Answer:
75.52
Step-by-step explanation:
All you have to do is second cos, or cos^-1(2/8), because of sohcahtoa, adjacent hypotenuse, so it is cos.
The rate of change between 1990 and 1999 is 15.22
Step-by-step explanation:
The rate of change in this case is given by change in quantity divided by change in time
So,

Hence,
The rate of change between 1990 and 1999 is 15.22
Keywords: Rate of change, median
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Answer:
$25.10
Step-by-step explanation:
lunch=$7.52
dinner=$9.74
breakfast=$5.16
money left=$2.68
make total money he began with ‘x’
to find the total money he began with it will be
x-lunch+dinner+breakfast=money left
x-$7.52+$9.74+$5.16=$2.68
x-$22.42=$2.68
x=$2.68+$22.42
x=$25.10
Explanation:
<u>Statement 2</u>:
Angle J is congruent to itself
<u>Reason 2</u>:
Reflexive property of congruence
__
<u>Statement 3</u>:
ΔHIJ ~ ΔGHJ
<u>Reason 3</u>:
SAS similarity theorem
_____
The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.
The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.
So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.
Answer:
It takes 5 days to process an application.
Step-by-step explanation:
We have that number of requests per month would be equal 1600
Now, the applications in hand would be:
160 + 240 = 400
They tell us that everything must be in a number of 20 business days, therefore, the number of applications in one day would be:
1600/20 = 80
Which means that the time needed to finish an application is:
400/80 = 5 days
It takes 5 days to process an application.