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Bingel [31]
3 years ago
7

Write (8a^-6) in simplest form.

Mathematics
1 answer:
salantis [7]3 years ago
7 0
It's 8/a^6 that's your answer
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Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

5 0
4 years ago
You walk north for 2.5 miles. then you walk east a distance of 3.0 miles. how many miles from the starting point are you?
zvonat [6]
All you do is add 3.0 and 2.5
This would give u 5.5

Correct me if i'm wrong, but i hope it helps
3 0
3 years ago
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational
andrew11 [14]
<h3>Answer:  65/63</h3>

=================================================

Explanation:

Draw a right triangle in the first quadrant, aka northeast quadrant, as shown in the diagram below.

Cosecant involves the ratio of hypotenuse over opposite. It's the reciprocal of sine

sin(angle) = opposite/hypotenuse

csc(angle) = hypotenuse/opposite

since csc = 1/sin

Use the pythagorean theorem to solve for b in the diagram

a^2+b^2 = c^2

16^2+b^2 = 65^2

256+b^2 = 4225

b^2 = 4225-256

b^2 = 3969

b = sqrt(3969)

b = 63

So this is the adjacent side. The secant ratio involves hypotenuse over adjacent (it's the reciprocal of cosine).

sec(angle) = hypotenuse/adjacent

sec(A) = 65/63

5 0
3 years ago
What is the area of the base of this figure?
andreev551 [17]

Answer:

12 cm²

Step-by-step explanation:

The base face of the trriangular prism is a triangle with base (of the triangle) 8 cm and height (of the triangle) 3 cm.

area of triangle = base × height / 2

area = (8 cm)(3 cm)/2

area = 12 cm²

3 0
2 years ago
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If you have an animated profile picture you are fat irl
OlgaM077 [116]

Answer:

welp.

Step-by-step explanation:

5 0
3 years ago
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