The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)
<h3>Data obtained from the question</h3>
- Length of side AD = 5
- Length of side CD = 20
- Length of side BD =?
<h3>How to determine the length of side BD</h3>
Since the triangles are similar, we can obtain the length of side BD as illustrated below:
CD / BD = BD / AD
20 / BD = BD / 5
Cross multiply
BD × BD = 20 × 5
BD² = 100
Take the square root of both sides
BD = √100
BD = 10
Thus, the length of side BD is 10
Learn more about similar triangles:
brainly.com/question/25882965
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The percentage of young adults send between 128 and 158 text messages per day is; 34%
<h3>How to find the percentage from z-score?</h3>
The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
We are given;
Sample mean; x' = 158
Population mean; μ = 128
standard deviation; σ = 30
We want to find the area under the curve from x = 248 to x = 158.
where x is the number of text messages sent per day.
To find P(158 < x < 248), we will convert the score x = 158 to its corresponding z score as;
z = (x - μ)/σ
z = (158 - 128)/30
z = 30/30
z = 1
This tells us that the score x = 158 is exactly one standard deviation above the mean μ = 128.
From online p-value from z-score calculator, we have;
P-value = 0.34134 = 34%
Approximately 34% of the the population sends between 128 and 158 text messages per day.
Read more about p-value from z-score at; brainly.com/question/25638875
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<h2>
Answer:</h2>
<h2>160 π cm3</h2>
<h2 />
<h2>
Explain:</h2>
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Answer:
A. The weight of the objects inside the box
Step-by-step explanation:
The energy required to lift a box is a function of the weight of it and of the distance it is lifted.
_____
In physics terms, the energy is the product of force and distance. The applicable force when lifting the box is the weight of the box (the box itself and any objects inside).
Answer: V - 15 = 74; V = 89
<u>Step-by-step explanation:</u>
"difference" means subtraction
"is" means equals
Vidya's height <u>minus</u> 15 <u>is</u> 74
V - 15 = 74
To solve, add 15 to both sides: V - 15 + 15 = 74 + 15
V = 89
