Answer:
No solution
Step-by-step explanation:
Original Equation:
5x - 5 = 5x + 7
Add 5 to both sides
5x = 5x + 12
So we already know that this equation is not true, making it no solution
Hope this helped
The first one is 40:5 becasue when you divide 40 by 8, you get 5.
The second one would probably be 42:8.4 becuase when you divide 42 by 5, you get 8.4
I'm not so sure about the secod one but i am positive about the first one.
Hope this helps!! :D
The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000
<h3>Part A: The inequality that represents the number of steps?</h3>
The given parameters are:
- Initial number of steps = 2000
- Rate each day = 500
- Total number of steps = At least 10000
In inequality, at least means greater than or equal to i.e. ≥.
So, the inequality that represents the number of step each day (x) after the first day is:
2000 + 500 * x ≥ 10000
This gives
2000 + 500x ≥ 10000
<h3>Part B: How to exceed the goal</h3>
To exceed the goal faster, Angel can do any of the following activities:
- Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
- Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000
Read more about linear inequalities at:
brainly.com/question/18881247
#SPJ1
Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
