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2 years ago

Find m angle f to the nearest degree

Mathematics

1 answer:

dimaraw [331]2 years ago

8 0

Answer:

∠F ≈ 53°

General Formulas and Concepts:

Trigonometry

sin∅ = opposite over hypotenuse
sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

Step 1: Define

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

Step 2: Find m∠F

Substitute: sin∠F = 8/10
Simplify: sin∠F = 4/5
Take sin inverse: ∠F = sin⁻¹(4/5)
Evaluate: ∠F = 53.1301°
Round: ∠F ≈ 53°

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Answer:

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Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

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$P(x)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

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Hence, the probability that fewer than 3 weigh more than 20 pounds,

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2 years ago

if you have four rolls of quarters three rolls of Dimes and six rolls of nickels how much do you have

xz_007 [3.2K]

We know that
the number of coins that each roll contains is
rolls of quarters-------> 40 coins
rolls of Dimes---------> 50 coins
rolls of nickels------> 40 coins

four rolls of quarters------> 4*40*$0.25-----> $40
three rolls of Dimes-----> 3*50*$0.10------> $15
six rolls of nickels-------> 6*40*$0.05-----> $12

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the answer is
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2 years ago

make mathematical expression and simplify. The sum of 4 and 5 is subtracted form one-third of the difference of 40 and 4.

Ne4ueva [31]

Answer:

X= -3

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(4+5)-1/3(40-4)=X

X=9- 1/3(36)

X=9-12

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1 year ago