Find the length of AC Give your answer to 1 decimal place

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer:

AC ≈ 17.3 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan68° = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{AC}{7}$ ( multiply both sides by 7 )

7 × tan68° = AC , then

AC ≈ 17.3 cm ( to 1 dec. place )

Fantom [35]2 years ago

3 0

We will use tangent here as we are finding the opposite with the adjacent given.

So we can simply just put this into a calculator:

tan(68°) × 7 cm = AC

tan(68°) × 7 cm = 17.3 cm

You might be interested in

If you toss 9 fair coins, in how many ways can you obtain at least one tail?

maks197457 [2]

9/18 or 50% if you toss the coin because when you toss 1 coin you get a 1/2 chance of getting tails. Do that nine times and you get 9/18

3 0

2 years ago

Determine the quotient, q(x), and remainder, r(x) when

Fed [463]

ANSWER

Quotient:

$q(x) = {x}^{2} - 4x + 7\\$

Remainder:

$r(x) = 11x - 29$

EXPLANATION

The given functions are

$f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6$

and

$g(x) = 4 {x}^{2} + 4x + 5$

We want to find the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

$q(x) = {x}^{2} - 4x + 7$

The remainder is

$r(x) = 11x - 29$