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hodyreva [135]
3 years ago
5

Cos 35º sin 55° + cos 55° sin 35°

Mathematics
2 answers:
Tresset [83]3 years ago
5 0

Answer:

1

Step-by-step explanation:

CosASinB + SinACosB

Sin(A+B)

Sin(35+55) = Sin(90) = 1

konstantin123 [22]3 years ago
5 0

Answer:

1

Step-by-step explanation:

Cosine and sine are opposing functions. The degrees in the equation add up to 90 degrees. In a sense, you are adding two halves together into a whole.

Hope this helps!

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An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously
Hatshy [7]

Answer:

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

299.4\leq\mu\leq 330.6

Step-by-step explanation:

We have to construct a 99% confidence interval for the mean.

A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.

For a 99% confidence interval, the value of z is z=2.58.

We can calculate the confidence interval as:

M-z\sigma/\sqrt{n}\leq\mu\leq M+z\sigma/\sqrt{n}\\\\315-2.58*16/\sqrt{7}\leq\mu\leq 315+2.58*16/\sqrt{7}\\\\315-15.6\leq \mu\leq 315+15.6\\\\299.4\leq\mu\leq 330.6

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0
3 years ago
Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35
inysia [295]

f(5) means to replace x in the equation with 5 then solve.

f(x) = x^2 +2x

f(5) = 5^2 + 2(5)

f(5) = 25 +10

f(5) = 35

The answer is D)35

7 0
3 years ago
Solve the following system of equations using the SUBSTITUTION method. Show all your work! x = 2y + 1 x + y = 4
Alexxandr [17]

Answer:

Step-by-step explanation:

4x+y=14

x-2y=8

then;

x=8-2y

substitute;

4(8-2y)+8-2y=14

32-8y+8-2y=14

40-10y=14

26=10y

y=2.6 , work out 4x+2.6=14 to get x

3 0
2 years ago
3. Simplify the following<br>a)[(116)3 x 114]x 1212​
Fiesta28 [93]

Answer:

48082464 is the answer

Step-by-step explanation:

=[(116)3×114] × 1212​

=[348×114] × 1212

=39672 × 1212

=48082464 is the answer

hope it will help :)

7 0
3 years ago
Read 2 more answers
How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?
My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=Length*Width*Height

Length=2 cm\\\\    Width=1 cm\\   \\ Height=3/2 cm = 1.5 cm

Volume of Prism = 2*1*1.5

                      =3.0 cm^3

Volume of the Cube:

                                    Side*Side*Side\\\\=0.5*0.5*0.5

                                      = 0.125 cm^3

Number of cubes that fills the prism:

                                        3.0/0.125\\\\=24 cubes

So, the number of cubes that can fill the prism is '24'

8 0
3 years ago
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