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3 years ago

What ratio is equivalent to TanA?

Mathematics

1 answer:

USPshnik [31]3 years ago

3 0

Answer:

24/10

Step-by-step explanation:

From the diagram

Opposite BC = 24cm

Adjacent = AC = 10cm

tan theta = opposite/adjacent

Substitute

tan <A = BC/AC

tan <A = 24/10

Hence the equivalent ratio is 24/10

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The population of a town is increasing by 300 inhabitants each year. If its population at the beginning of 1990 was 21,152, what

babunello [35]

Answer:

Step-by-step explanation:

You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,

You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700

You add 2,700 to 21,152 to get B-23,852

8 0

3 years ago

Use the distributive property to simplify the following expression: 3y(2 - y) + 8y

Debora [2.8K]

3y(2 - y) + 8y
6y - 3y^2 + 8y
-3y^2 + 14 y

5 0

3 years ago

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is (7/5, 21/10)

5 0

3 years ago

2. Why does the sin Ɵ = cos (90 – Ɵ)? Show steps

Troyanec [42]

Answer:

R.H.S:

= cos ( 90 - theta )

= cos (90) cos(theta) + sin(90) sin(theta)

= 0 + sin(theta) =>[ cos(90) = 0 , sin(90) = 1]

= sin(theta)

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3 years ago

Ted needs an average of at least 70 on his three history test he has scored already 85 and 60 on two test what is the minimum gr

PilotLPTM [1.2K]

So average=(total of scores)/(number of tests)
needs at least average of 70
at least is represented as greater than or equal to or the sign (>)
70>(total)/(number oftests)

since we have 3 tests, we have to have 3 scores so
70>(x+y+z)/3
he scored 85 and 60
70>(x+85+60)/3 (doesn't matter which to subsitute)
70>(x+145)/3
multiply obht sides by 3
210>x+145
subtract 145 from both sides
65>x
he needs to get at leas 65 on his third test

4 0

3 years ago