Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.
Answer:
25
Step-by-step explanation:
take the square root of 24^2+7^2
Answer:
Explore - ??? (What are you suppose to put for that (Add comment))
Plan - First week - 53 Second week - 62
Solve - 53 + 62 = 115
Examine - (Use a graph to see the rise?)
Step-by-step explanation:
The expected value of the game is $8.75.
----------------------
- The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The probability of spinning a 2 and a vowel is:
. - Thus,
probability of getting $50.
- The probability of spinning 2 and a consonant is:
- Thus,
probability of getting $25.
- The probability of spinning 1 and a vowel is:
. - Thus, probability of getting $5.
- 32 - (6 + 6 + 2) = 18, thus,
probability of earning $0.
The expected value is:
The expected value of this game is of $8.75.
A similar problem is given at brainly.com/question/24961584
The fraction computed shows that the cups of sugar that can be used based on the flour will be B. 4 1/2 cups.
<h3>How to calculate the fraction?</h3>
From the information, Jonah used 1 1/2 cups of brown sugar and 2 1/3 cups for flour.
Therefore, the cups of sugar needed will be:
= 1.5/2.33 × 7
= 4.5 = 4 1/2.
Learn more about fractions on:
brainly.com/question/78672
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