Answer:
sin2A +cos2A=1. Its a standard identity.
We know that sinA= H B
--- and cos A=----
P H
Hence sin² A= P² B²
----- and cos²A -----
H² H²
Hence adding the above given functions sin²A+cos²A we get
H²
sin²A+cos²A = -------- =1
H²
Using P² +B²=H² by Pythagoras Theorem
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.
Answer:
the answer is 300 if you divide y'know
Step-by-step explanation:
The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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Answer: interest = $ 3,629.34
Step-by-step explanation:
Complete question
(Marlie will be starting college next year, federal unsubsidized student loan in the amount of $18,800 at 4.29%. She knows that during this non-payment time, interest will accrue at 4.29%. Suppose Marlie only paid the interest during her four years in school and the six-month grace period. What will she now pay in interest over the term of the loan.)
This question relates to interest over a single period of time and since it's not compounded, we use formula for simple interest to calculate the interest accrued.
Data;
P = $18,800
R = 4.29% = 0.0429
T = 4.5 years
S.I = ?
S.I = PRT
S.I = 18,800 * 0.0429 * 4.5
S.I = $3,629.34
Therefore she'll need to pay $3,629.34 as interest accrued.