Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y
To find the value of ∠Y we use tan
We have
We have the final answer as
<h3>51.34°</h3>
Hope this helps you
Answer:
- P(x < 84) = 0.3085 or approximately 31%
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<em>Hello to you from Brainly team!</em>
<h3>Given</h3>
- Mean grade μ = 86,
- Standard deviation σ = 4,
- Grade limit x = 84.
<h3>To find </h3>
- Probability of that a randomly selected grade is less than 84 or P(x < 84).
<h3>Solution</h3>
Find z-score using relevant equation:
Substitute values and calculate:
Using the z-score table find the corresponding P- value.
- P(x < 84) = 0.30854 or approximately 31%
Answer:
32 goldfish
Step-by-step explanation:
Given:
- Number of fish tanks = 8
- Volume of water per fish tank = 5,544 in³
- Water required by 1 goldfish = min 1,386 in³
Number of fish per tank = water per tank ÷ water per goldfish
= 5544 ÷ 1386
= 4
Therefore, each tank can hold a maximum of 4 goldfish.
Greatest number of goldfish = number of tanks × fish per tank
= 8 × 4
= 32
Given:
15% of its height each day
27 inches on day 10.
How tall was it yesterday?
27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.
27 ÷ 115% = 23.48 inches.
The plant was 23.48 inches tall yesterday.
To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches
Answer:
x = 3
y = 8
Step-by-step explanation:
In the given triangle FGH,
m∠F + m∠G + m∠H = 180° [Triangle sum theorem]
60° + 90° + m∠H = 180°
m∠H = 30°
If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.
m∠F = m∠T
7y + 4 = 60°
7y = 56
y = 8
GH ≅ UV
8x - 12 = 12
8x = 24
x = 3
