The midpoint of TU is located at

Find the area of each shade region (can you do both for me please)

grandymaker [24]

*FORMULA*

Qu1.

$area \: of \: a \: triangle = \frac{1}{2} base \: \times height$

Height=10

Base=8

$= \frac{1}{2} \times 8 \times 10$

$= 40$

Qu2.
Area of a kite=half×product of digonals
Step by step solution
Summation of 1st diagonal =5+5
=10
Summation of 2nd diagonal =7+5
=12
Product of the diagonals
=10×12
=120
Area=1÷2×120
=60

3 0

3 years ago

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2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of the

Gekata [30.6K]

They lose 33% of games i.e 0.33
They win 67% of games i e 0.67

So

P(A)=0.33
P(A')=0.67

Now

They win from 15games=10
They lose=5

The required probability

$\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}$

$\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}$

$\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}$

$\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}$

$\\ \rm\rightarrowtail 0.00007098(3003)$

$\\ \rm\rightarrowtail 0.213$

So probability

0.213(100)=21.3%

Option B

3 0

2 years ago

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a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the compa

bogdanovich [222]

Answer:

4 1/2 tons of recycled paper

Step-by-step explanation:

13.5/3 = 4.5 or 4 1/2

3 0

2 years ago

The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.

zloy xaker [14]

Answer: 2x² + x - 2 (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x²
----------------------------------
 4x³ - 9x² + 3x - 2

3) Second term of the quotient:

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x² + x
----------------------------------
 4x³ - 9x² + 3x - 2
 -4x³ + x² - x
 ----------------------------
 - 8x² + 2x - 2

4) third term of the quotient:

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x² + x - 2
----------------------------------
 4x³ - 9x² + 3x - 2
 -4x³ + x² - x
 ----------------------------
 - 8x² + 2x - 2
 8x² - 2x + 2
 -------------------------
 0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is 2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.

5 0

3 years ago

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Helpppppp meeeeeeeeee

Law Incorporation [45]

Answer:

The temperature needs to rise 1.5 degree C to reach 0 degree C.

Step-by-step explanation:

-1.5+1.5=0

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3 years ago

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