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lys-0071 [83]
3 years ago
9

Which equation matches the table ​

Mathematics
2 answers:
Alona [7]3 years ago
4 0

Answer:

b

Step-by-step explanation:

8090 [49]3 years ago
3 0

Answer:

( B ) definitely .. try each choice and you will see .

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What is 8.07 × 102 in standard form
SOVA2 [1]

Answer:

8070

Step-by-step explanation:

Given:  

8.07

x

10

3

8.07

×

10

3

=

8.07

×

1000

=

8070

7 0
3 years ago
Write the ratio 4 L : 5.6 L as a fraction in the simplest form with whole numbers in the numerator and denominator
Fiesta28 [93]

Answer:

Step-by-step explanation:

It's 5/7

You get that by having a calculator that does that. If you don't then the way to do it is multiply the numerator and denominator by 1.25

4 * 1.25 = 5

5.6 * 1.25 = 7

8 0
2 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression
ivanzaharov [21]

Answer:d

Step-by-step explanation:

Brainliest plz

8 0
2 years ago
Geometry help on questions 1,2,3
Semmy [17]
The exact value of d is 44 \sqrt{2}

a. 62
b. 62.2
c. 62.23
4 0
3 years ago
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