Answer and explanation:
There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.
Those ratios relate two sides of a right triangle and one angle.
Assume the following features and measures of a right triangle ABC
- right angle: B, measure β
- hypotenuse (opposite to angle B): length b
- angle C: measure γ
- vertical leg (opposite to angle C): length c
- horizontal leg (opposite to angle A): length a
- angle A: measure α
Then, the trigonometric ratios are:
- sine (α) = opposite leg / hypotenuse = a / b
- cosine (α) = adjacent leg / hypotenuse = c / b
- tangent (α) = opposite leg / adjacent leg = a / c
- cosecant (α) = 1 / sine (α) = b / a
- secant (α) = 1 / cosine (α) = b / c
- cotangent (α) = 1 / tangent (α) = c / b
Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.
For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.
- sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
- cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3
Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.
Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:
To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
Answer:
i think its 735
Step-by-step explanation:
since the base is a square it should be a whole square which is 7 and the height is 15 and v=whl and multiply all of it 7 times 7 is 49 times 15 is 735.
The principal loan amount will be 250000. P is denoted by the principal loan amount
<h3> What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the principal loan amount
r is the rate of interest = 2.49%
n is the time period= of 30 years
The formula for the principal loan amount is found as;
Hence the principal loan amount will be 250000.
To learn more about the amount, refer to the link;
brainly.com/question/12184047
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Answer:
a. 72 inches
b. 21.3 inches
Step-by-step explanation:
12:27
a. 32 inches in height
32/x = 12/27
Set these fractions equal to each other
32= 12
12 times 2.6(repeating decimal) equals 32
So to find the width do 2.666... time 27 and you get 72 inches.
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b. 48 inches in width
Again set the fractions equal to each other.
x/48 = 12/27
48 divided by 27 equals 1.77777....
To get height, do 1.77777.... times 12 and you get 21.3333333
But since it is to the nearest tenth, you get 21.3 inches
Hope that helps!
