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3 years ago

Find a measure of the missing angle G H K M

Mathematics

1 answer:

Kaylis [27]3 years ago

6 0

Answer:

h = 65, g = 115, m = 49, k = 131

Step-by-step explanation:

h and 115 are supplementary angles, so 180 - 115 is 65 degrees.

g and 115 are vertical angles, so both should be 115 degrees.

m and 131 are supplementary angles, so 180 - 131 = 49 degrees.

k and 131 are vertical angles, so both should be 131 degrees.

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A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is give

rosijanka [135]

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16 $t^{2}$ + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

= 224

h = 224 m

Total height, S = 240 + 224

= 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + $\frac{1}{2}$ g $t^{2}$

S = $\frac{1}{2}$ g $t^{2}$

464 = $\frac{1}{2}$ *9.8* $t^{2}$

$t^{2}$ = $\frac{928}{9.8}$

= 94.694

t = $\sqrt{94.694}$

= 9.7311

t ≅ 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

Visit: brainly.com/question/13834669

7 0

2 years ago

Find the volume for the regular pyramid. 4cu units, 6 cu units, or 12 cu units

yulyashka [42]

Answer:

4 cu. units

Step-by-step explanation:

1/3x2x2x3=4 cu. units

7 0

3 years ago

Read 2 more answers

Integrate sin²2x cos²2x dx

DochEvi [55]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$