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3 years ago

What is the fraction of this problem

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

7 0

Answer:

7/10

Step by Step Explanation:

there are 10 parts and 7 parts shaded.

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1. whats the midpoint between (7,3) and (-3,-1)

Elanso [62]

Answer:

(2, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then

midpoint = ( $\frac{7-3}{2}$ , $\frac{3-1}{2}$ ) = ( $\frac{4}{2}$ , $\frac{2}{2}$ ) = (2, 1 )

5 0

3 years ago

A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount

kakasveta [241]

$4 is the original price of the jar consisting of peanut butter so therefor it = 100%. It's for sale at $3.60, so we divide $4 by 100% so we get the percentage for each cent and then we times it by 3.60 to get the percentage for $3.60 which is 90%. Now we subtract 90% from 100% to get the discounted percentage for 40cents :)

5 0

3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

A firm produces 16,200 units at a total cost of $37,585.60. Find the cost per unit to the nearest cent.

Julli [10]

There are a total of 16 200 units with a total costs of 37 585.60 dollars. Now, Given with the choices for the answer, let's find out which one is correct. To be able to get the answer, simply divide the total costs, with the total number of units. => 37 585.60 dollars / 16 200 units => 2.3201 dollars per unit.Next, we need to round this cents to the nearest given options.Since the number next to hundredths is less than 5 , the let's round it to : => 2.32. - this is the correct answer.<span>
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3 0

3 years ago

Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards

AlekseyPX

Answer:

13 1/2

Step-by-step explanation:

Just multiply 3.5 and 4.75

AKA

3 1/2 and 4 3/4

Change 1/2 into 2/4 so the denominators are the same

Multiply the numerators 2 and 3, you now have 6/4

3 × 4 = 12

6/4 is improper so, you need to simplify

now you have 1 1/2

Now 12 + 1 1/2 = 13 1/12

5 0

3 years ago