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harina [27]
3 years ago
10

Two lengths of a triangle are shown.

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

11 ft

Step-by-step explanation:

Given the two lengths of a triangle as

AB = 6ft

AC = 6ft

This is an isosceles triangle because only 2 sides are equal.

In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.

Therefore, let's assume the following:

i) AC + AB > BC

6 + 6 > BC

12 > BC (BC is less than 12)

BC < 12

ii) BC + AC > AB

BC + 6 > 6

BC > 6 - 6

BC > 0

Therefore the range of values for BC =

0 < BC < 12

Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.

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A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocop
nalin [4]

Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

                                 = (4 × 60) × 25

                                 = 240 ×25

                                 = 6000 pages

Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

           = \frac{6000}{100} × 3

           = 60 × 3

           = 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

3 0
3 years ago
Find the missing length of the right triangle.<br> a<br> 21<br> 35
WITCHER [35]

Answer:

28

Step-by-step explanation:

Use the pythagorean theorem and solve for a:

a² + b² = c²

a² + 21² = 35²

a² + 441 = 1225

a² = 784

a = 28

So, the missing length is 28.

4 0
2 years ago
In choice box 1
lisov135 [29]

Answer:

Choice box 1: Always

Choice box 2: exactly 2 pairs

Choice box 3: adjacent

Step-by-step explanation:

If you look at a picture of a kite.

You always see the two top sides the same size and the two bottom sides the same size. Take a look at this picture.

8 0
1 year ago
Read 2 more answers
How do you convert 78,999milligrams to grams ?
lorasvet [3.4K]
There are 1,000 milligrams in a gram, so to convert milligrams to grams, you simply divide by 1,000.

<span><u>78,999
</u></span> 1000
78.999

Therefore, 78,999 milligrams is 78.999 grams.
6 0
2 years ago
Find dy/dx by implicit differentiation for x – y = xy.
frez [133]

Answer:

\frac{dy}{dx} = \frac{1-y}{1+x}

Step-by-step explanation:

Differentiate xy using the product rule, then

Given

x - y = xy

1 - \frac{dy}{dx} = x. \frac{dy}{dx} + y. 1 = x\frac{dy}{dx} + y ( subtract 1 from both sides )

- \frac{dy}{dx} = x \frac{dy}{dx} + y - 1 ( subtract x \frac{dy}{dx} from both sides )

- \frac{dy}{dx} - x \frac{dy}{dx} = y - 1 ( multiply through by - 1 )

\frac{dy}{dx} + x\frac{dy}{dx} = 1 - y

\frac{dy}{dx} (1 + x) = 1 - y ← divide both sides by (1 + x)

\frac{dy}{dx} = \frac{1-y}{1+x}

8 0
3 years ago
Read 2 more answers
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