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3 years ago

A data set is made up of these values three, three, four, six, six, seven, 10.

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

Step-by-step explanation:

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Identify the exact value of 157.5°

steposvetlana [31]

<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>

8 0

3 years ago

Which of these can not form a perpendicular bisector?v PLZ HALLLLPPPP

polet [3.4K]

A circle obviously. A perpendicular bisector requires right angles which a circle can physically never have.

4 0

4 years ago

Read 2 more answers

X^2+y^2=169, 3x+2y=39

Elden [556K]

The answer is on the pic

Step-by-step explanation:

Btw brainliest me plss

7 0

3 years ago

83. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

alexdok [17]

Answer:

$2^{\frac{18}{11}}$

Step-by-step explanation:

The given expression is

$\sqrt[11]{y^2z^4}$

The exponent property $\sqrt[n]{x^ay^b}=x^{a/n}y^{b/n}$

Applying this exponent property, we have

$\sqrt[11]{y^2z^4}\\\\=y^{2/11}z^{4/11}$

Now, the given numeric values are x = 9, y= 8, and z= 16

On substituting these values in the simplified expression, we get

$(2)^{2/11}(16)^{4/11}$

This can be further simplified by writing $16=2^4$

$(2)^{2/11}(2^4)^{4/11}\\\\(2)^{2/11}(2)^{16/11}$

Now, applying the product rule of exponent: $x^a\cdot x^b=x^{a+b}$

$(2)^{2/11+16/11}\\\\=2^{\frac{18}{11}}$

4 0

3 years ago

Mr. Jones is opening a restaurant. A town ordinance states that his

Crazy boy [7]

Answer:

(l = 2 ft, b = 48 ft ), (l = 4 ft, b = 24 ft ), (l = 8 ft, b = 12 ft ), (l = 16 ft, b = 6) (l = 32 ft, b = 3 ft ) are the set of possible length and breadth dimension for sign board.

Step-by-step explanation:

Let us assume the possible length of the sign board = a ft

And the possible width of the sign board = b ft

The maximum possible area covered by board = 96 sq ft.

Now,as we know, AREA OF A RECTANGLE = LENGTH x WIDTH

So, here:

Area of sign board = Possible ( length x Width) of board

⇒ 96 sq ft = a x b .......... (1)

Now, by prime factorization, 96 = 2 x 2 x 2 x 2 x 2 x 3

Now, also, 96 = 2 x 48 ⇒ a = 2 ft, b = 48 ft

= 4 x 24 ⇒ a = 4 ft, b = 24 ft

= 8 x 12 ⇒ a = 8 ft, b = 12 ft

= 16 x 6 ⇒ a = 16 ft, b = 6 ft

= 32 x 3 ⇒ a = 32 ft, b = 3 ft

As, all above mentioned values of a and b gives the area = 96 sq ft

Hence, these are the given possible dimensions of the sign board

6 0

3 years ago