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3 years ago

Please help!

Mathematics

2 answers:

poizon [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Hatshy [7]3 years ago

3 0

Answer:

OPTION D

DECREASING BY 10%...

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Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long. She wants t ok leave a uniform strip of floor aroun

Lostsunrise [7]

Answer:

Dimension of rug is $(15\times 18)\ ft$

Step-by-step explanation:

Given: Area of rug= 270 ft²

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long.

Let´s assume the uniform strip size of floor around rug be "x".

As given, Cynthia wants to leave a uniform strip of floor around the rug.

∴ Rug dimension will be $(23-2x)\times (26-2x)$

We know, area of rectangle= $width\times length$

Forming an equation for area of rug.

⇒ $270= (23-2x)\times (26-2x)$

Now solving the equation to find the dimension of rug.

$270= (23-2x)\times (26-2x)$

Using distributive property of multiplication.

⇒ $270= 598-46x-52x+4x^{2}$

⇒ $598-98x+4x^{2}= 270$

Subtracting both side by 270

⇒ $4x^{2}-98x+328= 0$

using quadratic formula to solve the equation.

⇒ Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

∴ In the expression , we have a= 4, b= -98 and c= 328.

Now, subtituting the value in the formula.

= $\frac{-(-98)\pm \sqrt{-98^{2}-4(4\times 328) } }{2\times 4}$

= $\frac{98\pm \sqrt{9604-4(1312) } }{8}$

Opening parenthesis.

= $\frac{98\pm \sqrt{9604-5248 } }{8}$

= \frac{98\pm \sqrt{4356}}{8}

We know 66²=4356 and √a²=a or -a

= $\frac{98\pm 66}{8}$

= $\frac{98+66}{8}\ or \ \frac{98-66}{8}$

= $20.5 \ or\ 4$

∴ Value of x will be either 20.5 ft or 4 ft

Ignoring decimal value, therefore taking value of x is 4 ft

Subtituting the value of x to find the dimension of rug.

Width of rug= $(23-2x)$

⇒ Width of rug= $23- 2\times 4$

⇒ Width of rug= $23-8= 15\ ft$

Next, Length of rug= $(26-2x)$

⇒ Length of rug= $(26-2\times 4)$

⇒ Length of rug= $26-8= 18\ ft$

Hence, dimension of rug is $(15\times 18)\ ft$

6 0

3 years ago

Is the graph of g(x) =x2 - 1

IRISSAK [1]

Cancel the 2 to get x then x-1 divided by x

3 0

3 years ago

You are standing on the second floor balcony looking down at a car 50 feet away. Your line of sight is 15 feet above the ground.

fgiga [73]

Answer:

16.7°

Step-by-step explanation:

Let the angle is x

Imagine the right triangle with the angle x, with side opposite to angle x 15 ft and the adjacent side is 50 ft.

<u>Use trigonometry:</u>

tangent = opposite / adjacent
tan x = 15/50
tan x = 0.3
x = arctan 0.3
x = 16.7° (rounded)

4 0

3 years ago

Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x =

kompoz [17]

Step-by-step explanation:

x = 2 is, as you can see, parallel to the y-axis.

perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.

that means y is constant. all points on that line will have the same y value.

and we know one point already : (3, -2)

so all points of the perpendicular line will have y = -2

and that is the equation of the perpendicular line :

y = -2

3 0

3 years ago

Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 lb and several 1

Pie

I believe it would be 83 snack packs.
25-4=21 x 4= 84 however it has to be under 25 so then take one snack pack away for the total weight to be 24.75 lbs.

1/4lbs x 4= 1 lbs

6 0

3 years ago