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3 years ago

Write each number in standard form. 2.5 . 105 7.8 . 10-5

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

1) 2.5*10°

2) 1.50*10²

3) 7.8*10°

4) 5*10°

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PLEASE help! Quickly please. I'll give as many points as I can!

nignag [31]

Answer:

x=55

a=11.47

Step-by-step explanation:

To find x we add all the angles in the triangle. The three angles in a triangle add to 180 degrees

35+x+90 = 180

Combine like terms

125+x=180

Subtract 125 from each side

125-125+x=180-125

x= 55

To find a

sin 35 = opposite side/ hypotenuse

sin 35 =a/20

Multiply each side by 20

20sin35 =a

11.47152873 =a

6 0

3 years ago

At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi

Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

$y = -\frac{1}{8}x^2+4x$ ...........................................(1)

$3y = 2x - 14$ ..............................................(2)

From (2),

$y = \frac{2}{3}x-\frac{14}{3}$ .................................................(3)

Substituting (3) in (1),

$\frac{2}{3}x-\frac{14}{3} = -\frac{1}{8}x^2+4x$

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

$(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) = (-24\times \frac{1}{8}x^2)+(24\times4x)$

$16x - 112 = -3x^2+96x$

$3x^2-80x -112 = 0$

$(x-28)(3x+4) = 0$

$x-28 = 0$ OR $3x+4=0$

$x=28$ OR $x = -\frac{4}{3}$

The value of y represents the height.

Substituting for x in (3)

$y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14$

$y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}$

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

6 0

3 years ago

May Somebody Please Help me soon What is the slope of the line on the graph?

Artyom0805 [142]

One over three or 1/3

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4 years ago

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Hi answer for this please

34kurt

Answer:

49 m³

Step-by-step explanation:

Volume used between August and November = 6287 - 6238

= 49 m³

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3 years ago

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Jamie is saving to buy a video game system. He has saved $16, which is 5% of the total cost. What is the cost of the video game

Galina-37 [17]

$320 5 times 20 is 100 so you have to times 16 by 20 to get the total 100% of the video game system

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4 years ago