All categories

3 years ago

High school geometry anyone?

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

Therefore the length of EC is 6.67 ft.

Step-by-step explanation:

Given:

BC = 12 ft

AC = 6.75 ft

DE = 3ft

DE is parallel to AC.

Angle C is 60°.

Angle A and Angle BDE are both right angles.

Triangle ABC is similar to Triangle DBE.

To Find:

EC = ?

Solution:

Δ ABC ~ Δ DBE ..................Given

If two triangles are similar then their sides are in proportion.

$\frac{AB}{DB} =\frac{BC}{BE} =\frac{AC}{DE}\ \textrm{corresponding sides of similar triangles are in proportion}\\$

On substituting the given values we get

$\frac{BC}{BE} =\frac{AC}{DE}$

$\frac{12}{BE} =\frac{6.75}{3}\\\\BE=5.33$

Now as B - E - C,

$BC=BE+EC$ ..........Addition property

substituting the given values we get

$12=5.33+EC\\\\EC=12-5.33=6.67\ ft$

Therefore the length of EC is 6.67 ft.

You might be interested in

This table shows values that represent an exponential function. What is the average rate of change for this function for the int

Pepsi [2]

Answer:

$\boxed{12}$

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

$\frac{24}{2}$ = 12

6 0

3 years ago

Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of

g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

$x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225$

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

8 0

3 years ago

Which situation represents a proportional relationship?

ozzi

Answer:

c.... i am just smart

5 0

3 years ago

Please help right away

andrew-mc [135]

Answer:

100

Step-by-step explanation:

Mixed candy question... Skittles jar... to be filled with Jelly beans.

Let's first calculate the volume of the jar. We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.

V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm

Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm. The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.

So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....

442.6 / 3 = 147.5 jelly beans, approximately.

So, can they fit 100,000? No

Can we fit 10,000 in there? No

Can we fit 100? Yes.

Can we fit 1? Certainly

The most reasonable lower-limit would then be 100.

4 0

3 years ago

Convert each of the following estimates of useful life to a straight-line depreciation rate, stated as a percentage: (a) 10 year

Rzqust [24]

Answer:

a.10 years 1 / 10 x 100 10% per year

b. 8 years 1 / 8 x 100 12.5% per year

c. 25 years 1 / 25 x 100 4% per year

d. 40 years 1 / 40 x 100 2.5% per year

e. 5 years 1 / 5 x 100 20% per year

f. 4 years 1 / 4 x 100 25% per year

g. 20 years 1 / 20 x 100 5% per year

Step-by-step explanation:

Under straight line method of depreciation, equal amount of the depreciation is reduced throughout the useful life of the asset. Using the following formula:

<u>Straight line depreciation rate = 1 / Useful Life x 100 </u>

So:

a.10 years 1 / 10 x 100 10% per year

b. 8 years 1 / 8 x 100 12.5% per year

c. 25 years 1 / 25 x 100 4% per year

d. 40 years 1 / 40 x 100 2.5% per year

e. 5 years 1 / 5 x 100 20% per year

f. 4 years 1 / 4 x 100 25% per year

g. 20 years 1 / 20 x 100 5% per year

7 0

3 years ago