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3 years ago

In the figure shown, BC is parallel to

Mathematics

1 answer:

arlik [135]3 years ago

5 0

Answer:

52 units.

Step-by-step explanation:

If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.

Now CE = 6 and as the whole figure is symmetrical about the dashed line,

ED = (26 - 10)/2

= 8.

So by Pythagoras:

CD^2 = 6^2 + 8^2 = 100

CD = 10.

So, as AB = CD,

the perimeter = 10 + 26 + 2(8)

= 52.

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Differentiate function <br> Y=Ln^2(2x+11)

Studentka2010 [4]

Answer:

$\frac{\textbf{dy}}{\textbf{dx}}=\frac{\textbf{2}}{\textbf{x}}+\frac{\textbf{4}}{\textbf{11}}$

Step-by-step explanation:

Given function is

$y=\log^2(2x+11)$

the above function can be written as

$y=2\log(2x+11)$

(By using the formula $\log x^n =n \log x$ )

Now differentiate the above function with respect to x on both sides

$\frac{dy}{dx}=2\left[\frac{1}{2x+11}\right]\ (2)$

(By using formula $\log x=\frac{1}{x}$ and $\log (ax+b)=\left(\frac{1}{ax+b}\right){(a)}=\frac{a}{ax+b}$ where a and b constants)

$=\frac{4}{2x+11}$

$=\frac{4}{2x}+\frac{4}{11}$

Therefore

$\frac{dy}{dx}=\frac{2}{x}+\frac{4}{11}$

7 0

3 years ago

Write 28 x 32 in commutative property. No links!

dangina [55]

32 x 28

you just have to flip them, and it'll be commutative! :D

8 0

2 years ago

2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day.

Radda [10]

Invasive weed grows at a rate of 0.0011 ft per minute a day

In the above question, it is given as

Invasive weed grows really fast and the rate of its growth is being provided as follows

The rate at which the weed is growing a day is = 1.65 ft

We need to find the, rate at which this weed is growing per minute

So, to do this, we'll find the growth in 1 min

In 24 hours growth is = 1.65 ft

Conversion factors

We know, 1 hour = 60 minutes

In 1 min growth is = $\frac{1.65}{24 . 60}$

Here, we have multiplied with 60 in the denominator to convert hours into minutes

After solving the fraction we'll get

Growth in 1 min of the weed = 0.0011 ft

Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day

To learn more about minute here

brainly.com/question/15600126

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6 0

1 year ago

The table shows the number of apples and oranges sold at a grocery store over a 6 day period. Which statement is TRUE? A) The ra

mojhsa [17]

He is right it is A

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3 years ago

There are 37 student that are riding in cars for a field trip. If a car can carry 4 students, how many cars are necessary to tak

Anuta_ua [19.1K]

Answer:

10 cars

Step-by-step explanation:

37 ÷ 4 = 9.25

Because this is dealing with people, not numbers, there can't be a remaining 0.25 person. There's one extra person that doesn't cleanly fit into the 9 other cars, so a tenth car is needed for that person.

8 0

3 years ago