what is the simplified unit rate of 1/3 and 3/4

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

Answer:

105.3

Step-by-step explanation:

deltamath

Answer:

x > 2

y ≥ 2

x + y ≤ 8

Step-by-step explanation:

Here, we want to write a system of equations according to the given variables

More than means, greater than

since x is the variable we want to use;

x > 2

At least 2 hours means greater than or equal to 2

That is mathematically represented as;

y ≥ 2

At most means less than or equal to

So;

x + y ≤ 8

If the function is translated using the rule (x + 1, y – 2), the resulting function will be g(x) = (x+1)² -2

Translation is a way of changing the position of a figure on an xy plane. Given the parent function

y = x²

If the function is translated using the rule (x + 1, y – 2), the resulting function will be g(x) = (x+1)² -2. The equivalent graph if the function is as shown  below.

Learn more on translation here: https://brainly.com/question/12861087

#SPJ1

Answer:

The numbers would be 80 and 8

Step-by-step explanation:

Hope this helps

Answer:

We have, x - y = 72

    and, x = 10y

so, 10y - y = 72

         y = 8

so, x= 80

Step-by-step explanation:

Answer:

3rd

Step-by-step explanation:

Answer:

Exponential decay, 7% decrease

Step-by-step explanation:

Answer:

the slope 4/5x and the y intercept is -3

Step-by-step explanation:

Answer:

the number 8

Step-by-step explanation:

Answer:

The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.

Step-by-step explanation:

Given that:

Distance traveled by jet against the wind = 2480 miles in 4 hours

Combined speed = [tex]\frac{Distance}{Time}[/tex] = [tex]\frac{2480}{4}[/tex]

Combined speed = 620 miles per hour

Distance traveled with wind = 7040 miles in 8 hours

Combined speed = [tex]\frac{7040}{8}[/tex]

Combined speed = 880

Let,

Speed of jet = x

Speed of wind = y

When jet travels against the wind, the speed will be subtracted

x-y=620      Eqn 1

When jet travels with the wind, the speed will be added

x+y=880     Eqn 2

Adding Eqn 1 and 2

(x-y)+(x+y)=620+880

x-y+x+y=1500

2x=1500

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{1500}{2}\\x=750[/tex]

Putting x=750 in Eqn 2

750+y=880

y=880-750

y=130

Hence,

The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.

Answer:

Rhombu is the answer

Answeris rhombus

Answer: 100

Step-by-step explanation:

It is an alternate interior angle.

Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

Answer:

hiiii

the question isn't seen clearly

Answer: D

Step-by-step explanation: a reflection across the line x=-1

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

21x3=63

Answer:

15/24

Step-by-step explanation:

hope this helps u.

Answer:

15/24

Step-by-step explanation:

Answer:

b (5x+4y=32) is the correct answer

Step-by-step explanation:

if it is parallel then the slop has to be the same which means you can eliminate choices a and c. then, you can plug in the points they give you to see if the statement holds true.

5x+4x

5(12)+4(-7)

60-28

32

therefore, option b is correct

Answer:

5.6 * 10^ 10

Step-by-step explanation:

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Answer:

8

4+8+2x+12=10*4

24+2x=40

2x=16

x=8

Answer:

answer is A

Step-by-step explanation:

8/3 =   2.66666 (about 3) miles an hour

You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him

Hope this helps! :))

The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.

Have a Merry Christmas!

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches

Answer:

TRUE I REALLY HOPE THIS HELPS YOU OUT

Step-by-step explanation: