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Setler [38]
4 years ago
5

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

the shadow across the ground?
Mathematics
1 answer:
zhannawk [14.2K]4 years ago
7 0
Rounds to about 58 use the 30 60 90 formula
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Hayley so 20 tickets to the school play for total of $225. Early bird tickets were $10 regular priced tickets are $15. Wright an
alexandr402 [8]

System of Equations

For the problem to solve we'll use the following variables:

x = number of the early bird tickets sold

y = number of the regular tickets sold

Haley sold a total of 20 tickets, thus:

x + y = 20 [1]

Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:

10x + 15y = 225

Dividing by 5:

2x + 3y = 45 [2]

We have to solve the system of equations [1] and [2].

Multiply [1] by -2:

-2x - 2y = -40 [3]

Add [3] to [2]:

-2x - 2y +2x + 3y = -40 + 45

Simplifying:

y = 5

Substituting in [1]:

x + 5 = 20

Subtracting 5:

x = 20 - 5

x = 15

Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets

The order pair solution is (15,5)

5 0
2 years ago
Samuel purchased 2 1/2lb of nuts for $10.50.
aalyn [17]

Answer:

22.05

Step-by-step explanation:

21/2 has 5 halves

10.5 divided by 5= 2.1

2.1= 1/2 2.1 x 10 = 21

2.1 / 2 = 1.05

21 + 1.05= 22.05

6 0
3 years ago
Read 2 more answers
Which number is represented by "C" on the number line? A) 5 B) 6 C) 7 D) 8
Misha Larkins [42]
Addition information need it like the picture
8 0
3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (1-9)(x).
Studentka2010 [4]

Answer:

(f-g)(x)=2x-3

Step-by-step explanation:

<em>The correct question is</em>

If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)

we know that

(f-g)(x) is equal to subtract the function g(x) from the function f(x)

so

(f-g)(x)=f(x)-g(x)

substitute the given functions

(f-g)(x)=(3x-1)-(x+2)

Remove the parenthesis

(f-g)(x)=3x-1-x-2)

Combine like terms

(f-g)(x)=2x-3

5 0
4 years ago
Gabriela 30 in of ribbon to make bows each bow uses 5 in of ribbon how many ribbons dose Gabriela make
Shalnov [3]

Answer:

Gabriela Can Make 6 Bows.

Step-by-step explanation:

30 ÷ 5 = 6

So Gabriela Has Enough Ribbon To Make 6 Bows.

3 0
3 years ago
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