1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-Dominant- [34]
3 years ago
12

Somebody please help me?! I'll mark brainliest if you're correct!

Mathematics
1 answer:
prisoha [69]3 years ago
8 0
Since the bolts need to be within 0.2 mm of 12 mm, that means that the length of the bolts are anywhere between 12 mm + 0.2 mm and 12 mm - 0.2 mm.

1. Since they are within 0.2 mm, and since it doesn't specify if they are plus or minus, the bolts can be at lengths anywhere from 12.2 mm to 11.8 mm. 

     a) Since the bolts are within 0.2 mm of 12 mm, that means that the longest would be 12 mm + 0.2 mm which is equal to 12.2 mm.

     b) Since the bolts are within 0.2 mm of 12 mm, the shortest bolt possible would be 0.2 mm smaller than 12 mm, which is equal to 12 mm - 0.2 mm which is 11.8 mm.
You might be interested in
Use the drawing tool(s) to form the correct answer on the provided graph.
NikAS [45]

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

6 0
3 years ago
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and ra
Viktor [21]

Answer:

This is a sphere with a center  (\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )  and radius \dfrac{4 \sqrt{3}}{3}

Step-by-step explanation:

Given that: (x,y,z)

where;

d₁ is the distance from the origin = \sqrt{x^2+y^2+z^2}

d₂ is the distance from (2,2,2) = \sqrt{(x-2)^2+(y-2)^2+(z-2)^2}

Also;

d₁ = 2d₂

\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}

By squaring both sides;

x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)

x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2

x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)

x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y  +16 + 4z^2 -16z+16

Collect the like terms:

0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16

0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16

Divide both sides by 3

\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}

0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}

Using the completing the square method;

3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}

\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2

∴

This is a sphere with a center  (\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )  and ;

radius; \sqrt{\dfrac{16}{3}}

= \dfrac{4 \sqrt{3}}{3}

6 0
3 years ago
Sarah ran 26 km in 3 hours. How far could Sarah run in 5 hours.
Digiron [165]

Answer:

43.33 km

Step-by-step explanation:

<u>Step 1:  Find the amount of km Sarah can run in 1 hour</u>

26/3

<u>Step 2:  Find the amount of km Sarah ran in 5 hours</u>

26/3 * 5

130/3

43.33

Answer:  43.33 km

8 0
3 years ago
250% as a fraction in its simplest form
Anvisha [2.4K]

Answer:

250/100 simplest form 25/10

4 0
3 years ago
Last question!<br><br> Find the equation of the line<br><br> Y=__x +__
krek1111 [17]
The answer is y=-2/6x + 5

7 0
3 years ago
Other questions:
  • The circle below is centered at the point (4,-3) and has a radius of length 3 what is it’s equation?
    13·2 answers
  • Which equation has the solution x=2?<br> A. 2x-3=19<br> B. 3x+2=8<br> C. 4x-4= - 4<br> D. 5x+1=10
    14·2 answers
  • the arnold family arrived at the beach at 10:30.they spent 3 ¾ hour at the beach what time did they leave the beach
    11·2 answers
  • Identify the type of bias. An antigun advocate wants to estimate the percentage of people who favor stricter gun laws. He conduc
    7·1 answer
  • GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
    11·1 answer
  • A school paíd $31.25 for each calculator.
    9·1 answer
  • P varies directly as q. When q=31.2,p=20.8. Find p when q=15.3.
    7·1 answer
  • on a field trip there are 3 adults for every 45 students . which graft models a relationship with the same unit rate
    9·2 answers
  • Determine whether each expression was simplified correctly.​
    13·1 answer
  • The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!