Answer:

Step-by-step explanation:
Multiply the two polynomials by multiplying each term

Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
brainly.com/question/12172664
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years
Answer:
Peppa does not know
Step-by-step explanation: