3 years ago

Finding unknown angle measures

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Wow glad I’m not in this grade yet

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1) A projectile is thrown upward so that its distance above the ground after t seconds is

leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

$h(t)=-10t^{2}+440t$

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

$h(t)=-10(t^{2}-44t)$

Complete the square

$h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)$

$h(t)=-10(t^{2}-44t+22^2)+4,840$

Rewrite as perfect squares

$h(t)=-10(t-22)^{2}+4,840$

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0

3 years ago

Evaluate 48 + 24 ÷ 8 − 22

Licemer1 [7]

Answer:

Using PEMDAS, we would first divide 24/8=3. Then, since there is no multiplication or division left, we can finish up with adding and subtracting. So, 48+3-22=29.

So 29 is the answer.

3 0

3 years ago

Read 2 more answers

2(x+3)=x-4<br> please help me <3

vovikov84 [41]

2(x + 3) = x - 4

distribute

2x + 6 = x - 4

either subtract 6 from both sides or add 4. i will be subtracting 6.

2x = x - 10

subtract x from both sides

x = -10

4 0

2 years ago

Justin has a roll of tape 549 centimeters long. he cuts the tape into pieces that are 9 centimeters long. How many 9 centmeter p

Olenka [21]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is the measure of Zx?<br> X= ??

Montano1993 [528]

Answer:

x = 31 degrees

Step-by-step explanation:

180 - 149 = 31

Hope this helps!

3 0

3 years ago