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3 years ago

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Find the value of y. A. 16 B. \sqrt{55} C. 8\sqrt{3} D. 6

2 answers:

Naya [18.7K]3 years ago

5 0

<h2>Answer:</h2>

Option: B is the correct answer.

The value of y is:

$y=\sqrt{55}$

<h2>Step-by-step explanation:</h2>

We know that when a altitude is drawn from the vertex of a right angled triangle to the hypotenuse of the triangle then the length of the altitude is the geometric mean of the length of two segments of the hypotenuse.

Here by looking at the figure we have:

The altitude is denoted by y.

and the two segments of the hypotenuse have length 5 and 11.

Hence, we have:

$y=\sqrt{5\times 11}\\\\i.e.\\\\y=\sqrt{55}$

tatyana61 [14]3 years ago

4 0

The answer is B hope this would help you

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NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em> $r ^ 2 + 7r + 10$ : </em>We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

<em> $r ^ 2-5r-50:$ </em> We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

<em> $3r-30 = 3 (r-10)$ </em>

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

4 0

3 years ago

Read 2 more answers

In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use

avanturin [10]

Answer:

$A(t)=975(1.025)^t$

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

$A_0=975,t=0$

According to question

Number of students at the villages high School is given by

$A(t)=A_0(1+r)^t$

Substitute the values

$A(t)=975(1+0.025)^t=975(1.025)^t$

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

$A(7)=975(1.025)^7=1158.96\approx 1159$

8 0

3 years ago

Read 2 more answers

Plz help me with this question I don't understand it!!

Sav [38]

9t-7t-t^2
2t-t^2

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3 0

3 years ago

Select the expression that has a sum of seventy-four hundredths.

Alex_Xolod [135]

It should be D

Explanation:
“Four-tenths (0.4) plus thirty-four hundredths (0.34).”

0.4
0.34
——-
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2 years ago

I need help asap WiLl mark you brainlist

Simora [160]

The answer would be 10^-3

6 0

3 years ago