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masha68 [24]
3 years ago
15

a coffee shop served 24 people before 7:00am. Two-thirds had decaf, and the remaining ordered a specialty coffee. How many custo

mers ordered a specialty coffee?
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0
There were 8 customers who ordered specialty coffee. (24/1 x 1/3 = 8)
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
Also this question tooo pleease, PS: what topic is this <br> Solve for x.
MrRissso [65]

This falls under geometry. The two labeled angles are congruent, which means the line segment between them (AD in the image) is a bisector of the angle at vertex A. Use the angle bisector theorem, which says that

\dfrac{BD}{DC}=\dfrac{AB}{AC}\iff\dfrac{12}{(5+9x)-12}=\dfrac{15}{25}

\dfrac{12}{9x-7}=\dfrac35

20=9x-7

x=3

8 0
3 years ago
Solve.... 4n- 9= 2 (5+ 2n)
timama [110]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4n-9=2(5+2n)  Equation/Question

Step 2

4n-9=2(5+2n)  Remove parenthesis

4n-9=4n+10

Step 3

4n-9=4n+10  Subtract 4n to sides

-9=10

Step 4

-9=10  Add 9

0=19

Answer

No solutions

Hope this helps

3 0
3 years ago
How well does the idea of the melting pot reflect U.S. immigration around 1900?
Minchanka [31]

Answer:

The melting pot theory of ethnic relations, which sees American identity as centered upon the acculturation or assimilation and the intermarriage of white immigrant groups, has been analyzed by the emerging academic field of whiteness studies. This discipline examines the "social construction of whiteness" and highlights the changing ways in which whiteness has been normative to American national identity from the 17th to the 20th century.

Step-by-step explanation:


7 0
3 years ago
Ian has 120 folders to file. So far, he has filed 36 of the folders. What percent of the folders does he have left to file?
balandron [24]
120-36 = 84 <==== what he has left

84/120×100% = percentage of what he has left
70% = percentage aka answer.
8 0
3 years ago
Read 2 more answers
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