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Wewaii [24]
4 years ago
7

HELP :Write the expression as the sine or cosine of an angle.

Mathematics
1 answer:
Reptile [31]4 years ago
5 0

Answer:

sin(4π/21)

Step-by-step explanation:

Step 1: Rearrange expression

sin(π/3)cos(π/7) - cos(π/3)sin(π/7)

Step 2: Use sin(A ± B)

sin(π/3 - π/7)

Step 3: Evaluate

sin(4π/21)

And we have our answer!

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. To convert the ratio of 3:5 to 5:6, which number should be added on both?​
Pachacha [2.7K]

Answer:

7

Step-by-step explanation:

3:5 + 7 = 10:12

10:12 when shortened is 5:6

5 0
3 years ago
Write the equation of the line given an x -intercept of 10 and y -intercept of 5.
Sergeu [11.5K]

Answer:

y = (-1/2)x + 5

Step-by-step explanation:

As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units.  Thus, the slope of this line is

m = rise / run = -5 / 10 = -1/2.

Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line:  y = mx + b.

Substituting -1/2 for m and 5 for b, we get:

y = (-1/2)x + 5

8 0
4 years ago
Mr. Walker, a runner, asked students to find the unit rate of the winner of the first Boston Marathon in 1897. John J. McDermott
EleoNora [17]

Answer: 8.4 miles per hour

Step-by-step explanation:

Since, total distance = 24.5 miles,

Time taken =  175 \text{ minutes} = \frac{175}{60} \text{ hours} =\frac{35}{12} \text{ hours}

Thus,

\text{ The unit rate} = \frac{\text{ Total distance}}{\text{ Time taken}}

=\frac{24.5}{35/12}

=\frac{294}{35}

=8.4\text{ miles per hour}

6 0
3 years ago
Ricardo has agreed to tutor for the school. He owes his older brother $59 and would like to end the summer with at least $400 in
Dvinal [7]

Answer:

44 or 45

Step-by-step explanation:

400 divided by nine

5 0
3 years ago
Read 2 more answers
Show work 29 points pls help
Tanzania [10]

Answer:

a

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

\frac{y}{x} = k

To find k use any ordered pair from the table

Using (2, \frac{5}{2} ) , then

k = \frac{2}{\frac{5}{2} } = 2 × \frac{2}{5} = \frac{4}{5}

7 0
3 years ago
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