Bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice 9x8=72
72/4 kids is 18 lunches
The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.
<h3>Correct Response;</h3>
The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>
<h3 /><h3>Method by which the above value is obtained;</h3>
The possible diagram in the question is attached
Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.
ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.
By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;
tan(∠CDE) = tan(∠BAE)
Therefore;
Which gives;
16 × (20 - x) = 25·x
320 = 41·x
x = 320 ÷ 41 ≈ 7.8
The point on the wall she should aim if she's standing at point <em>A</em> is therefore;
- <u>A, 7.8 feet away from point </u><u><em>B</em></u>
Learn more about trigonometric ratios here:
brainly.com/question/4326804
First, we find the equation of the line...
(1,3),(-3,7)
slope = (7 - 3) / (-3 - 1) = 4/-4 = -1
y = mx + b
slope(m) = -1
use either of ur points.... (1,3)...x = 1 and y = 3
now sub into the formula and find b, the y int
3 = -1(1) + b
3 = -1 + b
3 + 1 = b
4 = b
so the equation for this line is : y = -1x + 4 which is usually written as :
y = -x + 4
Now...to find where the line crosses the x axis (or the x intercept)...we sub in 0 for y and solve for x
y = -x + 4
0 = -x + 4
x = 4... so ur x intercept (where the line crosses the x axis) is : (4,0)
The area for a trapezoid is A=1/2(b*1+b*2)h
Your base is your two parallel sides, and your parallel sides in this case is 5cm and 11cm, so that means your bases are 5&11. Your height is 4.
A=1/2(5+11)4
In order to do this you need to do the distributive property first.
1/2 x 5 = 2 1/2
1/2 x 11 = 5 1/2
Then next you need to do:
2 1/2 + 5 1/2 = 8
The last step is to do:
8 x 4 = 32
SO THE ANSWER IS 32.
Answer:
1,789.62
Step-by-step explanation:
It can be solved two ways:
1. divide the annual salary (46,530) by the number of weeks in a year (52) then multiply by 2 for bi-weekly.
46530/52 = 894.81 x 2 = 1,789.62
2. divide the annual salary (46,530) by the number of bi-weekly pay periods (26)
46520/26 = 1,789.62
