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Dmitrij [34]
3 years ago
14

Use the figure to complete the statements.

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

16

10

160

Step-by-step explanation:

The base also known as the right space is 16 because its labeled!

The height is also Labeled as 10.

Now all you have to do is 10 x 16 which equals 160!

Sorry I'm late!

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t
ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

t_1 = -0.41 s

t_2=5.92 s

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

brainly.com/question/2607086

#LearnwithBrainly

8 0
3 years ago
Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
ELEN [110]
Katework+jeanwork=6
work alone
Katework=-5+Jeanwork
ad 5 to both sides
Katework+5=jeanwork
subsitute 5+katework for jeanwork
5+katework+kateworkwork=6
subtract 5 from both sides
2katework=1
divide both sides by 2
katework=0.5days

equation would be
jeanwork+katework=6 and
katework=jeanwork-5 are the equations

5 0
3 years ago
Helppppp pleaseeeeeeeeeeeeeeeeeeeeee
KatRina [158]

Answer:

6.3

Step-by-step explanation:

Two sides are 9.6 meters long. The perimeter is 31.8 meters.

31.8-9.6-9.6=12.6 the remaining two sides.

12.6/2=6.3 represents the lengths of the other twp sides.

4 0
3 years ago
Read 2 more answers
The table shows values for functions f(x) and g(x) .
Rama09 [41]

Answer:

x=-1 and x=1

Step-by-step explanation:

all you have to do is replace the letters with numbers and

5 0
3 years ago
The perimeter of this kite is 108 cm.
taurus [48]

Answer:

n is equal to 26

Step-by-step explanation:

Equation: n+ n + (n+2) +(n+2) = 108

so: 2n + 2(n+2) = 108

2n + 2n + 4 = 108

4n + 4 = 108

4n = 108 - 4

4n = 104

n = 104/4

n = 26

6 0
2 years ago
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