The answer is K= 25
Simplify the equation using cross multiplication
200 = 8k
Swap the sides of the equation 8k = 200
8k = 200
Divide both sides of the equation by 8
Answer= k = 25
Answer:
$7500
Step-by-step explanation:
I=PRT
=5,000×0.15×10
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards
Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².
<h3>How to calculate the area of a triangle?</h3>
Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
<u>Where:</u>
- b represents the base area.
By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:
Distance = 1/2 × 36.77
Distance = 36.77/2
Distance = 18.39 ft.
For the height of this triangle, we would apply Pythagorean's theorem:
h² = 25.02² - 18.39²
h² = 626.0004 - 338.1921
h² = 287.8083
h = √287.8083
h = 16.97 ft.
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 36.77 × 16.97
Area of triangle = 311.99 ft².
For area of the rectangle, we have:
Mathematically, the area of a rectangle can be calculated by using this formula;
Area = LW
Area = 36.77 × 31.11
Area = 1143.92 ft².
Read more on area of a rectangle here: brainly.com/question/25292087
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