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3 years ago

Order of least to greatest 3.25,3 2/5, 3 3/8

1 answer:

6 0

3 (2/5) is the same as 3.4
3 (3/8) is the same as 3.375
So from least to greatest it would be
3.25, 3.375, 3.4 convert that back to your fractions from earlier
3.25, 3 (3/8), 3 (2/5) :)

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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF

Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)

2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)

3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}$

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}$

$\Rightarrow \frac{8}{5} =\frac{10-x}{x}$

$\Rightarrow x=3.85$

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm

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3 years ago

a stadium with 80 rows has 20 seats in the first rows,30 in the second,and so on.how many total seats are in the stadium

joja [24]

Answer: there are 2,000 seats in total

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3 years ago

If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the

pogonyaev

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

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3 years ago

I want to fence in a square vegetable patch. The fencing for the east and west sides cost $7 per foot, and the fencing for the n

Bezzdna [24]

The total cost of the fencing is a function of the length of a side x (feet) is 10x + 14y.

<h3>How to find the perimeter?</h3>

The perimeter is made by adding the south, north, east, and west side.

Given that

The cost of fencing for the east and west sides is $7 per foot, and the cost of fencing for the north and south sides is only $5 per foot.

We have to find total cost of the fencing is a function of the length of a side x (feet).

The east and west fencing cost is $7/ft but the south and north fencing cost is $5/ft.

x = north and south fencing

y = the east and west sides, then you can get this equation.

Total cost= (south +north) × 5 + (east+ west) × 7

Total cost =(x + x) × 5 + (y+ y) × 7

Total cost = 5(2x) + 7(2y)

Total cost = 10x + 14y

Hence, the total cost of the fencing is a function of the length of a side x (feet) is 10x + 14y.

To know more about the Equation click the link given below.

brainly.com/question/1687505

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brians kite is flying above a field at the end of 65 m string. if the angle of elevation to the kite is 70°. how high is the kit

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3 years ago