All categories

4 years ago

A4 Find length AC idk how to do this someone help me

Mathematics

2 answers:

Alecsey [184]4 years ago

8 0

Answer:

AC ≈ 16.8 cm ( to 1 dec. place )

Step-by-step explanation:

Using the sine ratio in the right triangle

sin71° = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{15.9}{AC}$

Multiply both sides by AC

AC × sin71° = 15.9 ( divide both sides by sin71° )

AC = $\frac{15.9}{sin71}$ ≈ 16.8 cm

Olegator [25]4 years ago

7 0

Answer:

16.8 cm

Step-by-step explanation:

Sin (theta)=opposite/HYPOTENUSE

Where theta=71 and opposite=15.9

Putting in the above formula

Sin 71=15.9/AC

AC=15.9/sin71

AC=15.9/0.945

AC=16.8 cm

You might be interested in

One angle of a right triangle measures 8°. What is the measure of the other acute angle?

Ivahew [28]

Answer:

82°

Step-by-step explanation:

The acute angles in a right triangle are complementary. The other one is ...

90° -8° = 82°

5 0

3 years ago

What is the slope of the line passing through the points (0,0),(1/3,7/3)?

umka21 [38]

(0,0)(1/3,7/3)

slope = (7/3 - 0) / (1/3 - 0) = (7/3) / (1/3) = 7/3 * 3 = 21/3 = 7 <==

8 0

4 years ago

What is 2x2x2x2x2x4x0

musickatia [10]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

Read 2 more answers

M= 0 passes through the point (-1,3)

Len [333]

Answer:

y = 3

Step-by-step explanation:

I will assume you want to put this in slope intercept form.

We need to solve for b in y = mx + b since we are given a point and the slope.

y = 0x + b

y = b

3 = b

y = 3

Note that since the slope is 0, there will be nothing to represent m.

Best of Luck!

3 0

3 years ago