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Charra [1.4K]
3 years ago
6

Which equations are equal to this equation Select all that apply. 1/4(8x+56)=20

Mathematics
1 answer:
Zanzabum3 years ago
4 0
A and d are the answers
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the present age of the father is twice HD old is the age of its own three years hence if two years hence the age of the father w
NemiM [27]
Big sundi and more bigger with spice
6 0
3 years ago
4n - 2n = 4<br> Can someone help me solve this?
Semmy [17]

Answer:

n= 2

Step-by-step explanation:

i know this is right

6 0
3 years ago
Read 2 more answers
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
A bakery sells ,medium and large pies. The ratio small:medium:large is 3:5:2 .What fraction of the pies are large ?
SOVA2 [1]
2/8

there’s 8 total pies and among all of them, there’s only 2 large pies
so 2 large pies out of eight pies
6 0
2 years ago
Correct answers only please!
-Dominant- [34]

Answer:

63.4

Step-by-step explanation:

The triangle is right angled , so :

tan S = UT/ST

tan S = 2/1

tan S = 2

S = tan^{-1}2

S = 63.4

5 0
3 years ago
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