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photoshop1234 [79]
3 years ago
10

4x-5=7+4y How do you solve?

Mathematics
1 answer:
solong [7]3 years ago
5 0
 solve for x.

4x−5=7+4y

Add 5 to both sides.

4x−5+5=4y+7+5

4x=4y+12

Divide both sides by 4.

4x/4=4y+12/4

x=y+3

-----------------------------------------------------
Have a nice day! :)

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GEOMETRY-TRIG
Andrej [43]

Answer:

6. The distance Rampy Ronald would have travelled horizontally is approximately 48.428 feet for an actual maximum height of 21.486 feet

7. Rampy Ronald is going to make the jump

Please find attached the graph of the motion of Rampy Ronald, created with Microsoft Excel

Step-by-step explanation:

6. The given parameters are;

The width of the ravine = 80 ft

The inclination of the ramp with which Rampy Ronald will jump = 30°

The distance from the edge of the ravine the ramp ends = 5 feet

The speed with which Rampy Ronald will make the jump = 60 mph

The maximum height he will reach = 30 feet

Therefore, we have;

The height of the end of the ramp = 15 × sin(30°) = 7.5

The height of the end of the ramp = 7.5 feet

The height of the jump = 30 - 7.5 = 22.5

The vertical velocity = 60 × sin(30°) = 30

The vertical velocity = 30 mph

The horizontal velocity = 60 × cos(30°) = 30·√3

The horizontal velocity = 30·√3 mph

From the kinematic equation, v² = u² - 2gh, we have;

u² = 2gh

h = u²/2g = 900/(2 × 32.17405) ≈ 13.986

The maximum height reached 13.986 + 7.5 = 21.486

From v = u - gt

t = u/g = 30/32.17405 ≈ 0.932

t  ≈ 0.932 s

The distance Rampy Ronald would have travelled horizontally = 30·√3 × 0.932 ≈ 48.428

The distance Rampy Ronald would have travelled horizontally ≈ 48.428 feet

7. The time before Rampy Ronald reaches ground level again, is given by the following relation;

h = 1/2·g·t²

21.846 = 1/2 × 32.17405 × t²

t = √(21.846/16.087025) ≈ 1.165

t ≈ 1.366 s

The horizontal distance traveled is therefore;

The horizontal distance traveled from maximum height is 30·√3 × 1.165 ≈ 60.535

The horizontal distance traveled from maximum height is ≈ 70.979 feet

The total horizontal distance traveled ≈ 48.428 + 60.535 = 108.963

The total horizontal distance traveled ≈ 108.963 feet

The total horizontal distance required to make it across the ravine = 5 feet + 80 feet = 85 feet

Therefore, Rampy Ronald is going to make the jump

8 0
2 years ago
The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?
Virty [35]

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

8 0
2 years ago
I need a answer A.S.A.P PLEASE WILL GIVE 19 POINTS
Ipatiy [6.2K]

Answer:

Okie when you do these you got to give all information

Step-by-step explanation: because people can help you instead of looking at a picture wonderin what they are they are supposed to do

3 0
3 years ago
Help I will be marking brainliest!!!
expeople1 [14]

Answer:

A. 51°

Step-by-step explanation:

By the theorem of intersecting secants.

m\angle B=\frac{1}{2} (m\widehat{LW} - m\widehat{MU})

44.5\degree =\frac{1}{2} (140\degree - m\widehat{MU})

2\times 44.5\degree = 140\degree - m\widehat{MU}

89\degree = 140\degree - m\widehat{MU}

m\widehat{MU} = 140\degree -89\degree

m\widehat{MU} = 51\degree

8 0
2 years ago
If x+3/3 = y+2/ 2 , then x/3 = _____.​
iren [92.7K]

the question is not so clear

is it (x+3)/3 or what you have written is correct

Step-by-step explanation:

4 0
2 years ago
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