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3 years ago

14

A model airplane is 20 inches long and 4 inches wide. If the actual width of the airplane is 20 feet what is the lenght of the a

ctual airplane?

1 answer:

Kay [80]3 years ago

7 0

The airplane is 100 feet long because 5*4=20 so
that would mean that 20*5=100

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Someone quickly help! thanks!

Goryan [66]

Answer:

x=23°; θ=87°

Step-by-step explanation:

These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

$93+(3x+18)=180$

Now, using algebra, we can solve for x:

$111+3x=180$

$3x=69$

$x=23$

Plugging x back into the equation, we get:

$3(23)+18=87$

Therefore, the total angle is equal to 87° and x is equal to 23°.

Hope this helps!

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3 years ago

What is the expanded form of the number 34.576?

Alik [6]

Answer:

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

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1 year ago

Read 2 more answers

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

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3 years ago

Which fraction is equivalent to 1/2? Use the number line to help answer the question

myrzilka [38]

Answer:

4/8

Step-by-step explanation:

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2 years ago

Raymond uses the Venmo

Arisa [49]

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

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3 years ago