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vladimir2022 [97]
3 years ago
8

Find the measure of the indicated angle to the nearest degree​

Mathematics
1 answer:
omeli [17]3 years ago
4 0

\boxed{\sf sin\Theta=\dfrac{P}{H}}

\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}

\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}

\\ \sf\longmapsto sin\Theta=0.5

  • Convert to p/q form

\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}

\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}

\\ \sf\longmapsto sin\Theta=sin30

\\ \sf\longmapsto \Theta\approx30°

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The graph shows the distance, y, in miles, of an eagle from its nest over a certain amount of time, x, in minutes.
miv72 [106K]

i think its A but I'm not 100% on it-

4 0
3 years ago
Donatello starts with a marble cube of side length $10.$ He then slices a pyramid off each corner, so that in the resulting poly
prohojiy [21]

Answer:

The length of each side of the polyhedron, s is 4.142 or

= 10(\sqrt{2}-1)

Step-by-step explanation:

If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as

\sqrt{x^2 + x^2} = \sqrt{2x^2} =x\sqrt{2}

x·√2 because we have an hy

Therefore, the original cube had sides of length

10 = 2·x + x·√2

Solving for x we get

x = \frac{10}{\sqrt{2}+2 }

Therefore the length of s is x·√2 which gives

s = x\sqrt{2}  = \frac{10}{\sqrt{2}+2 }\sqrt{2} = 10\sqrt{2} -10 = 10(\sqrt{2}-1) = 4.142

The length of each side of the polyhedron, s = 4.142.

3 0
4 years ago
The sum of 17 and twice a number is 87. Find the number.
laila [671]
" the sum " means add

17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==
5 0
3 years ago
Find the cost to rent for 5 years if the monthly rental amount is $700 increasing $25 a month each year.
chubhunter [2.5K]
There are 12 months in a year and the equation is asking for 5 years, so 5x12=75
The rent starts at $700 and I️t increases $25 each month for 75 months

$700 +$25(75)
$700+ $1,875
$2,575
5 0
4 years ago
A side of a square is 10 meters longer than the side of an equalatrial triangle. The perimeter of the square is 3 times the peri
Artyom0805 [142]

Answer:

8 meters

Step-by-step explanation:

Let side of square be "x"

and

Let side of equilateral triangle (triangle with all equal sides) be "y"

we know perimeter is the "sum of all the sides".

Now,

square's side is 10 longer than triangle's side, so we can write:

x = 10 + y

The perimeter of square is x + x + x + x = 4x

The perimeter of equilateral triangle is y + y + y = 3y

Now, perimeter of square is 3 times perimeter of triangle, so we can write:

4x = 3(3y)

4x = 9y

Now we replace this with 1st equation and solve for y:

4x = 9y

4(10 + y) = 9y

40 + 4y = 9y

40 = 5y

y = 40/5 = 8

The length of each side of triangle is 8 meters

6 0
3 years ago
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