a) To find the missing side length on triangle A, we can use the Pythagorean theorem.
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5 cm
5 and 12 = 5 and 12
b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.
Hope this helps!! :)
Answer:
Adult tickets =125
Child tickets = 128
Step-by-step explanation:
Let the number of adult and children tickets sold be x and y respectively
So that
x+y= 253--------1
Since total sales/receipt is $2,771
And given that tickets for a dance recital cost $15 for adults and $7 for children hence
15x+7y= 2771-------2
Solving equation 1 and 2 simultaneously we have
x+y= 253---------------1
15x+7y= 2771----------2
Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3
15x+15y=3795---------3
-{15x+7y= 2771----------2
0+8y=1024
8y= 1024
y= 1024/8
y= 128 tickets
So solve for x let us put y= 128 in equation 1
x+ 128=253
x=253-128
x= 125 tickets
Answer:
Hence the ground distance is about 889m between stadium and Tennis court.
Step-by-step explanation:
Given:
A pilot at height of 125 m(flying the advertising blimp)
angle of depression=8 degrees.
To find :
The ground distance stadium and tennis court.
Solution :
Using Trigonometric Function we can solve it ,
(Refer the attachment for fig)
Considering above data we get a triangle(ABC)
with point A represent pilot position and C court position and B as stadium.
The height AB=125 m
angle of depression= 8 degrees.
Using
<em>tan∅ =AB/BC</em>
tan(8)=125/BC
BC=125/tan(8)
=125/0.14054
=889.2
=889 m
Hence the ground distance is about 889m between stadium and Tennis court.
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
