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never [62]
3 years ago
5

1. 8 2. 20 3. 28 4. 32

Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

4. 32

Step-by-step explanation:

Note that the two shapes are congruent. RS ≅ LM  & LM = 32 ∴ RS = 32

4. 32 is your answer.

~

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sharon serves the volleyball to rhonda with an upward velocity of 18.5 ft/s. The ball is 4.5 feet above the ground when she stri
andreyandreev [35.5K]

we can use height formula

h(t)=-\frac{1}{2} g t^2+vt+h(0)

where

h(t) is the height after t seconds

v is velocity

h(0) is initial height

g is acceleration due to gravity

we know that

g=32 ft/s^2

we have

v=18.5ft/s

h(0)=4.5ft

so, we can plug these values

and we get

h(t)=-\frac{1}{2}*32 t^2+18.5t+4.5

h(t)=-16 t^2+18.5t+4.5

now, we have to find time when object will hit the ground

and we know that object will hit the ground when height becomes 0

so, we can set h(t)=0

and then we can solve for t

0=-16 t^2+18.5t+4.5

we can use pythagoras theorem

t=\frac{-185-\sqrt{185^2-4\left(-160\right)45}}{2\left(-160\right)}=\frac{37+\sqrt{2521}}{64}

t=1.36265sec..............Answer

7 0
2 years ago
James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallon of water fills 2/3 of the bin.
Karolina [17]
(2/3)x=1/4
x= 3/8

x is the amount of water to fill the whole bin
when 2/3 of the bin is full, you have 1/4
so (2/3) of x is 1/4. then i just solved

hope that helped!
5 0
3 years ago
Read 2 more answers
△ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°. Using the
True [87]
It is y=130 because they are congruent
8 0
3 years ago
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Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC​
BartSMP [9]

Answer:

  B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

  (B -A) = (3/4)(C -A) . . . . the required distance relation

  4(B -A) = 3(C -A) . . . . . . multiply by 4

  4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

  B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

3 0
3 years ago
He earns $100 each week, plus $25 for each lawn he mows.<br> Write a function,
Ulleksa [173]

Answer:

100W + 25L

Step-by-step explanation:

100 (week) + 25 (lawn) = money earned

100W + 25L

6 0
3 years ago
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