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Andreyy89
3 years ago
11

The top angle of a right triangle has tan 0=2√2. what is cos 0?

Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

Learn to find the sine, cosine, and tangent of 45-45-90 triangles and also ... Until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. However, it is possible to evaluate the trig functions for certain angles without ... This is because there are two special triangles whose side ratios we know!

Step-by-step explanation:

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What is the ratio 10 to 65 written as a fraction in lowest terms?
mamaluj [8]

Answer:

2/13

Have a good day!

4 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
3 years ago
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 14 bushels
Levart [38]

Answer:

140-(14×7)=42

Step-by-step explanation:

if he sells 14 each day for 7 days. thats 14-7=98 and to find how many he has left, you have to subtract 98 from 140

7 0
3 years ago
Simplify.
ValentinkaMS [17]


first, you would rearrange the equation so that like terms were next to each other.

7y - 5y - x2 + 2x2 +3x - 17x

then you would reduce the equation based on like terms

2y + x2 - 14x

then simply rearrange the equation to get the answer, which is <u>B</u>

5 0
3 years ago
A $170.00 item is marked down by 10%.
kotykmax [81]

Answer:

The new price is $153

Step-by-step explanation:

10% 0f 170 is 17

170-17=153

8 0
3 years ago
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