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3 years ago

The coordinates of the vertices for figure HIJK are H:(0,5) I:(3,3) J:(4,-1) and K:(1,1)

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

5 0

What’s the question?

anastassius [24]3 years ago

5 0

Answer:

1. Bisect each other.

2. (2,2)

3. Have the same midpoint.

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Find the area of a perfect polygon that has 99 sides and each side measures 31 inches

Assoli18 [71]

Answer:95139 units^2

Step-by-step explanation:

(31*31)*99 = 95139

So the answer should be 95139 units ^2

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2 years ago

Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

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2 years ago

One number is six more than the other number . thesum of their squares is 90

Andreyy89

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

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1 year ago

Choose the equation that is equivalent to: 4(8x+6)=20

KengaRu [80]

Answer:

Step-by-step explanation:

32x + 24 = 20

24 - 24= 0

20 - 24= -4

32x = -4

32x/32

-4/32= -8

X= -1/8

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2 years ago

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The following repeating decimal[tex](1.33333...) is a:

lutik1710 [3]

Answer is A.Rational number

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