Nathan is making a beaded bracelet. For every 5 red beads, there are 3 white beads.what is the ratio of red to white beads

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(60^o)=\frac{AC}{12}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{AC}{12}$

$AC=6\sqrt{3}\ units$

Problem 2

The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

$tan(60^o)=\sqrt{3}$

substitute

$\sqrt{3}=\frac{AC}{12}$

$AC=12\sqrt{3}\ units$

5 0

3 years ago

I give you easy question for easy points. Ok? Ok. 500+5

Mashcka [7]

Answer:

THANK YOU 505

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

The radius is 5 Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14

Vsevolod [243]

Answer:

A = 78.5 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know r =5 and pi = 3.14

A = 3.14 (5^2)

A = 3.14 (25)

A = 78.5 cm^2

6 0

3 years ago

Select two ordered pairs that satisfy the function y = – 4x – 1.

blagie [28]

Answer:

(0, -1), (1/4, 0)

Step-by-step explanation:

I provided you with the y and x intercepts of the function

5 0

3 years ago

Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1

Rudiy27

Answer:

Step-by-step explanation:

1. Erosion patterns

(a) Western Beach

In 15 yr, Western Beach erodes from 100 ft to 70 ft.

The rate of erosion is 30 ft/15 yr = 2 ft/yr.

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

Beaches with equal width

The western beach loses 2 feet each year, every 5 years the beach loses 10 feet. Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

2.From the table, it appears that the beaches will have the same width sometime in year 11 (2006).

wester beach at 11 years it was 78.

dunes beach it was 75.

and these are the most closest value beatween two beaches

3. even if the rate remains constant we wont be able to have same width . because the width of weatern beach is decreasing and dunes beach is increasing. so the year their width was almost equal was year 11th. they will never have the same width because western beach is going down in width and dunes is going up.

hope it helps. hope i get brainlist

3 0

3 years ago