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labwork [276]
3 years ago
12

John runs every day. The number of miles that he runs varies per day. Write a variable expression to show John's total miles for

three days."
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0
In this item, we are given that the number of miles that John runs every day vary. Therefore, it is just rightful that we use three different variables for the number of miles he ran for three days. For the purpose of representation in this item, we let the variables be x, y, and z. The total miles he ran is equal to the sum of the three variables. Let T be the total and that would be equal to,

 <em>              T = x + y + z</em>
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A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?
Kipish [7]
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
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6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
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arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
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4 0
3 years ago
Prime factor tree of 385
timama [110]


11*5*7 

385 breaks down to 7 and 55. Bring the seven down. Break 55 down to 11 and 5. Then bring those down and you get 11*5*7

4 0
3 years ago
I will give you a Brainly crown if it is right. Will you help me
Rufina [12.5K]

Answer:

angle b is 30 degrees

Step-by-step explanation:

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7 0
3 years ago
3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
Bracket is necessary in order of operations​
Makovka662 [10]

Answer:

yes

Step-by-step explanation:

they are necessary

5 0
3 years ago
Read 2 more answers
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