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Olegator [25]
3 years ago
13

Solve the proportion.

Mathematics
2 answers:
hjlf3 years ago
5 0
16(156.25)=50X
2,500=50X
X=50
Delicious77 [7]3 years ago
4 0
16x 152.25=50(x)
2436=50x
X=48.72
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Through: (4,2), slope = 1/4
sattari [20]

Answer:

y = 1/4x + 1

Step-by-step explanation:

y = 1/4 x + b

take the point and plug it into the formula to solve for b

2 = 1/4 (4) + b

2 = 1 + b

b = 1

6 0
3 years ago
A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

h=-16t^2+120t+10 .....(1)

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s

Put t = 3.75 in equation (1). So,

h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0
3 years ago
Find the measure of ∠EGC. Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 50 degrees, the mea
miv72 [106K]

Answer:

m∠EGC=70°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

so

m∠EGC=(1/2)[arc EC+arc DF]

<u><em>Find the value of x</em></u>

we have

m∠EGC=(7x+7)°

arc EC=50°

arc DF=10x°

substitute and solve for x

(7x+7)°=(1/2)[50°+10x°]

14x+14=50+10x

14x-10x=50-14

4x=36

x=9

<u><em>Find the measure of angle EGC</em></u>

m∠EGC=(7x+7)°

substitute the value of x

m∠EGC=(7(9)+7)°=70°

8 0
3 years ago
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$14.75 + ? = $15.70 what does it equal?
IgorLugansk [536]

Answer:

Step-by-step explanation:

0.95

5 0
3 years ago
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Finish the following table for the given function
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