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3 years ago

Simplify 0.7(3.6x10^-2)

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

0.7 x 3.6 x 10⁻² = 2.52 x 10⁻² = 2.52 / 100 = 0.0252

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The triangles are similar

hoa [83]

Answer:

Part 1) $x=16\ units$

Part 2) $x=23\ units$

Part 3) $AE=20\ units$

Part 4) $x= 6.25\ units$

Part 5) $x=26.67\ in$

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

$2.5x+7.5=2x+10$

$2.5x-2x=10-7.5$

$0.5x=2.5$

$x=5\ units$

$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

3 0

3 years ago

Read 2 more answers

Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!

Anni [7]

Answer:

The volume of the composite figure is:

312 ft^3

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

Volume of a cube = base * height * width

So:

Volume of a cube = 6 ft * 6 ft * 6 ft
Volume of a cube = 216 ft^3

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Volume of a pyramid = 1/3 B * h

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Volume of a pyramid = 1/3 36 ft^2 * 8 ft
Volume of a pyramid = 96 ft^3

Finally, we add the volumes found:

Volume of the composite figure = 216 ft^3 + 96 ft^3
Volume of the composite figure = 312 ft^3

5 0

2 years ago

How do you find the area of a parallelogram

yKpoI14uk [10]

A=B H

area equals the base times the height

4 0

3 years ago

Y=5-1/2x x=-2,0,2,4

telo118 [61]

Answer:

y=6,5,4,3 are value for y

6 0

3 years ago

A hyena can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in mi

morpeh [17]

40 miles an hour
60 [minutes] * 60 [seconds]= 3600
22.5[seconds for 1/4 of a mile]* 4[ one mile]= 90 [seconds per mile]
3600/90=40 [miles an hour]

4 0

3 years ago

Read 2 more answers