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3 years ago

Simplify each ratio. 1) 40:15

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer:

8:3

Step-by-step explanation:

,,,,lol hope it helps i don't know how to explain,,, I guess its just dividing you know like 15÷5= 3 so on

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michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ

bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric Total Cost

2.2 $2.53

3.6 $4.14

4.2 $4.83

What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

$\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}$

$\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Let us find cost per yard using 2nd set of data.

$\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Similarly we will find cost per yard for 3rd set of data.

$\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Therefore, the cost per yard of fabric is $1.15.

4 0

3 years ago

If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?

svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0

2 years ago

If the third term in a geometric sequence is 20, and the fifth term in the sequence is 5, what is the ratio (multiplier)?

Talja [164]

Term:    3    4      5
Value 20    ..      5
          20 20r 20r^2
So 20r^2 = 5
         r^2 = 1/4
           r = 1/2

5 0

3 years ago

I don't know how to answer this | <br><br><br> 6y-29=35

trapecia [35]

Answer:

Step-by-step explanation:

8 0

2 years ago

Mias dog weighs 32.6 pounds. Letties dog weighs 3.8 times as much as Mias you. What does Letties dog weigh in pounds?

Whitepunk [10]

Hello!

We are given the weight of Mia's dog and told to find the weight of Lettie's dog based on the known relationship. Using these given values, we can create the following equation (let "w" represent the total weight of Lettie's dog):

w = 32.6(3.8)

Simplify the right side of the equation:

w = 123.88

We have now proven that Lettie's dog weighs 123.88 lbs.

I hope this helps!

6 0

3 years ago

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