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4 years ago

_ are __ midsegments of ΔWXY.

Mathematics

2 answers:

iVinArrow [24]4 years ago

3 0

Answer:

The perimeter of Δ WXY is 14.50 cm ⇒ the last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- There is a fact in any triangle; the segment joining the midpoints of

two side of a triangle is parallel to the 3rd side and half its length

* Lets use this fact to solve the problem

- In Δ WXY

∵ Q is the midpoint of WX

∵ R is the midpoint of XY

∵ S is the midpoint of YW

- By using the fact above

∴ QR = 1/2 WY

∴ RS = 1/2 WX

∴ SQ = 1/2 XY

- Lets calculate the length of the sides of Δ WXY

∵ QR = 1/2 WY

∵ QR = 2.93

∴ 2.93 = 1/2 WY ⇒ multiply both sides by 2

∴ WY = 5.86 cm

∵ RS = 1/2 WX

∵ RS = 2.04

∴ 2.04 = 1/2 WX ⇒ multiply both sides by 2

∴ WX = 4.08 cm

∵ SQ = 1/2 XY

∵ SQ = 2.28

∴ 2.28 = 1/2 XY ⇒ multiply both sides by 2

∴ XY = 4.56 cm

- Lets find the perimeter of Δ WXY

∵ The perimeter of Δ WXY = WX + XY + YW

∴ The perimeter of Δ WXY = 5.86 + 4.08 + 4.56 = 14.50

* The perimeter of Δ WXY is 14.50 cm

satela [25.4K]4 years ago

3 0

Answer:

The perimeter of Δ WXY is 14.50 cm

Step-by-step explanation:

edge2020

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Read 2 more answers

To the nearest tenth of a precent, 78 is what precent of 82

forsale [732]

Answer:

95.1

Step-By-Step Explanation

78:82*100 =

(78*100):82 =

7800:82 = 95.12

Now we have: 78 is what percent of 82 = 95.12

Question: 78 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=82

Step 4: In the same vein, x%=78

Step 5: This gives us a pair of simple equations:

$100\%=82(1)

$x\%=78(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100% over x% = 82 over 78

Step 7: Taking the inverse (or reciprocal) of both sides yield

x% over 100% = 78 over 82

x = 95.12%

Therefore, 78 is 95.12% of 82

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3 years ago

7.935 x 10 to negative 5 power

Effectus [21]

Answer:

0.00007935

Step-by-step explanation:

7.935 x 10 to negative 5 power can be written as:

7.935 x 10^(-5)

$7.935*10^{-5}\\\frac{7.935}{10^5}$

A trick to finding 10 to the x power, x is the number of 0's. So 10^5 = 100000

$\frac{7.935}{100000}\\$

When dividing by tens, move the decimal to the left by the amount of 0's

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4 years ago

SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by

Hitman42 [59]

Answer:

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b) $C(x)$ decreases in $(8\,s, 10\,s)$ .

Step-by-step explanation:

Let $C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850$ , where $x$ is the quantity of insecticide, measured in hundreds of liters, and $C(x)$ is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of $C(x)$ are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

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Please notice that regions where C(x) is increasing has $C'(x) > 0$ , whereas $C'(x) < 0$ when $C(x) < 0$ .

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3 years ago

_____ are ______ midsegments of ΔWXY.

_ are __ midsegments of ΔWXY.