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Leona [35]
2 years ago
9

8.25 × 10–4 in standard form.

Mathematics
1 answer:
Elanso [62]2 years ago
7 0

The 10^-4 means that the decimal point is 4 places to the left of where it is in 8.25 (if the exponent was positive the decimal point would be to the right). If you move the decimal point 4 places to the left you get an answer of 0.000825 which is 8.25 * 10^-4 in standard form.

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Write the following in terms of sin Θ and cos Θ; then simplify if possible. (Leave your answer in terms of sin Θ and/or cos Θ.)
Marysya12 [62]

Answer:

6 cos Θ

Step-by-step explanation:

sin Θ cot Θ + 5 cos Θ =

= sin Θ × cos Θ / sin Θ + 5 cos Θ

= cos Θ + 5 cos Θ

= 6 cos Θ

3 0
2 years ago
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​
AveGali [126]

Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = \sqrt{37}

3 0
2 years ago
Tan(a)+cot(b) simplify please.
Hitman42 [59]

Answer:

tan a + cot b

Step-by-step explanation:

It's already simplified.

There are alternate forms like

sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}

5 0
3 years ago
Hello Please help me.
Mama L [17]
A because the rest are just adding or multiplying
4 0
2 years ago
A ream of paper contains 500 sheets of paper. Norm has 373 sheets of paper left from a ream. Express the portion of a ream Norm
Lunna [17]

Answer: In fraction : \dfrac{373}{500}

In Decimal :  0.746

Step-by-step explanation:

Given : A ream of paper contains 500 sheets of paper.

Norm has 373 sheets of paper left from a ream.

Then, the fraction of ream Norm has will be :-

\dfrac{\text{Number of sheets left from ream }}{\text{Total sheets in a ream }}\\\\=\dfrac{373}{500}

To convert in decimal we divide 373 by 500, we get 0.746.

Hence, The portion of a ream Norm has as = \dfrac{373}{500} or 0.746

3 0
2 years ago
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