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3 years ago

Simplify. 8/9+(−5/6)1/6 Enter your answer, in simplest form, in the boxes.

Mathematics

2 answers:

Gala2k [10]3 years ago

6 0

8/9+(−5/6)1/6 =

= 8/9 - 5/36

= (32-5)36

= 27/36

= 3/4

Hatshy [7]3 years ago

6 0

its not 3/4, its 1/3. i took the test.:)

i know it wont help but maybe it will help others:)

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Plz help me with this...there might be errors in this but I'm not sure

Flura [38]

Step-by-step explanation:

1. cot(A − B)

From angle sum/difference equations, we know this equals:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

But we also know it equals:

cot(A − B) = 1 / tan(A − B)

cot(A − B) = (1 + tan A tan B) / (tan A − tan B)

Setting the two equal to each other:

(cot A cot B + 1) / (cot B − cot A) = (1 + tan A tan B) / (tan A − tan B)

Writing tangent in terms of cotangent:

(cot A cot B + 1) / (cot B − cot A) = (1 + 1 / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = ((cot A cot B + 1) / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = (cot A cot B + 1) / ((cot A cot B) (tan A − tan B))

Divide both sides by the numerator:

1 / (cot B − cot A) = 1 / ((cot A cot B) (tan A − tan B))

Take inverse of both sides:

cot B − cot A = (cot A cot B) (tan A − tan B)

Solve for cot A cot B:

cot A cot B = (cot B − cot A) / (tan A − tan B)

cot A cot B = a / b

Now substitute into the first angle difference equation we wrote earlier:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

cot(A − B) = (a / b + 1) / a

cot(A − B) = (a / b) / a + 1 / a

cot(A − B) = 1 / b + 1 / a

2. cos A / (1 ± sin A)

From angle sum/difference formulas, we know:

sin (90 ± A) = cos A

cos (90 ± A) = ∓ sin A

Substituting:

sin (90 ± A) / (1 − cos (90 ± A))

From half angle formula, this equals:

cot (45 ± A/2)

Using reflection:

-cot (-45 ∓ A/2)

And finally, phase shift:

tan (-45 ∓ A/2 + 90)

tan (45 ∓ A/2)

Check that you wrote the problem correctly. Looks like you switched ∓ with ±.

8 0

3 years ago

PLZ HELP!!! I'M BEGGING YOU!!! A hero is fighting with a dragon. At first, the dragon has three heads but each time the hero cho

Serga [27]

Answer:

n = 3x

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Identify the domain and range of each of the graphs below. Domain: Range:

Anna11 [10]

Answer:

Domain → (-∞, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the graph.

Similarly, Range of the function is defined by the y-values or output values from the graph.

From the picture attached,

x - values for the line shown in the graph vary from negative infinity to positive infinity.

Therefore, Domain of the function will be → (-∞, ∞)

And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)

8 0

3 years ago

1. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: s + 7 *

rosijanka [135]

Answer:

1. s + 7 = 9

2. 5r - 4 = 21

3. t - s = 5

4. u + r = 6

5. 11t - 7 = 70

6. 6 + 3u = 9

7. 4r - 10s = 0

8. r with an expnent of 2 +8 = $r^{2} + 8 = 33$

9. 30 over r = $\frac{30}{5}$ =6

10. 2t with an exponent of 2-18 = $(2t)^{2} - 18 = 178$

Step-by-step explanation:

1. If r = 5, s = 2, t = 7, and u = 1 then,

s + 7 = 2 + 7 = 9

2. If r = 5, s = 2, t = 7, and u = 1 then,

5r - 4 = 5(5) - 4 = 25 - 4 = 21

3. if r = 5, s = 2, t = 7, and u = 1 then,

t - s = 7 - 2 = 5

4 .If r = 5, s = 2, t = 7, and u = 1 then,

u + r = 1 + 5 = 6

5. If r = 5, s = 2, t = 7, and u = 1 then,

11t - 7 = 11(7) - 7 = 77 - 7 = 70

6. If r = 5, s = 2, t = 7, and u = 1 then,

6 + 3u = 6 + 3(1) = 6 + 3 = 9

7. If r = 5, s = 2, t = 7, and u = 1 then,

4r - 10s = 4(5) - 10(2) = 20 - 20 = 0

8. If r = 5, s = 2, t = 7, and u = 1 then,

r with an exponent of 2 +8 = $r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33$

9. If r = 5, s = 2, t = 7, and u = 1 then,

30 over r = $\frac{30}{r} = \frac{30}{5} = 6$

10.If r = 5, s = 2, t = 7, and u = 1 then,

2t with an exponent of 2-18 = $(2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178$

7 0

3 years ago

The base and hight is 5 and 5

WINSTONCH [101]

Answer:

The area of the deck that surrounds the hot tub is 17.9 m².

Step-by-step explanation:

Base of deck = 5 m

Height of deck = 5 m

Area of deck = base*height

= 5*5

= 25 m²

A circular hot tub is placed in the deck whose diameter is 3 m.

Radius = diameter/2

= 1.5 m

Area of the circular hot tub = πr²

= 3.14*(1.5*1.5)

= 7.07 m²

Area of the deck that surrounds the hot tub = Area of deck - Area of tub

= 25 - 7.07

= 17.93 m²

= 17.9 m²

6 0

3 years ago

Read 2 more answers