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Lilit [14]
3 years ago
10

A 4 ft by 8ft rectangle has a perimeter of _ft and an area of _ ft/2

Mathematics
1 answer:
Setler [38]3 years ago
3 0
Perimeter = (4*2) + (8*2) = 8 + 16 = 24 ft
Area = 4 * 8 = 32 ft^2
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The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0
3 years ago
On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

8 0
3 years ago
Read 2 more answers
Ach equation:<br> - 5(– 2x - 4) + 5x - 4 =- 29
Zinaida [17]

- Multiply (-2x-4) by -5:

[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29

= 10x+20+5x-4=-29

- Combine Like Terms:

(10x+5x) + (20-4) = -29

15x+16=-29

- Subtract 16 from each side

15x+16 -16 = -29 -16

15x = -45

x = -3

3 0
3 years ago
sally can paint a room in 7 hours while it taks steve 9hours to finsh the same room. how ling will it take them to paint if they
Nata [24]
How much part can sally paint in an hour ?
a ÷ 7 = a/7

And what about Steve ?
a ÷ 9 = a/9

Where, a is the total area of the room.

So, let the time taken by both of them to paint the room together be 't'

So,
t(a/7 + a/9) = a
t(9a/63 + 7a/63) = a
t(16a/63) = a
t = 63/16 ≈ 4 hr
6 0
3 years ago
Read 2 more answers
Convert 0.0000001 to the power of 10
Hoochie [10]
I believe it is 10 to the power of negative 7
5 0
3 years ago
Read 2 more answers
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