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2 years ago

<1 and <4 in this picture are what type of angles

Mathematics

2 answers:

Whitepunk [10]2 years ago

8 0

I hope this helps you

Elis [28]2 years ago

3 0

They are supplementary angles. Aka equal to 180 degrees.

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Combine and Simplify:<br> 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3<br> WRITE 2 WAYS!

Bezzdna [24]

Answer:

Combining and simplifying $48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$ we get $\mathbf{-4x-34y-32}$ or we can write as $\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}$

Step-by-step explanation:

We need to combine and simplify

$48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

<u>Like terms</u>: terms having same variable

$48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})$

Now we take LCM of like terms

$=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})$

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

$=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32$

So, Combining and simplifying $48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$ we get $\mathbf{-4x-34y-32}$ or we can write as $\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}$

6 0

2 years ago

the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension

Readme [11.4K]

Let breadth be x

Length=x+4

We know

$\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}$

$\\ \sf\longmapsto x(x+4)=22$

$\\ \sf\longmapsto x^2+4x=22$

$\\ \sf\longmapsto x^2+4x-22=0$

By solving

$\\ \sf\longmapsto x=-2\pm\sqrt{26}$

It doesnot have any real roots

7 0

2 years ago

Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)

Sladkaya [172]

Answer:

19 m

Step-by-step explanation:

Perimeter = 2(length + width) ; P = 2(l+w) - - (1)

Area = Length * width ; A = l*w - - - (2)

76 = 2(l+w)

76/2 = l+w

l+w = 38

l = 38 - w

Put l = 38 - w in (1)

A = (38-w)*w

A = 38w - w²

At maximum point:

dA/dw = 0

dA/dw = 38 - 2w

38 - 2w = 0

38 = 2w

w = 38/2

w = 19

5 0

2 years ago

Samuel makes a dozen of mini cupcakes using 5/8 cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcak

baherus [9]

I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups

I think it's 5/96 or .05208333

So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.

8 0

2 years ago

CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!

IceJOKER [234]

Answer:0

Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0

7 0

1 year ago