Answer:
1.) 9.9
2.) 15.6
Step-by-step explanation:
1.) Consider triangle AEH
AEH is a right angle triangle as ∠AEH = 90°
AH is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ EH≈9.9
2.) Consider triangle CDF
CDF is a right angle triangle as ∠CDF = 90°
CF is the hypotenuse of the triangle.
Applying Pythagorean theorem
substituting values as given in the question:
∴ DF≈15.6
Answer:
n = - 4
Step-by-step explanation:
n + 8 = 4
n = 4 - 8
n = - 4
Rual because negatives move backwards so the higher the number the smaller it is
Answer:
There would be 63 grams of protein in 9 ounces of tuna.
Step-by-step explanation:
Equivalent ratios compare two different quantities the have the same rate regardless of the amount. In this example, for every 3 ounces of tuna, there are 21 grams of protein. We can write this as a ratio of: 3/21. Like fractions, we can simplify ratios by dividing the numerator and denominator by the same greatest common factor. In this case, we would divide both the numerator and denominator by 3: (3÷3)/(21÷3) = 1/7. So, our new ratio is for every ounce of tuna, we have 7 grams of protein. Using equivalent ratios, we can set up our ratios to solve for the grams of protein in 9 ounces of tuna: 1/7 = 9/x. Since we have to multiply both the numerator and denominator by the same factor, in this case 9, then our x = 63 grams of protein.
(6x² - 3x - 7)(2x + 5)
12x³ + 30x² - 6x² - 15x - 14x - 35
12x³ + 24x² - 29x - 35
