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3 years ago

Please help Slove for x

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).

3x - 10 + 5x + 30 = 180 add/subtract all like terms

8x + 20 = 180

8x = 160

x = 20 <--- This will be your answer

Hope it helps!

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If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0

3 years ago

The table above shows four numeric expressions. Which expression is an integer when it's evaluated?

Gre4nikov [31]

Answer: H

Step-by-step explanation:

$9(-3)=-27$ , which is an integer.

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2 years ago

Joe went shopping for a guitar in Fairfax. He purchased one originally priced at $240 but discounted 80%. If sales tax in Fairfa

puteri [66]

Answer:

$52.44

Step-by-step explanation:

So here is the explanation. $240•.80= 192 (80% as a decimal is .80) 240-192=48. 48•.0925=4.44 which you add 48, and get a sum of $52.44

Hope this helps :)

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3 years ago

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-4 because it is closer to the 0

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Step-by-step explanation:

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2 years ago