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3 years ago

If the rectangular screen of a 40-inch monitor is 35 inches wide, what is the height of the monitor? Round to the nearest tenth.

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:

19.4

Step-by-step explanation:

We can solve this question using Pythagorean theorem

40^2 = h^2 + 35^2

1600= h^2+ 1225

1600-1225= h^2

375= h^2

h= √375

h = 19.4

Hence the height is 19.4

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Line segment AB is reflected across the y–axis to form line segment CD. Then, line segment CD is rotated 90° clockwise about the

Maksim231197 [3]

Answer:

The coordinates of EF are E(5,-4) and F(1,-4).

The line segment EF is in QIV

Step-by-step explanation:

The line segment AB has vertices at: A(-4,5) and B(-4,1).

We apply the rule $(x,y)\to (-x,y)$ to reflect AB in the y-axis to obtain CD.

$\implies A(-4,5)\to C(4,5)$

$\implies B(-4,1)\to D(4,1)$

We apply the rule $(x,y)\to (y,-x)$ to rotate CD 90 degrees clockwise about the origin to obtain EF.

$\implies C(4,5)\to E(5,-4)$

$\implies D(4,1)\to F(1,-4)$

The coordinates of EF are E(5,-4) and F(1,-4).

See attachment

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3 years ago

Tim bought nine new baseball trading cards to add to his collection. The next day his dog ate half of his collection. there are

Dmitrij [34]

Answer:

Step-by-step explanation:

the dog ate half so there is only the other half left and there is 43 cards left

1 half + 1 half = 1 whole so 43 + 43 = 86
86 is the total after he bought 9 new cards

86 - 9 = 77

7 0

2 years ago

If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)

agasfer [191]

Answer:

g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>

h(x) = (f ο g)(x)
h(x) = $\sqrt{x+5}$
f(x) = $\sqrt{x+2}$

g(x)

<h3>Solution</h3>

(f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

$\sqrt{x+5}$ = $\sqrt{g(x)+2}$
x + 5 = g(x) + 2
x + 3 = g(x)
g(x) = x + 3

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2 years ago

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Answer:

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