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stich3 [128]
3 years ago
6

If an object is dropped from a height of 200 feet, the function h(t)=-16t^2=200 gives the height of the object after t seconds.

Approximately, when will the object hit the ground? (1point)
A.200.00 seconds
B.184.00 seconds
C.3.54 seconds
D.0.78 seconds
Mathematics
1 answer:
Fed [463]3 years ago
5 0
Hello,
Answer C
h(t)=0=-16t²+200==>t=3.53533...(s)
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Let v1=(2,-6) and v2=(-4,7)
seropon [69]

The magnitude of each vector is the Pythagorean sum of its components.


a. |v1| = √(2² + (-6)²) = √40 = 2√10

|v2| = √((-4)² + 7²) = √65


b. To make each vector into a unit vector, divide each component by the vector's magnitude.

u1 = v1/|v1| = (2/(2√10), -6/(2√10))

u1 = (√10/10, -3√10/10)


u2 = v2/|v2| = (-4/√65, 7/√65)

u2 = (-4√65/65, 7√65/65)


8 0
3 years ago
I need help learning how to solve <br> -p-4p&gt;-10
Zepler [3.9K]

combine like terms: -5p > -10

divide by -5 on both sides: p > 2

4 0
3 years ago
1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?
gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0
2 years ago
2(x-3)=2x-6 is an example of which property
Jlenok [28]

2(x-3)=2x-6 This is distributive property.

2(x-3)= 2x - 2*3 = 2x-6

7 0
3 years ago
My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul
Alina [70]

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

7 0
3 years ago
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