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Andreyy89
2 years ago
8

Please explain it. and no links. thanks.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Answer:  4*sqrt(66)

This is the same as saying 4\sqrt{66}

===========================================================

Explanation:

x = length of segment BD

Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.

What this leads to is the proportion

CD/BD = BD/AD

Apply substitution and solve for x.

24/x = x/44

24*44 = x*x .... cross multiply

1056 = x^2

x = sqrt(1056)

x = sqrt(16*66)

x = sqrt(16)*sqrt(66)

x = 4*sqrt(66)

Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule \sqrt{x*y} = \sqrt{x}*\sqrt{y}
 to break up the root.

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Write an equation of the line that passes through the given point and has the given slope.
ycow [4]

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

5 0
3 years ago
An airplane is flying at 180mph. A jet flying at 330 mph leaves 1 hour later traveling in the same direction. How long will it t
zimovet [89]

To solve this problem, let us first assign some variables. Let us say that:

v1 = velocity of airplane = 180 mph

t1 = time travelled by airplane

v2 = velocity of jet = 330 mph

t2 = time travelled by jet

 

Since we know that distance is the product of velocity and time, and that the distance travelled by the two must be equal for the jet to catch up to the plane, hence:

v1 * t1 = v2 * t2

But we know that:

t1 = t2 + 1

Therefore:

180 (t2 + 1) = 330 t2

180 t2 + 180 = 330 t2

150 t2 = 180

t2 = 1.2 hours

 

<span>Therefore the jet can catch up to the plane after 1.2 hours it takes off.</span>

4 0
3 years ago
A tennis player moves in a straight-line path as shown in the figure below. find her average velocity in the following time inte
Andreyy89
To find the average velocity in a velocity-time graph at a particular interval, simply determine the gradient at that particular interval. 

<span>a. average velocity= 4/1 </span>
<span>= 4m/s </span>

<span>b. average velocity from 1 to 2.5s= 6/(2.5-1) </span>
<span>= 4m/s </span>

<span>average velocity from 2.5 to 4.0s= 0m/s </span>

<span>average velocity from 0 to 4.0s= (4+0)/4 </span>
<span>= 1m/s </span>

<span>c. average velocity from 1.0 to 4.0s= (4/3)m/s </span>

<span>average velocity from 4.0 to 5.0s= 2/1 </span>
<span>= 2.0m/s </span>

<span>average velocity from 1.0 to 5.0s= ((4/3)+2)/4 </span>
<span>= (5/6)m/s </span>

<span>d. average velocity from 0 to 4.0s= 1.0m/s </span>

<span>average velocity from 4.0 to 5.0s= 2.0m/s </span>

<span>average velocity from 0 to 5.0s= (1.0+2.0)/5 </span>
<span>= (3/5)m/s </span>
4 0
3 years ago
Aaron wants to buy 2 concert tickets that cost $25.50 each. Aaron's grandfather pays him $4.25 an hour to rake leaves. How many
alexandr402 [8]

You are going to times 25.50 together and that's 51 so then you are going to divide 51.00 by 4.25 and that's 12


So the answer is 12 

8 0
3 years ago
Read 2 more answers
The sum of two numbers is 27 and their product is 50. Find the numbers.?<br><br>​
san4es73 [151]

Answer:

a + b = 27

=> a = 27 - b

ab = 50

So, (27 - b) x b = 50

27b - b^2 = 50

b^2 - 27b + 50 = 0

Solving, b = 25, 2

Hence,

Case 1: b = 25, a = 2

Case 2, b = 2, a = 25

5 0
2 years ago
Read 2 more answers
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