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Verizon [17]
3 years ago
15

If i made 9 sandwiches and cut each one into fourths how many fourths would I have?

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
<span>you would have 36 fourths</span>
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
Read 2 more answers
How many students in the marching band are girls
Hoochie [10]

Answer:

Hello,

If 7/10 boys represent 28 boys so, 3/10 girls ? how many girls ?

cross product

7/10 > 28

3/10 > ?

3/10*28/(7/10)=12

There are 12 girls


Step-by-step explanation:


3 0
3 years ago
Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the t
Vinil7 [7]

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

5 0
3 years ago
a truck is rented at 40$ per day plus a charge per mile use. The truck traveled 15 miles in one day, and the total charge was 11
Alla [95]

Answer:

15x + 40 = 115

We set the equation to 115 because the total cost is $115.

We add the "+ 40" because of the $40 to rent the trailer for the day.

The 15x is because it represents the miles per hour (x) times the number of hours.

The number of hours times the charge per mile, plus the $40 to rent it, will equal $115.

Hope this helps!!

5 0
3 years ago
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