Answer:
b
Step-by-step explanation:
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight.
First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:
1.6 / 2 = x / (2 +3)
where x is the height of the flood light
solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
Answer is acute and scalene
This triangle is acute since all angles (51, 79, 70) are all less than 90 degrees. It is a scalene triangle as well since none of the sides (10, 12.1 , 11) are equal to each other.
Here are the other definitions to help you in the future
equilateral- All sides are the same. Right - Has one right angle. Obtuse - Has an angle more than 90 degrees. Isosceles - Only two sides are the same. One is different.
Answer:
The value of y is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the line passes through the origin
therefore
Is a proportional variation
Find the value of k
with the point 

The equation is equal to

so
For 
substitute

Answer:
Step-by-step explanation:
a₆ = a₇+(6-7)d = -4 -(-5) =1