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Jlenok [28]
3 years ago
8

Angelo drew a scale model of the flagpole at school. If the actual pole is 15 feet tall, and his drawing is 10 inches tall, what

scale did he use?
Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer: \frac{2}{3}

Step-by-step explanation:

Given

Angelo drew a model with his drawing length 10 inches tall

The actual pole length is 15 feet tall

drawing scale is the ratio of drawing length to the actual length i.e.

\Rightarrow \text{Scale used l=}\dfrac{10}{15}\\\\\Rightarrow l=\dfrac{2}{3}

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Crazy boy [7]
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Because vertical angles are congruent.
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A family drove a total of 5,300 miles.They drove 10 more miles in tj second half of the trip than the first half. How many did t
AVprozaik [17]

If they drove a total of 5,300 miles in 2 days, and on the second day they drove 10 more miles then the 1st day.

5,300 ÷ 2 = 2,650

they drove 10 miles less on the first day

2,650 - 10 = 2,640

They drove 2,640 miles on the first day.

Hope this helps. :)

7 0
3 years ago
Which of the following is a solution of z^5 = 1 + √3 i?
nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

z^5=1+\sqrt{3} i

We can write this in polar form with modulus and radius

|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\

Hence angle = 60 degrees and

|z^5|= 2(cos60+isin60)

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\

Out of these only 2nd option suits our answer

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8 0
3 years ago
Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe
Alexandra [31]

Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>

а.

Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

<em>x/</em>2-5 pencils.

b. Expression of pencils given to Jamil is: <em>x/</em>2-5

Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total

number of pencils if Jamil received 1 pencil:

<em>x/</em>2 - 5 = 1

Solve for x:

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Evaluate:

<em>x</em> = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

5 0
3 years ago
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hjlf

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

7 0
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