Surface area- Rectangle Please help ASAP

Two sides of a triangle have measures 3 ft. and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Tanya [424]

Answer:

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c = 27ft

Step-by-step explanation:

Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides

Let c be the missing sides

According to the cosine rule;

c² = a²+ b² - 2abcosC

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c² = 9 + 36 - 36cos60

c² = 45 - 36cos60

c² = 45 - 36(0.5)

c² = 45 - 18

c² = 27ft

Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60

8 0

3 years ago

X - 2/5= 7 find out what x is

nalin [4]

Answer:

see below

Step-by-step explanation:

x - 2/5= 7

Add 2/5 to each side

x - 2/5 + 2/5 = 7+2/5

x = 7 2/5

or if

( x-2) /5 = 7

Multiply each side by 5

(x-2) /5 *5 = 7*5

x-2 = 35

Add 2 to each side

x-2+2 = 35+2

x = 37

8 0

3 years ago

Read 2 more answers

Brady rode his bike 70miles in 4 hours. He rode at an average speed of 17 mph for t hours and at an average speed of 22mph for t

sladkih [1.3K]

Answer:

The Distance cover by Brandy rod at slower speed of bike is 61.2 miles .

Step-by-step explanation:

Given as :

The total distance cover by Brady rode with bike = d = 70 miles

The total time taken by Brady rode with bike = 4 hours

The time taken for average speed of 17 mph = t hours

Let The time taken for average speed of 22 mph = (4 - t) hours

Let The distance cover for slower speed = d miles

Now, From formula

Distance = speed × time

So, Total distance cover = distance at slower speed + distance at faster speed

Or, 70 miles = 17 mph × t hours + 22 mph × (4 - t) hours

Or, 70 = 17 t + 22 × 4 - 22 × t

or, 70 = 88 + 17 t - 22 t

or, 22 t - 17 t = 88 - 70

or, 5 t = 18

∴ t = $\dfrac{18}{5}$

i.e t = 3.6 hours

So, The time taken for average speed of 17 mph = t = 3.6 hours

And The time taken for average speed of 22 mph = (4 - 3.6) = 0.4 hour

So, Distance cover at slower speed = slower speed × time at slower speed

i.e d = 17 mph × 3.6 h

Or, d = 61.2 miles

So, Distance cover at slower speed = d = 61.2 miles

Hence, The Distance cover by Brandy rod at slower speed of bike is 61.2 miles . Answer

4 0

3 years ago

The owner of a small store buys coats for $55.00 ecich. Answer parts a and b.

Darya [45]

Answer: 62.5% 162.5%

and here is more words so the program lets me post this

3 0

3 years ago

Simplify the following leaving your answer in positive index 1) (x/y)^-4 x (y/x)^8

Basile [38]

Answer:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12$

Step-by-step explanation:

Given

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$

Required

Determine the solution to this

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$

In law of incides:

$\frac{a}{b} = \frac{b}{a}^{-1}$

This implies that:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$ is equivalent to:

$(\frac{y}{x})^{-(-4)} * (\frac{y}{x})^8$

$(\frac{y}{x})^{4} * (\frac{y}{x})^8$

Apply first law of indices:

$(\frac{y}{x})^{4+8$

$(\frac{y}{x})^{12$

Hence:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12$

5 0

3 years ago