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3 years ago

Correct answers only please!

Mathematics

1 answer:

Marta_Voda [28]3 years ago

3 0

Answer:

30%

Step-by-step explanation:

In hundreds, the total of gas money was ...

9 + 3 + 9 + 3 + 6 = 30

Of that, 9 came from Arjun. That fraction is ...

9/30 = 3/10 = 30/100 = 30%

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You have two rectangular prisms (Prism A and Prism B). Prism A has the following dimensions: length x, width y, and height z. Pr

noname [10]

Answer:

Part A) The surface area of prism B is equal to the surface area of prism A multiplied by the scale factor (m) squared

Part B) The Volume of prism B is equal to the Volume of prism A multiplied by the scale factor (m) elevated to the cube

Step-by-step explanation:

Part A) we know that

The scale factor is equal to m

The surface area of the prism is equal to

$S=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

we have

Prism A

$B=xy\ units^{2}$

$P=2(x+y)\ units$

$h=z\ units$

substitute

$SA=[2(xy)+2(x+y)z]\ units^{2}$

Prism B

$B=(mx)(my)=(xy)m^{2}\ units^{2}$

$P=2(mx+my)=2m(x+y)\ units$

$h=mz\ units$

substitute

$SB=[2(xym^{2})+2m(x+y)mz]\ units^{2}$

$SB=[2(xym^{2})+2m^{2}(x+y)z]\ units^{2}$

$SB=m^{2}[2(xy)+2(x+y)z]\ units^{2}$

therefore

The surface area of prism B is equal to the surface area of prism A multiplied by the scale factor (m) squared

Part B) we know that

The volume of the prism is equal to

$V=Bh$

where

B is the area of the base

h is the height of the prism

we have

Prism A

$B=xy\ units^{2}$

$h=z\ units$

substitute

$VA=[(xyz]\ units^{3}$

Prism B

$B=(mx)(my)=(xy)m^{2}\ units^{2}$

$h=mz\ units$

substitute

$VB=[(xym^{2})mz]\ units^{3}$

$VB=[(xyzm^{3})]\ units^{3}$

therefore

The Volume of prism B is equal to the Volume of prism A multiplied by the scale factor (m) elevated to the cube

3 0

3 years ago

Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION

Vlada [557]

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in our coordinates into the distance formula:

$d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}$

$d = \sqrt{(2)^2+(-2)^2}$

$d = \sqrt{4+4}$

$d = \sqrt{8}$

To find the decimal, simply evaluate the square root:

√8 = 2.82843

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3 years ago

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Which ordered pair could replace the missing value and create a

Usimov [2.4K]

Answer:

Step-by-step explanation:

The same x value cannot be used more than once or it isn't a function.

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3 years ago

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The length of a rectangle is 5 more than the width. Find the length and width of a rectangle if the area of the rectangle is 36

harkovskaia [24]

Answer:

width = 4 in

length = 9 in

Step-by-step explanation:

To solve this problem, write an expression for the length and use the area of a rectangle formula.

The formula for area of a triangle is A = lw

"A" is the area.

"l" is the length.

"w" is the width.

"The length of a rectangle is 5 more than the width". It is represented in an expression:

l = w + 5 The width plus 5 is the length.

We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

A = lw

36 = (w + 5)w Expand by multiplying w by the terms in the brackets.

36 = w² + 5w Since the equation is quadratic, make it equate to 0.

36 - 36 = w² + 5w - 36 Subtract 36 from both sides

0 = w² + 5w - 36 Factor this. Use group factoring, which is when you replace the middle term (5w) with two terms that add to make 5w, and multiply to get the last term (-36).

0 = w² + 9w - 4w - 36 9w times -4w is -36. They also add to get 5w.

0 = (w² + 9w) + (-4w - 36) Group the factors

0 = w(w + 9) + -4(w + 9) Take out the common factor in each group.

0 = w(w + 9) + -4(w + 9) Take out the new common factor binomial w+9

0 = (w + 9) (w - 4) Fully factored equation.

w + 9 = 0 w - 4 = 0 Set each binomial to equal 0.

w = -9 w = 4 Chose what makes sense to be the width.

The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

l = w + 5

l = 4 + 5

l = 9 Length of the rectangle

Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

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3 years ago

Free.... f..... r.... e.... e... FREE POINTS! (and brainliest ofc) 50 + 50 means..... 100!!! (pops up as 50 for you guys, sorry!

Marysya12 [62]

Answer:

you're a g love you so much bro

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3 years ago

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