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Olegator [25]
3 years ago
13

An angle equals 5/4 of its supplement is:

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0
5/4 = 1.25
so
x + 1.25x = 180
      2.25x = 180
             x = 80

1.25x = 1.25(80) = 100

answer
angle and its supplement measure: 80 and 100
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An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter
leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

-

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0
4 years ago
Rewrite the equation by completing the square.<br><br>x^2 +11 x +24 = 0
dsp73

Answer:

x^(2)-11x+24=0

Step-by-step explanation:

3 0
3 years ago
Solve the right triangle shown in the figure BC = 1.6in&lt; A=48.8 C =90
yKpoI14uk [10]
Drawing a diagram to represent the information you've given, the only angle we are missing is B.  We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides.  Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine.  We must use tangent (the ratio for tangent is opposite/adjacent):
\tan 41.2 = \frac{x}{1.6}
Multiply both sides by 1.6:
1.6 \tan 41.2 = x&#10;\\ 3.67 = x
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
(1.6)^2+(3.67)^2=c^2&#10;\\ 2.56+13.4689=c^2&#10;\\ 16.0289=c^2&#10;\\ \sqrt{16.0289} = \sqrt{c^2}&#10;\\ 4=c
The length of side AC, the hypotenuse, is 4 inches.
3 0
4 years ago
Read 2 more answers
What is the volume in terms of pi?
Contact [7]
Just do the normal formula but don’t multiply it by pi and then add the pi symbol after.
7 0
3 years ago
(05.07 MC)
sp2606 [1]
Given that the net of the square pyramid is as shown above, the surface are of the pyramid will be given by:
SA=(number of triangles)*(area of triangle)*(area of square base)
area of one triangle will be:
A=1/2*base*height
A=1/2*0.8*0.75
A=0.3 sq. inches

area of the square base will be:
A=0.75*0.75
A=0.5625
Therefore the surface area will be:
SA=4*0.3*0.5625
SA=0.675 sq. inches
5 0
3 years ago
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