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3 years ago

7

The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (us

e the variable ???? for the width).

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

let x and y be length and width of rectangle.

Perimeter=2(x+y)

area=xy

2(x+y)=1/2 xy

4(x+y)=xy

4x+4y=xy

x y-4y=4 x

y(x-4)=4 x

$y=\frac{4x}{x-4}$

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Craign has a building block in the shape of a rectangular pyramid .A net of which is shown below.If a measures 12 cm b measures

svetoff [14.1K]

Answer:

<h3>Option D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b = 6 cm and d = 13 cm

<h3>To find the surface area of the rectangular pyramid:</h3>

Now find the area of the rectangle base

$Rectangle base area=b\times a$

$= 6\times 12$

= 72 sq. cm

<h3>∴ Rectangle base area=72 sq cm</h3>

Now to find the area of the triangle on the left

$Left triangle=\frac{1}{2}(b)(d)$

$=\frac{1}{2}(6)(13)$

= 39 sq cm

<h3>∴ Left triangle=39 sq cm</h3>

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

<h3>∴ Area of left and right triangles=78 sq cm</h3>

Find the area of the triangle on the bottom

$Bottom triangle area=\frac{1}{2}(a)(a)$

$=\frac{1}{2}(12)(12)$

= 72 sq cm

<h3>∴ Bottom triangle area=72 sq cm</h3>

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>

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3 years ago

Find the geometric means in the following sequence. –14, ? , ? , ? , ? , –235,298

timama [110]

The answer should be something like 12, 33, 56, 66, 77

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3 years ago

A game at the school carnival involves drawing colored marbles out of a bag for a prize. If you draw a red or blue marble, you w

mina [271]

All up there are 20 marbles and only 6 of those are chances of winning so we make it into a fraction 6/20 then times 20 by five to get to 100 (what ever we do to the bottom we do to the top) times 6 by five giving you a fraction of 30/100 then divide 30 by 100 giving you 0.30 ANSWER EQUALS = 0.30

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3 years ago

Solve the equation I will give brainly

Alika [10]

Answer:

answer: All real numbers, or No solutions

Step-by-step explanation:

okay, the equation says 4(x+4)=(4x+16)

if we apply 4 to the parenthesis we get 4*(x+4)=4x+16

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5 0

3 years ago

Read 2 more answers

Find the surface area of the composite figure

Gnoma [55]

Answer:

$=280$ $in^2$

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

$2*10=20+20=40$

$4*10=40+40=80$

$4*2=8+8=16$

$40+80+16=136$

The surface area for the pink rectangular prism is $136$ $in^2$ .

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

$4*7=28+28=56$

$4*7=28+28=56$

$4*4=16+16=32$

$56+56+32=144$

The surface area for the green rectangular prism is 144 $in^2$ .

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

$136+144=$

$=280$ $in^2$

----------------------------------------

Hope this is helpful.

6 0

3 years ago

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