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rewona [7]
3 years ago
15

If 8,x,y,z and 20 are in arithmetic progression, find x,y,and z​

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

x= 11

y=14

z=17

Step-by-step explanation:

(Last number - first number in series) / numbers from the first to last number in series

(20-8)/4 = 3

8 + 3 = x

x + 3 = y

y + 3 = z

z + 3 = 20

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You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°.
tiny-mole [99]

Answer:

Length of the ramp = 18.6 feet (Approx.)

Step-by-step explanation:

Given:

Horizontal distance (base distance) = 17 feet

Angle of elevation = 24°

Find:

Length of the ramp

Computation:

Cosθ = Length of base / Length of hypotenuse

Cos 24 = Horizontal distance (base distance) / Length of the ramp

Cos 24 = 17 / Length of the ramp

0.9135 = 17 / Length of the ramp

Length of the ramp = 17 / 0.9135

Length of the ramp = 18.6 feet (Approx.)

6 0
3 years ago
Please help me find the y-intercept
solong [7]

Answer:

The y intercept is (0,-1)

Step-by-step explanation:

To find the y intercept, let x = 0

y = -x^2 -6x-1

y = -0^2-6(0) -1

y = -1

The y intercept is (0,-1)

5 0
2 years ago
Which expressions is not equivalent 2x^2+10x+12?
sergeinik [125]

Answer:

C

Step-by-step explanation:

First, factor the original expression:

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

A:

This is equivalent to what we factored. Eliminate A.

B:

This is again equivalent to what we factored. Eliminate B.

C:

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

7 0
2 years ago
Write a real-life situation that can be modeled by the expression 5 x 3/4<br><br> 3/4 is a fraction
torisob [31]
Hello there! You can do something like this:
Kelly has 3/4 cup of a bottle of water. She likes to drink 5 times the amount of that every day. How many cups of water does Kelly like to drink every day?
Hope this helped you!
Good luck!
4 0
3 years ago
Read 2 more answers
Help me... I don't really understand and need an explanation
ehidna [41]

Answer:

x=17

Step-by-step explanation:

This should be for a "kite": AD=DC, AB=BC and ∠A=∠C

8x-27 = 3x+58

5x = 85

x = 17

3 0
3 years ago
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