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expeople1 [14]
3 years ago
8

How tall would the building be

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

18

Step-by-step explanation:

1. Create the ratio 12:9

The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.

2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)

3. Add 9 to 9. (18)

We now have 21:18.

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Find a ⋅ b. a = <5, 2>, b = <4, 5>
cestrela7 [59]

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

6 0
3 years ago
Plz help and ignore the equations below
svetlana [45]

Answer:

x = 8.5

Step-by-step explanation:

You have all three angles already, so it's easy: 90°, (4x - 8)°, (6x + 13)°

The sum of all angles is 180°

90 + (4x - 8) + (6x + 13) = 180

10x + 95 = 180

      - 95     -95

10x = 85

x = 8.5

8 0
3 years ago
You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of e
finlep [7]

Answer:

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

Step-by-step explanation:

<u>Complete question:</u>

"You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of each bed.<em>"</em>

<em>Radius of larger flower bed = r</em>

<em>Radius of smaller flower bed = r - 4</em>

<em />

Now,

Area of circle is  \pi r^2

Since, total area is 136\pi, we can write:

\pi r^2 + \pi (r-4)^2=136\pi

Expanding and solving for r:

\pi r^2 + \pi (r-4)^2=136\pi\\r^2+(r-4)^2=136\\r^2 + r^2 - 8r + 16 = 136\\2r^2-8r-120=0\\2(r+6)(r-10)=0\\r=-6,10

Radius cannot be negative, so r = 10  &  r-4 = 10 -4 = 6

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

8 0
3 years ago
You have $60. You want to buy a pair of jeans and a shirt. The pair of jeans cost $27.
Volgvan

Answer:

$18

Step-by-step explanation:

Buying the jeans for $27 leaves you with ($60 - $27), or $33.

Buying the shirt for s dollar leaves you with $15.  To find s, the price of the shirt, you subtract $15 from $33:  $18.

The shirt cost you $18.

8 0
4 years ago
E=300-10 (30)<br> How to solve it step by step
Zepler [3.9K]

Answer:

Step-by-step explanation:

e = 300-10(30)

e = 300 - 300

e = 0

6 0
4 years ago
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