There are 346 children going for an excursion.

(1) True or False? Explain your answer. The signs of the cosecant function will be the same as the sine function in each of the

aleksklad [387]

Answer:

True

Step-by-step explanation:

A number and its reciprocal have the same sign.

The cosecant is the reciprocal of the sine.

Therefore, the cosecant has the same sign as the sine.

4 0

3 years ago

Martin can run 1 mile in 7 minutes. What proportions can be written from this information?

jeka57 [31]

Answer:

$\frac{1}{7}=\frac{3}{21}$

$\frac{7}{1}=\frac{21}{3}$

Step-by-step explanation:

Verify each case

case 1) $\frac{1}{7}=\frac{3}{21}$

Multiply in cross and then compare both sides

$1*21=7*3$

$21=21$ ----> is true

therefore

Is a valid proportion

case 2) $\frac{1}{21}=\frac{3}{7}$

Multiply in cross and then compare both sides

$7*1=21*3$

$7=63$ ----> is not true

therefore

Is not a valid proportion

case 3) $\frac{7}{1}=\frac{3}{21}$

Multiply in cross and then compare both sides

$21*7=1*3$

$147=3$ ----> is not true

therefore

Is not a valid proportion

case 4) $\frac{7}{1}=\frac{21}{3}$

Multiply in cross and then compare both sides

$3*7=1*21$

$21=21$ ----> is true

therefore

Is a valid proportion

case 5) $\frac{1}{7}=\frac{21}{3}$

Multiply in cross and then compare both sides

$3*1=7*21$

$3=147$ ----> is not true

therefore

Is not a valid proportion

8 0

2 years ago

Read 2 more answers

(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)

svetoff [14.1K]

Answer:

The answer is 1…

Step-by-step explanation:

Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.

the final result will be

(240+15+40)+ (300+90-72)- (360+105+24)

Now solve

240-15+40=265

300+90-72=318

360+105+24=513

265+268-489

265+268= 11

533-513=20

bleh i m not sure naymore

5 0

3 years ago

Which is the equation of the line that passes through the points (4,3) and (6,2)?

NeX [460]

Answer:

$\large \boxed{y = - 0.5x + 5}$

Step-by-step explanation:

Goal

Find the equation of the line.

Given

Coordinate points which are (4,3) and (6,2).

Step 1

Find the slope by using slope formula or rise over run.

$\large{m = \frac{y_2-y_1}{x_2-x_1} }$

Substitute the coordinate points in

$m = \frac{3 - 2}{4 - 6} \\ m = \frac{1}{ - 2} \\ m = - \frac{1}{2} \longrightarrow - 0.5 \\ m = - 0.5$

Step 2

Rewrite the equation in slope-intercept form by substituting m = -0.5

$\large{y = mx + b}$

Substitute m = -0.5

$y = - 0.5x + b$

Step 3

Find the value of b by substituting any given coordinate points in the equation.

Substituting both coordinate points still give the same answer.

Step 3.1

Substitute (4,3) in the equation.

$y = - 0.5x + b \\ 3 = - 0.5(4) + b \\ 3 = - 2.0 + b \\ 3 = - 2 + b \\ 3 + 2 = b \\ 5 = b$

Step 3.2

Substitute (6,2) in the equation.

$y = - 0.5 x+ b \\ 2 = - 0.5(6) + b \\ 2 = - 3.0 + b \\ 2 = - 3 + b \\ 2 + 3 = b \\ 5 = b$

Step 4

Rewrite the equation again by substituting the value of b.

$y = - 0.5x + b$

Substitute b = 5 in the equation.

$y = - 0.5x + 5$

Hence, the equation is y = -0.5x + 5

3 0

2 years ago

2. Factorise : (i) 9x² + y² + 64 - 6xy +16y - 48x

kumpel [21]

Answer:

9x² + y² + 64 - 6xy - 16y - 48x

= 9x² - 6xy - 48x + y² - 16y + 64

= 9x² - 6x(y - 8) + y² - 2.8y + 8²

= (3x)² - 6x(y - 8) + (y - 8)²

= [3x - (y - 8)]²

= (3x - y + 8)²

Step-by-step explanation:

4 0

3 years ago