All categories

3 years ago

If KM is drawn on this quadrilateral, what will be its length?

Mathematics

1 answer:

Anna [14]3 years ago

5 0

It would be 16 units!!

You might be interested in

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

What is the C of a circle that has a radius of 4.5

Jlenok [28]

Step-by-step explanation:

$C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\ = 3.14 \times 9 \\ =28.26 \: units$

5 0

3 years ago

Savannah has 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans

VashaNatasha [74]

122 because 366÷3=122 that means x=34

6 0

3 years ago

Read 2 more answers

An online music store offers 5 downloads for $6.25.Another online music store offers 12 downloads for $17.40.Which store offers

Anon25 [30]

Well, what you have to do is find the unit rate for each one of those prices and how you do that is by dividing each price by the downloads

so $6.25 divided by 5= $1.25

and then $17.40 divided by 12= $1.45

so that means the one with $6.25/5 downloads has a better deal!

3 0

3 years ago

marta [7]

Option c is correct formula

6 0

3 years ago