>Look at the picture</em>
We can divide a given polygon into three rectangles:
The formula of an area of a rectangle <em>l × w </em>:
Calculate the area of each of the rectangles:
The area of the given polygon:
<h3 /><h3>METHOD 2:</h3>
<em>Look at the second picture</em>.
We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):
