Answer:
a. 20.5
Step-by-step explanation:
because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x
therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a
Answer:
The correct answer option is a. 20.5 feet.
Step-by-step explanation:
We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.
We are to find the distance of the building from the base of the ladder.
For this, we will use tan:
x = 20.5 feet
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
Answer:
165°
Step-by-step explanation:
Find the interior angle measure by using the formula, ((n - 2) x 180°) / n
Plug in 24 as n:
((n - 2) x 180°) / n
((24 - 2) x 180°) / 24
(22 x 180°) / 24
3960 / 24
= 165
So, the measure of each angle is 165°
Answer:
163.6
Step-by-step explanation:
180•(22-2)=180•20 =3600
3600/22= 163.636363…
explained pls
Answer:
x is equal to 16
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
Simplify it
Subtract 3 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Subtract 2 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify!
That's it!
Answer:
<eba and <hbi are congruent angles
Step-by-step explanation:
They are vertical angles, therefore congruent
The height of the television set would be 21.6 inches to the nearest inch.
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.
Let b represent the height of the television set.
We will use the Pythagorean theorem;
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
√ b² =√ 468
b = height
b = 21.6 inches
Therefore, the height of the television set would be 21.6 inches to the nearest inch.
Learn more about Pythagoras' theorem here:
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