URGENT PLEASE HELP If you answer this correctly ill answer some of your questions you have posted! (39pts)

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n  = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

16.9 times 2.85

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.