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3 years ago

The scale factor of a model plane to the actual plane is 1 to 25.

Mathematics

1 answer:

yan [13]3 years ago

8 0

Step-by-step explanation:

Length on model : Length on actual = 1 : 25

=> Area on model : Area on actual

= 1² : 25² = 1 : 625.

Therefore area on model = 300ft² * (1/625) = 0.48ft².

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Waht is the value of ((2/3)^0)^-3

mestny [16]

Answer:

$\left(\left(\frac{2}{3}\right)^0\right)^{-3}=1$

Step-by-step explanation:

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(\left(\frac{2}{3}\right)^0\right)^{-3}=\left(\frac{2}{3}\right)^{0\cdot \left(-3\right)}\\=\left(\frac{2}{3}\right)^0\\=1$

Red

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3 years ago

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

Two hundred eighty two people attended a recent performance of Cinderella. Adult tickets sold for $5 and children’s tickets for

jasenka [17]

The correct answer is
100 adults
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4 years ago

If EG = 2u + 9 and EI = 5u - 48, find EI in parallelogram FGHI.

zalisa [80]

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect in their middle point, so :

2u + 9 = 5u - 48

3u = 57

u = 19

EI = 5* 19 - 48 = 47

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3 years ago

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3 years ago